a student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $53. How many of each type of bill does he have

Answers

Answer 1

Answer:

$1 bills = x and $5 bills = y

x+y = 17 - that expresses the number of bills.

1x + 5y = 53.

Solve the first for x in terms of y and substitute that into the second.

x = 17 - y

17 - y + 5y =53

17 +4y = 53

4y = 36

y = 9

Substitute that back into the first equation: x + 9 = 17 and then x = 8


Related Questions

what is the volume of the rectangular prism? ​

what is the volume of the rectangular prism?

Answers

Answer:

15

Step-by-step explanation:

i did maths

HW Slide 2
Which angle relationship is the only one that is supplementary?
If Angles 1 and 4 are alternate exterior and m<1-85. What is the
measure of angle 4?
If Angles 1 and 5 are consecutive interior and m<1-43 what is the
measure of angle 5?

HW Slide 2Which angle relationship is the only one that is supplementary?If Angles 1 and 4 are alternate

Answers

The angle relationships that is supplementary is angle 1 and angle 5.

What are supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees.

In other words, supplementary angles refer to the pair of angles that always sum up to 180°.

Alternate exterior angles are congruent to each other.

Therefore, ∠1 and ∠4 are not supplementary angles.

Hence,

m∠4 =m∠1

m∠4 = 85°

Consecutive interior angles are supplementary. That is they sum up to 180 degrees.

m∠1 = 43°

m∠5 = 180 - 43

m∠5 = 137°

Therefore, ∠1 and ∠5 are supplementary angles.

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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-

Which of the following could be an example of a function with a domain(-0,00) and a range (-,4)? Check

Answers

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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A salesperson at a jewelry store earns ​6% commission each week. Last​ week, jarrod sold $680 worth of jewelry. How much did make in​ commission? How much did the jewelry store make from ​sales?

Answers

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Mr. Yellowstone can eat 24 hotdogs in
72 minutes. How long would it take
him to eat 36 hotdogs?

HELP PLSSS

Answers

Answer:

108

Step-by-step explanation:

i think that's the answer not sure

Help please I truly appreciate it

Help please I truly appreciate it

Answers

Answer:

-12

Explanation:

2x + 8y

x = -7 and y = -1/4

plug in values of x and y

2(-7) + 8(-1/4)

multiply 2 and -7

-14 + 8(1/4)

multiply 8 and 1/4

-14 + 2

add

=-12

Answer:

2(-7)=8(1/4)

-14+8x1/4

-14+8/4

-14+2

-12

Step-by-step explanation:

What is the difference?
A:-6-(11)
B:0-17
C:05
D:0 17

What is the difference?A:-6-(11) B:0-17C:05D:0 17

Answers

Answer:

-17 :)

hope this is helpful

<3

Solve the following pair of equations for the vectors u and v. Assume i = (1,0) and j = (0;1).

Answers

the solution to the pair of equations is u = (1,1) and v = (1,0).

u + 3v = (2,1)

3u + v = (3,2)

u = (1,1) and v = (1,0)

The first equation can be written as:

u + 3v = (2,1)

We can rewrite this equation as:

u + 3(1,0) = (2,1)

By substituting the values of i and j, we can solve for u:

u + (3,0) = (2,1)

u = (2-3,1) = (-1,1)

Now, we can substitute the value of u in the second equation:

(1,1) + v = (3,2)

By subtracting (11) on both sides, we can solve for v:

v = (3-1,2-1) = (2,1)

Therefore, the solution to the pair of equations is u = (1,1) and v = (1,0).

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Need help please.i grant brainliest!

Need help please.i grant brainliest!

Answers

Answer:

x = 42 and y = 92

Step-by-step explanation:

Since there are parallel lines, then

x = 42 ( Alternate angles )

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

134° is an external angle to the triangle, thus

x + y = 134 , that is

42 + y = 134 ( subtract 42 from both sides )

y = 92

----------------------------------------------------

(b)

The sum of the interior angles of a polygon are

sum = 180° (n - 2) ← n is the number of sides

Here n = 7, thus

sum = 180° × 5 = 900°

Solve the system of equations using elimination. 2x 3y = −8 3x y = 2 (−4, 0) (2, −4) (5, −6) (8, −8)

Answers

Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.

The given system of equations is:

2x + 3y = −8   ....(i)

3x + y = 2 ----(ii)

To solve this system by using the elimination method,

Multiply 3 both sides in equation (ii) we get,

9x + 3y = 6  ....(iii)

Subtract (iii) from (i) we get,

2x + 3y - (9x + 3y ) = -8 -6

-7x = -14

Dividing both  sides by -7 we get,

x = 2

Put the value of x into equation (ii),

6 + y = 2

y = -4

Hence,

The solution of the system is \((2, -4)\) which is option B.

