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3 years ago

3 to the 10th power = 3 to the 7th power times x to the 3rd power (solve for x)

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Rewriting this sentence as an algebraic equation, we get:

3^10 = 3^7 * x^3.

Dividing both sides by 3^7 simplifies the problem:

3^3 = x^3

Here this x corresponds to the 3 in 3^3. Thus, the solution is x = 3.

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The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an

Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0

3 years ago

List and descripe the steps you would use to model 7/10_4/10

hram777 [196]

7/10 > 4/10 because 7/10 is bigger than 4/10
7/10 = 0.7
4/10 = 0.4

5 0

3 years ago

AB is included between<br><br> A. BC and AC<br> B. C. < A and D. AB and BC

Novay_Z [31]

Answer:

Option C.

Step-by-step explanation:

By the property of unique triangles (ASA), one side is included between the two angles.

By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.

Therefore, $\bar{AB}$ is included between ∠A and ∠B.

Option C. will be the answer.

5 0

3 years ago

There were 605 people sitting in an auditorium at the start of a show. Thirty-five people left during the intermission. How many

sp2606 [1]

Answer:

570

Step-by-step explanation:

In order to get the answer, you simply subtract.. 605-35=570

6 0

3 years ago

Graph x+y=8 and x-y=4

yanalaym [24]

Answer:

See attached photo for graphs.

Step-by-step explanation:

The first step is to solve each equation for y, then graph using slop-intecept form...

x + y = 8

y = -x + 8 (subtract x from both sides)

x - y = 4

-y = -x + 4 (subtract x from both sides)

y = x - 4 (divide both sides by -1)

8 0

3 years ago