Alex has 84 quarters and nickels worth a total of $17.80.

Which equation can be used to find q, the number of quarters Alex has?

Answers

Answer 1

The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.

Quarters and nickels

Total coins = 84Total value = $17.80

let

Number of quarters = qNumber of nickels = n

n + q = 84

0.05n + 0.25q = 17.80

From equation (1)

n = 84 - q

Substitute into (2)

0.05n + 0.25q = 17.80

0.05(84 - q) + 0.25q = 17.80

4.2 - 0.05q + 0.25q = 17.80

- 0.05q + 0.25q = 17.80 - 4.2

0.20q = 13.60

q = 13.60 / 0.20

q = 68

Substitute q = 68 into

n + q = 84

n + 68 = 84

n = 84 - 68

n = 16

Therefore, the number of quarters and nickels are 68 and 16 respectively.

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Related Questions

Which pairs of expressions below are equivalent? A9m+4m13m2 B2(3m−4n)6m−4n C7(2m−3n)14m−21n D5m+5n+5m+5n5(m+n)

Answers

Answer:

7(2m−3n)14m−21n

Step-by-step explanation:

The following pairs are equivalent

7(2m - 3n)

14m - 21n

If you solve 7(2m - 3n)

So

7(2m) - 7(3n)

14m - 21n

So according to the given options, the option c is correct as this pairs is to be considered as equivalent

the sum of two consecutive numbers divided by their positive difference difference is equal to nine find the larger number​

Answers

Answer:

the number is 5

Step-by-step explanation:

the difference between any two consecutive numbers is just 1.

so, x + x+1 = 9

x = 4

the next number is 5

pls mark brainliest

A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?

Answers

Answer:

About 6.7%

Step-by-step explanation:

Answer this question and you get brainiest? Also 85 points so answer it correctly and it’s all yours btw i put the picture up so you can answer it . Thanks

Answers

Answer:

114

Step-by-step explanation:

those angles are supplementary meaning that they will add up to 180. 180-66=114 so x=114

2/3 times 3/4 I need an sender

Answers

Answer:

6/12 but to simplify it would be 1/2

Answer:

[tex]\frac{2}{3} *\frac{3}{4}[/tex]       = 1/2

Step-by-step explanation:

2/3 * 3/4

6/12=1/2

A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine after the discount and sales tax?
A.$111.20
B.$118.71
C.$29.68

Answers

Answer:

About $118.70

Step-by-step explanation:

139 x .2 = 27.8

139 - 27.8 = 111.2

111.2 x .0675 = 7.5

111.2 + 7.5 = 118.7

118.7 = $118.70

Which expressions are equivalent to 56x + 24 divided by 8?


A.7x + 24


B.56x + 24

8


C. 8(24 + 56x)


D.3x + 7


F.3 + 7x

Answers

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (56x + 24) / 8

Simplify the expression, then we have

⇒ (56x + 24) / 8

⇒ (56/8)x + 24/8

⇒ 7x + 3

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

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An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given the following expression:

56x + 24

It is required to divide the given expression by 8,

Thus, dividing the expression by 8 as follows:

[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]

Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.

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A farmer has a house that sits at the edge of a field, with all sides meeting at right
angles.
The field has the following measurements.
40 m
100 m
The farmer wants to know how much fencing he will need to surround the field.
Calculate the total length of fencing.

Answers

Step-by-step explanation:

total length = l×b therefore 40m×100m=400m

need help with this question

Answers

Answer:

bc=-4

Step-by-step explanation:

4x -1 is -4. because your adding a negative and a positive

Answer:

-4

Step-by-step explanation:

thats the answer

ANSWER FOR BRAINIEST

Answers

THE ANSWER IS: y=3/2x+1

to find a line that is perpendicular, invert the slope and multiply by -1
so the original slope is -2/3,
invert it to get -3/2 then multiply by -1 to get 3/2

put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)

rewrite in standard form to get y=3/2x+1

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe

Answers

The students would not have enough clay to finish the project because you multiply 4/5 by 10 you get 40/5 and then you can make 8 pounds of clay but then 3 students come in and you would need to have 2 2/5 and then you would get 10 2/5 and you wouldn’t have enough clay for the project

I don't remember how to do this

Answers

Answer:

b i think?

Step-by-step explanation:

How many degrees of rotational symmetry does the flower have

Answers

Answer:

It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.

Step-by-step explanation:

determine if JK and LM are parallel, perpendicular,or neither . HELP AND PLS SHOW WORK !!

Answers

Answer:

1) not parallel

2)not parallel

Step-by-step explanation:

fist one intersect already

and second one will eventually intersect

Answer:

1 - Perpendicular.

2 - Neither.

Step-by-step explanation:

Use the slop formula to find the slope of the two sides.

