aldo's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs $4.10 aldo per pound, and type b coffee costs $5.45 per pound. this month's blend used twice as many pounds of type b coffee as type a, for a total cost of $465. how many pounds of type a coffee were used?

Answer:

3/2

Step-by-step explanation:

slope is rise over run:

3/2

Distance of the race is 500 feet.

Given that tortoise moves at 50 feets per hour and hare moves at 250 feets per hour.

So speed of tortoise = 50 feets per hour.

Speed of hare = 250 feets per hour.

Let hare takes T hours to complete the race

Than tortoise will take (T + 8) hours to complete the race.

Total distance traveled by hare = speed * time = 250T

Total distance traveled by tortoise = speed * time = 50(T + 8)

Total distance traveled by both is same.

250T = 50(T + 8)

250T = 50T + 400

250T – 50T = 400

200T = 400

T = 2 hours

So, total distance of the race = 250T = 250 * 2 = 500 feet.

Therefore, total distance of the race is 500 feet.

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The coordinates of point A after a reflection over the y-axis are given as follows:

A(3,-9).

The original coordinates of A are given as follows:

A(-3,-9).

The rule for a reflection over the y-axis is given as follows:

(x,y) -> (-x,y).

Meaning that the x-coordinate has the signal exchanged while the y-coordinate remain constant, hence the coordinates of point A after a reflection over the y-axis are given as follows:

A(3,-9).

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Data collected at the same, or approximately the same point in time are  Cross- sectional data

In statistics and econometrics, cross-sectional data, or a cross section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.

For instance, if we wanted to determine the prevalence of obesity in a population, we could randomly select a sample of 1,000 people (also referred to as a cross section of that population), measure their height and weight, and then determine what proportion of that sample falls under the definition of obesity. With the use of this cross-sectional sample, we are able to get a current picture of that group. Be aware that based on a single cross-sectional sample, we cannot determine whether the prevalence of obesity is rising or falling; we can only describe the current proportion.

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Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.

Define slope -intercept form?

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The angles in the quadrilateral are as follows:

g = 116 degrees

h = 64 degrees

A quadrilateral is a polygon with 4 sides. The sum of angles in a quadrilateral is 360 degrees.

Therefore, let's find the angles g and h in the quadrilateral. According to the diagram, the quadrilateral has opposite side parallel to each other.

Therefore, the diagram can be regarded as a parallelogram.

Hence, adjacent angles of the diagram are supplementary.

Supplementary angles add up to 180 degrees.

Therefore,

116 + h = 180

h = 180 - 116

h = 64 degrees.

Therefore,

64 + g  = 180

g = 180 - 64

g = 116 degrees.

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Answer: $250

Step-by-step explanation:

If Jake still owes $185 and only just paid back $65, you need to add 185 and 65 together to get the total amount that he borrowed.

The given statement using variables, quantifiers and symbols only ∀x ∈ p, ∃y ∈ p, t(x,y).

Predicate variables are quantified using quantifiers. It contains a formula, a type of statement whose veracity depends on the values of various parameters.

A predicate turns into a proposition when we give it a definite value. Another way to put it is that the predicate will turn into a proposition if it is quantified.

Therefore, the phrase "quantify" refers to quantifiers like "all" or "some."

The two basic categories of quantifiers are existential and universal quantifiers.

Additionally, it demonstrates whether the predicate is true or false for all conceivable values or for specific value(s) inside the realm of discourse.

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Only variables, quantifiers, and symbols are used in the following statement: ∀x ∈ p, ∃y ∈ p, t(x,y).

Only variables, quantifiers, and symbols are used in the supplied statement.

Quantifiers are used to quantify predicate variables. It includes a formula, which is a sort of assertion whose truth is determined by the values of several factors.

When we assign a definite value to a predicate, it becomes a proposition. Another way to say it is that if the predicate is quantified, it becomes a proposition.

As a result, the term "quantify" refers to quantifiers such as "all" or "some."

Existential and universal quantifiers are the two primary types of quantifiers.

It also shows whether the predicate is true or false for all possible values or for specified value(s) inside the scope of discourse.

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The cost of 1 mall candle = $1 while the cost of 1 large candle = $5

Let the cost of 1 mall candle = x

Let us assume that the cost of 1 large candle = y

So, in case 1,

As I can buy,

4 mall candles and 2 large candles for $14

So, framing the equation,

We can rewrite it as:

4x+2y = 14-------(1)

As my friend can buy 5 mall candles and 3 large candles for $20

Now again framing the equation,

We can write it as:

5x+3y=20 -------(2)

From (1) and (2), for determining the value of x, we will first make the coefficient of y equal in both cases.

So, multiply the first equation by 3 and the second by 2

We will get,

12x+6y=42 -----(3)

10x+6y=40------(4)

Now subtracting (4) from (3)

We will get,

2x=2

=>x=1

So, for determining the value of y,

We will put the value of x in (1)

So,  4x+2y = 14-------(1)

=> 4+2y=14

=>2y=10

=>y=5

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The cost of a small candle is equal to $1, and the cost of each large candle is $5..

