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3 years ago

A room has an area of 456 square feet. One dimension is 5 feet more than the other. What is the dimensions of the room?

1 answer:

4 0

<span>Draw a rectangle. Label the length x and the width (x+5). A = L*W => x(x+5)=456 => x^2 +5x-456=0 => Solve for x using Quad formula. x=19 and x=-24
</span><span>So your dimensions are 19 and 24</span>

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Solve this system of equations

olga_2 [115]

Answer:

D) x = 4, y = -2, z = 3

Step-by-step explanation:

x = 3z − 5

2x + 2z = y + 16

2(3z - 5) + 2z = y + 16

6z - 10 + 2z = y + 16

8z = y + 26 ---> (A)

7x − 5z = 3y + 19

7(3z - 5) - 5z = 3y + 19

21z - 35 - 5z = 3y + 19

16z = 3y + 54 ---> (B)

8z = y + 26

16z = 3y + 54

2(y + 26) = 3y + 54

2y + 52 = 3y + 54

y = -2

8z = -2 + 26

8z = 24

z = 3

x = 3(3) - 5

x = 4

8 0

3 years ago

Write the equation for the line graphed below.

mrs_skeptik [129]

Answer:

y = 1/2x -1

Step-by-step explanation:

to find the y-intercept you find where the line crosses the y axis

for the slope you need to use the equation

change of y2 - change of y1

change of x2 - change of x1

3 0

3 years ago

Read 2 more answers

Solve the inequality −22 + 4q > 2

Mars2501 [29]

First you had to add by twenty-two from both sides of equation form.

$-22+4q+22>2+22$

Then simplify by equation.

$4q>24$

Next, you divide by four from both sides of equation form.

$\frac{4q}{4}> \frac{24}{4}$

Finally, simplify by equation.

$24/4=6$

$24/6=4$

$6*4=24$

$4*6=24$

$q>6$

Final answer: $\boxed{q>6}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

8 0

3 years ago

Suppose the waiting times in an emergency room are normally distributed with a mean (mean) of 40 and a standard deviation (sigma

kipiarov [429]

Answer:

0.68269

Step-by-step explanation:

When we are to find the z score for population where a random sample is picked, the z.score formula we use is

z = (x-μ)/Standard error, where

x is the raw score,

μ is the population mean

Standard error = σ/√n

σ is the population standard deviation

n = random number of samples

For : x = 38 minutes, μ = 40, σ = 10, n = 5

z = 38 - 40/10 /√25

= -2/10/5

= -2/2

= -1

Determining the probability value using z table

P(x = 38) = P(z = -1)

= 0.15866

For : x = 42 minutes, μ = 40, σ = 10, n = 25

z = 42 - 40/10 /√25

= 2/10/5

= 2/2

= 1

Determining the probability value using z table

P(x = 42) = P(z = 1)

= 0.84134

The probability that their average waiting time will be between 38 and 42 minutes is calculated as

P(-Z<x<Z)

= P(-1 < x < 1)

= P(z = 1) - P(z = -1)

= 0.84134 - 0.15866

= 0.68269

Therefore, the probability that their average waiting time will be between 38 and 42 minutes is 0.68269

3 0

3 years ago

Help thanks !!!!!!!!!!!!!

Elden [556K]

Answer:

5:2

Step-by-step explanation:

There are 5 apples and 2 cherries. Put them together to get 5:2.

4 0

3 years ago

Read 2 more answers