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DochEvi [55]
3 years ago
7

There are many numbers that divide 109 with a remainder of 4. List all two-digit numbers that have that property.

Mathematics
2 answers:
SVEN [57.7K]3 years ago
8 0
All 2 digit numbers that are factors of 105 (109-4):

15
21
35
VMariaS [17]3 years ago
8 0
I agree with him or her
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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 plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trap
jolli1 [7]

Answer:

90 approximately because if AB is 80 then DC should be 90 because AB come before DC in letters

6 0
1 year ago
PLEASE HELP! WILL MARK BRAINLIEST!
Serga [27]

answer:

its answer 4. or D.

x = 5.33

6 0
3 years ago
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5 points
saw5 [17]
B.30




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