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2 years ago

3/4x < 33 Solve the inequality

Mathematics

1 answer:

slava [35]2 years ago

4 0

answer:

x < 44

step-by-step explanation:

solve this like an equation

in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number

3/4x < 33

3/4x(4) < 33(4)

3x < 132

x < 44

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Clare has a set of cubes with a volume of 1 cm³ each. She also has a box with a volume of 24 cm³. Exactly two layers of cubes ca

Damm [24]

Answer:

12 cubes

Step-by-step explanation:

If the total volume of the box is 24 cm³ and the volume of each cube is 1 cm³ then that means that 24 total cubes can fit perfectly inside the box. Since there can only be two layers of cubes then we simply need to divide the total amount of cubes that will fit in the box by 2 to find the number of cubes in each layer...

24 / 2 = 12 cubes

Finally, we can see that each layer within the box will contain 12 cubes

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3 years ago

Write out the sample space for the given experiment. Use the following letters to indicate each choice: W for white, Y for yello

allochka39001 [22]

Answer:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

Step-by-step explanation:

There are three possible color choices for the game room (White, Yellow or Blue), and three possible choices for the entertainment center (Gray, Ebony or Maple). This means that there are 9 possible outcomes, therefore, the sample space for the experiment is:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

4 0

3 years ago

Find the solution to the following equations below

zvonat [6]

Answer: A. infinite solutions

B. no solution

C. one solution

Step-by-step explanation:

A. firstly we distribute: -2x-6=-2x-6

since they are the same it is infinite solutions.

B. firstly we distribute: 4x-4=1/2x-4

=2x=0

x=0

C. 3x-7=10+4x

x=17

8 0

2 years ago

Y=6x-11 -2x-3y=-7 solve each system of equation by substitution

Anit [1.1K]

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

y = 6x - 11 → (1)

- 2x - 3y = - 7 → (2)

Substitute y = 6x - 11 into (2)

- 2x - 3(6x - 11) = - 7 ← distribute and simplify left side

- 2x - 18x + 33 = - 7

- 20x + 33 = - 7 ( subtract 33 from both sides )

- 20x = - 40 ( divide both sides by - 20 )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = 6(2) - 11 = 12 - 11 = 1

Solution is (2, 1 )

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3 years ago

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3 years ago