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3 years ago

10

Which situation is best represented by the following equation?

1 answer:

ololo11 [35]3 years ago

8 0

Answer:

The first one, 14 weeks of dance classes.

Step-by-step explanation:

She paid $753.95 as a total for all of the classes, not just one week. She paid her registration free, which you subtract from 753.95 to get 630.00. She pays 45 per week, so you divide 630 by 45 to get the amount of weeks she attended dance classes, or 14 weeks.

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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 <em>q</em> 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 <em>h</em> 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 <em>d</em>, the number of one-dollar coins:

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

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, 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 <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, 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

The variable Z is directly proportional to X. When X is 6, Z has the value 18. What is the value of Z when X=10

const2013 [10]

Make a proportion
6/18 = 10/z
Cross multiply
180 = 6z
180/6 = z
Z = 30

7 0

3 years ago

−6x^2−1 and x+9 help will mark brainliest.

Varvara68 [4.7K]

Answer:

-6x^2+x+8

Step-by-step explanation:

Add -1 and 9 because they are the only like terms

8 0

3 years ago

HELP NEEDED ASAP WILL GIVE 5 STAR RATING AND BRAINLIEST!

stealth61 [152]

Answer:

The answer to your question is: ∠K = 138°

Step-by-step explanation:

m∠N = 42°

m∠K = ?

The sum of all the internal angles in a quadrangle equals 360°

then

∠N + ∠L + ∠M + ∠K = 360°

∠N = ∠ L and ∠M = ∠K

So, 2 ∠N + 2 ∠K = 360

Substitution

2 (42) + 2 ∠K = 360

84 + 2 ∠K = 360

2 ∠K = 360 - 84

2 ∠K = 276

∠K = 276 / 2

∠K = 138°

8 0

3 years ago

Order these numbers from least to greatest.<br> 1.3571, 1.4, 1.035, 1.35

Advocard [28]

1.035,1.3571,1.35,1.4

7 0

3 years ago