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3 years ago

Solve for x: I need a answer with an explanation. Algebra 1

Mathematics

1 answer:

kirill115 [55]3 years ago

3 0

Answer: x = -1

Step-by-step explanation:

You need to convert to the same base

$\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}$

$2^{-4} = 2^{-2x-6}$

For these values to be equal, the exponents have to be equal

-4 = -2x - 6

2 = -2x

x = -1

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Pat has been assigned the job of picking apples from the family orchard. He could do the job alone in 8 hours. He knows that his

schepotkina [342]

Answer:

3.7 hours

Step-by-step explanation:

Pat could do the job alone in 8 hours.

Patti could do the job alone in 7 hours

Output = Rate * time

Let the rate at which pat does the work = Rp

Let the rate at which Patti does the work = Rt

Let X be the total output

Rp * 8 = X

Rp = X/8

Rt * 7 = X

Rt = X/7

If both pat and Patti pick apples, we have

(Rp+Rt)T = X

(X/8 + X/7)T = X

[(7X + 8X)/56]T = X

[X(7+8)/56]T = X

Divide both sides by X

[(7+8)/56]T = 1

(15/56)T = 1

T = 56/15

T = 3.7 hours

8 0

3 years ago

Tutoria

fiasKO [112]

Answer:

See below

Step-by-step explanation:

Maximum weight with no extra fee = 50 pounds

Current weight = 30.5 pounds

Required inequality:

30.5 + x ≤ 50

Solve it:

x ≤ 50 - 30.5
x ≤ 19.5

Clara can pack extra 19.5 pounds without extra fee

3 0

2 years ago

Will give brainliest answer

Butoxors [25]

Answer:

X times0.16-x times c=p

Step-by-step explanation:

5 0

3 years ago

2x + 8 > -4 x = 4 Describe how to graph it on a number line.

denis23 [38]

Answer:

Step-by-step explanation:

Focus on 2x + 8 > -4 first. Solve for x: Subtract 8 from both sides, which results in 2x > -12.

Dividing both sides by 2, we get x > -6.

Draw an open circle around -6 on the number line, and then draw an arrow to the right from x = -6.

Note that letting x = 4 is not helpful. 2(4) + 8 > -4 is true (16 > -4 is true).

3 0

3 years ago

I have the answer I just need the steps to get this answer

Lynna [10]

Answer:

24/25

Step-by-step explanation:

Sin indicates the trigonometric function sine.

The sine ratio is opposite over hypotenuse, referring to the side lengths. An easy way to remember this is: SOH CAH TOA (sine-opposite-hypotenuse | cosine-adjacent-hypotenuse| tangent-opposite-adjacent)

Here we are dealing with sinC.

The side opposite of angle C is 48. The hypotenuse of this right triangle is 50.

Therefore, our ratio is 48/50.

This ratio can be simplified by dividing both the numerator and denominator by 2.

24/25

This is your fully simplified answer.

Hope this helps!

8 0

3 years ago