Jordan and his children went into a grocery store and he bought $13.50 worth of apples and mangos. Each apple costs $1.50 and each mango costs $0.75. He bought 6 more mangos than apples. Determine the number of apples and the number of mangos that Jordan bought.

Answers

Answer 1

The number of apples and the number of mangos that Jordan bought is

8 apples and 2 mangoes

How to find the amount Jordan bought

The worth of apple and mango is $13.50

Each apple costs $1.50 and each mango costs $0.75

let the amount of apple by x then amount of mangoes be y. such that

1.50x + 0.75y = 13.50

6 more mangoes than apples this means that

x = y + 6

x - y = 6

the two equations formed are

1.50x + 0.75y = 13.50

x - y = 6

solving the simultaneous equation gives

x = 8

y = 2

The number of apples bought is 8  and the number of mangoes bought is 2

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Related Questions

2. Theodore is writing the program for a video game. For one part of the game, he uses the rule (x, y) à (x + 4, y – 2) to move points on the screen. (a) What output does the rule give when the input is (7, -7)? Show your work. (b) What output does the rule give when the input is (-2, 0)? Show your work. (c) Is the rule a function? Explain why it is or why it is not.

Answers

Answer:

Step-by-step explanation:

If Amy is tardy, then she will get a detention

Consider the INVERSE of this statement. What is the TRUTH VALUE of the INVERSE?

PLEASE THIS IS DUE IN 2 MINUTES

Answers

Answer:

Step-by-step explanation:

o

The answer is is “ then “

what are the degrees of freedom used to test the significance of the slope in a simple linear regression equation? multiple choice n − 1 n − 2 n − 1, n − 2 (n − 1)(n − 2)

Answers

The degrees of freedom used to test the significance of the slope in a simple linear regression equation is n-2.

The maximum number of logically independent, or potentially different, values in the sample of data is referred to as the degree of freedom.

The degree of freedom is a fundamental concept that can be found throughout statistics in a variety of contexts, such as with hypothesis tests, probability distributions, and linear regression.

The degrees of freedom are n−k, however, in simple linear regression you estimate both a y-intercept and a slope, so k=2. Even though we generally don't worry about testing the intercept, it still uses up a degree of freedom, the slope would be very different and have a very different interpretation if we did not estimate an intercept along with the slope.

When we put the value of k=2 we get degrees of freedom are n-2.

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the minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 mintue?

Answers

The length of the minute hand is stated as r=6 inches. We are aware that the minute hand will create a 90° angle in 15 minutes. The measurement is 9.4248 inches as a result.

What is an angle?

An angle is a shape made up of two rays that share an endpoint and is known as the vertex of the angle. These rays are known as the sides of the angle. The plane that contains the rays contains the angles created by two rays. The meeting of two planes can also result in an angle. They are referred to as dihedral angles.

The orientation of a line with another line or plane is represented by its angular position. How far the body has been rotated from the reference position is used to measure angular position.

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let ϕ : g → h be a homomorphism. (a) show that if h is abelian and ϕ is one-to-one, then g is abelian. (b) show that if g is abelian and ϕ is onto, then h is abelian. (c) if ϕ is an isomorphism, show that g is abelian if and only if h is.

Answers

When Ф(b)Ф(a) = Ф(ba) , then  Ф is an isomorphism G is abelian

Let ϕ:G→H be an isomorphism.

If G is abelian, we have xy = yx , for any x,y ∈ G. Consider any two element in H , say c and d . Since Ф is an isomorphism , we have c = Ф(a) and d = Ф(b) for some a,b ∈ G . Hence,

cd = Ф(a)Ф(b) = (ab) =Ф(ba)

=Ф(b)Ф(a) =  dc

This means H is an isomorphism.

If H is abelian, we have xy = yx, for any x,y ∈ H. Now consider two elements in G , say a and b .Since Ф is mapping , we have c = Ф (a) and d = Ф(b) for some c,d ∈ H. Hence ,

Ф(ab) = Ф(a)Ф(b) = cd = dc

= Ф(b)Ф(a) = Ф(ba)

Since,  is an isomorphism , we have ab = ba ,

This means G is also abelian  

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Camden found a bike on sale for $121. The sale was 45% off. How much money did Camden save on the bike because of the sale?

