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3 years ago

On a family trip, the baristas drive 110 miles in 2 hours. At this rate, how far would they drive in 7 hours

Mathematics

1 answer:

KonstantinChe [14]3 years ago

8 0

The answer is 385mi. 110mi/2hr = 55mi/1hr=385mi/7hr

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Find the distance between the points 3,7 and 15, 12 on the coordinate plane?

lana [24]

$\text{Distance } = \sqrt{ (x_2 -x_1)^2 + (y_2 - y_1)^2}$

$\sqrt{ \left( 15 - 3\right)^2 + \left( 12 - 7\right)^2}\\\\\sqrt{\left( 12\right)^2 + \left( 5\right)^2}\\\\\sqrt{ 144 + 25 }\\\\\\ \sqrt{ 169 } = \boxed{\bf{ 13}}$

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3 years ago

What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.

crimeas [40]

To solve this, we are going to use the surface are of a sphere formula: $A=4 \pi r^2$
where
$A$ is the surface area of the sphere
$r$ is the radius of the sphere

We know for our problem that $A=2122.64$ and $\pi =3.14$ , so lets replace those vales in our formula:
$A=4 \pi r^2$
$2122.64=4(3.14)r^2$
$2122.64=12.56r^2$
Now, we just need to solve our equation for $r$ :
$\frac{2122.64}{12.56} =r^2$
$r^2=\frac{2122.64}{12.56}$
$r^2=169$
$r=+or- \sqrt{169}$
$r=13$ or $r=13$
Since the radius of a sphere cannot be a negative number, $r=13$ .

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span> $in^2$ is 13 in.

3 0

3 years ago

Select the correct answer.<br> Which function is the inverse of function<br> f(x) = -2

Artemon [7]

Answer:

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = $\frac{x+2}{7}$ ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

8 0

2 years ago

Read 2 more answers

erika estimates that she is 200 to 300 miles away from her destination. if her car travels 25 miles per gallon of gas and each g

DedPeter [7]

Answer:

32$ < x < 48$

Step-by-step explanation:

Erika estimates that her destination is between 200 and 300 miles away.

When we divide 200 with 25 miles we get 200/25 = 8 gallons

When we divide 300 with 25 miles we get 300/25 = 12 gallons

When we multiply 8 · 4 = 32$ we get amount of money for destination

200 miles x = 32$

When we multiply 12 · 4 = 48$ we get amount of money for destination

300 miles x = 32$

Since that the estimate destination is between 200 miles and 300 miles

then the best estimate for the amount of money is between

32$ < x < 48$

God with you!!!

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3 years ago

Read 2 more answers

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

bija089 [108]

$a_1=-9\\\\a_2=a_1-8\to a_2=-9-8=-17\\\\a_3=a_2-8\to a_3=-17-8=-25\\\\a_4=a_3-8\to a_4=-25-8=-33\\\\\text{The general term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=-9\ \text{and}\ d=-8.\ \text{Substitute:}\\\\a_n=-9+(n-1)(-8)=-9-8n+8=-8n-1\\\\\text{Put n = 43 and calculate}\ a_{43}\\\\a_{43}=-8(43)-1=-344-1=-345\\\\Answer:\ \boxed{?=-345}$

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3 years ago