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3 years ago

Solve 4x−9y=13 for y.

Mathematics

1 answer:

Irina18 [472]3 years ago

8 0

Answer:

$y = - \frac{13}{9} + \frac{4}{9} x$

Step-by-step explanation:

$4x - 9y = 13$

$4x - 9y - 4x = 13 - 4x$

$- 9y = 13 - 4x$

$y = 9y \div (9) = (13 - 4x) \div ( - 9)$

$y = (13 - 4x) \div( - 9)$

$y = 13 \div ( - 9) - 4x \div ( - 9)$

$y = - 13 \div 9 - 4x \div ( - 9)$

$y = - \frac{13}{9} - 4x \div ( - 9)$

$y = - \frac{13}{9} + 4x \div 9$

$\boxed{\green{y = - \frac{13}{9} + \frac{4}{9} x, x E R}}$

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A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the

dangina [55]

Answer:

the number of miles is 160

Step-by-step explanation:

The computation is given below:

Let us assume the miles be x

For company A

y = $100 + $0.40x

And, for company B

y = $20 + $0.90x

In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost

SO,

$20 + $0.90x > $100 + $0.40x

Subtract $20 from both sides

0.90x > 80 + 0.40x

Now subtract 0.40x from both sides

0.50x >80

x>160

So the number of miles is 160

6 0

3 years ago

PLZ HELP!! ILL GIVE BRAINLIESTT

Nadya [2.5K]

Answer:i am not sure about this

Given Statement:

Angela is very tired after working outside all day.

Conditional Statement:

If she was working outside all day, then angela is very tired.

Converse Statement:

If angela is very tired, then she was working outside all day.

Inverse Statement:

If angela did not work outside all day then she will not be tired

Contrapositive Statement:

If angela is not tired then she did not work outside all day

Biconditional Statement:

Angela is very tired if and only if she worked outside all day

Step-by-step explanation:

6 0

3 years ago

Type the correct answer in each box.

Mariulka [41]

Answer:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)

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

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

substitute the values

$r=\sqrt{(2+4)^{2}+(-3-5)^{2}}$

$r=\sqrt{(6)^{2}+(-8)^{2}}$

$r=\sqrt{100}\ units$

$r=10\ units$

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(5,-4)\\r=10\ units$

substitute

$(x-5)^2+(y+4)^2=10^2$

$(x-5)^2+(y+4)^2=100$

6 0

3 years ago

Two cylinders have the same size base, but one is twice as tall. Explain why the taller cylinder does not have double the surfac

Igoryamba

Answer:

The surface area of a cylinder is the sum of the areas of the two bases and the area of the lateral surface. If the height of the cylinder is doubled, the area of the lateral surface is doubled, but the areas of the bases remain the same.

Step-by-step explanation:

8 0

3 years ago

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What is the volume that can fit exactly 128 cubes with 1/2 inch sides?

aleksandrvk [35]

I think it is 64 cause i multiplied

8 0

3 years ago