A rectangle has a length of 28 feet less than 6 times its width. If the area of the rectangle is 48 square feet, find the length of the rectangle.
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Answers

Answer 1

Answer:

length = 8

Step-by-step explanation:

l x w = 48

let l = 6w - 48

x(6w - 28) = 48

6w² - 28w - 48 = 0

(6w + 8) (w - 6) = 0

w = 6

l = 6(6) - 28 = 36 - 28 = 8


Related Questions

Please help due in 5 minutes

Answers

Answer:

It would take 54 minutes.

Step-by-step explanation:

Since the miles are divided by 9 and it takes Molly 6 minutes to run 1/9 of a mile, you would multiply 6 by 9.

6x9 = 54

It would be 54 minutes! I hope this helped

If m<13=m<15=m<7, what conclusions can you make about lines a, b, c, and d?

•Only lines a and b are parallel.
•Only lines c and d are parallel.
•Lines a and b are parallel, and lines c and d are parallel.
•No conclusions can be made.

Answers

Answer:

Lines a and b are parallel, and lines c and d are parallel.

Step-by-step explanation:

1. Which refers to the changing of variable parameters?
C. Variation
C. Variable
D. Variety
D. None of the above

Answers

Answer:

i just think variable

Step-by-step explanation:

Please help me answer these two questions!!

Answers

What grade u in??? Lil girl

Jenny has $1,200 in her savings account. If the bank pays 3% interest per year on savings, how much interest does she earn in one year? A.$36 B.$360 C.$3.60 D.$3600

Answers

Given:

Principal value = $1200

Rate of interest = 3% per year

To find:

The interest earned by Jenny in one year.

Solution:

Formula of interest:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is rate of interest and t is time.

We have, P = 1200, r = 3, t=1. Putting these values, we get

[tex]I=\dfrac{1200\times 3\times 1}{100}[/tex]

[tex]I=\dfrac{3600}{100}[/tex]

[tex]I=36[/tex]

The interest earned by Jenny in one year is $36.

Therefore, the correct option is A.

Factorise each of the following expressions
a) x2 + 5x + 6
d) z2 + 8z + 12

Answers

Answer:

a)x2+5x+6

x2+(3+2)x+6

x2+3x+2x+6

x(x+3)+2(x+3)

(x+3)(x+2)

b)z2+8z+12

z2+(6+2)z+12

z2+6z+2z+12

z(z+6)+2(z+6)

(z+6)(z+2)

A farmer raises sheep. The number of sheep in his flock changes from year to year. The number can be represented by the equation S=24(1.05)t where S is the total number of sheep in his flock and t is the number of years since he first started raising sheep. Which statement best explains the change in the number of sheep?

Answers

Answer:

It increases by 5% each year

Step-by-step explanation:

The function, S=24(1.05)t, models change in the Number of sheep over time, t.

The function represents an exponential growth model:

The function could be rewritten in the general form ;

y = Ab^x

y = number of comocafter t years

b = increase in initial amount ; b = (1 + x)

Comparing the function :

b = 1.05

b = 1 + r ; where r = rate

1.05 = 1 + r

r = 1.05 - 1

r = 0.05 = (0.05 * 100%). = 5%

It increases by 5% each year

A line passes through (8,-4) and has a slope of 3. What is the equation of the line?

Answers

Answer:

3x-y=28

Step-by-step explanation:

Point slope form:

y-y1=m(x-x1) where, (x1,y1) is the point given and m is the slope.

Answer:

y = 3x - 28

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (8, - 4) into the partial equation

- 4 = 24 + c ⇒ c = - 4 - 24 = - 28

y = 3x - 28 ← equation of line

Select the equation that has a = 112 as its solution.

Answers

Answer:

Where are your equations?

Step-by-step explanation:

Mr. Richards purchased 8 T-shirts for the volleyball team. The total cost of the T-shirts was $70.56. How much did each shirt cost?

Answers

Answer:

$8.82

Step-by-step explanation:

$70.56÷8 =$8.82 total

Answer:

$8.82

Step-by-step explanation:

The total cost of the T-shirts was 70.56. Each T-shirt is equal in money, so what you need to do is divide the total cost by the number of T-shirts.

70.56 / 8 = 8.82

Each T-shirt cost $8.82

18 What is the equation of the line that is perpendicular to y = -x – 10 and contains point (-12, 1)? A y = X - 8 B y = - 15 C y = -x - 8 D y = 3*+ 17​

Answers

Answer:

The equation of the line that is perpendicular to y = -x – 10 and contains point (-12, 1)

[tex]y=x+13[/tex]

Please note there is something wrong with the  values given question. This is correct answer.

