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3 years ago

Solve system by elimination 8x-8y=-16 -8x-7y=-29

1 answer:

6 0

Add these together.
You get -15y=-45
So y=3

Now plug in to first equation.
8x-8(3)=-16
8x-24=-16
8x=8 so x=1

Check both values in second equation.
-8(1)-7(3)=
-8-21=-29

It works...so x=1, y=3

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Justine ran for 35 minutes on monday, for 1 hour and 10 minutes on Wednesday , and for 1 hour and 15 minutes on friday. How many

Oduvanchick [21]

Answer:

3 hours or 180 minutes

Step-by-step explanation:

This one should be an easy one

First, lets convert everything to units

35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.

Hope it helps :)

7 0

2 years ago

Which number produces a rational number when added to 1/2

JulijaS [17]

Answer:

C. 0.314.

Step-by-step explanation:

1/2 is rational. The answer is another rational number.

The only rational number in the list is 0.314.

3 0

2 years ago

Read 2 more answers

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

a store has 2 boxes of markers. Each box holds 5 packs of markers. There are 8 markets in each pack. How many markers are in the

Katyanochek1 [597]

Multiply:

2 boxes x 5 packs each = 10 total packs

10 packs x 8 markers per pack = 80 total markers

Any: 80 markers

4 0

2 years ago

Answer the question in the image below

umka21 [38]

Answer:

B. m $\geq 2\frac{1}{2}$

Step-by-step explanation:

$m\geq \frac{5}{2}$

6 0

2 years ago