the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

Answer 2
equation 1 is 2W - 6 = L
equation 2 is 140= W * L

L=10
W=8

Related Questions

Solve the system. y = -x + 3 and y = 2x
the solution is (__,__).
Explain your choice of method.

Answers

Answer: (1, 2)

which means

x = 1

y = 2

Step-by-step explanation:

y = -x + 3

y = 2x

Because both equations are set equal to y, they can be set equal to each other. The equations are ready to go to use Substitution method.

Substitute.

-x + 3 = 2x

Add x to both sides.

3 = 3x

Divide by 3.

3/3 = x

1 = x

We can put the 1 in for x in either equation.

y = 2x

y = 2(1)

y = 2

Putting x for 1 into the other equation is a good check.

y = -x + 3

y = -1 + 3

y = 2

So the x and y that work in both of these equations is:

x = 1 and y = 2

The form that was asked for was ( , ).

So the answer is

(1, 2).

Answer: 1, 2

Step-by-step explanation:

PLZZ HELP ME WITH THIS

Answers

The answer is 1/3 we know this because 3/9 is = to 1/3
If she uses 3 cups of blue for every 9 cups of yellow that is 1/3.
Answer: 1/3

Answer ASAP
Please....

Answers

Answer:

The picture is blurry can u send a clear picture

Answer:

For F ( 5,3)

and For E(2,4)

Heeeeeeeeeeeeeeeeeeeeeeeeeeeeelp! PLZ
Thanks!

Answers

Answer:

3.67 or 3.7

Step-by-step explanation:

1+3+1+4+3+6+7+3+5/9

3.67!

Explanation: Add all the numbers up and then divided by the number of how many numbers are there! So 1+3+1+4+3+6+7+3+5! Which is 33! Then since there are 9 numbers total, divide that 9 from 33! And that’s your mean! :)

This should be easy for some people- explain please I’ll give brainliest

Answers

Answer:

F

Step-by-step explanation:

2^5x6=192

Please mark brainliest

Answer:

H

Step-by-step explanation:

they have to be prime numbers and H is the only one that fits

Math probability
Please help

Answers

The answer is 7/17.
Because we have 17 spins and it landed on three 7 times, so 7/17.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

The coordinate plane shows the positions of different places in a town. Each unit on the graph is equal to 1 block. Match the paths with their distances.

13 blocks
9 blocks
7 blocks
16 blocks
10 blocks

from school to the supermarket
from the park to the supermarket
to the baseball field
from home to the baseball field
from home to the park
to the supermarket

Answers

Answer:

a) 7 blocks

b) 16

c) 10

d) 13

giving brainliest for whoever has the most descriptive answer and reasoning for this question. (+five stars)

Answers

Answer:

All properties that were used to simplify the following problem:

1. commutative property of multiplication

2. multiplicative inverse 3. multiplicative identity

What is commutative property of addition?

The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the end result.

The commutative property of addition says that it doesn't matter how we add two numbers, the result of the addition would be same.

For two numbers x and y, we have: x + y = y + x

Thus, if we take 3 numbers as a,b and c;

a + b + c = b + a + c = b + c + a = a + c + b = c + a + b = c + b + a

We have been given an expression;

2/7 • 53 • 7/2

53 • 2/7 • 7/2

53 • 1

53

Then all properties that were used to simplify the following problem:

1. commutative property of multiplication

2. multiplicative inverse

3. multiplicative identity

Learn more about properties of addition here:

brainly.com/question/1709448

#SPJ2

Answer:

b

Step-by-step explanation:

I think I remember how to do this I don’t know but yes it’s is b

An investment of $4000 earns 2% interest compounded annually. What will be the value of the investment in 7 years?

Answers

$4594

a=p(1+r)^t
a=final number
p=principal balance (initial)**without interest**
r=interest rate
t=the amount of time
p=$4000
t= 7yrs
r=2%=0.02
we need to turn 2% into a decimal, to do that you divide 2 by 100 which is 0.02
now we rewrite the equation-
a=4000(1+0.02)^7
a=4000*1.1486

A TV is in the shape of a rectangle. The width of the TV is 57 inches and the height is 32 inches. What is the length of the diagonal of the TV in inches? Round to the nearest tenths.
I need all steps PLZ HELP

Answers

Answer:32.684 inches

Step-by-step explanation:

You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

The coffee shop owner explains that you are paid $18/hour and receive a $125 bonus each month for being manager. If the owner hands you a check for $2,501. How many hours did you work this month​

Answers

Answer:

14

Step-by-step explanation:

You worked 132 hours

(6th grade math) last question (sorry if im asking to much)​

Answers

Answer:

(in the box)

X Y Ordered Pair

4 2 (4,2)

6 3 (6,3)

8 4 (8,4)

10 5 (10,5)

Equation: y=2x

(465+235+286)-89 equals?

