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3 years ago

What is the solution to the equation 0.5x+4.2=5.9?

1 answer:

katrin2010 [14]3 years ago

4 0

x=3.4

You get this answer by solving for x. First, subtract 4.2 from 5.9 to get 1.7. Then, divide 1.7 by .5 to get 3.4.

:)

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Elly's room measures 78 inches by 96 inches. Sarah's room measures 66 inches by 108 inches. They want to combine their rooms. Ho

frozen [14]

Okay add 78 and 66. Then add 96 and 108. It should be 144 by 204. I know math is hard, but when you work at it you can do amazing things! I hope that helps you.

7 0

3 years ago

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Maggie's brother is three years younger than twice her age. The sum of their ages is 24 how old is maggie?

Vanyuwa [196]

The variable for Maggie will be M and 2x-3 be her younger brothers age (Twice her age). We then would turn this into an algebraic problem. (m+2x -3=24).

3x-3=24, we would add 3 to both sides (-3 and 24). 24 + 3 equals 27, we now have to divide -3x and 27 on both sides, which equals 9. (x=9)

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3 years ago

15. Over what range of angles does the value of sin(O) consistently increase?

Ronch [10]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/ $\sqrt{2}$

sin 60 = $\sqrt{3} /2$

sin 90 = 1

Thus, we see that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = $\sqrt{3} /2$

sin 135 = 1/ $\sqrt{2}$

sin 150 = 1/2

sin 180 = 0

Thus, we see that value of sin is decreasing from 90 to 180.

8 0

3 years ago

The number of square feet per house is normally distributed with a population standard deviation of 154 square feet and an unkno

11111nata11111 [884]

Answer: (1500.66,1599.34)

Step-by-step explanation:

Confidence interval for population mean:

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

,where $\overline{x}$ = Sample mean , n= Sample size, z* = critical two tailed z-value , $\sigma$ = population standard deviation.

As per given , we have

n= 16

$\sigma = 154$ square feet

$\overline{x}= 1550$ square feet

$\alpha= 1-0.80 = 0.20$

Critical z-value = $z_{\alpha/2}=z_{0.2/2}=z_{0.1}=1.2815$

Confidence interval for population mean:

$1550\pm (1.2815)\dfrac{154}{\sqrt{16}}\\\\ = 1550\pm (1.2815)\dfrac{154}{4}\\\\= 1550\pm 49.33775\\\\ =(1550-49.33775,\ 1550+49.33775)\\\\\approx (1500.66,\ 1599.34)$

Required confidence interval: (1500.66,1599.34)

6 0

3 years ago

If PQR ~= STU, which statement must be true? CORRECT ANSWER WAS A.

Dmitriy789 [7]

A is correct because Side PQ of one triangle corresponds to side ST of the other triangle since are located at the same spot.

6 0

3 years ago

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