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3 years ago

15

Clair is purchasing bags of mulch to Cover her vegetable garden. one bag of mulch will cover 12 square feet, how many bags will

Claire need if she has to cover 504 square feet ?

1 answer:

Alborosie3 years ago

7 0

She will need 42..............

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Divide x to the 1 half power divided by x to the 2 sevenths power.

Semenov [28]

Remember some basic rules
$\frac{x^m}{x^n}=x^{m-n}$
and
$x^ \frac{m}{n}= \sqrt[n]{x^m}$

so
$\frac{x^\frac{1}{2}}{x^\frac{2}{7}}=x^{\frac{1}{2}-\frac{2}{7}}$
1/2-2/7=
7/14-4/14=
3/14

$x^{\frac{1}{2}-\frac{2}{7}}=x^{\frac{3}{14}}$

$x^ \frac{3}{14}= \sqrt[14]{x^3}$

4 0

3 years ago

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the or

Alchen [17]

Answer:

$\dfrac{7}{6}$

Step-by-step explanation:

Let $\dfrac{a}{b}$ be the original fraction.

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. Hence,

$\dfrac{a+6}{b}=\dfrac{a}{b}+1$

If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. Hence,

$\dfrac{a}{b+36}=\dfrac{a}{b}-1$

Add these two equalities:

$\dfrac{a+6}{b}+\dfrac{a}{b+36}=\dfrac{a}{b}+1+\dfrac{a}{b}-1\\ \\\dfrac{a+6}{b}+\dfrac{a}{b+36}=2\dfrac{a}{b}\\ \\\dfrac{a}{b+36}=\dfrac{2a-(a+6)}{b}\\ \\\dfrac{a}{b+36}=\dfrac{a-6}{b}\\ \\ab=(a-6)(b+36)\\ \\ab=ab+36a-6b-216\\ \\36a-6b-216=0\\ \\6a-b-36=0\\ \\b=6a-36$

Substitute it into the first equation:

$\dfrac{a+6}{6a-36}=\dfrac{a}{6a-36}+1\\ \\\dfrac{a+6}{6(a-6)}=\dfrac{a}{6(a-6)}+1\\ \\a+6=a+6(a-6)\\ \\a+6=a+6a-36\\ \\6a=6+36\\ \\6a=42\\ \\a=7\\ \\b=6\cdot 7-36=42-36=6$

Thus, the initial fraction was

$\dfrac{7}{6}$

6 0

4 years ago

1700 + 2029.8x = 9500 solve for x

Novosadov [1.4K]

Step-by-step explanation:

1700 + 2029.8x = 9500

2029.8x=9500-1700

x=7800/2029.8

x=3.85

6 0

3 years ago

Read 2 more answers

Rocky works in a restaurant for six hours a day and is paid $4 per hour for any extra time worked. if rocky worked 6.25 hours on

Effectus [21]

Rocky will earn $4 as extra money that week. Hope it help!

4 0

3 years ago

A light-year is 5.9 x 10^12 miles. A mile is approximately 6.34 x 10^4 inches. About how many inches are in a light-year? Write

NeTakaya

The answer would be 3.7406 × 10^17. Because when multiplying the constant you would get 37.406 and then you add the exponent and add one more since only one decimal can be over the decimal.

3 0

3 years ago