Matt has 43 coins in his piggy bank. He only has quarters and nickels and the total amount of money he has saved thus far is $5.75 How many quarters does he have in his bank?

Answers

Answer 1
The answer is 18.


He has 575 cents.

25q + 5n = 575
q + n = 43

(575-q*25)/5=n
Listing some points in the form (q,n), until we find that q+n is 43:
(0,115); q+n=115
(1,110); q+n=111
(2,105); q+n=107
(3,100); q+n=103
(4,95); q+n=99
(5,90); q+n=95
(6,85); q+n=91
(7,80); q+n=87
(8,75); q+n=83
(9,70); q+n=79
(10,65); q+n=75
(11,60); q+n=71
(12,55); q+n=67
(13,50); q+n=63
(14,45); q+n=59
(15,40); q+n=55
(16,35); q+n=51
(17,30); q+n=47
(18,25); q+n=43
(19,20); q+n=39
(20,15); q+n=35
(21,10); q+n=31
(22,5); q+n=27
(23,0); q+n=23
(24,-5); q+n=19

When q+n is 43, he had 18 quarters!
18*25+(43-18)*5=575
There was a much easier way to do this.

Related Questions

Solve the following:

A) a/5+3=8
B) 3b/7-1=5

Answers

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

What are the coordinates of the x-intercept of the equation 2x - 3y = 8?

Answers

Answer:

(4;0)

Step-by-step explanation:

y=0

2x-3×0=8

2x=8

x=4

the slope of the line that contains (2,-10) and (-4,2).

Answers

Step-by-step explanation:

Slope=2+10/-4-2

=-2

................

HELP ME IN THE MATH


34x65+532-654+74744476=

Answers

Answer:

74746564

Step-by-step explanation:

Follow the steps.

Answer 74746564

Step-by-step explanation:

Assuming that the 34 is 34 times 65

With p.e.m.d.a.s. you would first multiply 34 x 65 which you would get 2210

then you would add 532, then subtract 654 from 2742.

After you would take 2088 and add 74744476 and get

74746564

(sorry if i misunderstood the problem and got it completely wrong)

Which of the following lists all of the positive factors of 18?

Answers

The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

can someone give me some examples of statistics PLEASE

Answers

Answer:

Weather Forecasts,Genetics,Medical Studies i think

Step-by-step explanation:

Find the number, if...

3/8 of it is 24.

Answers

If 3/8 is 24 then 8/8 is 64

The pig pen below has a width of 7 feet and a length of 4 feet. What is the area of the pig pen. Show your work and remember that area is in square units. Hog Pen with Cover: Little Buster Toys

Answers

Step-by-step explanation:

It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.

2/9 times n = -6. find the value of n. Please help!

Answers

Answer: n = -27

Step-by-step explanation:

2/9n = -6

divide both sides by 2/9

n = -27

Answer is: n= -27

Explaination: figure it out

How much is House A worth after two years? Round your answer to the nearest dollar.
How much is House B worth after two years? Round your answer to the nearest dollar.

Answers

Answer:

see below

Step-by-step explanation:

Take the original value times the appreciation and add the original value

Do this for each year

House A

year 1:

 new value = 125260+ 125260* .05

                    =125260 +6263

                     =131523

year 2:

 new value = 131523+131523* .05

                    131523+6576.15

                         138099.15

Nearest dollar  138099

House B

year 1:

 new value = 120160+ 120160* .06

                    =120160 +7209.60

                     =127369.6

year 2:

 new value = 127369.60+127369.6* .05

                    127369.60+7642.18

                         135011.78

Nearest dollar  135012

Answer:

A: $138,099

B: $135,012

Step-by-step explanation:

A: growth rate: (100+5)/100 = 1.05

125260 × 1.05² = 138,099.15

B: growth rate: (100+6)/100 = 1.06

120160 × 1.06² = 135,011.776

Please help me I really need your help please help me

Answers

Answer:

Step-by-step explanation:

Q8) Diameter = 14 in

r = 14/2 = 7 in

Area of missing chunk = πr²/4

                                    = (3.14 * 7 * 7)/4

                                    =1/4(3.14*7*7)

option 4

Q9) 90 degrees

Q10) Each minute = 6°

      In the figure shown, it is 15 minutes

  = 15* 6 = 90 degrees

Find the perimeter and the area of the polygon with the given vertices.

S (3,0), T (3,9), U (8,9), V (8,0)

Answers

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

Which expression is equivalent?

7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19

Answers

D is the answer -8x + 19

Answer:

this is so overdue

Step-by-step explanation:

Enter the division problem 15 ÷11 as a fraction.

Answers

Answer: 15/11

Step-by-step explanation:

Answer:

15 ÷ 11 as a fraction is 15/11. As a mixed number it is 1 4/11.

Step-by-step explanation:

Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.

Answers

It’s not too hard,

I hope that helps.

hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3

Answers

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Sasha is solving a multi-step equation. Her first step is shown below.
Equation: 3. - 8- 10x = 3(2x +3)
Step 1: 3 -- 10x - 8 = 6x + 9
Which properties did Sasha use to get to Step 1? Select all that apply.

addition property of equality

associative property of addition

commutative property of addition

multiplication property of equality

distributive property of multiplication over addition

Answers

Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer

Answers

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building


The ratio of hens to rabbits in the barn at Wunderlich Farms is 3 to 5. If there are nifty-six animals in the barn, how
many are rabbits?
11
35
21
36

Answers

Answer:

35 rabbits

Step-by-step explanation:

hens : rabbits : total

3     : 5 :  3+5

3     : 5 :  8

We have 56 total animals

56/8 = 7

Multiply each term by 7

hens : rabbits : total

3*7     : 5*7 :  8*7

21       : 35     : 56

There are 21 hens and 35 rabbits    

A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?

