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3 years ago

X3 - (25 • 2) = 75 x =

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

8 0

Answer:

x=5

Step-by-step explanation:

x^3-(25*2)=75

(25*2)= 50

x^3-50=75

+50 +50

x^3=125

(divide)

x=5

dalvyx [7]3 years ago

4 0

Answer: x= 125/3

hope its right

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HELP PLEASE <br><br>must show work

matrenka [14]

Answer:

1. 4n^3

2. 4k^7

3. 3

4. -30x

5. -6

Step-by-step explanation:

1. The prime factorization of 12 is 2 x 2 x 3 and the prime factorization of 16 is 2 x 2 x 2 x 2. When you look at these two expressions you can see the common factors of these two numbers are 2 x 2, which is 4. Next, we look at the GCF of the N's which would be n^3 since n^5 has three N's in it. Therefore, we get 4n^3 when we multiply the two together.

2. The factors of 8 are 1, 2, 4, and 8. Out of these, 1, 2, and 4 are the only factors that 20 shares with it and 4 is the greatest. Then, we look at the K's and the GCF of the K's is k^7 since k^8 has seven K's. We multiply the two and we get 4k^7.

3. Since one of the numbers of the three given here does not include the variable n, there will not be any N's in the GCF of the three, so we don't have to worry about that. Now, we just find the GCF of 18, -24, and -21. The factors of 18 are 1, 2, 3, 6, 9, and 18, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24, and lastly, the factors of 21 are 1, 3, 7, and 21. From these, 3 is the biggest common divisor, therefore the GCF is 3.

4. Between the two X's, X^1 is the biggest amount of X's this GCF has, so the final GCF will be some constant multiplies with X. Since we are dealing with bigger numbers on this problem, we should use prime factorization. The prime factorization of 90 is 2 x 3 x 3 x 5, and the prime factorization of 120 is 2 x 2 x 2 x 3 x 5. From these expressions, we take the biggest amount of each common factor as we can. Since these expressions both have 2, we take the smaller amount of 2's which is one two. Then we get one three from both expressions, and one five as well. 2 times 3 times 5 equals 30, therefore, we get -30x, and not 30x, because both of these numbers are negatives.

5. All of these numbers do not have an x, so there won't be an x in our GCF. Another method of quickly finding the GCF of numbers is to look at the smallest number's factors first to see what factors it shares with the other numbers. The factors of 12 are 1, 2, 3, 4, 6, and 12. 42 and 30 do not have the factor 12, so we can go down the list and see if 42 and 30 share the factor 6, which they do since 6 times 7 is 42 and 6 times 5 is 30. Since all of these numbers share the negative sign, the GCF of these three numbers is -6.

5 0

3 years ago

Multiply 2 5/8 and -2 3/5

Rina8888 [55]

Answer:

-6 33/40

Step-by-step explanation:

2 5/8 * -2 3/5

Change each to an improper fraction

2 5/8 = (8*2+5)/8 = 21/8

2 3/5 = (5*2+3)/5 = 13/5

21/8 * -13/5

-273/40

Change to mixed number

40 goes into 273 6 times

6*40 = 240 273-240 =33

-6 33/40

8 0

3 years ago

An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the

Colt1911 [192]

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

4 0

3 years ago

Read 2 more answers

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it

vodka [1.7K]

If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

<h3>What is a rectangular prism?</h3>

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

$\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}$

Then the length of the popcorn box in inches will be

$\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3$

More about the rectangular prism link is given below.

brainly.com/question/12649592

#SPJ1

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2 years ago

Polygons ABCD and A'B'C'D' are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 o

Blababa [14]

<span>A(2, -2), B(4, -2), C(1, -3), D(5, -3).

A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

That looks like a rotation 90 degrees around the origin then a translation.

Let's do the rotation ABCD->A"B"C"D"

The rotation is (x,y)->(-y,x)

</span>A"(2, 2), B"(2,4), C"(3,1), D"(3,5).

Compare to

A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)

we need to translate one unit to the left.

Answer: 90 degree rotation around the origin then translation by (-1,0)

5 0

3 years ago

Read 2 more answers