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Ket [755]
3 years ago
10

If (9 to the 2nd power)p = 9 to the 8th power , what is the value of p?

Mathematics
2 answers:
scoray [572]3 years ago
7 0

Answer:

p = 9^6

Step-by-step explanation:

(9^2)p = 9^8 may be solved for p as follows:  

        9^8

p = --------- = 9^(8-2)  = 9^6

       9^2

Novay_Z [31]3 years ago
3 0

(9^2)^p=9^8\\\\9^{2p}=9^8\\\\2p=8\\\\p=4

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Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painti
ivanzaharov [21]

Answer:

200ft squared

Step-by-step explanation:

7 0
3 years ago
A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether
marusya05 [52]

Answer:

Step-by-step explanation:

2+3.25=5.25 or 5 1/4 cups of flour total

8 0
3 years ago
Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 255 tickets from a previous vi
aliya0001 [1]

Answer:

20 games.

Step-by-step explanation:

Given:

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize.

She has 255 tickets from a previous visit.

She earns 6 tickets for each game she plays.

Meredith needs 375 tickets to exchange for the prize she wants.

Question asked:

How many games does Meredith need to play?

Solution:

Total tickets needed to exchange for the prize = 375

Meredith already have = 255 tickets

More tickets needed = 375 - 255 = 120 tickets

<u>By unitary method:</u>

She earns 6 tickets by playing = 1 game

She earns 1 ticket by playing = \frac{1}{6} game

She earns 120 tickets by playing =  \frac{1}{6}\times120=\frac{120}{6} =20\ games

Therefore, she needs to play 20 games to earn 120 more tickets.

3 0
3 years ago
What is the measure of side opposite to 45 degree if the side opposite to 90 degree is 4
Katarina [22]

Answer:

2\sqrt{2}

Step-by-step explanation:

if the given figure is triangle, then the required length can be calculated:

\frac{4}{\sqrt{2} } =2\sqrt{2}.

additional info: sin45°=1/√2.

3 0
2 years ago
Tasha can spend more than $40 on new boots. Write and graph an inequality to describe how much she can spend.
Svetllana [295]

Answer:

x> \$40

The graph in the attached figure

Step-by-step explanation:

Let

x-----> money that Tasha can spend on new boots

we know that

The inequality that represent the situation is equal to

x> \$40

The solution is the interval--------> (40,∞)

All real numbers greater than 40

In a number line the solution is the shaded area to the right of the dashed line at 40 (open circle)

see the attached figure

8 0
3 years ago
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