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3 years ago

62/354 simply to fractionI really need help

Mathematics

2 answers:

Verdich [7]3 years ago

5 0

62/354= 31/177 or 0.17514

Artyom0805 [142]3 years ago

3 0

Divide both numbers by 2 you get 31/177

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73,890 and 100 and expanded form

Elden [556K]

73,980=70,000+3,000+800+90+0

100=100+00+0

4 0

3 years ago

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

3 years ago

Which fraction is greatest

never [62]

#1 = 1/3

#2 = 5/6

#3 = 8/9

#4 = 6/7

#5 = 15/20

3 0

3 years ago

An 8-foot ladder leans against a wall and makes a 53° angle with the wall. Which is closest to the distance up the wall the ladd

kenny6666 [7]

Answer:

The ladder reaches 4.8 ft up the wall

Step-by-step explanation:

3 0

3 years ago

I need help! And if you can explain that would be good!

zysi [14]

Answer:

meema, papa, and then auntie jo

Step-by-step explanation:

you need to find the slope of each of them and then determine which one is the fastest and which one is the slowest.

meema: 48-24/4-2 = 4/2 = 2

papa: 40-24/5-3 = 16/2 = 8

auntie jo: 45-18/5-2 = 27/3 = 9

im in algebra two so you can trust my answer. happy holidays and stay safe!

7 0

2 years ago