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Molodets [167]
3 years ago
10

Which equation is equivalent to (1/3)^x = 27^x+2

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

x = -3/2

Step-by-step explanation:

3^{-1}  ^{x} = 3^{3}  ^{(x+2)}

3^({-x-6)} = 3^{3x

-x-6 = 3x

-6 = 4x

x = -6/4

c = -3/2

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Explain the mistake 3/6 + 1/3 = 4/9
Shkiper50 [21]

Answer:

The answer should be 5/6

Step-by-step explanation:

The problem just adds both the numerator and the denominator which is something you can't do. You have to find the least common denominator, which in this case is 6, and change the numerator as the denominators have been changed. So 1/3 becomes 2/6. 3/6 + 2/6 = 5/6

4 0
3 years ago
Jim wants to build a toy house. He plans for the width to be 2 feet and the length to be 3 feet. Then he decides to add to the l
Cloud [144]
Lets w width, l length, y amount add, A area, P perimeter


A=lw=(3+y)(2)=6+2y ft²

p= 2l+2w= 2(3+y)+2(2)= 6+2y+4 =10+2y


4 0
4 years ago
Triangle ABC, ∠ B is the right angle, AB = 36 cm, and BC = 28 cm. If the similar figure DEF, DE = 9 cm what is the area of DEF?
andrezito [222]
AB = 36 cm
BC = 28 cm

Since they are similar figures:

36/28 = 9/EF

36EF = 28*9

EF = 252/36 = 7 cm

Finding the area:

Area = 1/2 * DE * EF

Area = 1/2 * 9 * 7

Area = 31.5 cm^2
5 0
4 years ago
The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. Durin
Dennis_Churaev [7]

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

3 0
4 years ago
Whats 2.48 divided by 0.4?
xxTIMURxx [149]
2.48 / 0.4

Multiply both top and bottom by 10

(2.48 * 10) / (0.4 * 10)

24.8 / 4

6.2

Hope this explains it.
6 0
3 years ago
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