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3 years ago

Kelly has 3/4 of a pie left. She wants to split the pie with 3 of her friends. How much of the pie will each person get?

2 answers:

7 0

Each of her friends will receive 1/4 of the pie. There were four pieces of the pie, if there are three even pieces now and there are three friends. Each one will get 1 slice each.

kirill115 [55]3 years ago

5 0

we want to do 3/4 divided by number of friends

remember that (a/b)(c/d)=(ac)/(bd)

3/4 divided by 3=

3/4 times 1/3=

(3*1)/(4*3)=

3/12=

1/4

each friend gets 1/4 pie

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The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).What are the values of A and B

wolverine [178]

Given:

The equation $Ax+By=10$ goes through the coordinates (6,5) and (-2,-5).

To find:

The values of A and B.

Solution:

We have,

$Ax+By=10$

It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.

$A(6)+B(5)=10$

$6A+5B=10$ ...(i)

$A(-2)+B(-5)=10$

$-2A-5B=10$ ...(ii)

Adding (i) and (ii), we get

$(6A+5B)+(-2A-5B)=10+10$

$4A=20$

Divide both sides by 4.

$A=5$

Put A=5 in (i), we get

$6(5)+5B=10$

$30+5B=10$

$5B=10-30$

$5B=-20$

Divide both sides by 5.

$B=-4$

Therefore, the values of A and B are 5 and -4 respectively.

3 0

2 years ago

The point (-7,4) is reflected over the line x=-3. Then the resulting point is reflected over the line y=x. Where is the point lo

Ne4ueva [31]

Answer:

(4, 1)

Step-by-step explanation:

Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

(-3, 4) = (A +A')/2

2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)

The reflection over the line y=x simply interchanges the two coordinate values:

A'' = (4, 1)