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3 years ago

Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36.

Mathematics

1 answer:

OverLord2011 [107]3 years ago

3 0

Answer:

x=11

Step-by-step explanation:

2[x+7]=36

you take 2 times x and 2 times 7

2x+14 =36

-14 -14

2x = 22

you take 2x divided by you and you have x

22 divided by 2 you have 11.

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White raven [17]

The area of the polygon with the given vertices is of 7.5 square units.

<h3>What is the area of a right triangle?</h3>

The area of a right triangle is given by half the multiplication of the lengths of it's sides.

The polygon in this problem is a right triangle with sides 3 and 5, hence the area is given by:

A = 0.5 x 3 x 5 = 7.5 square units.

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2 years ago

A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ANEK [815]

Answer:

$9.2\ \text{m}$

Step-by-step explanation:

$b$ = Surface area of base = 5 square meters

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The rate at which the volume is reducing is

$\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt$

Integrating from $t=0$ to $t=3$

$V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24$

Volume of water remaining in the tank is $70-24=46\ \text{m}^3$

Suface area of base $\times$ depth = Volume

$5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}$

The depth of the water remaining in the tank is $9.2\ \text{m}$ .

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3 years ago

Can someone help me solve for b? 2(b + 3) = 12

Akimi4 [234]

2b+3=12
-3 -3
2b=9
B=4.5

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