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The complete question is:

Solve the system of equations using elimination.

2x + 3y = −8

3x - y = 2

A. (−4, 0)

B. (2, −4)

C. (5, −6)

D. (8, −8)

Answer:

(2, −4)

Step-by-step explanation:

took the test xx

Make y the subject of the formula
w= x² – 2yz
Choose the correct answer.
W-x?
- W
Ay= 2z
B
c y= x-
2z
x? – W
Dy=
2z
E y = W + 22
2

Make y the subject of the formulaw= x 2yzChoose the correct answer.W-x?- WAy= 2zBc y= x-2zx? WDy=2zE

Answers

Answer:

D. \( y = \frac{ {x}^{2} - w }{2z} \)

Step-by-step explanation:

\(w = {x}^{2} - 2yz \\ \\ 2yz = {x}^{2} - w \\ \\ \huge \red{ y = \frac{ {x}^{2} - w }{2z} }\)

If abcd is a parallelogram what is the length of bd

If abcd is a parallelogram what is the length of bd

Answers

Answer:

BD = 10

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

This means that BD = 2BE, or BD = 2 * 5

the square on the right is a scaled copy of the square on the left identify the scale factor

the square on the right is a scaled copy of the square on the left identify the scale factor

Answers

1.5

39/2 = 19.5

19.5/13 = 1.5

What happened to the owl who swallowed a watch

What happened to the owl who swallowed a watch

Answers

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?

Answers

Answer:
42 kilometers

2 Points
Evaluate 3(4 - 2)2
A. 36
B. 12
C. 108
D. 100

Answers

Answer:

12

Step-by-step explanation:

3(4 - 2)^2

PEMDAS

P arentheses = (4-2) = 2

3(2)^2

E xponents = 2^2 = 4

3 * 4

M ultiply

12

Describe what is meant by the slope of a non-vertical line. Explain how your description relates to the definition of slope.

Answers

Answer:  A verticle line does not have a slope.

Step-by-step explanation:  Slope is the rate of change of y for each change in x.  y = 2x is a line with slope of 2.  Each time x is incremented by 1, y will increase by twice (2x) that amount.  There is no slope to a verticle line, unless you want to call it infinite.  The value of y is not defined by x.

Complete this item. Do not multiply factors (i.e. (a - b)(a + 2b)).

Simplify:

2y2 - 7y -15 9y2 - 1 y2 + 3y-10

3y2 - 8y-3 472-92y2 - 9y+ 9

Answers

Answer:

i have no idea if this is right tbh i got it off another site- sorry its so late bro. maybe itll help other ppl

Step-by-step explanation:

[(2y + 3)(y - 5)]/[(3y + 1)(y - 3)][(3y - 1)(3y + 1)]/[(2y - 3)(2y + 3)[(2y - 3)(y - 3)/[(y - 2)(y + 5)] =

[(y - 5)(3y - 1)]/[(y - 2)(y + 5)]

The simplification of the [(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9) will be (4y² - 13y - 5)/[(y - 3)(2y - 3)].

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

[(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9)

⇒ [(2y - 3)(y - 5)]/[(3y + 1)(y - 3) x [(3y - 1)(3y + 1)/[(2y + 3)(2y - 3)] + [(y + 2)(y + 5)\/[(2y - 3)(y - 3)]

⇒ [ (2y - 3)(y - 5) + (y - 2)(y + 5)]/(2y - 3)(y - 3)

⇒ (4y² - 13y - 5)/[(y - 3)(2y - 3)]

Hence "The simplification of the [(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9) will be (4y² - 13y - 5)/[(y - 3)(2y - 3)]".

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Are the given lines parallel? How do you know?

Y=0, x=1

And

X=-2, x=5

Answers

Answer:

those aren't limes, they're points.

Step-by-step explanation:

yeah-ya.......... right?

You want to compare 3 treatments using a one-way fixed effects model. In designing your experiment you decide you want at least 80% power (at the 5% significance level) if the treatment means were as different as 100 - ∆, 100, and 100 + ∆. Suppose that ∆ = 5 and σ 2 = 10. How large must n be?

Answers

For comparing three treatments using a one-way fixed effects model, the required sample size (n) is 2.5088

we need to consider the desired power level, significance level, effect size (∆), and the variance (σ²). In this scenario, we want at least 80% power at the 5% significance level, with treatment means that differ by 100 - ∆, 100, and 100 + ∆, where ∆ = 5. The variance is given as σ² = 10.

