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ddd [48]
3 years ago
14

A collection of coins contains a total of sixteen dimes and quarters. It is worth $2.20 in all. How many dimes are in the collec

tion?
Mathematics
1 answer:
grin007 [14]3 years ago
5 0

9514 1404 393

Answer:

  12 dimes

Step-by-step explanation:

Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...

  0.25q +0.10(16 -q) = 2.20

  0.15q +1.60 = 2.20 . . . . . . . simplify

  0.15q = 0.60 . . . . . . . . subtract 1.60

  q = 4 . . . . . . . . . . . divide by 0.15

  16-q = 12

There are 12 dimes in the collection.

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If a circle has a radius of 2 ft. is the circumfrence and area the same? Explain
romanna [79]

Answer:no

Step-by-step explanation:

The circumference and radius are different

8 0
3 years ago
Read 2 more answers
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
vlabodo [156]

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

x - 5 + \frac{x}{2} + 6 = 13

Solve to find the value of x

\frac{2x - 10 + x + 12}{2} = 13

\frac{3x + 2}{2} = 13

Multiply both sides by 2

\frac{3x + 2}{2}*2 = 13*2

3x + 2 = 26

Subtract 2 from both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide both sides by 3

\frac{3x}{3} = \frac{24}{3}

x = 8

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

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6 0
3 years ago
A video game company is designing a game based on professional race cars. Professional race cars have a length of 570 cm and a w
siniylev [52]

Answer:

  A) 1/45

  B) 1/60

Step-by-step explanation:

<u>Part A</u>

The actual car has a length to width ratio of ...

  length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6

The rectangle on the screen has a length to width ratio of ...

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Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.

For a model width of 4 cm, the scale factor is ...

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__

<u>Part B</u>

For a model width of 3 cm, the scale factor is ...

  model/life-size = (3 cm)/(180 cm) = 1/60

7 0
3 years ago
Use the quadratic formula to solve x-6x+8=0
Sedbober [7]

x  = [-(-6) +/- sqrt((-6)^2 - 4*1 * 8))] / 2

   =  (6 + sqrt4) / 2 ,  ( 6 - sqrt4)/2

  =  4 , 2
6 0
4 years ago
How can I use scaling to help predict the product of a number and I fraction
Zigmanuir [339]

To start off scaling is another way of saying resizing the numbers --

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Most scaling is used in maps or something to do with rulers

I hope this helps!!

8 0
3 years ago
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