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]JK = \frac{4-9}{7-1} = \frac{-5}{6}[/tex]

[tex]LM = \frac{1-13}{-2-8} = \frac{-12}{-10} = \frac{6}{5}[/tex]

Perpendicular - because a line that is perpendicular to another must have a slope that is the negative reciprocal of the first line.

[tex]JK = \frac{6-(-5)}{2-13} = \frac{11}{-11} = 1[/tex]

[tex]LM = \frac{-2-(-5)}{-4-(-1)} = \frac{3}{-3} = -1[/tex]

Not Parallel. Nor perpendicular.

What is 3 3/4 - 2 1/3

Answers

Answer:

1 5/12

Step-by-step explanation:

decimal form, 1.416

Answer:

3 1/4 + 2 1/3 = 67/

12

= 5 7/

12

≅ 5.5833333

Step-by-step explanation:

What errors did her coach make in the following example

Answers

Answer:

its the last one & the 3rd one.

hope that helps

Rewrite as a simplified fraction.

0.6 i need it quick plz and thank you

Answers

Answer:

3/5

Step-by-step explanation:

0.6 = 6/10 = 3/5

3/5 is the correct answer

Help me simplify this dividing Radicals!!!

Also I didn’t mean to click the last one

Answers

Answer:

ok muchas gracias por tus puntos

Answer:THE SECOUND ONE

Step-by-step explanation:

PLZ IT RIGHTS

1/4 to 1/2

Find a percent of change, round to the nearest 10th of a percent if necessary.

__% of increase or decrease (ANSWER ASAP)

Answers

Given:

[tex]\dfrac{1}{4}\text{ to }\dfrac{1}{2}[/tex]

To find:

The percent of change, round to the nearest 10th of a percent.

Solution:

We have,

Initial value = [tex]\dfrac{1}{4}[/tex]

New value = [tex]\dfrac{1}{2}[/tex]

We know that, the percentage change is

[tex]\%\text{ change}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]

Putting the given values, we get

[tex]\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{2-1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=1\times 100[/tex]

[tex]\%\text{ change}=100\%[/tex]

Here, the % change is positive, it represents the percent increase.

Therefore, the percent of change is 100% of increase.

In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equation h=-16t²+55t+50, where h is the height of the bird t and is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40 feet in the air for the first time?

Answers

9514 1404 393

Answer:

  3.61 seconds

Step-by-step explanation:

The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.

We want to solve h = 40.

  40 = -16t^2 +55t +50

  16t^2 -55t -10 = 0

  t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060

The bird will be 40 ft above the ground the first time after about 3.61 seconds.

help!!! pleaseeee i will answer ur questions

Answers

1. ASA

2. HL

3. Not congruent

Answer:

1.) ASA2.) HL3.) NOT CONGURENT

Sorry um but help pleasee

Answers

Answer:

For the first one the answer is the 2nd and 3rd one

Step-by-step explanation:

the 2nd one is the 2nd and 3rd one

make brainliest please

I hope i am rigth

plsss help if u can 6th grade math

Answers

Answer:

The minimum: 3

The lower Q: 7

The median: 7

The upper Q: 6

Maximum: 11

Step-by-step explanation:

What is the radius of a circle with the circumference 81.64

Answers

Answer:r≈12.99

Step-by-step explanation:

We can use the formula of the circumference of the circle. Which is given by:

Circumference = 2 \pi r

where "r" represents radius of the circle and , pi = 3.14

Plug the given values

81.64 = 2* 3.14* r

81.64 = 6.28 r

A piece of machinery was purchased by a factory. It depreciates at 10percent every year. At the end of second year its value is rs 1,29,600.What is the cost price​

Answers

Answer:

160000

Step-by-step explanation:

Let the cost price = x

At the end of the first price, it loses ten percent = 0.9x

At the end of the second year, it loses an extra ten = 0.9(0.9x)= 0.81x

0.81x=129600

x=160000


The local grocery store sets a bag of dog food for $22. The store pays $13 for the dog food. Which oquation can be used to find the markup on the dog food? Options: A. X+9=13 B. X+13=22 c. X-9=22 d. X-22=13

Answers

Answer: The answer is b

Step-by-step explanation:

For which equation is 3 a solution(I need help)

Answers

Answer:

B

Step-by-step explanation:

I did it on paper

After substituting, what is the first step when evaluating (4y+9)/7 when Y = 8
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
A. Add 4 and 9.
B. Multiply 8 by 4.
C. Divide 9 by 7.
D. Divide 4 by 7.
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*​

Answers

Answer:

B. Multiply 8 by 4 is the answer

86, 82, 78, 74 , what is the 40th term

Answers

Answer:

Step-by-step explanation:

its subtracting 4 each time

HELPP PLSSSS Im failing school :(

Answers

Answer:

D.540

if im wrong sorry

Step-by-step explanation:

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