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zzz [600]
3 years ago
9

the length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 77ft. Find the dimensions of the r

ectangle.
Mathematics
1 answer:
gladu [14]3 years ago
3 0
Let x = width
2x + 3 = length

Area of rectangle is length times width

x(2x + 3) = 77
2x² + 3x = 77
2x² + 3x - 77 = 0
2x² + 14x - 11x - 77 = 0
2x(x + 7) - 11(x + 7) = 0

(2x - 11)(x + 7) = 0

x = 11/2, - 7

Distance/measurements can't be negative so x = 11/2

The length:
2(11/2) + 3
11 + 3
14

Your width is 11/2 feet and your length is 14 feet. 
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12 + m < -6 how many solutions
kodGreya [7K]

Answer:

m<−18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

m+12<−6

Step 2: Subtract 12 from both sides.

m+12−12<−6−12

m<−18

8 0
3 years ago
A room is 4.5 meters wide. How wide is the room cm
Andrej [43]
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3 years ago
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Can someone explain please?
Paul [167]

Answer:

- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x

- $130 can travel 181.32 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.34 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.34 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

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$130 = $39.34 + $0.50x

$130 - $39.34 = $0.50x

$90.66 = $0.50x

x = $90.66/$0.50

x = 181.32

Hence, $130 can travel 181.32 miles

7 0
3 years ago
A box turtle marcos found is 0.115 of a meter long. what is this length in expanded form?
egoroff_w [7]

0.1+0.01+0.005 hope this helps

5 0
3 years ago
Read 2 more answers
PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!
Greeley [361]
Z=82 vertical or opposite angle theorem
15x-7 + 82=180 supplementary angles theorem
so 15x +75 =180
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x=105/15
x=7
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