Answers

Answer:

A bag contains:

8 blue balls.

7 green balls.

5 red balls.

The probability that the ball is red would be:

P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25

Hope this helps!

:)

Answer:

0.25

Step-by-step explanation:

Total balls: 8 + 7 + 5 = 20

Red balls: 5

P(red) = 5/20 = 0.25

The absolute value of -1/4 is

Answers

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

1)
Which choice could you use to find the volume of the given sphere? (π = 3.14)
A) V = 4(3.14)(4.5)3
B) V = 4/3(3.14)(4.5)2
C) V = 4/3(3.14)(4.5)3
D) V = (3.14)(4.5)3
2)
Determine the volume of the given sphere. (nearest tenth)
A) 91.1 cubic units
B) 286.1 cubic units
C) 381.5 cubic units
D) 401.6 cubic units

Answers

Step-by-step explanation:

(1) The radius of sphere is 4.5 units.

The volume of volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

[tex]\pi=3.14\ , r=4.5[/tex]

So,

[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]

Option C is correct.

(2) If we solve the plugged values, then we get :

[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]

[tex]V=381.5\ \text{units}^3[/tex]

Option C is correct.

As caixas de lajota que serão utilizadas em uma construção devem ser transportadas do depósito para a obra. Um caminhão carregado com 280 caixas de lajota conclui o trabalho em 5 viagens. No mínimo, quantas viagens seriam necessárias para concluir esse trabalho se fosse utilizado um caminhão com capacidade para transportar 395 caixas de lajota em cada viagem?

Answers

I have no idea I can’t read this sorry

4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.

Answers

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

thomas bought a bag of jelly beans that contained 10 red, 15 blue, and 12 green. what is the probiblity of thomas reaching into the bag and pulling out a red jelly bean and then reaching in again and pulling out a green or blue one? assume that the first jelly bean is not replaced

Answers

Answer:

20%

10/37 * 27/36 = .202727 >>> 20%

Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w

Answers

Answer:

The original price of the food items was 24.



Suppose you had 28 baskets of 6 apples and 5 baskets of 9 apples.

How could you quickly figure out how many baskets of 3 apples you could create?

Answers

Answer:

71 baskets of 3 apples.

Step-by-step explanation:

From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.

From each of the 5 baskets you can get  9/3 = 3 baskets of 3.

Therefore:-

From the 28 baskets you can create 28 * 2 = 56 baskets of 3.

From the  5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.

Total 15 + 56 = 71.

Determine the intercepts of the line.
y=5x-13y=5x−13

Answers

Answer:

Step-by-step explanation:

hello : y=5x-13

x-intercept : when y=0  means : 5x-13=0     5x=13 so: x=13/5

y-intercept : when x=0  means : 5(0)-13=y     y= - 13  

Answer:

Y = (0, -13)

X = (2.6,0)

Step-by-step explanation:

5 * 0 -13 = yy = 0 - 13y = -13 (0, -13)X = 0 = 5x - 1313 = 5x13/5 = 13/5 = 2.6X(2.6,0)

A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket for $45.Let y represent the net profit in dollars when they have sold x tickets

Answers

A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.They sold each ticket for $45.Let y represent the net profit in dollars when they have sold x tickets

Which of the following information about the graph of the relationship is given?

Choose 1 answer:

A

Slope and x-intercept

B

Slope and y-intercept

C

Slope and a point that is not an intercept

D

x-intercept and y-intercept

E

y-intercept and a point that is not an intercept

F

Two points that are not intercepts

Answer:

A. Slope and x-intercept

Step-by-step explanation:

We are told that each Ticket cost $45 , so the number of ticket sold should be multiplied by the cost of 1 ticket , Also; we were informed that x tickets were sold, this implies that the amount will be $45 multiplied by x , which is $45x. To find the profit (y) , then we must find the cost of 18 tickets which will give us the cost price and then subtract it from the selling price ($45x).

NOW:

Given that :

a charity organization had to sell 18 tickets

and one ticket cost for $45

Then 18 tickets = $45 × 18 = $810

Let y represent the net profit in dollars when they have sold x tickets

So : y = 45 x - 810

Relating the above equation with equation of a straight line  y = mx +c ,

where :

m and c = the numbers on the gradient line   ; &

y = slope

x =  intercept where the graph crosses y - axis

Thus; the information given is the :Slope and x-intercept

The graph of y = |x| is shifted up by 4 units and to the right by 5 units.
What is the equation of the new graph?

Answers

Answer:

Step-by-step explanation:

The equation of the new graph is y =|x - 5| + 4|

The new equation of the graph is y = |x-5| + 4 which is determined by shifting up by 4 units and to the right by 5 units for a given function.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The equation of the graph of y = |x| can be transformed by shifting it up by 4 units and to the right by 5 units. To do this, we add 4 to the y-coordinate and add 5 to the x-coordinate. The new equation of the graph is y = |x-5| + 4

This equation can be understood by considering the function of absolute value:

y=|x| is a function that returns the absolute value of x.

and

y=|x-5| + 4 is a function that returns the absolute value of (x-5) and then adds 4 to it.

In other words, the new graph is the same as the original one but with x coordinate shifted right by 5 units and the y coordinate shifted upward by 4 units.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ2

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