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2 years ago

The average of three different positive integers is 8. What is the largest integer that could be one of them?

Mathematics

1 answer:

galina1969 [7]2 years ago

4 0

Answer:22

Step-by-step explanation: the smallest the other two can be is 1 so you have to multiply 8 with 3, that equals 24, then you have to subtract 2 (1+1) and that gives you 22.

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This one is a tough one. If you can explain it to me that’ll me great.

Crazy boy [7]

Answer:

C. 73 if I have read the given angle measurements correctly.

The angle measurements I see are:

$219^\circ$

$(x-50)^\circ$

$(x+45)^\circ$ .

Step-by-step explanation:

Those angles together form a full rotation. A full rotation is equal to 360 degrees.

So we have the following equation to solve:

$219+(x-50)+(x+45)=360$

Combine like terms:

$(x+x)+(219-50+45)=360$

Simplify:

$2x+(219-5)=360$

$2x+214=360$

Divide both sides be 2:

$x+107=180$

Subtract 107 on both sides:

$x=180-107$

$x=73$

5 0

2 years ago

Read 2 more answers

PLEASE HELP, 40 POINTS!!!!!!!!!!!!!!!!!!!

andriy [413]

Eu nu știu engleză fiule

6 0

2 years ago

What is the volume of the triangular prism? A) 480 cm3 B) 960 cm3 C) 1200 cm3 D) 1920 cm3

tiny-mole [99]

The answer should be D.

6 0

3 years ago

Read 2 more answers

1 . Alberto has 318 baseball cards and 273 basketball cards. Estimate how many sports cards Alberto has. Describe the strategy y

Galina-37 [17]

For 1. To estimate how many sports cards Alberto had, you would round each number to the nearest ten, so 318 would become 320. 273 would then become 270. You would then add those two and would get 590. So, Alberto had 590 sports cards (estimated). If you were looking for the actual answer (not estimated) , you would get 591.

6 0

2 years ago

A plane flying horizontally at an altitude of 3 miles and a speed of 500 mi/h passes directly over a radar station. Find the rat

konstantin123 [22]

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles

First, we need to find b:

$a^{2} + b^{2} = h^{2}$ (1)

$b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles$

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

$\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})$

$2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:

$0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt}$

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

$\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}$

$\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h$

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

4 0

2 years ago