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3 years ago

Find the highest common factor of 120 and 150

Mathematics

2 answers:

Sloan [31]3 years ago

4 0

Answer:

Step-by-step explanation:

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The factors of 150 are: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Then the greatest common factor is 30.

Thepotemich [5.8K]3 years ago

3 0

The highest common factor is 13

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4(2x - 2) + 2 = 4(x - 2)

andreev551 [17]

Answer:

X=-1/2

Step-by-step explanation:

Hope this helps. Plz give brainliest.

8 0

3 years ago

Read 2 more answers

The right expression to calculate how much money will be in an investment account 14 years from now if you deposit $5,000 now an

Svet_ta [14]

Answer:

The expression to compute the amount in the investment account after 14 years is: FV = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

Step-by-step explanation:

The formula to compute the future value is:

$FV=PV[1+\frac{r}{100}]^{n}$

PV = Present value

r = interest rate

n = number of periods.

It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.

The expression to compute the amount in the investment account after 14 years is,

$FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}$

The future value is:

$FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27$

Thus, the expression to compute the amount in the investment account after 14 years is: FV = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].

4 0

3 years ago

The question says 5k+6k+4k=90. What does k equal?

alina1380 [7]

$5k+6k+4k=90 \\ \\ 15k = 90 \ / \ simplify \\ \\ k = \frac{90}{15} \ / \ divide \ each \ side \ by \ 15 \\ \\ k = 6 \ / \ simplify \\ \\$

The final result is, k = 6.

5 0

3 years ago

Please give me the answer and show me how you solved it

Yuri [45]

Answer:

Option 1: -8c^8

Step-by-step explanation:

We multiply the numbers by the numbers, then the variables times the variables.

-2 times 4 gives us -8

c^3 times c^5 = c ^8. When multiplying a variable with exponents, you add the exponents.

You only multiply the exponents when it's something like (c^3)^5

4 0

3 years ago

5. Two vertices of a rectangle are (8,-5) and (8,7). If the area of the rectangle is 72 square units, name the possible location

Phantasy [73]

Answer:

Given vertices:

(8, -5) and (8, 7)

These have same x-coordinate, so when connected form a vertical segment.

The length of the segment is:

7 - (-5) = 12 units

The area of the rectangle is 72 square units, so the horizontal segment has the length of:

72/12 = 6 units

Possible location of the remaining vertices (to the left from the given):

(8 - 6, -5) = (2, -5)

and

(8 - 6, 7) = (2, 7)

Similarly to previous exercise:

(5, -8) and (5, 4) given with the area of 48 square units

The distance between the given vertices:

4 - (-8) = 12 units

The other side length is:

48/12 = 4 units

Possible location of the other vertices (to the right from the given):

(5 + 4, -8) = (9, -8)

and

(5 + 4, 4) = (9, 4)

4 0

3 years ago