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3 years ago

Liner systems of equations

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Answer:

8 years

Step-by-step explanation:

x years later type A and type B will have the same height

Type A = Type B: 10 + (8/12)*X = 6 + (14/12)*X

multiply 12 each side

120 + 8x = 72 + 14x

14x - 8x = 120 - 72

6x = 48

x = 8

check: A: 10 x 12 + 8 x 8 = 184

B: 6 x 12 + 14 x 8 = 184

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Simplify the ratio 15:13

tino4ka555 [31]

15:13 is in its simplest form already, since 13 is a prime number and 15 is not a multiple of 13.

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4 years ago

A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need we will need these two equations

Step one

Remember

area of a circle

$Area=\pi *\frac{diameter^{2} }{4}\\$

Also, the volume of the cylinder

Volume= area of the circle * height

$Volume=\pi *\frac{diameter^{2} }{4} *height\\$

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

$Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters$

I hope it helps,have a great day.

3 0

3 years ago

A chef planning for a large banquet thinks that 2 out of every 5 dinner guest will order his soup appetizer he expects 800 guest

Masteriza [31]

Answer:

320 cups of soup

Step-by-step explanation:

2/5= x/800

2/5 =.04

800*.04 =320 x=320

2/5 = 320/800

2/5 =0.4 is equivalent to 320/800=0.4

6 0

4 years ago

The greater of two consecutive even integers is 20 more than twice the smaller. find the integers

Sliva [168]

9514 1404 393

Answer:

-19, -18

Step-by-step explanation:

Let x represent the smaller integer. Then the larger is x+1 and their relationship is ...

x +1 = 20 + 2x

-19 = x . . . . . . . . . subtract x+20 from both sides.

The smaller integer is -19; the larger is -18.

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3 years ago

Someone can help me with this one please ?

Nikitich [7]

Answer:

Step-by-step explanation:

the square root of 106 is 10.

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3 years ago