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3 years ago

The Art Museum has 25 exhibits and 200 visitors every day. What is the ratio of exhibits to daily visitors?

Mathematics

1 answer:

EastWind [94]3 years ago

3 0

Answer: 1:8 (or 1/8)

Step-by-step explanation:

Compare the number of exhibits to daily visitors.

25: 200

Simplify.

1:8 or 1/8

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What is the fully simplified answer to sqrt(7/18) + sqrt(5/8) - sqrt(7/2)

NeX [460]

Answer:

$=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}$

Step-by-step explanation:

Given expression as:

$=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }$

We need to simplify the given expression.

Solution:

We have:

$=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }$

Rewrite the expression as:

$=\frac{\sqrt{7}}{3\sqrt{2}} - \frac{\sqrt{7}}{\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}$

$\frac{\sqrt{7}}{\sqrt{2} }$ is a common factor to the first two terms.

Using distributive property we can factor out $\frac{\sqrt{7}}{\sqrt{2} }$ from the first two terms.

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

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

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

$=-\frac{2\sqrt{7}}{3\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}$

$\sqrt{2}$ is common factor, so we can factor $\sqrt{2}$ from the above expression.

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

$=\frac{1}{\sqrt{2} }( \frac{-2\times 2\sqrt{7}+3\times \sqrt{5}}{6})$

$=\frac{1}{\sqrt{2} }( \frac{-4\sqrt{7}+3\sqrt{5}}{6})$

$=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}$

Therefore, we get simplified answer as.

$=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}$

6 0

4 years ago

Compare using >, <, or =,<br> 64 ounces<br> 4 pounds

Anna11 [10]

Answer:

64 ounces = 4 pounds

Step-by-step explanation:

3 0

3 years ago

Solve for the equation 1+(11-7x)^1/4=4 for x.

Gwar [14]

-10.

(11-7x)^1/4 =3
(11-7x)=81
-7x=70
X=-10

4 0

3 years ago

Read 2 more answers

What is the sum of the ten thousand digit and the million's digit of 1,234,567,890

zloy xaker [14]

Answer: The ten thousand digit is 6. And the millions digit is 4. So the answer is 10.

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2 years ago

Hector enters a competition to guess how many stuffed animals are in a box. Hector’s guess is 35 stuffed animals. The actual num

qwelly [4]

Answer:20%

Step-by-step explanation:Based on the given conditions, formulate:( 35 - 28 ) divided by 35

Calculate the sum or difference: 7/ 35

Cross out the common factor: 1/5

Multiply a number to both the numerator and the denominator: 1/5 x 20/20

Write as a single fraction: 20/5x20

Calculate the product or quotient:20/100

5 0

3 years ago