) A coin collection consisting of pennies, dimes, and quarters totals 45 coins. The number of
quarters is five more than twice the number of pennies and the number of dimes is four
more than the number of pennies. How much is the coin collection worth?/

Answers

Answer 1

9514 1404 393

Answer:

  $7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

  p + d + q = 45 . . . . . . . . there are 45 coins in the collection

  2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

  p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

  p +(p +4) +(2p +5) = 45

  4p = 36 . . . . . . . . . . . . . subtract 9

  p = 9 . . . . . . . . . . . divide by 4

  d = 9 +4 = 13

  q = 2(9) +5 = 23

The value of the collection is ...

  23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14

The coin collection is worth $7.14.


Related Questions

solve the equation 12n-60

Answers

Answer:

n-5

Step-by-step explanation:

Baby booked into the muffins how many total muffins did he make

Answers

Can you show the problem please!

The ratio of the girls to boys in the school
marching band is 10 to 8. If there are 32 boys in
the marching band, how many of the students in
the marching band are girls?
A 38
B, 40
C. 26
D, 42

Answers

B.40
Because 32/8=4. So you have to multiply 10x4 to get 40 girls
40 the answer is B ####

Will give brainliestt

Answers

Answer: (-5, -3)

Step-by-step explanation:

(-10, -6)

-10/2 = -5

-6/2 = -3

will give brianlist

Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.


120 millimeters

12 millimeters

1,200 millimeters

1.2 millimeters

Answers

A. 120 millimeters.

If 5 candy bars cost $6, how much will 8 candy bars cost?
(SHOW THE WORK)

Answers

5/6=.8333. 8-5=3. 3*.8333=2.5. 2.5+5=7.5. $7.5 for 8 bars.

Answer:

48$ Hope this helps! (●'◡'●)

Step-by-step explanation:

Round to nearest tenth

Answers

Answer:

Step-by-step explanation:

this is exactly the same as the 1st one,  just  they put it in a different orientation.   sooo use law of cosines , where

QR = c

a = 12

b = 23

cos(120) = cos (P)

c = sq rt [ a^2+b^2﹣2*a*b*cos(P) ]

QR = sq rt [ 12^2 + 23^2 - 2* 12*23*cos(120) ]

QR = sq rt [ 144 + 529 - 552 * (-0.5 0 ]

QR = sq rt [ 673 + 276 ]

QR = sq rt [ 949 ]

QR = 30.8058

rounded to nearest 10th is

QR = 30.8  :)

need help ASAP!!!!!

What is the common ratio for f(x)=2^x-3+5

Answers

Answer:y=2x−3+5

Step-by-step explanation:

Do you mean 2^(x-3) + 5?

If so, y=41/8,
there are no zeros (x-intercepts)
Domain: xER
Horizontal asymptote at y=5

What is the surface area of the following figure?

Answers

Answer:

28 cm2

2 x 7 x 2 = 28

hope this helps

Surface area of a rectangular prism/box is area = 2 · (h · d + h · w + d · w)
So now just plug in the
2(2• 2+2•7+2•7)
Now solve using p.e.m.d.a.s.from the left

2(4+14+14)
2(32)
64
So answer is D




A baker uses 3/4 teaspoon cinnamon for every 2/3 can of pumpkin when making pumpkin muffins. How much cinnamon does the baker need for each can of pumpkin?

Answers

Answer:

9/8 teaspoon

Step-by-step explanation:

The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.

0.66*1.5 = 1

So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.

0.75*1.5 = 1.125

Convert into fractional form:

1.125 = 9/8

Your answer is 9/8 teaspoon of cinnamon per one can of muffins.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

I need help With this

Answers

Answer:

Step-by-step explanation:

C

Answer: A

Step-by-step explanation:

There u go

What would be the first step to solve this equation x - 5 (x-1) = x - (2x- 3 )

Answers

The first step would be to do use the distributive property
x−(5x−5)=x(2x−3)

Is 5/7 greater than or less than 2/8

Answers

Answer:

greater than lol

Step-by-step explanation:

Answer:

5/7 is grater than 2/8

Step-by-step explanation:

5/7 = 0.714

2/8 = 0.25

therefore 5/7 is grater than 2/8

The radius of a circle is 7 m. Find its circumference in terms of pi.

