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3 years ago

The volume of a rectangular prism is

Mathematics

1 answer:

natima [27]3 years ago

8 0

Answer:

The Height is 15in

Step-by-step explanation:

V=L.W.H

300=10x2xH

300=20xH

300/20=H

H=15in

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Which ordered pair is a solution of the equation 4x-2y=16?

Lisa [10]

Substitute the coordinates of points to the equation.

$4x-2y=16$

$A.\ (-5,\ -3)\\\\4(-5)-2(-3)=16\\-20+6=16\\-14=16\ \ \ FALSE\\\\B.\ (-5,\ 3)\\\\4(-5)-2(3)=16\\-20-6=16\\-26=16\ \ \ FALSE\\\\C.\ (6,\ -4)\\\\4(6)-2(-4)=16\\24+8=16\\32=16\ \ \ \ FALSE\\\\D.\ (6,\ 4)\\\\4(6)-2(4)=16\\24-8=16\\16=16\ \ \ \ CORRECT\\\\Answer:\ \boxed{D.\ (6,\ 4)}$

5 0

3 years ago

A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estim

STALIN [3.7K]

Answer:

The inequality is $5.5n \leq 45$

Step-by-step explanation:

Total time:

The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.

In this question:

Same number(n) of both.

Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:

$T = 2n + 3.5n = 5.5n$

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?

This means that:

$T \leq 45$

$5.5n \leq 45$

The inequality is $5.5n \leq 45$

5 0

3 years ago

Solve the following equation

Nata [24]

Answer:

$\pm \frac{10}{3}$

Step-by-step explanation:

Given:

$\frac{4}{9} - \frac{x^2}{25}$

This can be written as $\frac{4}{9} = \frac{x^2}{25} = x^2 = 25 \times \frac{4}{9}$

$\implies x = \pm \sqrt{25 \times \frac{4}{9} }$

$\implies x = \pm 5 \times \frac{2}{3} = \pm \frac{10}{3}$

6 0

3 years ago

Use the point-slope formula to write an equation of the line that passes through (-5, -4) and (3, -1).

aalyn [17]

Answer:

point slope form: y + 4 = 3/8 (x + 5) slope intercept: y = 3/8x - 17/8

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-4) / 3 - (-5)

slope = 3/8

y + 4 = 3/8 (x + 5)

y = 3/8x + b

-1 = 3/8(3) + b

-1 = 9/8 + b

-17/8

y = 3/8x - 17/8

8 0

3 years ago

What is the eighth term of the geometric sequence 6, 18, 54

Rainbow [258]

Answer:

= 4374.

Step-by-step explanation:

it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.

This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.

4 0

3 years ago