Joel had a coin collection. He had two hundred coins,
which were dimes and quarters. The total value of his
collection was worth $32.
Remember to define your variables.
Create 2 equations
(Each equation should have a "common theme" for
example in this problem one equation will be the the
total number of coins and the other will be the total
value of the coins)
The next step is to solve the problem. Remember to
think of the best method for problem solving

Answers

Answer 1

Answer:

Joel's coin collection had 120 dimes and 80 quarters.

Step-by-step explanation:

Given that Joel had a coin collection of two hundred coins, which were dimes and quarters, and the total value was worth $32, to determine how many coins of each type he had, the following equations must be performed:

0.25 - 0.10 = 0.15

200 x 0.10 = 20

32 - 20 = 12

12 / 0.15 = 80

200 - 80 = 120

(80 x 0.25) + (120 x 0.1) = X

20 + 12 = X

32 = X

Therefore, Joel's coin collection had 120 dimes and 80 quarters.


Related Questions

Identify two equivalent fractions: 1/2​

Answers

Answer:

2/4 3/6 4/8 5/10 6/12 7/14 8/16 9/18 10/20

Step-by-step explanation:

Write an equation that is equivalent to 1/4 plus 1 plus 3/4 minus 2/3 minus 1/2

Answers

Answer:1/4 + 1/4 = 1/2 = 0.5

simplificar y sumar

12 + 7 + 10 =
---- ---- ---

Answers

Answer:

12 + 7 = 19

19 + 10 = 29

answear = 29

12 + 7 = 19 + 10 = 29

total : 29

can u help solve this ​

Answers

Answer and Step-by-step explanation:

The expression is equal to 90.

This is because the lines that cut the right angle are cutting it in half, so those base angles are 45, leaving the center angle to be 90 (90 + 45 + 45 = 180).

90 = 19x + 4.5

85.5 = 19x

x = 4.5

The value of x that makes the parallelogram a square is 4.5.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Estimate the sum or difference 6/10+7/12

Answers

Step-by-step explanation:

in decimal format I got 1.183

the three is repeating

Aisha got a new job and will have to move. Her monthly income will be $5,265. To qualify to rent an apartment, Aisha’s monthly income must be at least three times as much as the rent. What is the highest rent Aisha will qualify for?

Answers

Answer:

$1755

Step-by-step explanation:

A pyramid has a square base. The ratio of the base edge to the height of the pyramid is 2:9. If the base edge is 8 units, what is the volume of the pyramid?

Answers

The ration of the base edge to the height of the pyramid is 1 : 4.5

In this case the base edge is 8 units so the height would be 36 units.

Volume of the pyramid 1/3 * A * H

Multiply those numbers together and you end up with 96 units ^ 3 as the answer.



Hope this helps you in finding the volume of the pyramid!

Consider randomly selecting a student who is among the 12,000 registered for the current semester in a college. Let X be the number of courses the selected student is taking, and suppose that X has the following probability distribution: x 1 2 3 4 5 6 7 f(x) 0.01 0.02 0.12 0.25 0.42 0.16 0.02 a. Find the cdf of X. b. Find the expected number of courses a student is taking this semester. c. Find the variance of X. d. Find the third quartile of this distribution.

Answers

Answer:

a)

[tex]P(X \leq 1) = 0.01[/tex]

[tex]P(X \leq 2) = 0.03[/tex]

[tex]P(X \leq 3) = 0.15[/tex]

[tex]P(X \leq 4) = 0.40[/tex]

[tex]P(X \leq 5) = 0.82[/tex]

[tex]P(X \leq 6) = 0.98[/tex]

[tex]P(X \leq 7) = 1[/tex]

b)

4.61

c) 1.1579

d) 5 is the third quartile of this distribution.

Step-by-step explanation:

We are given the following discrete distribution:

[tex]P(X = 1) = 0.01[/tex]

[tex]P(X = 2) = 0.02[/tex]

[tex]P(X = 3) = 0.12[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.42[/tex]

[tex]P(X = 6) = 0.16[/tex]

[tex]P(X = 7) = 0.02[/tex]

a. Find the cdf of X.

Probability of X being less of equal to x. Than

[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]

[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]

[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]

[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]

[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]

[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]

[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]

b. Find the expected number of courses a student is taking this semester.

Multiplication of every outcome by its probability.

[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]

c. Find the variance of X.

Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So

[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]

d. Find the third quartile of this distribution.

100*(3/4) = 75th percentile

The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.

Solve 3x + 2y = 11 for y

Answers

Answer:

y=-3/2x+5.5

Step-by-step explanation:

Subtract 3x from both sides. You are left with 2y=-3x+11. To isolate the y by itself, divide by 2 on both sides. you are left with y=-3/2x+5.5

Please help! Will mark you. BRAINLY! And will give you more points

Answers

Step-by-step explanation:

the answer is

[tex]y = {x}^{3} [/tex]

Make a sketch of a fourth degree polynomial function with two complex roots and two real roots​

Answers

I cannot really graph it but I will try my best to explain.

When you have a coordinate plane draw from right to left, up to down.

Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots

Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.

This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.

Peter the Leprechaun has 526 gold bars that he arranges evenly into 24 pots. Each gold bar weighs 2.2 pounds. A) How many bars of gold are in each pot?

Answers

Answer: 21

Step-by-step explanation: The amount the gold bar weighs is extra information and is meant to throw you off, 526/24 is 21.9 but because you can’t have a decimal amount of gold bars it’s just 21 in each pot.

answer your looking for is 21.

If Mario drives at a rate of 70 miles per hour, how long will it take him to drive 700 miles?

