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3 years ago

Factor 1/8 out of 1/8x + 7/8

Mathematics

1 answer:

blagie [28]3 years ago

8 0

(1/8)(x+7). Just take the 1/8 out of the whole thing. You have 1/8 * x = 1/8x and 1/8 * 7 = 7/8.

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The grocery store sells kumquats for $4.75 a pound and Asian pears for $3.75 a pound. Write an equation in standard form for the

maks197457 [2]

to find the solution to this problem, we must understand that the sum of the amount that the customer could be bought is $12. $4.75 pound of kumquats and Asian pears for $3.75 mean mathematically as $12. $4.75 kumquats + $3.75 Asian, this last sum is equal to $12, so the true answer is the choice B: 4.75k + 3.75p = 12 Hope this helps. Let me know if you need additional help!

6 0

3 years ago

How many solutions does this system have?

densk [106]

Answer:

One solution since x=0

6 0

3 years ago

A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved

Komok [63]

Step 1

First situation

when a ladder is leaning against a wall

Let

x-------> the distance of the bottom of the ladder from the wall

L-------> the length of the ladder

Find the length of the ladder

Applying the Pythagorean Theorem

$L^{2} =x^{2}+ 9^{2}$ ------> equation $1$

Step 2

Second situation

when the ladder will be lying flat on the ground

Find the length of the ladder

In this situation the length of the ladder is equal to

$L=x+3$

square both sides

$L^{2}=(x+3)^{2}$ ------> equation $2$

Step 3

equate equation $1$ and equation $2$

$x^{2}+ 9^{2}=(x+3)^{2}\\x^{2}+81=x^{2} +6x+9\\ 6x=81-9\\6x=72\\x=12\ ft$

therefore

the answer is

the length of the ladder is $12\ ft$

see the attached figure to better understand the problem

5 0

3 years ago

Simplify the sum. d^2-9d+20/d^2-3d-10 plus d^2-2d-8/d^2+4d-32

dimaraw [331]

For this case what you should do is follow the following steps:
1) factorize numerator and denominator of both expressions.
2) cancel similar terms
3) add both fractions by cross product
4) Rewrite the numerator and denominator.
Answer:
See attached image.

3 0

4 years ago

Read 2 more answers

[40 POINTS]

Flura [38]

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- First find the area of the whole circle

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

Solve :

Area of sector = (50/9)π

Now, find the area of the triangle:

1/2 absinC

Substitute the values in:

1/2(5)(5) x sin(80) = 12.31009691

Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

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8 0

4 years ago

Read 2 more answers