Brandon has four more than 3 times the amount of money that Dale has. Together they have $44. What equation represents this? How much money does Dale have? How much money does Brandon have?

Answers

Answer 1

Answer:

Equation: 4 + 3n. Dale's Money: $7.3¢ Brandon's money: $25.9¢

Step-by-step explanation:

Equation

Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.

Dale's Money

Given: $44 in total

44 ÷ 2 (To know how much they have  equally)

22

22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)

7.3

Therefore, Dale has $7.3¢

Brandon's money

Given: 4 + 3n. Dale has 7.3

Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)

21.9 (Then add four because Brandon has four more...)

25.9

Therefore, Brandon has $25.9¢

Answer 2

The amount that Brandon and Dale have is $34 and $10, respectively.

What is an equation?

An equation is formed when two expressions are equated with each other with the help of an equal sign.

Let the amount of money that Brandon has be x, and Dale has be y.

As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is

[tex]x + y = \$44[/tex]

Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,

[tex]x = 4 + 3y[/tex]

Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,

[tex]x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10[/tex]

Now, substitute the value of y in the second equation we get,

[tex]x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34[/tex]

Hence, The amount that Brandon and Dale have is $34 and $10, respectively.

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Use the information in the figure to determine the height of the pole.

Answers

(x + 5)^2 + (x/2 + 6)^2 = (30)^2

Take it from here.

Answer:

pole height = 29 ft

Step-by-step explanation:

x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36

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Step-by-step explanation:

Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

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Find the area of the composite figure

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Step-by-step explanation:

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for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA

Answers

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

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If f(x) = 2x+3 and g(x) = x^2 + 1, find f(g(3)).

Answers

Answer:

23

Step-by-step explanation:

g(3) = 3²+1 = 10

f(g(3)) = 2(10) + 3

= 23

Sin 17° cos 13° + cos 17° sin 13°​

Answers

Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the hammers in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places

Answers

Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a [tex]Pr = \frac{2}{110}[/tex]

b [tex]Pr = \frac{72}{110}[/tex]

Step-by-step explanation:

Given

[tex]n = 11[/tex] --- hammers

[tex]r = 2[/tex] --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

[tex]Pr = P(D) * P(D)[/tex]

[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]

[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]

[tex]Pr = \frac{2}{110}[/tex]

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

[tex]P(D') = \frac{9}{11}[/tex]

For two selections, the probability that all are not defective is:

[tex]Pr = P(D') * P(D')[/tex]

[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]

[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]

[tex]Pr = \frac{72}{110}[/tex]

Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles

Answers

Answer:

20 Edges

Step-by-step explanation:

As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.

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Answers

Answer:

C. 40 + (-58) + 160

Step-by-step explanation:

It would be easier with C., the other options are already easy to calculate

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If the outside diameter of a pipe is 1.275 feet and the inside diameter is 0.975 feet how thick is the pipe

Answers

Answer:

2.250 feet thick

Step-by-step explanation:

hope it helps mark as brainliest

Answer:

Step-by-step explanation:

The outside diameter minus the inside diameter would leave a difference of TWICE the thickness of the pipe, so divide the difference by 2

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Answer:

2.7

Step-by-step explanation:

the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.  

Find the area of the shaded region

Answers

Answer:

A = 35cm^2

Hope this helps :)

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Which inequality represents the number of hours Samantha would have to babysit in order to have enough money to buy the MP3 player?

A youth group takes a bus to the movie theater. The cost of a drink is $2.25, the cost of popcorn is $3.45, and the cost of a ticket is $7.00. Each student gets a ticket, a drink, and popcorn. The bus rental costs $100.

If the total cost of the trip is $252.40, how many people went?

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Based on the distribution of data, which observation is correct?


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The mean number of stickers is about 1.3 times the mean number of badges.

The mean number of stickers is about 0.78 times the mean number of badges.

The mean number of stickers is about 0.78 times the mean number of badges.

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The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.

The median number of badges is greater than the median number of stickers because the tallest column is farther right.

The median number of badges is greater than the median number of stickers because the tallest column is farther right.