Answers

Pemdas means you have to do the parentheses first.
465+235+286=986
Then comes the subtraction
986-89=897

So the answer is 897

Answer: 897

Step-by-step explanation:

(465+235+286)-89= ?

(700 + 286)-89

986-89

897

Only answer if you know the correct answer! Thanks! :)

Answers

Answer:

70

Step-by-step explanation:

y=4. So replace y with 4. Your new equation is:

5 · 4² - 10

You can use basic math to finish the equation.

5 · 16 - 10

80 - 10

70

Answer: 70

Step-by-step explanation:

Substitute 4 for y in the expression (since y = 4)

Use PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

5 * (4)^2 - 10

= 5 * 16 - 10             Evaluate the exponent first

= 80 - 10                 Then multiply 5 and 16

= 70                         Finally, subtract

What is the surface area of the triangular prism?

I need answer ASAP

Answers

Answer: 81 ft^2

Hello! The surface area of the rectangular prism will follow this process:

Right triangle area: (1/2)bh

So that 6ft (4.5ft) = 27ft^2/2; though when one multiplies that by 2 (as there are two right triangles), we get a surface area of 27ft^2.

For the rectangle's area, it's slightly more deviated since each face is different in length: bh

Face 1 = 3ft(7.5ft) = 22.5ft^2

Face 2 = 3ft(6ft) = 18ft^2

Face 3 = 4.5ft(3ft) = 13.5 ft^2

Thus, if we add these all together (27ft^2. + 22.5ft^2 + 18ft^2 + 13.5 ft^2), we get 81 ft^2

need help with this problem

Answers

Answer:

write it can't see image as it's tooo smalllllll

Answer: I think that bob canoed 4 miles to his house.

Step-by-step explanation: The line for 3 miles is to short, and the line for 5 miles seems to long. So, 4 should be your answer.

what are three ratios that are equivalent to 7:9

Answers

14:18, 21:27, and, 28:36

b. What is the ratio in simplest form of the number of votes Derek received to the total number of votes? ß›

Answers

Answer:

11 (: Hope this works

Step-by-step explanation:

Answer

1:5  or 1/5

hope this helps

Please I need help w/ this question!

Answers

Answer:

Marissa did not change the direction of the inequality sign.

Step-by-step explanation:

Hello!

We can solve the inequality as well, and compare our steps to Marissa's to verify her steps.

Solve the inequality:[tex]-\frac x{12} > 7.8[/tex][tex](-12)\frac{x}{-12} > 7.8( -12)[/tex][tex]x < -93.6[/tex]

We have the same number, but a different inequality sign. This is because we have to flip the inequality sign when multiplying and dividing by a negative number.

Therefore, the answer is the last option, Marissa has to flip the inequality sign when multiplying by a negative number.

Marissa did not change the direction

**GIVING HEART + 5 STARS TO WHOEVER ANSWERS FIRST**


please answer this question that's shown on the image!


thank you for at least trying to answer the question/thank you for answering this question!

Answers

The circumference talks about the outside of the circle. So the formula for the circumference of a circle is 2πr (r stands for radius and π is pi. In this case we use 3.14 for pi).

Since the radius is half of the diameter and we know that the diameter of the trashball is 4 in, we half the 4. So the radius of the trashball is 2 in.

Now plug everything in the formula.

2(3.14)(2) = 12.56.

The circumference of the trashball is 12.56 in.

Answer:

The circumference talks about the outside of the circle. So the formula for the circumference of a circle is 2πr (r stands for radius and π is pi. In this case we use 3.14 for pi).

Since the radius is half of the diameter and we know that the diameter of the trashball is 4 in, we half the 4. So the radius of the trashball is 2 in.

Now plug everything in the formula.

2(3.14)(2) = 12.56.

The circumference of the trashball is 12.56 in.

Step-by-step explanation:

can u just give me brainliest

Assume the triangular prism has a base area of 49 cm^2 and a volume of 588 cm^3. Which base side length does the rectangular prism need to have the same volume?

