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UNO [17]
2 years ago
14

What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer

Mathematics
1 answer:
GaryK [48]2 years ago
3 0

Answer:

x = -7/5

Step-by-step explanation:

3( x - 6 ) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 3 + 10x

-5x - 10x = 3 + 18

-15x = 21

x = -\frac{7}{5}

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Zhang Lei spent $20.00 during his last outing at the bowling alley. This included a one time shoe rental fee of $3.50. He spent
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Answer: The cost per game is $5.5

Step-by-step explanation:

Zhang Lei spent $20.00 during his last outing at the bowling alley. There is a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games.

This means that amount paid for x number of games = 20 - 3.5 = $16.5

If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, total time spent in minutes is 120+ 15 = 135 minutes. Therefore, the number of games is played is 135/45 = 3

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3 years ago
1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches,
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Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube:  V=s^3\\ (s - side length)

Formula for Surface Area of a Cube: SA=6s^2 (s- side length)

<h3>For Cube 1:</h3>

The side length's 15 inches.

Find the volume:

V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}

The volume of cube one is 3375in³.

Find the surface area:

SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}

The surface area of cube 1 is 1350in².

<h3>For Cube 2:</h3>

The side length's 8 inches.

Find the volume:

V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}

The volume of cube two is 512in³.

Find the surface area:

SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

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