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2 years ago

HELP ASAP PLEASE I KEEP GETTING IT WRONG:(

Mathematics

1 answer:

ANEK [815]2 years ago

5 0

Answer:

I think it's the amount of money Mary earns for 10 hours worked.

Step-by-step explanation:

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Please help!! Write in simplest radical form: √7/8 Show how you figured it out

12345 [234]

Given expression: $\sqrt{\frac{7}{8}}$ .

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\frac{\sqrt{7}}{\sqrt{8}}$

$\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}$

$\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}$

$=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}$

$=\frac{\sqrt{14}}{4}$

$=\frac{\sqrt{14}}{4}$ .

3 0

3 years ago

A theater has 28 rows of 38 seats downstairs and 14 rows of 26 seats upstairs.How many seats does the theater have?

Triss [41]

For downstairs- 28 x 38= 1064

For upstairs- 26 x 14= 364

All together- 1064 + 364= 1428

So.... 1428 seats in total.

Hope this helped! :)

3 0

3 years ago

Sam works 1/5 hour at the register of a store. He works 2/3 hour in the back stock room and 1/2 hour helping customers. How many

AleksandrR [38]

Answer:

Sam worked $\frac{41}{30}$ hours that day (fractional answer)

Step-by-step explanation:

The total number of hours Sam worked is the sum of all the three hours given.

Let's add the first 2 using LCM and then add that result with the last.

Firstly:

$\frac{1}{5}+\frac{2}{3}\\=\frac{1(3)+2(5)}{15}\\=\frac{13}{15}$

Now,

$\frac{13}{15}+\frac{1}{2}\\=\frac{13(2)+1(15)}{30}\\=\frac{41}{30}$

The hours worked by Sam is 41/30 hours (fractional answer).

7 0

3 years ago

Given teo circles whose radii are 9" and 24", the ratio of thuer circumfrence is?

saul85 [17]

Answer:

The ratio is 3:8

Step-by-step explanation:

The circumference of a circle can be calculated using the formula;

C = 2 * pi * r

for 9 inches;

C = 2 * pi * 9 = 18 pi inches

For 24 inches;

C = 2 * pi * 24 = 24 pi inches

The ratio is thus;

18 pi : 48 pi

divide through by 6 pi

= 3: 8

5 0

3 years ago

Membership to a music club costs $165. Members

dimulka [17.4K]

Answer:

11 music lessons.

Step-by-step explanation:

We know that membership costs $165 and members pay $25 per music lesson.

So, we can write the following expression:

$165+25m$

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.

We know that non-members pay no membership fee but their cost per lesson is $40. So:

$40m$

Represents the cost for non-members for m music lessons.

We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

$165+25m=40m$

And solve for m. Let's subtract 25m from both sides:

$165=15m$

Now, divide both sides by 15:

$m=11$

So, at the 11th music lesson, members and non-members will pay the same.

Further Notes:

This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.

However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.

And we're done!

5 0

3 years ago