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3 years ago

10x - 22 = 29 - 7x. What is the value of x

Mathematics

1 answer:

bonufazy [111]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

You have to do the opposite of the operation to get the like terms on the same side of the equation sign. You have to add 22 to 29 (you add because its originally subtracted, or negative) and you add 7x to 10x. Then divide 51 by 17x giving you 3.

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Erin spent $15.30 on ingredients for cookies she’s making for the school bake sale. How many cookies must she sell at $0.35 a pi

blondinia [14]

Answer:

she needs to sell at least 44 cookies to make a $0.10 profit

Step-by-step explanation:

to find the answer all you have to do is divide 15.30 by 0.35

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3 years ago

Read 2 more answers

An interior designer is planning a room but needs to first figure out the dimensions. The length of the room is 23 inches on the

Lostsunrise [7]

Answer:

30.67 feet

Step-by-step explanation:

A proportion is often useful for solving scale drawing problems.

actual size : drawing size = (room length) : (23 in) = (2 ft) : (1.5 in)

Multiplying by 23 in gives ...

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2 years ago

What is the distance between (-4,0)and (-4,-5)

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Step-by-step explanation:

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2 years ago

Find the equation of locus of a point which moves such that its distance from (0,2) is one third distance from (-2,3). ( I WILL

scoray [572]

Answer:

$8(x^2+y^2)-4x-30y+23=0$

Step-by-step explanation:

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<u>Distance formula</u>

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let P(x, y) = any point on the locus

Let A = (0, 2)

Let B = (-2, 3)

If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

$PA=\dfrac{1}{3}PB$

Therefore, using the distance formula:

$\implies \sqrt{(x-0)^2+(y-2)^2}=\dfrac{1}{3}\sqrt{(x-(-2))^2+(y-3)^2}$

Square both sides:

$\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]$

$\implies x^2+y^2-4y+4=\dfrac{1}{9}(x^2+4x+4+y^2-6y+9)$

Multiply both sides by 9:

$\implies 9x^2+9y^2-36y+36=x^2+4x+4+y^2-6y+9$

$\implies 8x^2+8y^2-4x-30y+23=0$

$\implies 8(x^2+y^2)-4x-30y+23=0$

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2 years ago

Can someone answer number 1

Serga [27]

The answer to number one is A

6 0

3 years ago