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3 years ago

Solve the equation for x. x2 = 676

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

Answer:

x=26

Step-by-step explanation:

fredd [130]3 years ago

4 0

When solving for a variable, we try to get the variable (we are solving for) on one side, usually the left hand side, and have the rest of the equation on the other side, usually on the right hand side, and you get your answer!

When looking at the equation 2x = 676 what could we do to get the 'x' variable alone? The first thing that comes out to me is to divide the left hand side by two. This will result in just 'x'.

And make sure that any operation you do on one side, make sure to do the same on the opposite side.

2x = 676

x = 676 / 2

x = 338

Hope this answer helps you and your quest at getting better at mathematics!

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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

3 years ago

Round 10.95 to the nearest tenth

Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

Ed: Explanation below.

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0

3 years ago

One minute is 1/60 of an hour. What part of an hour is 12 minutes?

Alla [95]

2/10ths of an hour. You do 12/60 and get 0.2

7 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!!!!!!!

alexgriva [62]

I think it is 715 mph but I may have done my math wrong....

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3 years ago

Maka made $45,670 last year.

Luba_88 [7]

You need the percentages to answer the question

7 0

3 years ago