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pishuonlain [190]
3 years ago
12

Solve the following problems.

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

(a) 38 inches (b) 374 inches (c) 3564 inches (d) 6273767 square inches

Step-by-step explanation:

<em>a) 2 ft 5 inches + 9 inches</em>

<em>Convert to inches</em>

1 feet = 12 inches

2 feet = 12 x 2 inches = 24 inches

24 inches + 5 inches + 9 inches = 38 inches

<em>b) 4 yards 8 inches + 6 yards 6 inches</em>

<em>Convert to inches</em>

1 yard = 36 inches

4 yards = 36 x 4 = 144 inches

<u>144 inches + 8 inches = 152 inches</u>

6 yards = 36 x 6 = 216 inches

<u>216 inches + 6 inches = 222 inches</u>

152 inches + 222 inches = 374 inches

<em>c) 29 yard 2 feet 11 inches + 55 yard 1 feet 10 inches + 13 yard 1 feet 3 inches</em>

<em>Convert to inches</em>

<em>29 yard 2 feet 11 inches</em>

1 yard =  36 inches

29 yards = 36 x 29 = 1044 inches

1 feet = 12 inches

2 feet = 12 x 2 = 24 inches

<u>1044 + 24 + 11 = 1079 inches </u>

<em>55 yard 1 feet 10 inches</em>

1 yard = 36 inches

55 yards = 26 x 55 = 1980 inches

1 feet = 12 inches

<u>1980 + 12 + 10 = 2002 inches</u>

<em>13 yard 1 feet 3 inches</em>

1 yard = 36 inches

13 yards = 13 x 36 = 468 inches

1 feet = 12 inches

<u>468 + 12 + 3 = 483 inches</u>

1079 + 2002 + 483 = 3564 inches

d) <em>4,839 sq yard 8 sq feet 139 sq inches + 7 sq feet 124 sq inches</em>

<em>Convert to square inches</em>

<em>4,839 sq yard 8 sq feet 139 sq inches</em>

1 square yard = 1296 square inches

4839 x 1296 = 6271344 square inches

1 square feet = 144 square inches

8 x 144 = 1152

<u>6271344 + 1152 = 6272635 square inches</u>

<em>7 sq feet 124 sq inches</em>

7 x 144 = 1008

<u>1008 + 124 = 1132 square inches</u>

1132 + 6272635 = 6273767 square inches

!!

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Karolina [17]

Answer: width:60.2 cm

Length: 64.2 cm

Step-by-step explanation:

Given

The area of the rectangle is 3990\ cm^2

Width of the rectangle is x\ cm

Length of the rectangle is x+4\ cm

Area of the rectangle is the product of length and width

\therefore 3990=(x+4)x\\\Rightarrow 3990=x^2+4x\\\Rightarrow x^2+4x-3990=0\\\Rightarrow x=60.198\ or\ -65.198\ cm\\\text{Neglecting negative term}\\\Rightarrow x=60.198\approx 60.2\ cm

Width of the rectangle is 60.2\ cm

Length of the rectangle is 60.2+4=64.2\ cm

6 0
3 years ago
Geometry question number 21
Pie

Step-by-step explanation:

1st) Distribute 8 with x and 8 with -1 which will give you

8x-8=5x-35

2nd) Use opposite operation and add 8 both sides

8x-8=5x-35

+8 +8

---------------

8x=5x-27

3rd) subtract 5x from both sides

8x=5x-27

-5x= -5x

_______

3x=-27

4th) Divide 3 from both sides so -27 by 3

3x=-27

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3 3

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4 0
3 years ago
Answer choice D.) is DE/DF <br> Please help, serious answers
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Ef/df
is completely correct
7 0
4 years ago
Resolva a seguinte equaçao -8x-13 = 3 por favor preciso da conta
CaHeK987 [17]
Hello,

Here is your answer:

The proper answer to this question is "x-=2".

-8x-13=3

Add 13 both sides:

13+3=16

Divide 8 on both sides:

16/8=2

X=2!

If you need anymore help feel free to ask me!

Hope this helps!
8 0
3 years ago
Kelka's family drove to Long Island. They drove 1 1/2 hours to get there. The return trip only took 3/4 of the time of the origi
Anton [14]

The trip was 6 hours long.

Step-by-step explanation:

Given,

The time to go to the island = 1\frac{1}{2} hours.

The return trip took 3/4 of the time of the original trip.

To find the time of the trip.

Let,

The time of the original trip is x hours.

The time for returning = \frac{3x}{4}

According to the problem,

1\frac{1}{2} +\frac{3x}{4} = x

or, x - \frac{3x}{4} = \frac{3}{2}

or, \frac{x}{4} =  \frac{3}{2}

or, x =  \frac{3}{2}×4 = 6 hours

Hence,

The trip was 6 hours long.

6 0
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