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3 years ago

6

The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minut

es. What was Alex's average speed?

1 answer:

Lynna [10]3 years ago

8 0

His average speed was 50 m/min

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Please help with math

densk [106]

Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!

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3 years ago

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ABCD is a rectangle. Rectangle A B C D is shown. All angles are right angles. The length of A D is 5 and the length of D C is 12

sashaice [31]

Answer: 13

Step-by-step explanation:

I used Pythagorean theorem to solve this problem. As DC and AD is 12 and 5, you would do 12²+5²= c². 12²= 144 and 5²= 25. 144+25= 169. It doesn't end there. Do the square root of 169 ---> √169=13.

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2 years ago

Which expression is equivalent to

lutik1710 [3]

Answer:

$\frac{\sqrt[4]{3x^2} }{2y}$

Step-by-step explanation:

We can simplify the expression under the root first.

Remember to use $\frac{a^x}{a^y}=a^{x-y}$

Thus, we have:

$\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}$

We know 4th root can be written as "to the power 1/4th". Then we can use the property $(ab)^{x}=a^x b^x$

<em>So we have:</em>

<em> $\sqrt[4]{\frac{3x^{2}}{16y^{4}}} \\=(\frac{3x^{2}}{16y^{4}})^{\frac{1}{4}}\\=\frac{3^{\frac{1}{4}}x^{\frac{1}{2}}}{2y}\\=\frac{\sqrt[4]{3x^2} }{2y}$ </em>

<em />

<em>Option D is right.</em>

8 0

3 years ago

What is the slope of the line through the points (-4, 2) and (-16, -6)?

Effectus [21]

Answer:

A: 2/3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Caleb and Landon work at a dry cleaners ironing shirts. Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hou

Hitman42 [59]

Answer:

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked

Step-by-step explanation:

Assume that Caleb worked for x hours and Landon worked for y hours

∵ Caleb worked for x hours

∵ Landon worked for y hours

∵ Caleb worked 2 more hours than Landon

→ That means Caleb hours = Landon hours + 2

∴ x = y + 2

→ Subtract y from both sides

∴ x - y = 2 ⇒ (1)

∵ Caleb can iron 30 shirts per hour

∵ Landon can iron 15 shirts per hour

∵ They ironed 330 shirts between them

→ Multiply x by 30 and y by 15, then equate their sum by 330

∴ 30x + 15y = 330

→ Divide both sides by 15 to simplify the equation

∴ 2x + y = 22 ⇒ (2)

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked

7 0

2 years ago