Answers

Answer:

dam mario u trying get a speeding ticket

bu the answer is 10 if im not mistaken

Step-by-step explanation:

Select the correct answer.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y = 3:2 - 95 + 20
OA neither a relation nor a function
OB. both a relation and a function
OC function only
OD. relation only

Answers

Answer:

B. both function and relation

Step-by-step explanation:

B both a relation and function

i will give you brainliest whoever answers correct first!!

Answers

Answer:

isn't it just 3

Step-by-step explanation:

isn't it just 3 bc there r only 3 students out of the entire class that doesnt play both instrument and sports

Answer:

12.5% chance

Step-by-step explanation:

There 24 students in total

When you divide the fraction out, you get 0.125. To turn that into a percentage, you simply multiply by 100. 0.125*100=12.5% you can check this by taking 12.5% of 24, which will give you an answer of 3.

Olive has a plastic container shaped like a cube to put slime in. She measures one side and finds that it’s 0.5 foot long. Use the formula V = s3 to determine how many cubic feet of slime will fit in her container. PLEASE HELP!

Answers

Answer:

0.125 cubic feet

Step-by-step explanation:

Since the container has a shape of a cube with a measure of its side 0.5 ft, then;

Volume of the container, V = [tex]s^{2}[/tex]

where s is the measure of its side.

s = 0.5 ft, then;

V = [tex](0.5)^{3}[/tex]

    = 0.125

V = 0.125 cubic feet

The cubic feet of slime that would fit in the container is 0.125.

State the operation used to solve the following equation X -7 equals 15

Answers

Answer:

x = 22

Step-by-step explanation:

The x Is a number that is greater than the 15.

so you add the 7 and the 15 which gives you 22

22-7 equals 15

Hope this helps

can you please help me with this question?​

Answers

Answer:

I have made it in above picture

hope it helps

ABC
180 - 28 = x

DEF
180 - 25 - 20

Question 4
Which of the following describes an equilateral triangle? Mark ALL that apply.
All angles are the same degree measure.
All sides are the same length.
Each angle measures 60°.
No sides are equal in length.
Each angle is a different measure.
Question 5

Answers

Answer:

A, B, & C

Step-by-step explanation:

An equilateral triangle is one that has (A) all equivalent angle measures & (B) all the sides are the same length.

since a triangle is equal to 180º, & since there are 3 angles in a triangle: (C) each angle measures 60º.

Hope this helps! Have a great day!

Can someone please help me with this

Answers

area of a parallelogram is base x height
48x14=672

Answer:

I'm not sure but...

Step-by-step explanation:

If I were you I would divide 48 by 14. And see how that leads out...I'm sorry if that will not help you...

Roberto makes 35% of the shots he attempts in basketball. How many shots does he make if he attempts 20 shots?​

Answers

Answer:

Roberto makes 7 shots

Step-by-step explanation:

35% is 0.35 as a decimal. Multiply the decimal by the total amount of attempted shots.

20(0.35)=7

Roberto makes 7 shots.

Marcos is making a pyramid in his wood shop class. The base of the pyramid is a rectangle. 6 What is the surface area of the pyramid? Show your work.​

Answers

It would be 6+6+6+6=24 because you have to add 6, 4 times cuz a recatengale has 4 faces.

pls pls pls pls helpppp

Answers

it would be the first one. 5.95

Answer:

$5.95

Step-by-step explanation:

7/20 = .35 cents per ounce

.35*17=5.95

6. Cynthia walks 6 miles at a rate of 2 miles
per hour. How long will it take her to
arrive at her destination?

Answers

3 hours is the correct answer

Answer:

3

Step-by-step explanation:

6 / 2 = 3 hours

Emil was dividing his candy among 15 friends and himself. If eachperson received 4 pieces, how many pieces of candy did Emil have to start with? Define a variable and write an equation. Solve the equation and check your solution.

Answers

I think it’s probably 2

Sorry this was the questions ​

Answers

I think the answer is 90

9514 1404 393

Answer:

  (c)  90 m

Step-by-step explanation:

The perimeter is the sum of the side lengths. Each of the lower-right and lower-left indents can be reversed to make the figure a 20 m by 25 m rectangle without changing the perimeter. Then the perimeter is ...

  P = 2(L +W)

  P = 2(25 m + 20 m) = 2(45 m)

  P = 90 m

_____

If you start at the upper left corner and work clockwise, the perimeter is the sum of segment lengths ...

  P = 20 m + 5 m + 8 m + 20 m + 4 m + 20 m + 8 m + 5 m

  P = 90 m

__

The units must be given as part of the measurement of the perimeter. That is why choice B (90) is inappropriate.

Eber bought a new pair of baseball cleats for $64.95. The sales
tax is 5.5%. What is the total cost that Eber will pay?

Answers

$64.95 with 5.5% sales tax is 68.52

A 90° rotation about the origin maps APQR to ALMN. Are the
triangles congruent?

Answers

Answer:

No

Step-by-step explanation:

Please help it’s for my test I’ll give points to who ever is correct and gives an honest answer

Answers

Answer:

A

Step-by-step explanation:

(f-g) = f(x) - g(x)

([tex]4^{x-1}[/tex] + 6) - (2x - 5)

[tex]4^{x-1}[/tex] + 6 + 2x + 5

[tex]4^{x-1}[/tex] + 2x + 11

From a rope that is 11 feet long, two pieces of length 13/5 feet and 3.3 feet are cut off. What is the length of the remaining rope?​

Answers

Answer:

13/5 of 11 feet should be 343 inches aka 28.58 feet

28.58 feet minus 3.3 feet should be 25.28 feet

I believe your answer would be 25.28 feet or 303.36 inches

Step-by-step explanation:

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