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4 years ago

Write an equivalent expression for the expression shown below: a/3 + a/3 + a/3

Mathematics

1 answer:

iris [78.8K]4 years ago

3 0

Answer:

3 (a/3) = a

Step-by-step explanation:

a/3 + a/3 + a/3

3 times a/3

the 3's cancel each other out

Keep up the good work! =)

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Please help me out on this question

Mariulka [41]

At x=2, y=4

At x=4, y=16

So the total change in y from x=2 to x=4 is 16-4=12

And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6

Hope that helps. Let me know if you have any questions.

7 0

3 years ago

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

How do you solve n-8=17

Alexxandr [17]

Answer:

n = 25

Step-by-step explanation:

Add to both sides.

n = 17 + 8 = 25

3 0

3 years ago

Read 2 more answers

What is the LCM 18,10,12? yeah

Karo-lina-s [1.5K]

Answer:

The LCM of 10, 12, and 18 is 180.

HOPE THIS HELPED!!!!!!!!!!!!XDDDDDDDD

4 0

3 years ago

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What is the slope intercept of the line (-9,7) (9,1)

lozanna [386]

Slope intercept is = 1/3

4 0

3 years ago