Answers

Answer:

Length = Width = 7 cm

Step-by-step explanation:

katie started taking daily walks. the first week she walked 1/4 of a mile each day. the second week she walked 1/2 of a mile. she increased the distance she walked each week by 1/4 of a mile until she reached her goal of 3 mile walks a day. how many weeks will it take her to reach her goal?
A. 6
B. 9
C. 12
D. 3

Answers

Answer:

C. 12

Step-by-step explanation:

It takes her 4 weeks to walk a mile a day for a week. For 3 miles a day, mulitply 4 by 3 to get 12 weeks.

Give me brainliest please

Katie took c 12 weeks to reach her goal of 3 miles.

can you find the area of C and F?
thank you in advance!
(the screenshots are the shapes and the fill in the blanks)

Answers

C is 30 and f is 24 hope this helps sorry if i am wrong :((


here are some cute dogs to make your day just a bit brighter

ALEKS: Teresa is ordering an ice cream dessert. She must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 2 flavors, and 2 toppings to choose from. How many different ice cream desserts could she order?

Thanks!

(and just a heads up, I'm gonna be asking a whole lot of questions from ALEKS)

Answers

Answer:She could offer 8 different ice cream desserts

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2 x 2 x 2 = 8

Which numbers are irrational? Check all that apply.

Answers

Answer: 3.14,√80, √12 are all irrational.

b d e f are the answers please make me brainliest <3

Plz help thx
​Find the percentage of boxes that contain 48 raisins.
A. 16%
B 20%
C 14%
D 22%

Answers

Answer:

16%

Step-by-step explanation:

first you have to find out how many boxes are in the sample (count the dots - 25) Then you do 4/25 to find the percentage because there are 4 that have 48 raisins (.16) and move the decimal point to the left 2 (multiply by 100)

Answer:

a

Step-by-step explanation:

4 boxes are full of 48 raisins. 25 boxes total.

4/25 = 0.16

Convert 0.16 into a percentage by multiplying by 100.

0.16*100 = 16

so it should be 16%, correct me if wrong though.

It takes 28 pounds of seed to completely plant a 4-acre field. How many acres can be planted per pound of seed? No links. Round to the nearest hundredth.

Answers

Answer: per acre there is 7 pounds of seed per acre  

Step-by-step explanation:

you do 28 divided by 4 to get the pound of seeds per acre giving you 7

Answer:

[tex]\frac{1}{7}[/tex] acres

Step-by-step explanation:

[tex]\frac{1}{28}= \frac{y}{4}[/tex]

28 × y = 1 × 4

28y = 4

28y ÷ 28 = 4 ÷ 28

[tex]y=\frac{1}{7}[/tex]

(BRAINLIEST) Joan and Ernie are earning money for summer camp. Joan receives a $7 weekly allowance plus $6 for each hour she helps her father paint. Ernie writes the equation y = 5x + 7 to represent the relationship between the number of hours he helps his father with yard work and his weekly allowance. Which statement best describes the graphs of their earnings?
A.) The lines have the same slope.
B.) The lines are both proportional.
C.) The lines have the same x-intercept.
D.) The lines have the same y-intercept.

Answers

Answer:

A

If it is right, then give me a brainllest okay?

Write two absolute-value expressions for the distance between "-7" and 5 on a number line. The give the distance between the numbers.

Answers

Answer:

look below!

Step-by-step explanation:

since the absolute value is just the number in positive form, the absolute value for the numbers are

-7: 7               1:1           So, the distance between the numbers is 12; 7+5=12.

-6: 6              2:2

-5: 5              3:3

-4: 4              4:4

-3: 3              5:5

-2: 2

-1: 1

HELP!!! WILL GIVE BRAINLIEST (if I get a link I will eat a Nature Valley bar in your bed)

Study the bar graph we made for Kiran.

1. How can you use the bar graph to find how many classmates Kiran surveyed?

2. What are the top three summer sports in his class?

3. Make at least one other observation, based on the bar graph, about his classmates’ preferred summer sports.

4. Could a dot plot be used to represent Kiran’s data? Explain your reasoning.

Answers

Answer:

1. 30

2. track and field, swimming, gymnastics

3. most classmates didnt like rowing or soccer

4. yes because instead of the bars going up to the number of kids there would be a dot for every kid.

Step-by-step explanation:

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