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Marat540 [252]
3 years ago
11

David must choose a number between 55 and 101 that is a multiple of 4, 8, and 12. Write all the numbers that he could choose. If

there is more than one number, separate them with commas.
Mathematics
1 answer:
Schach [20]3 years ago
6 0

Answer:

72,96

Step-by-step explanation:

Multiple's of 4 starting above 50 to 101

52, 56, 60, 64, 68, 72, 76, 80,84,88,92,96,100

Multiple's of 8 starting above 50 to 101

56, 64, 72, 80, 88, 96,

Multiple's of 12 starting above 50 to 101

60, 72, 84, 96,

See which numbers are in all three lists

72,96

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A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The
Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B(10, –15)

substitute

d=\sqrt{(-15-0)^{2}+(10-0)^{2}}

d=\sqrt{325}\ units

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B'(2,-3)

substitute

d=\sqrt{(-3-0)^{2}+(2-0)^{2}}

d=\sqrt{13}\ units

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

so

\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}

so

One-fifth

4 0
3 years ago
Read 2 more answers
Coach Evans recorded the height, in inches of each player on his team. The results are shown.
never [62]

Answer:

3

Step-by-step explanation:

3 0
4 years ago
Solve by substitution: <br> -5x + y = -2<br> -3x + 6y = -12<br><br> please explain
fomenos

First we pick the equation. Let's say we pick first one. From it we express y.

-5x+y=-2\Longrightarrow y=-2+5x

Then we use this y and plug it in instead of y in the second equation.

-3x+6(-2+5x)=-12

Now just solve for x.

-3x-12+30x=-12 \\-3x=-30x \\\underline{x=10}

We plug this x in the first equation.

-5\cdot10+y=-2

And solve for y.

-50+y=-2 \\\underline{y=48}

So the solution to the equation is geometrically a point P which lies on the intersection of the two lines.

\boxed{P(10,48)}

Hope this helps.

r3t40

4 0
4 years ago
Starting at time t = 0, the altitude of one helicopter is given by A1 = 600 + 150t, and the altitude of a second helicopter is g
Soloha48 [4]

Answer:

The equation for difference in altitude of the two helicopters is A =  650 - 100t

Step-by-step explanation:

Given;

The altitude of one helicopter is, A1 = 600 + 150t

The altitude of a second helicopter is,  A2 = 1250 + 50t

Their difference in altitude, A at time t, is calculated as

A₂ - A₁  = A = (1250 + 50t) - (600 + 150t)

A₂ - A₁  = A =  1250 + 50t - 600 -150t

A₂ - A₁  = A = 1250 - 600 + 50t - 150t

A₂ - A₁  = A =  650 - 100t

Therefore, the equation for difference in altitude of the two helicopters is A =  650 - 100t

3 0
3 years ago
the u.s.s harry truman is an aircraft carrier that is 1,092 feet long. find the length in ft and in please help
kodGreya [7K]
The U.S.S Harry Truman is 1,092 feet (333 m) long, 257 feet (78 m) wide and is as high as a twenty-four-story building, at 244 feet (74 m)
3 0
3 years ago
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