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4 years ago

What is the percentage . Help me please :)

Mathematics

1 answer:

natulia [17]4 years ago

7 0

C. less than 25%

The real answer is 15%.

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

4 years ago

Please help I’ll give you points and mark you brainliest

elixir [45]

ANSWER:

i think it’s c

5 0

3 years ago

HELP!! I wasn't in class today and I wasn't able to get the answers to this sheet. Anybody have any idea what the answers are?

dusya [7]

Answer:

idk but you can ask your teacher for help

4 0

3 years ago

Find the value of x 7x-8=8x

sammy [17]

Calculate like terms:
7x-8=8x
7x-8x=8
-x=8
-x/-1=8/-1
x=-8

6 0

3 years ago

Simplify algebraic expression y+3y-2

Tcecarenko [31]

Answer:

the answer is 4y-2

Step-by-step explanation:

To simplify any algebraic expression you need to add liketerms.

In this equation, the liketerms are y and 3y.

3y+y= 4y

We are left with 4y-2; we cant go any further, because 4y and -2 are not liketerms.

5 0

3 years ago