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igor_vitrenko [27]

3 years ago

14

Stacy is saving $5 each week to buy a new bike. She already has 15 dollars saved in her bank account. SHe needs to save at least

75 dollars in order to buy a new bike.

1 answer:

kotykmax [81]3 years ago

3 0

She nee to save $60 more so she can buy a new bike

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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

3 years ago

Lincoln middle school plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. WRITE

AURORKA [14]

Let x be the unknown number.

7x + 668 < 2000    => 7x plus 668 is less than 2000

where:
7x => x represents the number of cans to be collected in 7 days
668 is the number of cans already collected.
2000 is the target number of cans.

7x + 668    < 2000
<u>    - 668    -668</u>
7x < 1332
<u>÷7 ÷7</u>
x < 190.30
or
x < 190

To check:

7x + 668 < 2000
7(190) + 668 < 2000
1330 + 668 < 2000
1998 < 2000

8 0

3 years ago

Read 2 more answers

F(x) = x2. What is g(x)? 1,16

Hunter-Best [27]

Answer:

D. g(x)=(4x)^2

5 0

3 years ago

A punch recipe says to mix 4 cups pineapple juice 8 cups orange juice and 12 cups seltzer in order to make 18 servers of punch.H

lesya692 [45]

81 servings. I found this by making a ratio:
24 c 108 c
------- = -------
18 ser x
I then cross multiplied to get the equation: 24x=1,944. I solved this equation to find x, the number of servings in 108 cups, which was 81.

I remember doing this back in elementary school. I had a hard time with it too!

6 0

3 years ago

Really need help on this

IgorC [24]

The answer is the last one. Just plug 1,2,3,4 in for n.

7 0

3 years ago