1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olasank [31]
3 years ago
11

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

flaps are folded upward to form an open box. If the volume of the box is 930 incubed/ in^3, what were the original dimensions of the piece of​ metal?

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

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

so

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

so

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

You might be interested in
Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet long, 20 feet wide, and 5 fe
Goshia [24]
First find the perimeter. Then take the depth of the pool and multiply it by the perimeter.
Hope this helps
5 0
3 years ago
Read 2 more answers
What is the answer for this equation: 3n-8=n
stiks02 [169]

Answer:

n=4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The Math Club is selling shirts to raise money for a Pi Day Convention. Short sleeve shirts are $5 and long sleeved shirts are $
Sladkaya [172]
<h2>Answer:</h2>

# short sleeved shirts sold  is 50

# long sleeved shirts sold 35

<h2>Step-by-step explanation:</h2>

First, you need to set up the equation.

(5x)+10*(85-x)=600

5x+850-10x=600

-5x+850=600

-5x=600-850

-5x=-250

x=50


After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.

You can now check your answers. 50*5 + 35*10=600

That is correct.

I hoped I helped you. I will be really glad, if you mark my answer with brainliest.

3 0
3 years ago
a scientist began a study with a simple of 1,500 bacteria . he noticed that the number of bacteria in the simple after t days ca
Aneli [31]

Answer:

the variable

Step-by-step explanation:

7 0
3 years ago
Find -40/-2 pleasseeee
mario62 [17]

Answer:

20

Step-by-step explanation:

positive not negative

6 0
2 years ago
Other questions:
  • The area of a parallelogram is 96 cm2. The height of the parallelogram is 4 cm less than the length of the base. What is the len
    15·2 answers
  • The tens digit of a certain number is five more than the units digit. The sum of the digits is 9. Find the number. Help! I need
    8·1 answer
  • How many square feet of outdoor carpet will we need for this hole?
    10·1 answer
  • Find the radius of a sphere with a volume of 2, 304π cubic feet.
    6·1 answer
  • Plsssss help me, It says find the area
    15·2 answers
  • Frank has a student loan of $55,780.
    10·1 answer
  • Which ordered pair is a solution to the system of equations?
    12·1 answer
  • How were the policies of President Kennedy and President Johnson similar and different?
    8·1 answer
  • Can someone help me with this?​
    7·1 answer
  • HELPPPP ASPAPPPP PLEASEEEE !!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!