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Karo-lina-s [1.5K]
3 years ago
12

The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe

et, the area will remain the same. Set up an equation to find the answer. Give detail.
Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0
X(x+8)=(x+4)(x+3)
x^2+8x=x^2+7x+12
x=12
original length = 20
original width = 12
next length = 15
next width = 16
You might be interested in
Solve the following simultaneous linear equations.<br>2x + y = 5<br>4x – 3y = -10​
Jet001 [13]

Answer:

(1/2,4)

Step-by-step explanation:

First, determine y in first equation: 2x+y=5 or  y=5-2x

replace value of y determined in first equation (5-2x) into 2nd equation    

4x-3(5-2x)=-10

4x-15+6x=10

10x=5

x=1/2

put value of x into either equation to solve for y so

2(1/2)+y=5

1+y=5

y=4

answer: x=1/2, y=4

check answer by substituting x and y into either equation:

4x-3y=-10

4(1/2)-3(4)=-10

2-12=-10

-10=-10

or

2x+y=5

2(1/2)+4=5

1+4=5

5=5

7 0
3 years ago
From $16 to $4 decreased
GREYUIT [131]

Answer: $12

Step-by-step explanation: 16 - 4 = 12

6 0
3 years ago
Read 2 more answers
5/8(x-1/3)=5/12 can someone help me figure out what x is?
eimsori [14]
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer:  x = 1
3 0
3 years ago
This is my question! ​
tatuchka [14]

Answer:

J

Step-by-step explanation:

mode = 56

mean = 37.4

median = 35

6 0
3 years ago
Can you help meee get this ?
nikdorinn [45]

Answer: y=4/5x-2 or y=4/5x+(-2)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b.

To find the slope, we can use the formula m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } and plugging in the points given.

m=\frac{6-2}{10-5} =\frac{4}{5}

We know our slope is 4/5. We can plug this into our slope-intercept form and then plug in a point to find b, y-intercept.

y=\frac{4}{5} x+b

2=\frac{4}{5}(5)+b

2=4+b

b=-2

We know the y-intercept is -2.

THe final equation is y=4/5x-2 or y=4/5x+(-2).

4 0
3 years ago
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