Answers

Answer:

Step-by-step explanation:

Circumference is 2pir

So 14pi meters

Donna makes 8 dollars for each hour of work write an equation to represent her total pay p after working h hours

Answers

It would be 8 times h being the number of hours worked which would give you p her pay 8(h)=p

Answer:

8h=p

Step-by-step explanation:

P is pay

H is hour

u make 8 dollars for an hour, so for h hours it would be 8h

What transformation preserves angle measures but not side lengths?


Translation

Rotation

Reflection

Dilation

Answers

Answer:

translation

Step-by-step explanation:

I'm pretty sure

Math!!!! Fined the area of the triangle

Answers

Answer:

Area = 40 cm²

Step-by-step explanation:

Area of triangle is derived by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Length of Base = 8 cm

Height of the triangle = 10 cm

Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]

                                                             = 40 cm²

marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.

Answers

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

find the value of each variable

Answers

it’s 68. i did it earlier

What’s the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y= -x - 8

Step-by-step explanation:

To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.

Can I have help with this question?

Answers

Answer:

Step-by-step explanation:

<2, <3, <6 have the measure of 135 degrees

Solve for x
- 7 = x - 2

Answers

Answer:

x = -5

Step-by-step explanation:

move the variable tothe left hand side change the sign

-x-7= -2

Calculate the sum

-x =5

change the sign on both of the equations

x =

Help me pleaseeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

i can't see the number srry:(

I can’t also see the numbers.. did u forget to put it in?

Shivaun claims that the opposite of the opposite of a number is itself.
Which of the following equations supports this claim?
1-6 = 6
-6=6
-(-6) = 6
-6+6 = 0

Answers

The answer is -6+6=0

Zack and Dave each bought some coins from jerry online. Dave bought 5 more coins than Zack bought


C. Explain why it’s not necessary to know how many coins Zack bought to determine how much more Dave paid than Zack paid

Answers

Answer & Step-by-step explanation:

number of Dave's coins = number of Zack's coins + 5

The question is asking to find the difference in prices paid (thus "more"), completely unrelated to the number of coins Zack bought as these two numbers are independent of one another. The difference in price can be found by simply multiplying the cost of one coin by 5.

Find the product

1. 3/2 ×2/5
2. 3/-5×-5/3​

Answers

Answer:

1- 3/5 or .6

2- 1

Step-by-step explanation:

¡23
120+3
Use the example as a model. Simplify the
expressions.
= i20 i3
37
DONE
= 15 x 13
= 1 x 13
= -i

Answers are in the picture (don’t need to answer this question this is just here cause It hasn’t been answered yet)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Square root of 3
Square root of 36
Square root of 9
Which number is irrational?

Answers

Answer:

Square root of 3

Step-by-step explanation:

Answer:

can you help me with this math am not good enough

If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y?

Answers

Answer:

2x-3x=24____eqn 1

3x+4y=2____eqn 2

solve eqn 1 and 2 simultaneously using elimination method

eliminate x use the coefficients of x in the two equations to multiply each other i.e

3(2x-3y=24)

2(3x+4y=2)

6x-9y=72

6x+8y=4

eliminate x using the subtraction sign(-)

6x-6x-9y-(+8y)=72-4

-9y-8y=68

-17y=68

divide both side by the coefficient of y

y=68/-17

y=-4

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3x+4(-4)=2

3x-16=2

collect like term

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divide both side by the coefficient of x

x=18/3

x=6

since we're asked to find x-y

6-(-4)

6+4=10

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