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2 years ago

At a craft store, fabric comes in bolts that are a fixed number of inches wide.

Mathematics

1 answer:

kykrilka [37]2 years ago

4 0

Hi, thank you for posting your question here at Brainly.

To solve this, you have to know the conversion factors.

1 yard = 3 ft = 36 inches

Thus,

48 inches * (1 yard/36 inches) = 1.33 yards

This means that you need to buy at least 2 yards per bolt.

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Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2

Aleksandr [31]

Answer:

a= $\frac{3}{x^{2} }$

b=5

Step-by-step explanation:

we are given

$\frac{3}{x} }$ + $\frac{5}{x^{2} }$ =ax+ $\frac{b}{x^{2} }$

we will compare both sides of equaion

$\frac{b}{x^{2} }$ = $\frac{5}{x^{2} }$

comparing both sides we get

b=5

and

$\frac{3}{x} }$ =ax

a= $\frac{3}{x^{2} }$

hence

a= $\frac{3}{x^{2} }$

and b=5

4 0

2 years ago

You open a business selling school supplies and tutoring sessions. In your first week, you had $9,000 in sales. You ran a promot

vaieri [72.5K]

Answer: total net sales = $7950

Step-by-step explanation:

The formula for determining total net sales is expressed as

total net sales = Gross sales - (sales returns + allowances + discount)

Gross sales means total sales.

From the information given,

Gross sales = $9000

Discounts = $900

Returns = $150

Allowances = 0(this is because it was not given)

Therefore,

total net sales = 9000 - (900 + 150)

= 9000 - 1050

total net sales = $7950

3 0

2 years ago

Zekia divides 6 cups of fruit juice equally among 8 friends. 2 of her friends don't drink the juice. How much is leftover? Thank

BlackZzzverrR [31]

6 = 8f - 2f
6 = 6f
f = 1

there is no leftover as each friend get 1 cup

5 0

2 years ago

Read 2 more answers

Which of the following lists of ordered pairs is a function? A.(2, 4), (3, 9), (4, 16), (5, 25) B.(0, 2), (4, 2), (0, –4), (4, –

marta [7]

A, is the answer because each input has one and only one output

3 0

2 years ago

Read 2 more answers

Can someone help me find the equivalent expressions to the picture below? I’m having trouble

miss Akunina [59]

Answer:

Options (1), (2), (3) and (7)

Step-by-step explanation:

Given expression is $\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}$ .

Now we will solve this expression with the help of law of exponents.

$\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}=\frac{\sqrt[3]{(2^3)^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}$

$=\frac{\sqrt[3]{2\times 3} }{3\times2^{\frac{1}{9}}}$

$=\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3\times 2^{\frac{1}{9}}}$

$=2^{\frac{1}{3}}\times 3^{\frac{1}{3}}\times 2^{-\frac{1}{9}}\times 3^{-1}$

$=2^{\frac{1}{3}-\frac{1}{9}}\times 3^{\frac{1}{3}-1}$

$=2^{\frac{3-1}{9}}\times 3^{\frac{1-3}{3}}$

$=2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }$ [Option 2]

$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2$ [Option 1]

$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2$

$=(2^2)^{\frac{1}{9}}\times (3^2)^{-\frac{1}{3} }$

$=\sqrt[9]{4}\times \sqrt[3]{\frac{1}{9} }$ [Option 3]

$2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(2^2)^{\frac{1}{9}}\times (3^{-2})^{\frac{1}{3} }$

$=\sqrt[9]{2^2}\times \sqrt[3]{3^{-2}}$ [Option 7]

Therefore, Options (1), (2), (3) and (7) are the correct options.

6 0

2 years ago