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zhannawk [14.2K]
3 years ago
6

Need Help solving this , pic of question

Mathematics
1 answer:
Mama L [17]3 years ago
7 0
<h3>Answer:</h3>

Length: 12 yd

Width: 5.5 yd

<h3>Explanation:</h3>

Let x represent the width of the rectangle in yards. Then 2x+1 can represent the length (double the width plus 1 yard). The area is the product of length and width so we have the relation ...

... x(2x+1) = 66

... 2x² +x -66 = 0

This can be solved using any of several methods. One of them is to factor the equation. To do that, we can look for factors of 2·66 = 132 that differ by 1. Since 132 = 11·12, those are the numbers we're looking for. Then ...

... 2x² +12x -11x -66 = 0 . . . . use our found numbers to rewrite the x term

... 2x(x +6) -11(x +6) = 0 . . . . .factor by grouping

... (2x -11)(x +6) = 0

... x = 11/2 or -6 . . . . . values that make the factors zero. Only the positive value is a useful solution.

... The width of the rectangle is 5.5 yards. Its length is 2·5.5+1 = 12 yards,

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Write 2.7 x 10^4 + 120 in scientific notation.
ryzh [129]

Hey there!

2.7 * 10^4 + 120

10^4

= 10 * 10 * 10 * 10

= 100 * 100

= 10,000

2.7 * 10,000 + 120

= 27,000 + 120

= 27,120

Therefore, your answer is. [10,000 * 2.712] because 10,000 * 2.712 is approximately 27,120

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
2 years ago
Which of the following options have the same value as 2% of 90? Choose 2 answers: А 0.2.90 B 0.02.90 200.90 2.90 E 2 . 90 100​
Wewaii [24]

Answer:

0.02.90 and 2.90

Step-by-step explanation:

2% of 90 equal to both 0.02.90 because are worth same.

7 0
3 years ago
3 - 5y = -37 for math 8th
hram777 [196]

Answer:

y = 8

Step-by-step explanation:

Step 1: Write equation

3 - 5y = -37

Step 2: Subtract 3 on both sides

-5y = -40

Step 3: Divide both sides by -5

y = 8

5 0
3 years ago
How many 25 cents are there in $10?​
Mashcka [7]

Answer:

40 quarters are in $10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
g100num [7]
STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
8 0
3 years ago
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