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3 years ago

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A teacher weighed 145 lbs in 1986 and weighed 190 lbs in 2007. What was the average rate of change in weight? What does this mea

n in the context problem?

1 answer:

abruzzese [7]3 years ago

3 0

It’s C because it works and it should help you get it right

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Solve for x.<br> 5<br> 10<br> 12<br> 13

zysi [14]

Answer: B) 4 & 1/6

Nice work on getting the correct answer.

============================================================

Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

x/5 = 10/12

12x = 5*10 ... cross multiply

12x = 50

x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why <u>choice B</u> is the answer.

Side note: 25/6 = 4.167 approximately

8 0

3 years ago

Read 2 more answers

Shanice invests $4,668 in a savings account with a fixed annual interest rate of 2% compounded continuously. What will the accou

charle [14.2K]

Answer:

$5588.61

Step-by-step explanation:

<u>Given:</u>

Investment P = $4668
Interest rate r = 2% or 0.02
Compound number = continuous
Time t = 9 years

<u>Calculate the balance:</u>

$A = Pe^{rt}$
$A = 4668*e^{0.02*9}=4668*e^{0.18}=5588.61$

7 0

3 years ago

Write equation!!<br><br><br> twice the difference of a number and seven equals five

tino4ka555 [31]

Answer:

Its either 2(A+7=5) or 2(A+7) =5

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%7B5%7D%5E%7B3%7D%20%29%20%7B%7D%5E%7B5%7D%20" id="TexFormula1" title="( {5}^{3} ) {}^{5

WINSTONCH [101]

Step-by-step explanation:

$({ {a}^{m}) }^{n} = {a}^{mn}$

$({ {5}^{3}) }^{5}$

${5}^{5 \times 3}$

${5}^{15}$

Option A

4 0

3 years ago

Read 2 more answers

What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final

coldgirl [10]

Answer:

$59.19 ft^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7.2\ ft$

$\pi =3.14$

substitute

$A=(3.14)(7.2)^{2}$

$A=162.78\ ft^2$

step 2

we know that

The area of a circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

$\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2$

7 0

4 years ago