All categories

3 years ago

Solving the equation -3(y - 5) = 24

2 answers:

8 0

-3(y-5)=24
First follow the distributive property and do the parentheses.
-3 times y gives you:-3y
-3 times -5 gives you 15 since a negative times a negative is a positve.
So now you have -3y +15 = 24
subtract 15 from both sides and you will get: -3y+15-15=24-15
which then gives you: -3y= 9
to get y by itself divide both sides by -3.
this gives you: y= -3

kifflom [539]3 years ago

4 0

Distribute
-3y+15=24
-15=-15
-3y= 9
-3 = -3
y=-3

You might be interested in

A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is

MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = $w+12$ inches

As given, 4 inch squares are cut from each corner;

So, the width is = $w-8$ inches

Length is = $w+12-8=w+4$ inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, $256=(w+4)(w-8)(4)$

=> $256=(w^{2}-4w-32)4$

=> $64=(w^{2}-4w-32)$

=> $w^{2} -4w=96$

or $w^{2} -4w-96=0$

=> $w^{2} -12w+8w-96=0$

=> $w(w-12)+8(w-12)=0$

We get , $(w+8)=0$ ; w = -8(neglect the negative value)

$(w-12)=0$ ; w = 12 inches

And length = $12+12=24$ inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : $256=(w+4)(w-8)(4)$

$256=(12+4)(12-8)(4)$

=> $256=(16)(4)(4)$

=> $256=256$

5 0

2 years ago

Find the x-intercept and y-intercept of the line.

castortr0y [4]

The y intercept is when x = 0 so it is:-

8(0) + y = 8
0 + y = 8

y = 6 <------- y-interdept

x intercept is when y = 0 so:-
8x + 0 = 8

x = 1 <-------- x intercept

8 0

3 years ago

Read 2 more answers

I needs help please and tank chu

PIT_PIT [208]

9514 1404 393

Answer:

C {2, 4, 9, 16}

Step-by-step explanation:

The domain is the list of numbers at the tails of the arrows.

The range is the list of numbers at the heads of the arrows: {2, 4, 9, 16}.

5 0