Answers

camden saved 54.45 on the bike

is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4

Answers

The area of a circle with radius 4 is 50.24.

Writing the equation form for area and radius of two circles -

(Area/radius²) for circle 1 = (Area/radius²) for circle 2

Keep the values in the relation to find the area of small circle.

314/10² = Area/4²

Area = (314 × 16)/100

Performing multiplication on Right Hand Side of the equation to find the area of circle

Area = 5024/100

Performing division on Right Hand Side of the equation to find the area of circle

Area = 50.24

Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.

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if the radius of a circle is 8 inches. What is the circle's area?

Answers

The circle's area is 200.96 square inches.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Any round form without edges or line segments is called a circle. In geometry, it has the shape of a closed curve.

radius, r =  8 inches

Area of a circle:

A = π r²

  = 3.14 * 8²

  = 200.96 square inches

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scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts). how many different campout crews are possible?

Answers

As per the combination method, there are 42504 different campout crews are possible.

Combination method:

In math, combination method means a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given,

Scout troop 456 has 24 members. the scoutmaster appoints a 5-member campout crew composed of a leader, a cook, and a cleanup crew (3 scouts).

Here we need to find the number of different campout crews are possible.

According to the nCr formula, here the value of

n = 24

And the value of r = 5

Then the number of possible combinations are calculated as,

=> ²⁴C₅ = 24!/5!(24 - 5)!

=> ²⁴C₅ = 24!/5!19!

=> ²⁴C₅ = 42504

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Find the absolute extrema for the given function on the interval [15.6, 19.2). Write your answer in the form (x.f(x)). Round your answers to two decimal places. f(x) = In (12x^2 - 11x + 2)
Absolute Minimum: Absolute Maximum

Answers

the absolute extrema of the linear equation f(x) =  12x^2 -11x +2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

What are the absolute extrema of a linear equation within a closed interval?

According to the functions theory, linear equations have no absolute extrema for all real numbers, but things are different for any closed interval as absolute extrema are the ends of linear function. Now we proceed to evaluate the function at each point:

Absolute maximum

f(- 8) =   12x^2 -11x +2

f(- 8) = 27

Absolute minimum

f(4) = - 3 · 4 + 3

f(4) = - 9

By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = 12x^2 -11x+2  are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

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9. a baseball team has a total of 18 pitchers. the ratio of right-hand pitcher to total number of pitchers is 5:6. how many left-hand pitchers does the team have?

Answers

The number of Left Hand pitchers that the team have is 3 .

In the question ,

it is given that ,

the total number of pitchers in the baseball team is = 18

and the ratio of right hand to total pitchers is = 5 : 6

we have to find the number of left hand pitchers that the base ball team have .

From the ratio, the total number of pitchers is = 6x ,

and number of right hand pitchers = 5x ,

So , the number of left hand pitchers = x ,

that means , 6x = 18

Simplifying further ,

we get ,

x = 3,

Therefore , there are 3 left hand pitchers .

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find the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the indian city palasa kasibugga. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

The probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

According to the question,

We have the following information:

Words are:

Palasa Kasibugga

Now, total number of letters = 15

Number of a in these words = 4

Number of letters other than a = 11

We know that the following formula is used to find the probability of an event:

Probability = Number of favorable outcomes/total number of outcomes

Probability = 11/15

Hence, the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

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One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2x and x + 12. Determine the other two degree measures for the missing angles

Answers

Answer:

Step-by-step explanation:

Measure of one angle= 96

one angle= 2x

other angle= x + 12

By using angle sum property, we know that sum of all angles in a triangle is 180 degree.

so,

96 + 2x + x+12 = 180

108 + 3x = 180

3x = 180 - 108

3x = 72

x = 72/3

x = 24

So,

one angle (2x) = 2 * 24

                        = 48

other angle ( x + 12 ) = 24 + 12

                                  = 36

Hence, the other two degree measures for the missing angles is [tex]36[/tex].

