The area of a rug is 36 one fourth square feet. The rug is 8 three fourths feet long. What is the length of the rug

Answers

Answer 1

Answer: Given:

Area = 36 1/4 = 36.25 ft^2
Length = 8 3/4 = 8.75 ft

Unless this is a trick question, where the length can be found in the given values of the problem (where the answer would simply be L = 8.75ft), let us solve for the missing measurement, which is the width. A rug is rectangular, so to obtain the width, the area must be divided by the length. This is shown below:

Width = Area / Length
Width = 36.25 / 8.75
Width = 4.14 ft.

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Simplify the expression: -8(-8a - 9)

Solve using substitution. (C&D)
2C+3D=1
-3C+D=15

Answers

Equation 2
-3c+d=15
d=15+3c

Substitute into eq 1
2c+3(15+3c)=1
2c+45+9c=1
11c=-44
c=-44/11

c=-4

Sub into eq 1

2(-4)+3d=1
-8+3d=1
3d=9
d=9/3

d=3

Verify:
2(-4)+3(3)=1
-8+9=1
1=1 -- True.

2c + 3d = 1 ⇒ 2c + 3d = 1 ⇒ 2c + 3d = 1
-3c + d = 15 ⇒ 3(-3c + d) = 15 ⇒ -9c + 3d = 15
   -7c = 16
   -7c = 16
   -7 - 7
   c = -2 2/7
   2(2 2/7) + 3d = 1
       4 4/7 + 3d = 1
      -4 4/7    -4 4/7
   3d = -3 4/7
   3d = -3 4/7
      3 3
   d = -1 4/21
   (c, d) = (-2 2/7, -1 4/21)

Solve for W.

-4(w +1) = -24

W=

Answers

Answer:

w = 5

Step-by-step explanation:

-4(w + 1) = -24

(w + 1) = -24/-4

(w + 1) = 6

w = 6 - 1

w = 5

*negative ÷ negative = positive*

a vertical pole 5 feet long cast a shadow of 2 feet. if at the same time a nearby tree casts a shadow of 10 feet, how tall is the tree?

Answers

The tree is 25 feet log becuase the shadow of the tree is 5 times bigger than the shadow of the pole so the tree should be 5 times bigger than the vertical pole which is 5 feet long.

If mAC=178 degrees, and mBC=42 degrees, what is m angle BDC?

Answers

The measurement of angle BDC is 44 degrees. This can be computed by subtracting 178 degrees from 180 degrees which is 2 degrees. Then using the given mBC which is 42 degrees add this to the 2 degrees which came from the difference computed above. Then it will give us the answer of 44 degrees.

Can you please answer this question

-12+(-66)+48 and how

Thanks in advance

Answers

Answer:

-30

Step-by-step explanation:

so we will write the -12 as it is then multiply the positive sign by the negative sign of the num 66 (bc there are paranthesis around the number) it will be - sign (example 2+(-6) is equal to -4 and because the negative sign over powers the positive sign) then we will write the +48 as it is so it will be -12-66+48 = -30 (answer is negative bc its the sign of the biggest number)

really hope this helped and good luck!

If y is directly proportional to x and if y = 20 when x = 6, what is the value of y when x = 9 ? (A) 10/3
(B) 40/3
(C) 23
(D) 27
(E) 30

Can someone explain this one for me?

Answers

E - 30. From 6 to 9 is increase of 1.5times

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