When I buy the candles,

Cost of 4 small and 2 large candles = $14

but when my friend purchse the candles , cost of 5 small and 3 large candles= $ 20 .

Let the cost of each small candle and each large candle be $x and $y respectively.

From first condition, when I can buy the candles,

Cost of 4 smalll candles = $4x

Cost of 2 large candles= $2y

=> $4x + $2y = $14

Reduce the equation, 2x + y = 7 ---(1) ( since, divided by 2)

In case Second, when my friend buy the candles,

Cost of 5 small candles= $5x

Cost og 3 large candles= $ 3x

=> $5x + $3y = $20 or 5x + 3y = 20 --(2)

Now, equation (1) and (2) made a system of linear equations. Linear equations are in two variables x and y . To solve the system of linear equation, we can use Elimination Method,

To make the same cofficient of y variable in both equtions, multiply the equation (1) by 3

=> 3(2x + y ) = 3× 7

=> 6x + 3y = 21 --(3)

Subtracts the eqution (2) from (3) to eliminate y,

=> 6x + 3y - ( 5x + 3y) = 21 - 20

=> 6x + 3y - 5x - 3y = 21 - 20

=> x = 1

from (1) , 2x + y = 7 => 2×1 + y = 7

=> y = 5

Hence, the cost of one small candle and one large candle are $1 and $5.

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The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. This can be done by cutting the pancake into 4 pieces, then the 4 pieces into 4, and the resulting 16 pieces into 2.

The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. To do this, start by making one straight cut to divide the pancake into two equal pieces. Then make two more cuts, spaced evenly around the circumference, to divide the pancake into 4 equal pieces. Next, make two more cuts, spaced evenly around the circumference, to divide the 4 pieces into 4 even smaller pieces. Finally, make one last cut, spaced evenly around the circumference, to divide the 16 pieces into 2 equal pieces, giving you a total of 16 pieces. With this method, you can divide a flat pancake into 16 pieces with just 5 straight cuts.

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Answer:

10/32

Step-by-step explanation:

10+8+14 = all dishes = 32

10 = how many plates

In a ratio: 10/32

In step 2. the addition property of equality was applied.

In step 2. the subtraction property of equality was applied.

We have solved the equation x/4 + 5 = 23.

In step second we subtract 5 on both side, this is the property of equality of addition.

In step 3 the expression is x/4 = 23

In step 4 we multiply 4 on both side, again using the property of equality of subtraction.

Now the value of x is 72.

Hence, using the property of equality in step 2 and 4 we solve the equation.

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The complete question is given below:

Answer:

100° and 40°

Step-by-step explanation:

In an isosceles, 2 interior angles are equal.

If one angle is 40°, another one of its angles must be also 40°.

Fact of a triangle

Sum of interior angles of a triangle is 180°.

Let the unknown angle be x.

x + 40° + 40° = 180°

x + 80° = 180°

x = (180 - 80)°

x = 100°

So, the other angle is 100°

Hence,

100° and 40° are the possible measures for the other two triangles.

The area of figure composing a parallelogram and two semicircles is 399.06 units².

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

The base of the parallelogram is = 18 units

The height of the parallelogram is = 11 units

The area of a parallelogram is given as -

Area = Base × Height

Area = 18 × 11

Area = 198 units²

The diameter of the semicircle is = 16 units

The radius of semicircle is = 8 units

The area of the semicircle is given as -

Area = (1/2)πr²

Area = (1/2)π(8)²

Area = (1/2)π × 64

Area = 32π units²

The total area of the figure is given as -

Total Area = Area of Parallelogram + 2 (Area of semi-circle)

Total Area = 198 + 2(32)π

Total Area = 198 + 64π

Total Area = 198 + 201.06

Total Area = 399.06 units²

Therefore, the area of the figure is 399.06 units².

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I think this is it if not I'm sorry

78264 in

In order to leave an equal space between shelves, the distance between each shelf should be 9 feet 10 inches.

1. The floor-to-ceiling clearance is 9 feet 10 inches.

2. Each shelf is 10 inches thick.

3. To leave an equal space between shelves, the distance between each shelf should be the same as the floor-to-ceiling clearance, which is 9 feet 10 inches.

In order to ensure that there is an equal space between each of the shelves, the distance between each shelf should be 9 feet 10 inches. This is because the floor-to-ceiling clearance is 9 feet 10 inches, and the thickness of each shelf is 10 inches.

Therefore, in order to have an equal space between shelves, the total distance between each shelf should be 9 feet 10 inches. This is the best way to ensure that each shelf is equally spaced from the next.

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Answer:

greetings

27p+6r, is an expression which is equivalent to 3 (9p+2r).

The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer; ....-2, -1, 0, 1, 2, .....

Given the expression, 33+x

Now positive integers are whole numbers ( 1,2,3,...)

To 33/x be the whole number and x is also a positive integer.

33/1 = 33 (1,3 Positive integer)

33/3 = 11 (3,11 Positive integer)

33/11 = 3 (11,3 Positive integer)

33/33 = 1 (33,1 Positive integer)

Hence "The possible values of x such that 33+x remains a positive integer in ascending order are 1,3,11 and 33".