What is the angles?

Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.

The point at which the two rays meet (intersect) is called the vertex.

Here given that,

One measure of an angle in a triangle is [tex]96[/tex] degree. The other two angle measures are represented by [tex]2x[/tex] and [tex]x + 12[/tex].

So,

Measurement of one angle= [tex]96[/tex] degree

One angle= [tex]2x[/tex]

Other angle= [tex]x + 12[/tex]

As we know that sum of all angles in a triangle is [tex]180[/tex] degree.

So,

[tex]96 + 2x + x+12 = 180\\\\108 + 3x = 180\\\\3x = 180 - 108\\\\3x = 72\\\\x = \frac{72}{3}\\\\x = 24\\\\[/tex]

So,

One angle  is

[tex](2x) = 2 (24)\\=48[/tex]

Other angle is ( x + 12 ) = 24 + 12

[tex]( x + 12 ) = 24 + 12\\=36[/tex]

                           

Hence, the other two degree measures for the missing angles is [tex]36[/tex].

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Cuál es la suma de 10 y -3​

Answers

-6 creo que esa es la respuesta

Answer: -6

Step-by-step explanation:

You're welcome I'm not sure if it corrects correct, but this is my answer

i dont know what im doing please help

Answers

Answer:

  x = 62°

Step-by-step explanation:

You want the base angle in an isosceles triangle with a vertex angle of 56°.

Isosceles triangle

The sides of any triangle are proportional to the sine of the opposite angle. When two sides have the same measure, their opposite angles will have the same measure. Since the sum of angles in a triangle is always 180*, this means ...

  56° +x° +x° = 180°

  2x = 124° . . . . . . . . . . subtract 56°

  x = 62° . . . . . . . . . . divide by 2

The measure of the angle marked x is 62°.

__

Additional comment

The sides are all specified. This means you can find the angles of the triangle by solving it based on the side lengths. If you do that, you find that x ≈ 61.641°, as shown in the first attachment. This rounds to 62°.

As you can see in the second attachment, a better length for the side opposite the 56° angle would be 5.6 units instead of 5.7.

In short, the answer you get depends on how you use the given information.

<95141404393>

9. You Be the Teacher Is your cousin
correct? Explain.
4
MTR
14
X 0.82
28
+ 1120
1148

Answers

Nope incorrect
The first part is right but the next part is wrong

The effectiveness of a blood-pressure drug is being investigated.
An experimenter finds that, on average, the reduction in systolic blood pressure is 55.8 for a sample of size 29 and a standard deviation 7.9.
Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 90% confidence level).
Assume the data is from a normally distributed population.
Answer as a tri-linear inequality accurate to 3 decimal places.

Answers

A tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3   ≤  x-bar  ≤  58.3.

Explain the term tri-linear inequality?Equal does not imply inequality. Tri signifies three. The range is defined in terms of inequalities by the tri-linear inequality.

For the stated question-

Average of reduction in systolic blood pressure μ = 55.8.

Standard deviation s = 7.9.

Sample of size n = 29

The confidence interval is estimated as-

μ - t₀.₀₅(s/√n)  ≤  x-bar  ≤  μ + t₀.₀₅(s/√n)

Put the values-

55.8 - t₀.₀₅(7.9/√29)  ≤  x-bar  ≤  55.8 + t₀.₀₅(7.9/√29)

On simplifying,

53.3   ≤  x-bar  ≤  58.3

Thus, a tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3   ≤  x-bar  ≤  58.3.

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A 2. 8 kg rectangular air mattress is 2. 00 m long, 0. 500 m wide, and 0. 100 m thick. What mass can it support in water before sinking?.

