MATHEMATICS MIDDLE SCHOOL

It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation. It is given that y varies directly as x. If y = 10 when x = 3 determine the constant of variation.v

Answers

Answer 1
Answer:

The constant of variation is 10/3.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

y ∝ x

This can be written as an equation as,

y = kx

Where k is the constant of variation.

Now,

When x = 3, y = 10.

10 = 3k

k = 10/3

Thus,

The value of k is 10/3.

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Answer 2
Answer: y varies directly as x means
y=kx
k is the constant of variation

10=k3
10=3k
divie both sides by 3
10/3=k

y=(10/3)x

the constant of variation is 10/3

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you roll a fair 6-sided die. What is P ( roll a 2 )? if necessary round your answer to 2 decimal places.

-3/4 + (-3/4)
( - 3)/(4) + ( - 3)/(4)

Answers

Firstly, since these two fractions have the same denominator, add the numerators up: (-6)/(4)

While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: -(6)/(4)/(2)/(2)=-(3)/(2)

Your answer is -(3)/(2)

Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes this relationship? A) 0.14 Eliminate B) 7.25 C) 12.5 D) 65

Answers

answer is B) 7.25 

$87 / 12 = $7.25 per hour 

$65.25  / 9 = $ 7.25 per hour  

Y= −1/3x + 4

I need help

Answers

i’m doing the same thing and don’t understand. my question is m/5+9=11

Point (2, -4) is reflected across the x-axis. What are
the coordinates of its image?

Answers

The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

Step-by-step explanation:

Let us revise the reflection of a point

1. If point (x , y) reflected across the x-axis, then its image is (x , -y)

2. If point (x , y) reflected across the y-axis, then its image is (-x , y)

3. If point (x , y) reflected across the line y = x, then its image is (y , x)

4. If point (x , y) reflected across the line y = -x, then its image is (-y , -x)

∵ Point (2, -4) is reflected across the x-axis

∵ Point (x , y) reflected across the x-axis, then its image is (x , -y)

- Chang the sign of the y-coordinate of the point to find its image

∵ The y-coordinate of the point is -4

∴ The y-coordinate of the image is 4

∴ The image of the point (2 , -4) is (2 , 4) after reflection across the

   x-axis

The coordinates of the image of point (2 , -4) after reflection across

the x-axis is (2 , 4)

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Danielle wants to purchase some clothes. He has $75. He buys one leather jacket for $39 and 3 pairs of socks. Each pair of socks cost the same price. Determine the price of one pair of socks.

Answers

39 + 3x = 75 

Solve for X.

subtract 39 from 75.

then divide by 3.

javier bought 48 sport cards at a yard sale. of the cards 3/8 were baseball cards. hoe many cards were baseball cards?

Answers

3/8·48=3·6=18

Answer: B
18 cards were baseball cards.

since 6 can go into 48 8 times, you do 6 x3 which is 18
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