To calculate the sample size, we can use power analysis based on the F-test. The formula for sample size in this case is:

n = 2 * [(Zα/2 + Zβ)² * σ²] / ∆²

where Zα/2 is the critical value for the desired significance level (5% or 0.05), and Zβ is the critical value for the desired power level (80% or 0.80).

Plugging in the values, we get:

n = 2 * [(1.96 + 0.84)² * 10] / 5²

n = 2 * [(2.80)² * 10] / 25

n = 2 * 7.84 * 10 / 25

n = 6.272 * 10 / 25

n = 2.5088

Rounding up to the nearest whole number, the required sample size (n) is 3.

Therefore, the sample size must be at least 3 in order to achieve at least 80% power at the 5% significance level for comparing the three treatments using a one-way fixed effects model.

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1.
Use the graph.
a. Which plant was the tallest at the beginning?
b. Which plant had the greatest rate of change over the 6 weeks?


A. plant 3; plant 3


B. plant 1; plant 3


C. plant 2; plant 2


D. plant 3; plant 1

1.Use the graph.a. Which plant was the tallest at the beginning?b. Which plant had the greatest rate

Answers

Answer:

A. plant 3; plant 3

Step-by-step explanation:

Plant 3 was the tallest at the beginning. We know this because it is the plant with the highest recorded height at time = 0.

Plant 1 grew 3.5 inches over 6 weeks.

Plant 2 grew ~ 2.25 inches over 6 weeks.

Plant 3 grew 4 inches over 6 weeks.

> This means that plant 3 grew the most, or had the greatest rate of change, over the 6 weeks.

the expected value of an unbiased estimator is equal to the parameter whose value is being estimated. true/false

Answers

The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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What is an equation in point-slope form of the line that passes through (1,-6) and (4,6)
A. y+1=4(x-6)
B. y-1=4(x+6)
C. y+6=4(x-1)
D. y-6=4(x+1)

Answers

Answer:

y + 6 = 4 times ( x - 1 )

Step-by-step explanation:

hope this helps

You are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. North wales, pa 19454 3 lorenzo price 8621 glendale dr. Burlington, ma 01803 4 stella moss 372 w. Addison street brandon, fl 33510 5 paul casey 9069 e. Brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from brandon, fl, what is the correct function?

Answers

The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)

How to Interpret Data Cleaning Analysis?

Data cleaning is defined as the process of fixing or removing data that are incorrect,  incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.

Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.

Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.

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You are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart

A landscaper waters a lawn during the summer.
He wants to know how much water is being used
per minute. He records the amount of water used
in the table.
PLEASE NO LINK.

A landscaper waters a lawn during the summer.He wants to know how much water is being usedper minute.

Answers

Answer:

Step-by-step explanation:

D bc yes

Make r the subject of the formula t= r/r-3

Answers

Answer:

r = 3t/t-1

Step-by-step explanation:

t = r/r-3

1. times both sides by r-3

t(r-3) = r

= tr - 3t = r

2. add 3t to both sides

tr = 3t + r

3. minus r

tr - r = 3t

4. factorise out r

r(t-1)=3t

5. divide by t-1

r = 3t/t-1

rectangle has a perimeter of 64.8 millimeters and a base of 15.8 millimeters. What is the height?

Answers

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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Which is the best reason why 2/5 is the exact quotient for 1/4÷ 5/8 ?

Answers

Answer:

2/5.

Step-by-step explanation:

1/4 / 5/8

= 1/4 * 8/5

= 1*8 / 4*5

= 8/20

= 2/5.

what is the slope of the line that goes through the points (-1 4) and (14 -2)?

Answers

Answer:

Slope is -0.4 or 2/5

Step-by-step explanation:

x , y   x^2,y^2

(-1,4)   (14,-2)

y^2-y^1/x^2-x^1

-2-4/14-(-1)

-6/15

=-2/5 or -0.4.

Hope this helps. If right pls give me brainliest thank you.

Answer:

it is -2/5

Step-by-step explanation:

A trio of beetles have found a home in a family's garbage can while the family is on vacation for two weeks. Each day, the number of beetles in the garbage
can quadruples. How many beetles will be in the garbage can when the family returns from vacation?
Find the initial value
Find the multiplier
Write an equation for this situation
Answer the question with the correct units.

Answers

Answer:

initial value = 3  

 multiplier =4  

     # after 14 days = 3 * 4^(14-1)

        201 326592 beeltes      

Step-by-step explanation:

14 days     day 1 = 3 beetles

start with 3     quadruple it  = 12

3 *4   on day 2

3 *4 *4    on day 3

.

.

.

3 * 4^(14-1)     = beetles on day 14   = a lot of beetles = 201 326 592   !

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