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2 years ago

Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.

Mathematics

2 answers:

Blababa [14]2 years ago

4 0

Answer:

Ben's house is at the point -2.

Step-by-step explanation:

Since his house is 2 miles in the opposite direction, he would have to be -2.

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1 year ago

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Yakvenalex [24]2 years ago

3 0

Answer:

Ben's house is at point -2.

Step-by-step explanation:

Anna lives 2.5 miles to the east.

And Ben lives 2 miles to the west.

Let 1 mile = 1 unit in x axis.

Where west is the negative axis and east is the positive axis. Also their school located at origin .i.e at x=0

From the attached figure we can see that Ben's house is at point -2.

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A minor league baseball team plays 72 games in a season. If the team won 15 more than twice as many games as they lost, how many

Alina [70]

X = games won
y = games lost

x + y = 72
x = 2y + 15

2y + 15 + y = 72
3y + 15 = 72
3y = 72 - 15
3y = 57
y = 57/3
y = 19 <=== lost games

x = 2y + 15
x = 2(19) + 15
x = 53 <=== won games

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2 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Elan Coil [88]

Answer:

(40/3)*pi

Step-by-step explanation:

lets first find the area of the little circle

A=pi*r^2

A=pi*3^2

A=9pi

Now, lets find the area of the big circle

A=pi*r^2

A=pi*(3+4)^2

A=pi*7^2

A=49pi

now lets subtract the area of the little circle from the area of the big circle

49pi-9pi=40pi, now we found the area of the "bagel)

lets find what portion of the bagel is the shaded region

120/360=1/3

now lets multiply the bagel area by the fraction

40pi*(1/3)=

(40/3)*pi or (40*pi)/3

4 0

2 years ago

Jack is using a hose to fill a cylinder-shaped dunk tank with water. If the dunk tank is six feet tall and has a diameter of six

nydimaria [60]

57 minute will take to fill the tank.

Solution:

Height of the cylinder = 6 ft

Diameter of the cylinder = 6 ft

Radius of the cylinder = 6 ÷ 2 = 3 ft

Volume of the cylinder = πr²h

= 3.14 × 3² × 6

Volume of the cylinder = 169.56 cubic feet

Time taken to fill 3 cubic feet of water = 1 minute

Time taken to fill 169.56 cubic feet of water = $\frac{169.56}{3}$

= 56.52 minute

= 57 minute

Hence 57 minute will take to fill the tank.

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2 years ago

Elizabeth went to the candy store and wanted to use the dimensional analysis she had learned in class that day. She only had a c

andrew-mc [135]

Answer: 315,392

Step-by-step explanation: this took me some time but I multiplied multiple times each time and I got this I hope it’s correct.

Btw I multiplied 2 times 8 then multipled with 11 then multipied 172 times 8 then multiplied by 14 and got 19,712. Then, I multiplied 19,712 by 16 and got 315,392

I had to edit cause I miscalculated :/ anyways I hope this is correct

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2 years ago

What is the answer? Reduce 981/387

Sergeu [11.5K]

$\frac{981}{387}\\\\981\to9+8+1=18-is\ divisible\ by\ 9\\\\387\to3+8+7=18-is\ divisible\ by\ 9\\\\\frac{981:9}{387:9}=\frac{109}{43}\\\\109\ and\ 43\ are\ the\ prime\ numbers\\\\Answer:\boxed{\frac{981}{387}=\frac{109}{43}=2\frac{23}{43}}$

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3 years ago

Read 2 more answers