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3 years ago

Suppose y varies directly with x. Write a direct variation equation that relates x and y.

2 answers:

8 0

If y varies directly with x:

y = k * x

When x = 2, y = - 10.

- 10 = k * 2

k = - 10 : 2

k = - 5

Therefore: y = - 5 x

And when x = 12 ;

y = - 5 * 12

Answer:

y = - 60

HACTEHA [7]3 years ago

3 0

y=kx y=-5x

-10/2=k 2/2 y=-5(12)

-5=k y=-60

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Solve the inequality -2x is less than or equal to 3x + 1 is less than or equal to 10

KatRina [158]

-2x < = 3x + 1 < = 10

split them
-2x < = 3x + 1 3x + 1 < = 10
-2x - 3x < = 1 3x < = 10 - 1
-5x < = 1 3x < = 9
x > = -1/5 x < = 3

solution is : -1/5 < = x < = 3 <==

3 0

3 years ago

On Thursday a local shop sold a combination of 417 hamburgers and cheese burgers. The number of cheeseburgers sold was two times

seropon [69]

Answer:

The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.

Step-by-step explanation:

Let

x -----> the numbers of hamburgers sold on Thursday

y -----> the numbers of cheeseburgers sold on Thursday

we know that

$x+y=417$ ----> equation A

$y=2x$ ----> equation B

Substitute the equation B in equation A and solve for x

$x+2x=417$

$3x=417$

$x=139$

Find the value of y

$y=2(139)=278$

therefore

The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.

8 0

3 years ago

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

mamaluj [8]

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

8 0

3 years ago

Read 2 more answers

6) −3 + 3k = −27<br> solve

erma4kov [3.2K]

Answer:

k = -8

Step-by-step explanation:

−3 + 3k = −27

⇔ -3 + 3k +3 = -27 +3

⇔ 3k = -24

⇔ k = -8

7 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5?

noname [10]

Answer:

y=6/5x-8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

Since we are already given the slope of the line, we can immediately plug it into the equation:

y=6/5x+b

Now we need to find b

Since the equation passes through the point (5, -2), we can use it to solve for b

Substitute 5 as x and -2 as y:

-2=6/5(5)+b

Multiply

-2=6+b

Subtract 6 from both sides

-8=b

Substitute -8 as b.

y=6/5x-8

Hope this helps!

6 0

2 years ago