Answers

The mass that can rectangular air mattress can support in water before sinking is 97.2 kg

Consider the rectangular air mattress

The length = 2 meter

The width = 0.500 meter

The thickness = 0.100 meters

The volume = Length × width × thickness

The volume = 2 × 0.500 × 0.100

= 0.1 cubic meters

We know,

Total weight = Volume × Density × g

The density of water = 1000 kg/ meter square

Total mass = 0.1 × 1000 × 9.81

= 981 N

The the equation of mass will be

(2.8 + m) × 9.81 = 981

2.8 + m = 100

m = 100 - 2.8

m = 97.2 kg

Therefore, it will support 97.2 kg water before sinking

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the length of a model ship is 8 in its actual length is 100 ft what is the scale of the model

Answers

The scale of the model when the length of a model ship is 8 in its actual length is 100 ft is 1:150.

What is a scale?

The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. Maps and blueprints would be useless without scales. A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size.

From the information, the length of a model ship is 8 in its actual length is 100 ft

It should be noted that;

1 foot = 12 inches

Therefore, 100 feet will be:

= 100 × 12

= 1200 inches

Therefore, the scale will be:

= 8/1200

= 1/150

= 1:150

The scale is 1:150.

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a parabola has one x-intercept at (– 4, 0). if the vertex is at (2, 5), find the other x-intercept.

Answers

The equation of the parabola is  y -5 = (5/6) (x - 2)^2

How do you define a parabola?

a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.

What is the parabola on a graph?

A quadratic function's U-shaped curve is shown on a parabola graph. A right circular cone and a plane surface intersect to form one of the conic sections known as a parabola in mathematics. The plane is symmetrical. U-shaped bend

y - k = a (x - h)2

where the vertex is (h,k). Since the vertex is known to be at (7,-3), we know that h = 7 and k = -3. Consequently, the equation is

y -5 = a (x - 2)2

We utilize the fact that the parabola passes through point to determine a for (4,0). With x =- 4 and y = 0, we obtain

0 - 5 = a (-4 - 2)

-5 = a (-6)2

-5 = -6a

a = 5/6

Consequently, the parabola's equation is

y -5 = (5/6) (x - 2)^2

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a) How many prime numbers are multiples of 5?
b) How many prime numbers are multiples of 8?​

Answers

Answer:

afternoon and

a) =1

Step-by-step explanation:

because there is only one prime number in multiples of 5 that is 5

d) 1

every rational number has a decimal expansion, so we could apply this same argument to show that the set of rational numbers between 0 and 1 is uncountable. however, because we know that any subset of q must be countable, the proof of theorem 1.6.1 must be flawed.

Answers

Every rational number can be expressed in decimal form. This argument cannot be used to demonstrate that rational numbers between 0 and 1 are countable. We frequently use this fact to demonstrate that rationals are countable since every rational number has a decimal representation that terminates on a non-teminating repeating sequence.

Rational number:

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals). The word "ratio" is where the word "rational" first appeared. Rational numbers are therefore closely tied to the idea of fractions, which stand for ratios. In other terms, a number is a rational number if it can be written as a fraction in which the numerator and denominator are both integers.

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two half-cylinders of diameter 2 meet at a right angle in the accompanying figure. find the volume of the solid region common to both half-cylinders. (hint: consider slices parallel to the base of the solid.)

Answers

The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

Given that,

In the following figure, two half-cylinders of diameter 2 come together at a right angle.

We have to determine the solid region's common volume for the two half-cylinders. (Hint: Take into account slices that are parallel to the solid's base.)

We know that,

Using the Pythagoras theorem,

S²+x²=r²

Diameter=2

2r=2

r=1

S²+x²=1

S²=1-x²

S=√(1-x²)

[tex]\int\limits^1_0 {Area(x)} \, dx[/tex]

4[tex]\int\limits^1_0 {1-x^{2} } \, dx[/tex]

4(x-x³/3)₀¹

4(1-1/3)

4(2/3)

8/3

Therefore, The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

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2
52
3
5
4
47°
W
m/1 =
m/2 =
m/3=
m/4=
m25 =

Answers

Answer:55.9074

Step-by-step explanation:

a new surgical procedure is said to be successful 90% of the time. suppose the procedure is performed five times. assume that the results of each procedure are independent of one another. in this binomial distribution application, which excel statement will find the probability of between 2 and 4, inclusively, successful surgical procedures?