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Answer:

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Step-by-step explanation:

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The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier

Answers

Answer:

0.00621

Step-by-step explanation:

We solve the above question using the

Z score formula. This is given as:

z = (x-μ)/σ/√n

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x is the raw score = 12.20 or earlier

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σ is the population standard deviation = 2

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z = -1/2/5

z = -1/0.4

z = -2.5

Probability value from Z-Table:

P(x≤ 12.2) = 0.0062097

Approximately = 0.00621

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The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved

Answers

Answer:

the steady-state percentage of residents who are uninvolved is 0.5

Step-by-step explanation:

 Given the data in the question;

let N represent total number of people in the dormitory

I represent  people involved in a relationship

and U represent people uninvolved in a relationship.

so

N = I + U

I = N - U ------ let this be equation 1

Rate of Uninvolved = U/N

now, given that rate of break ups B = 15% every month = 0.15

rate of entering into relationship  R = 15% every month = 0.15

Now, the steady state condition is;

RU = BI ------- let this be equation 2

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we input equation 1 into 2;

RU = B( N - U  )

we divide both sides by N

RU/N = B( N/N - U/N  )

RU/N = B( 1 - U/N  )

U/N = B / (B + R)

so we substitute

U/N = 0.15 / (0.15 + 0.15)

U/N = 0.15 / 0.3

U/N = 0.5

Therefore, the steady-state percentage of residents who are uninvolved is 0.5

HELP! WILL GIVE BRANLIEST!!

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Answer:this is quite hard as i cant see the cone but the one you have may be the answer i am not sure of this beacuse i cannot see the cone shape.

Step-by-step explanation:

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Answer:

32 yd²

Step-by-step explanation:

because 8 • 4 is 32 so it's 32 yd²

Answer:

A = 32 yds^2

Step-by-step explanation:

We know the formula for the area of a rectangle is

A = lw  where l is the length and w is the width

A = 4 yds * 8 yds

A = 32 yds^2

Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,

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Answer: the fountain is located at point (-1,-0.5)

Step-by-step explanation:

Answer: (-1 , -0.5)

Step-by-step explanation:

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Answer:

I Think 178

Step-by-step explanation:

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the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth​

Answers

Answer:

The perimeter of a rectangle is 36 cm, its breadth is 8 cm

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 36 cm

length (L) = 10 cm

Now,

Perimeter (P) = 2 × (length + breadth)

P = 2 × (l + b)

36 = 2 × (10 + b)

36 = 20 + 2b

2b = 36 - 20

2b = 16

b = 16 ÷ 2

b = 8 cm

Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm

-TheUnknownScientist

Question:-

The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.

Answer:-

Given:-

[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.

[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.

To Find:-

Breadth (B) of a rectangle.

Solution:-

We know,

P = 2(L + B)

So,

36 = 2(10 + B)

36 = 20 + 2B

36 - 20 = 2B

16 = 2B

B = 16/2 = 8 cm.

Breadth (B) of a rectangle is 8 cm. [Answer]

What three-dimensional figure is represented by the net shown below?
A cube
B square pyramid
C rectangular prism
D rectangular pyramid

Answers

Answer:

C

Step-by-step explanation:

The net, if you imagine it folded up, will look like a long box.

Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.

A net of a rectangular prism, however, will have different dimensions for [tex]l[/tex] and [tex]w[/tex], and have 6 faces. So, the answer is C, rectangular prism.

Good luck ^^

The three-dimensional figure represented by the net shown below is a rectangular prism.

Option C is the correct answer.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

From the figure,

We see that it is an open rectangular prism.

All the open sides are rectangular in shape.

If we fold all the sides it will form a rectangular prism.

Thus,

The three-dimensional figure represented by the net shown below is a rectangular prism.

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what is vaule of y when x=4'5

Answers

Answer:

[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

[tex]x = \frac{4}{5}[/tex]

Required

Find y

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

Substitute [tex]x = \frac{4}{5}[/tex]

[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]

[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]

Collect like terms

[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]

[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]

Split the surd

[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]

Rationalize

[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]

Take LCM and add

[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]

[tex]y = \frac{2\sqrt5+6}{5}}[/tex]

or solve as:

[tex]y = \frac{2*2.24+6}{5}}[/tex]

[tex]y = \frac{10.48}{5}[/tex]

[tex]y = 2.096[/tex]

40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.

a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared

Answers

Answer:

a.

Step-by-step explanation:

diameter 7cm

radius 3.5cm

area =πr²

=22/7* 3.5²

=38.47cm²

circumference=πd

=22/7* 7

=22cm

Answer:

a. C = 21.98cm and A = 38.47cm squared

Step-by-step explanation:

Diameter is twice the radius. Therefore radius, r, is 3.5cm.

Circumference = 2πr =2π(3.5)=7π=21.98cm

Area=πr²=π(3.5²)=12.25π=38.47cm²

Which of the following are possible answers you might get when solving a system of equations? Select all that apply


A. One Solution
B. No Solution
C. Infinite Solutions
D. Unique Solutions

Answers

What is this based off of? There is not a picture of the equation or graph for us to know. Also please don’t click on that link posted by someone else, it’s a tracking link.

Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
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Answers

Answer:

B

Step-by-step explanation:

Makes the most since

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