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Percent of the total amount a per the given list price, documentation fee , registration fee and other payment paid by Charles is given by :

Option c. 16.70%

Cost of his old 2004 Dodge Neon = $6591

Sales tax = 6.88%

Dealer gives 80% trade in price on hos car

After tax selling price of the car

= 6,591 × (80/100) × [ 1 - (6.88/100) ]

= $4910.03

= $4,910

Vehicle registration amount = $1,089

List price of car = $21,450

Documentation fee = $124

Total cost of the car

= $21,450 + $1,089 + $124

= $22,663

Net amount Charles needs to pay

= $22,663 - $4,910

= $17,753

Monthly payment at the rate of 12.28% compounded monthly for 3 years

= 17753 [ 12.28%( 1+ 12.28%)^3 / [( 1+ 12.28%)^3 -1 ]

= $592

Total amount paid by Charles

= $592 × 36

= $21,312

Total interest paid by Charles

= $21,312 - $17,753

= $3,559

Percent of the total amount

= ( $3,559 / $21,312 ) × 100

= 16.699%

= 16.70%

Therefore, the percent of the total amount paid by Charles is equal to Option c. 16.70%.

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The correct sentence to describe in the parent function is,

⇒ Shifted up.

⇒ Horizontal stretch

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The function is,

⇒ f (x) = x

Here, The graph of the parent function of f (x) = x is shown in figure.

Hence, We get;

The correct sentence to describe in the parent function is,

⇒ Shifted up.

⇒ Horizontal stretch

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Answer:

I think 5

Step-by-step explanation:

There are two possible options for points and distances:

In this problem we need to determine the location of point M and distances between points A, M and B. This can be done by means of differences on number line and algebraic equations:

M - A = x² - x

M - (- 14) = x² - x

M + 14 = x² - x

M = x² - x - 14

B - M = 5 · x + 4

35 - M = 5 · x + 4

M = 31 - 5 · x

Then, we eliminate M and find the solutions to the resulting quadratic equation:

x² - x - 14 = 31 - 5 · x

x² + 4 · x - 45 = 0

(x + 9) · (x - 5) = 0

x = - 9 or x = 5

Finally, we determine the possible values for M based on the fact that M is between - 14 and 35:

x = - 9

M = 31 - 5 · x

M = 31 - 5 · (- 9)

M = 31 - 45

M = - 14

AM = - 14 - 14

AM = 0

MB = 35 - (- 14)

MB = 49

x = 5

M = 31 - 5 · x

M = 31 - 5 · 5

M = 31 - 25

M = 6

AM = 6 - (- 14)

AM = 20

MB = 35 - 6

MB = 29

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Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

If Chris takes the 2:20 train, then he will get to willow lake at 2:28.

If Chris takes the 2:20 train, then we have to find at what time he will get to willow lake.

The distance from where Chris lives to willow lake is 48 miles.

Chris will take the train to willow lake. The train goes 60 miles an hour.

The distance = 48 miles

The speed of train = 60 miles an hour

Time = distance/speed

Time = 48/60

Time = 0.8 minutes

The train reach after 8 minutes in willow lake.

So the train reach 2:28.

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The graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=|x+4|.

Graph the absolute value using the vertex and a few selected points.

Plot the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2)

Therefore, the graph for the points (-6, 2), (-5, 1), (-4, 0), (-3, 1) and (-2, 2) is plotted as below.

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A possible inequality to represent the amount Payton spent is x >15, and two examples of the possible amount of money Payton spent are $30 and $6.

This is a mathematical expression that represents a situation using symbols such as ≥ (greater or equal to) or < (less than).

A possible inequality is  15 >x or 15 <x, which means the amount of money spent was less than or more than 15.

Some possible values within this range are:

$10

$2

$6

$30

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Answer: In a right triangle, the length of the hypotenuse is the square root of the sum of the squares of the other two legs. So, using the Pythagorean theorem, the other leg would be the square root of (21^2 - 15^2) = (441 - 225) = 216 = 14.69 inches.

Step-by-step explanation:

Answer: -3 AND 7

Step-by-step explanation: very important to include the and, as it that point could be to the right or left of (3,1)

Answer:

b = 13

Step-by-step explanation:

21 = b + 8   Subtract 8 from both sides

21 - 8 = b + 8 - 8

13 = b

Answer: 13

Step-by-step explanation:

He bought two books for $21, and one of the books was $8. With this, we know that if we subtract 8 from 21, we can get "b", or the cost of the other book

21 = b + 8

-8        -8

13 = b

b = 13

Therefore, b = 13, or $13 for the other obok

The required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.

The interval of angle is given as 0° ≤ x ≤ 360°.

The value of x for which tan x is given as, tan x = - 0. 6745.

We have tan negative in two of the four axes, they are second (90° - 180°) and fourth quadrants (270° - 360°).

So, tan x = - 0. 6745

x = tan⁻¹ (- 0. 6745) = -33.9

As periodicity of tan x is 180°, x = 180-33.9 = 146.1°

x = 360-33.9 = 326.1°

Thus, the required values of x in the interval 0° ≤ x ≤ 360° are 146.1° and 326.1°, when the value of tan x is given.

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