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Olegator [25]
3 years ago
10

Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

Step-by-step explanation:

Yes

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
Christmas candy and items are 80% off at Walgreens. Lacy got 3 rolls of wrapping paper originally priced at $4.99 each and a box
Maslowich

Answer:

A. $3.59

Step-by-step explanation:

Okay so wrapping paper 4.99 she got three. So we would take 4.99 and subtract 80%. We would get 0.998. We multiply this by three because that's how many she got. After multiplying it's 2.994, rounded just 2.99. She payed 2.99 for wrapping paper. Now with the candy canes, we take 2.99 and subtract 80%. 0.59. Added we get 3.58, and we can go ahead and round that up to $3.59. Before tax she payed $3.59.  

7 0
3 years ago
In a certain Algebra 2 class of 29 students, 18 of them play basketball and 7 of them play baseball. There are 2 students who pl
Natasha2012 [34]

Answer:

24/.29

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Two cells are viewed and measured under a microscope. The approximate diameter
nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have            

The diameter of cell P is  5*10^{-4}\ m

The diameter of cell Q is  3*10^{-5}\ m

Rewrite the diameter of cell P as    

5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m

Find the difference

50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m

Rewrite the difference as

47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m

7 0
3 years ago
WILL GIVE BRANLIEST PLZZ HELP ANSWERING THE 3 QUESTIONS IN FULL
Stells [14]

Answer:

1. 3/2

2. 25/16

3. x^2

Step-by-step explanation:

1.

\frac{1}{2/3^1} = \frac{1}{2/3}

1 x (3/2)

5 0
3 years ago
Read 2 more answers
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