Step-by-step explanation:

Slope of line y = -x – 10 is m1=-1

Since slope of perpendicular lines are negative reciprocal of each other

Slope of other line is m2=1

Equation of line contains point (-12, 1) and having slope m2=1 is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1 = 1(x+12)[/tex]

[tex]y =x+12+1 \\y = x + 13[/tex]

Write each number in scientific notation

There are about 33,400,000,000,000,000,000,000 molecules in 1 gram of water

There are about 25,000,000,000,000 red blood cells in the human body

Answers

Look at the picture I put. I hope that helps you!

Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 6 yards of fabric, plus 15% extra fabric.
Derek bought 5 yards of fabric, plus 30% extra. Who bought more fabric? How much more?

Answers

Answer:

Jessica bought more fabric

Step-by-step explanation:

15% of 6 is 0.9 and 30% of 5 is 1.5 so 6+0.9 = 6.9 and 5+1.5 = 6.5 so Jessica bought 0.4 yards more than Derek.

Solve this system by substitution 7x-y=3
y=x+3​

Answers

Answer:

7x-y=3 (1)

y=x+3​ (2)

Replace y = x + 3 in (1) => 7x- (x + 3) = 3

=> 6x-3 = 3 => x = 1 => instead of (2) => y = 4

So: x = 1, y = 4 is the solution of the system of equations

Step-by-step explanation:

Plz help would mean a lot.....thanks ❤️

Answers

Answer:

7-s/3=2

6=7-s

-1=-s

s=1

Give brainlist

Simplify the expression:
25 - 3(5x - 6) - 22x

Answers

Answer:

yup

Step-by-step explanation:

can someone rewrite 6x + 2y = -144 as a slope intercept equation?

Answers

Answer:

y = -3x -72

Step-by-step explanation:

[tex]6x+2y=-144\\\\2y=-6x-144\\\\y=\frac{-6}{2}x-\frac{144}{2}\\\\y=-3x-72[/tex]


Are these figures similar?
yes or no

Answers

Answer:

Step-by-step explanation:

No

No they at least need to be the same sides

Chantou pays $525 for rent every month. How much rent does she pay in one year?

Answers

630
There are 12 months in a year so you times 525 by 12

Answer:

I think the answer might be $6,300, but I'm not sure

Step-by-step explanation:

As you might know 1 year in months is 12 months, so I multiplied $525 times 12 and got $6,300, so that's how I got that answer

2 of 6
Caroline and Sarah are marking exam papers.
Each set takes Caroline 89 minutes and Sarah 2 hours.
Express the times Caroline and Sarah take as a ratio in its simplest form.

Answers

Answer:

89:120

Step-by-step explanation:

convert the both times to minutes

2 hours is 120 mins

89:120

both divisible by 1

89:120

it cant be simplified further

Function f is defined by equation:
2
1.) What is f(2)?
2.) What is f(3)?
HELP PLS

Answers

Answer:

f(2) = 4

f(3) = 9

Step-by-step explanation:

a function means you are supposed to input the given number into the statement you have been given, I hope it makes sense.

D. Describe why this statement is false.
"75% of the days had 20 or more parts per million of pollution."

Answers

Answer:

59%

Step-by-step explanation:

There are 7 days out of 14 that are 20 or more

That would be 59%

John has $200 in his savings account. He deposits $50 each week. What is the rate of change?

Answers

Answer:

50

Step-by-step explanation:

It would be plus 50

51^2 + 49^2 solve using identity
Pls answer fast

Answers

Answer: = 5002

Step-by-step explanation:

Line NO is tangent to the circle at N and the measure of arc LM is 88°.
What is the measure of MNO?
OA. 46°
ОВ.
134°
OC. 2°
OD 89°

Answers

Answer:

134

Step-by-step explanation:

plato

If 10,50,80 and x are in proportion,find the value of x​

Answers

Given :

10,50,80 and x are in proportion.

To Find :

The value of x​.

Solution :

It is given that 10,50,80 and x are in proportion.

It means that 10,50 and 80, x are same ratio.

[tex]R = \dfrac{10}{50}=\dfrac{80}{x}\\\\x = 400[/tex]

Therefore, the value of x is 100.

DeAndre says that when you divide one number by another number, the first number always gets smaller. Do you agree with him?

Answers

yes because dividing a number is basically splitting that number into smaller groups and the 1st number will always get smaller dividing always is smaller
Yes I agree because dividing a bigger number into something else the number will get small

The big dog weighs d pounds and the puppy weighs half the pounds write an expression to represent the weght of the puppy

Answers

Answer:

Step-by-step explanation:

d +   d

        _

        2

-2x10 + 5x6 – 4x3 + 7 Potential zeros

Answers

Answer: 27

Step-by-step explanation:

(2×10+5×6×0×3)+7

(20+5×6×0×3)+7

(20+30×0×3)+7

(20+0×3)+7

(20+0)+7

20+7

27

algebra!!! Find each quotient

Answers

Here are the first five!

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