Answers

The required probability is p(xS 2) =F(2).

Given that,

90% of the time, a novel surgical technique is deemed to be successful. Imagine that the technique is carried out five times. Count on the outcomes of each procedure being distinct from one another. in this application of the binomial distribution

BINOMDIST (2,5,90%, TRUE) is used to find the probability of 2 or fewer

to get 0.00856 because x =2 and n= 5 and TRUE indicates the cumulative

and the required probability is p(xS 2) =F(2)

Therefore, the required probability is p(xS 2) =F(2).

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Rewrite 4/6 : 1/3 as a unit rate

A. 2:1
B. 2:9
C. 12:9
D. 12:6

Answers

Answer: 2/1 should be your answer

Step-by-step explanation:

4 x 3= 12/6

1 x 3= 3/3

12 divided by 2 = 2  3 divided 3= 1

2/1

a scale drawing of an office space uses a scale of 1 in. : 6 yd. the scale drawing has an area of 6 square inches. what is the area of the actual office space?

Answers

The area of the actual office space is 36 yards if the scale is 1:6 yards.

An item is enlarged in a scale drawing. An expansion increases or decreases the size of an item by multiplying each of its lengths by a scale factor. A scale of 1:5, for instance, indicates that the size of 1 unit in the picture corresponds to the size of 5 units in the actual world.

The scale of office space is 1:6 yards. The scale drawing has an area of 6 square inches. This means that 1 scale represents 6 square inches of office. For the actual area multiply 6 by the area of the scale drawing which will give 36 yards.

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write a formula for f, the specific antiderivative of f. (remember to use absolute values where appropriate.) f(u)

Answers

The formula for f , the specific antiderivative of f  is F(u) = 4㏑(u) + u²/2 + 11/2  .

In the question ,

it is given that ,

the function f(u) is f(u) = 4/u + u and f(1) = 6 ,

to find the antiderivative of f , we integrate it with respect to u ,

∫f(u) = 4∫(1/u)du + ∫u.du

On integrating ,

we get ,

F(u) = 4㏑(u) + u²/2 + c      ......equation(1)

Substituting the value of u = 1 in equation(1) ,

we get ,

F(1) = 4㏑(1) + 1/2 + c

6 = 0 + 1/2 + c

c = 6 - 1/2

c = 11/2 .

Now , substituting the value of c = 11/2 in equation(1) , we get

F(u) = 4㏑(u) + u²/2 + 11/2

Therefore , the formula for f is F(u) = 4㏑(u) + u²/2 + 11/2 .

The given question is incomplete , the complete question is

Write a formula for f, the specific antiderivative of f.  

f(u) = 4/u + u ; F(1) = 6  .

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work out angle h
(simple circle theorems)
could someone help me with this? i will rate brainliest xx

Answers

Answer:

  h = 90°

Step-by-step explanation:

You want the measure of the inscribed angle in a semicircle.

Inscribed angle

An inscribed angle has a measure equal to half the arc it subtends. Angle h intercepts the circle at the endpoints of a diameter, so subtends an arc of 180° (half a circle).

The measure of angle h is half of 180°, or 90°.

  h = 90°

__

Additional comment

The fact that a triangle inscribed in a semicircle is a right triangle is useful for a variety of purposes. It is also useful to note that the circle center is the circumcenter, and is the midpoint of the hypotenuse.

a rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.

Answers

As per the volume of the rectangular tank, the dimensions are 13.78 x 379.82 x 13.78

Volume of rectangle:

The general formula to calculate the volume of the rectangle is

V = length x width x height.

Given,

A rectangular tank that is 5234 ft^3 with a square base and open top is to be constructed of sheet steel of a given thickness.

Here we need to find the dimensions of the rectangular tank,

As per the given volume of rectangular tank, when we equate this with the formula, then we get,

=> 5234 = length x width x height.

Let us consider the length and the width are equal then we get the value of height as.

