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3 years ago

Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y). x = y + 6 y = -2 - x

Mathematics

1 answer:

kenny6666 [7]3 years ago

4 0

X=(-2-x)+6
x=4-x
2x=4
x=2

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TJ invested $4000 in a bond at a yearly rate of 2% for 30

slavikrds [6]

Answer:

2.5 years

Step-by-step explanation:

I = 200 T=200/4000 0.2 = 2.5 years

P= 4000

R = 2% 0.2

T = ?

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3 years ago

Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

$r=\frac{3h}{2}$

Volume of conical pile is given by formula

$V=\frac{1}{3}\pi r^2h$

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

$1110=\frac{1}{3}\pi (\frac{3h}{2})^2h$

$1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h$

$1110=\pi\cdot\frac{3h^3}{4}$

$1110\cdot\frac{4}{3\pi}=h^3$

$471.098631552=h^3$

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

7 0

4 years ago

Number 4 i don’t know how to do this one

Kruka [31]

Answer:

r= 3 h = 6 then use 3^2 + 6^2 = l^2

Step-by-step explanation:

3 0

3 years ago

Which is greater between |5| amd |2|

pshichka [43]

Answer:

|5| = 5 and |2| = 2 and because 5 > 2, our answer is |5| > |2|.

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3 years ago

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asambeis [7]

11/12 + 1 3/4=

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4 years ago

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