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aalyn [17]
3 years ago
15

Show your work please

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

17% is the same as 0.17. 2/9=0.22. 0.25 doesn't need to be changed.

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Mr. Mason paints his fence on Monday, Tuesday, Wednesday, and Thursday. It takes him a total of 6 2/4 hours to paint his fence.
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3 years ago
If
Daniel [21]

Answer:

$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $

Step-by-step explanation:

From the way it is written, the x is outside the square root. I will rewrite it as:

x\sqrt{5} =x\sqrt{3} +\sqrt{7}

x\sqrt{5}-x\sqrt{3}=\sqrt{7}

x(\sqrt{5} - \sqrt{3} )=\sqrt{7}

$x= \frac{\sqrt{7} }{\sqrt{5} - \sqrt{3}} \implies \frac{\sqrt{7}(\sqrt{5} + \sqrt{3}) }{2}  $

$x=\frac{1}{2} \sqrt{7} (\sqrt{5} + \sqrt{3} )$

$x=\frac{\sqrt{35}}{2} +\frac{ \sqrt{21}}{2} $

$x=\frac{\sqrt{35}+\sqrt{21}}{2} $

Multiply denominator and numerator by 3

$x=\frac{3\sqrt{35}+3 \sqrt{21}}{6} $

Factor \sqrt{3}

\sqrt{3} (\sqrt{105}+3 \sqrt{7})

$x=\frac{\sqrt{3} (\sqrt{105}+3 \sqrt{7})}{6} $

Divide denominator and numerator by \sqrt{3}

$x=\frac{\sqrt{105}+3 \sqrt{7}}{2\sqrt{3} } $

Let's rewrite it again

$x=\frac{\sqrt{ (\sqrt{105}+3 \sqrt{7})^2}}{\sqrt{12} } $

$x=\sqrt{ \frac{1}{12} \cdot (\sqrt{105}+3 \sqrt{7})^2}$

It is already in the form $\sqrt{\frac{a}{b} } $

Expanding the perfect square, we have

63+42\sqrt{15}+105

$\frac{63}{12} +\frac{42\sqrt{15}}{12} +\frac{105}{12} $

$\frac{21}{4} +\frac{7\sqrt{15}}{2} +\frac{35}{4} $

Factor $\frac{7}{2} $

$\frac{7}{2} (4+\sqrt{15} )$

Therefore,

$x=\sqrt{\frac{7}{2} \left(4+\sqrt{15}   \right)} $

$x=\sqrt{\frac{7(4+\sqrt{15})}{2}} $

7 0
3 years ago
Read 2 more answers
Y
bearhunter [10]

Answer:

x = 49

Step-by-step explanation:

This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.

Given the mathematical expression and data;

y = 1/√x

y = 7 and x = 64

First of all, we would find the constant of proportionality, k;

y = k/√x

7 = k/√64

7 = k/8

k = 7 * 8

Constant, k = 56

Now, to find the value of x when y = 8

y = k/√x

Substituting the values, we have;

8 = 56/√x

Cross-multiplying, we have;

8 * √x = 56

√x = 56/8

√x = 7

Taking the square of both sides, we have;

(√x)² = 7²

x = 49

8 0
3 years ago
Solve the equation. Then check your solution. Negative 22 = negative 40 + r a. –62 c. 18 b. 19 d. –18
vazorg [7]

Answer:

the answer is c

Step-by-step explanation:

7 0
4 years ago
Peng bought 26 treadmills for her new fitness center at $1,334 each. Then, she bought 19 stationary bikes for $749 each. How muc
Korolek [52]
(26×1,334)+(19×749)=$48,915
5 0
3 years ago
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