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3 years ago

Solve using substitution: 2x - 3y = -1 y = x - 1

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

Answer:

x=4 y=3

Step-by-step explanation:

rewrite the equations- y=x-1 2x-3y=-1

solve y=x-1 for y

y=x-1

sub for x-1 for y in 2x-3y=-1

2x-3y=-1

2x-3(x-1)=-1

-x+3=-1

-x+3+-3=-1+-3

-x=-4

divide both sides by -4

x=4

sub 4 for x in y=x-1

y=x-1

y=4-1

y=3

WE ARE VENOM

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3 years ago

When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c

Gennadij [26K]

Given:

The formula for total cost is

$T=p+\dfrac{s}{100}p$

where, p is the price of item and s is the sales tax rate (as a percent).

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To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

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Divide both sides by 14.

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3 years ago

What is 3070900 in words

lidiya [134]

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4 0

3 years ago

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a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo

uranmaximum [27]

Answer:

Part a) The equation for the volume of the film canister is

$32\pi=\pi r^{2}(8)$

Part b) The radius of the film canister is $2\ cm$

Step-by-step explanation:

The complete question is

A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the circular base

h is the height of the cylinder

we have

$V=32\pi\ cm^3$

$h=8\ cm$

substitute

$32\pi=\pi r^{2}(8)$ ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

$32\pi=\pi r^{2}(8)$

$32\pi=8\pi r^{2}$

Simplify

Divide by 8π both sides

$4=r^{2}$

square root both sides

$r=2\ cm$

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2 years ago

4. If 60 marks is 40%, what is full marks?

Gwar [14]

Answer:

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2 years ago

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