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wel
3 years ago
12

Will someone help me get this answer? And please explain it.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0
Do the unit rate and simplify it and. or make an equation
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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

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

3 0
3 years ago
A sporting goods store ordered 144 cans if tennis balls
lapo4ka [179]
I need to know the rest of the question in order to help you! :D
7 0
3 years ago
The sum of two numbers is 85. If four times the smaller number is subtracted from the larger number, the result is 5. Find the t
Cerrena [4.2K]

Answer:

the larger number is 69

the smaller number is 16

Step-by-step explanation:

x is the smaller number

y is the larger number

x + y = 85

y - 4x = 5

y = 5 + 4x

x + 5 + 4x = 85

5x = 80

x = 16

y = 69

5 0
3 years ago
The histogram below represents the high temperatures recorded each day over month period. Which of the following statements are
Kisachek [45]

Answer:

See possible solutions below.

Step-by-step explanation:

The statements are not given. But the following can be determined from the graph:

  • More days recorded temperatures between 82 and 84 then other temperatures.
  • The least number of days recorded temperatures between 88 and 90.
  • The histogram is skewed to the right also known as positive skewed distribution.
  • The mean and median will most likely be in the range of 82-84 temperatures. But the mean will be greater than the median.
4 0
3 years ago
4x-y=2 <br>what is the solution ​
Rudiy27

Answer= y=-_

Step-by-step explanation:

y= -2+4x

4 0
2 years ago
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