=> height = 5234/length

So, the value is calculated by using the surface area formula,

=> A = length² + 5234/length

When we differentiate the surface area with respect to

=> dA/dl = 2l - 5234/l²

To minimize the surface area, so dA/dl = 0,

=> 2l = 5324/l²

=> 2l³ = 5234

=> l³ = 2617

=> l = ∛2617

Therefore, the value of length is 13.78

Then the height is calculated as.

=> h = 5234/13.78 = 379.82

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The Maryam Co. had the following activities related to painting a Bakery:Sept. 1 Signed a contract to paint the Bakery, $8,000.Sept. 8 Purchased paint, $2,000.Sept. 12 Hired painters, promising to pay $3,900.Sept. 14 Received a deposit of $3,000 on the contract.Sept. 18 The painting was completed to the satisfaction of the Bakery's manager.Sept. 20 Bill mailed to Bakery, $5,000 balance due.Oct. 8 Collected receivable from Bakery, $5,000 and the painters are paid.On an accrual basis, when should Maryam recognize revenue on the contract? what are the similarities between rhodopis and cinderella story? what is endotoxin shock? how does it differ from inflammation? was josh at risk of endotoxin shock with his staph infection? g when you ask your audience to have faith in you based on your good character and competence, you are making an appeal based on What is your response to this question How many seconds would it take a Dalmatian to accelerate from rest to itstop speed of 16.5 m/s over a distance of 11 meters? in 1902 george owned a small shoe factory and wanted to expand his business. he went to the local prison and agreed to provide materials and equipment so the inmates could make shoes inside the prison. george also agreed to pay the prison a set amount for each inmate he hired. this is an example of which system of inmate labor? If cos of = 2/5, find sin /2 and cos /2. Assume the angles are in the 1st quartile How did France's support of American colonies in their fight for independence contribute to the French Revolution?A. It forced Louis XVI to raise taxes to pay off wartime debts, outraging French citizensB. It angered Roman Catholic leaders, who convinced Catholics to leave the estates generalC. It weakened France's domestic defenses, allowing foreign troops to attack its bordersD. It gave Maximilien Robespierre military experience, helping him overthrow Louis XVI's armies What two traits did Mendelcross in the first dihybridtest?A. seed shape and seed color thisB. plant height and pod shapeC. seed shape and plant height the external urethral sphincter is a circular muscle band that relaxes to allow urine to pass. this exemplifies what property of skeletal muscle tissue? "Kiche!" the man cried again, this time with sharpness and authority.And then the cub saw his mother, the she-wolf, the fearless one, crouching down till her belly touched the ground, whimpering, wagging her tail, making peace signs. The cub could not understand. He was appalled. The awe of man rushed over him again. His instinct had been true. His mother verified it. She, too, rendered submission to the man-animals.Which best states the perspective of White Fangs mother in the excerpt? calculate the volume of solution in liters, l, needed to prepare a 0.650 m solution from 180.0 g of magnesium chloride, mgcl2. the molar mass of mgcl2 is 95.21 g/mol. choose one word from the following diagnostic statement that identifies the main term: dermatitis due to allergy a nurse working in a health clinic assesses sleep patterns during each health assessment. based upon the nurse's knowledge regarding sleep needs, the nurse recognizes which age group as generally needing the least amount of sleep? Mrs. Becker is married and does not wish to file a joint return. She paid more than half the cost of keeping up her home, in which she and her dependent son lived for the entire year. Mr. Becker left on the fourth of July and she has not seen him since. What filing status will Mrs. Becker use? a sample of nitrogen gas collected at stp occupies a volume of 45.1 l. how many moles of gas does the sample contain? which statement about deuterostomes is false? group of answer choices three distinct layers of tissue are present during development. if a coelom is present, it formed within the embryonic mesoderm. its early embryonic cleavage pattern is radial. it is diploblastic. gastrulation occurs during development. the mckinney-vento homeless assistance act created all of the following programs except:providing transitional and permanent housing to familiesproviding block grants to the states for emergency shelters.eliminating tanf to some homelessincreasing sro housing Distillation is a technique in which substances are separated based on their what