A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this problem

Answers

Answer 1

Step-by-step explanation:

L = length

W = width

L = W + 9

A = 112 = LW = (W+9)W

So,

W2 + 9W = 112

W2 + 9W - 112 = 0

Factoring

(W-7)(W+16) = 0

W = 7, -16

We discard W = -16, since a measurement cannot be negative.

W = 7

And since L = W + 9, then L = 7 + 9 = 16

This is a 16x7 rectangle


Related Questions

What value is missing from the table

Answers

Answer:

C. $15.75

Step-by-step explanation:

If one costs $1.05, 15 would be:

15 (1.05) = 15.75

Answer:

15.75

Step-by-step explanation:

1.05 a gallon times 15 gallons is 15.75

HELP this is due today!!!Use PEMDAS to evaluate the expression 7 x 6 + 8 − 16 ÷ 4. (4 points) 40 42 44 46

Answers

Answer:

46

Step-by-step explanation:

7 x 6 + 8 − 16 ÷ 4

42+8-16 ÷4

42+8-4

50-4

46

Answer:

46

Step-by-step explanation:

the answer is 46 may i be marked brainliest?

What is the volume of composite shape to the nearest whole number?

please help

Answers

The answer is 52 in

Step-by-step explanation:

answer is 52

i hope this helps

A loss of $13.50 on a washing machine represents 15% loss on the selling price. what is the selling price?

Answers

Answer:

$90

Step-by-step explanation:

Given data

Given data

Loss= $13.5

Percentage of the loss= 15%

Let the full loss be x

Hence we can find the value of x as

15/100*x= 13.5

0.15x= 13.5

divide both sides by x

x= 13.5/0.15

x= $90

Hence the loss in full is $90

what is 26 x4 hurry ii need it nowwwww

Answers

104

6 x 4 = 24
20 x 4 = 80

80 + 24 = 104.

BOOM MAGIC

the answer is 104 hope it helps

Solve the inequality.
5q + 22-13

Answers

Answer:

The answer is 5q + 9.

Step-by-step explanation:

1) Collect like terms.

[tex]5q + (22 - 13)[/tex]

2) Simplify.

[tex]5q + 9[/tex]

hence, the answer is 5q + 9.

Antonio buys 2.25 pounds of grapes at the store. The grapes are on sale for $1.20 per pound. How much will Antonio pay for the grapes?

Answers

Answer:

$2.70

Step-by-step explanation:

Gerri is working on a project that needs to be halfway completed by Friday. So far, she has completed of the project. How much of the project does she have to finish by Friday?

Answers

Answer:

So far Gerri is 1/3 complete and needs to be 1/2 complete by Friday. In order to find how much needs finished by Friday, we subtract the fractions.

1/2 - 1/3

1/2 + (-1/3)

3/6 + (-2/6)

(3+(-2))/6

1/6

Hope this helps

Which only lists multiples of 16? *
Mark only one oval.
1, 2, 4, 8, 16
16, 24, 32, 40
16, 32, 48, 64

Answers

1,2,4,8,16 is your answer
1,2,4,8,16 is the correct answer
good luck

Please help!

Which expression is equivalent to (1/2x+6)-(1/4x+2)?

A. 1/4 x - 4
B. 1/4 x + 4
C. 3/4 x - 4
D. 3/4 x + 4

Answers

Answer:

Choice B. 1/4 x + 4

Step-by-step explanation:

(1/2x+6)-(1/4x+2)

1/2x + 6 - 1/4x - 2

1/2 = 2/4

combine same values

1/4 x + 4

The answer to this is b

Rafael's salary last year was $49,500 and he took home
$38,610. What was his federal income tax withholding
rate?

Answers

can you give more information ?

I need this assignment done will give brainliest and extra points.

Answers

Answer:

1a.2.5x³-2.25x²+3.5x-1.5

1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)

2a.-2x⁶+7x⁴+3x³-3x²+11x+20

2b.Yes. When multiplying, it doesn't matter which term/expression you put first

3. The equation has two solutions: x=-2, x=3

Step-by-step explanation:

1. (a)

(0.5x-0.25)(5x²-2x+6)

0.5x(5x²-2x+6)-0.25(5x²-2x+6)

2.5x³-x²+3x -1.25x²+0.5x-1.5

2.5x³-2.25x²+3.5x-1.5

(b)

(0.25x-0.5)(5x²-2x+6)

0.25x(5x²-2x+6)-0.5(5x²-2x+6)

1.25x³-0.5x²+1.5x -2.5x²+x-3

1.25x³-3x²+2.5x-3

This is not equal to our answer for 1(a), so we can see they're not the same.

2(a)

(-2x³+x-5)(x³-3x-4)

-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)

-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20

-2x⁶+7x⁴+3x³-3x²+11x+20

(b)

Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.

3

2x²-2x-12=0

(divide each term by 2)

x²-x-6=0

(x+2)(x-3)=0

Anything multiplies by zero is zero, so either x+2=0 or x-3=0

If x+2=0, x=-2. If x-3=0, x=3.

The equation has two solutions: x=-2, x=3

Two numbers total 51 and have a difference of 23. Find the two numbers?

Answers

Answer:

14 and 37

I just kept checking all the pairs I could think of until I got to this answer.

Given m∠3+m∠8=180° .

Answers

Answer:

5.175117

Step-by-step explanation:

The diameter of a cake is 7.8 inches. What is the area of the cake?

Answers

A = πr^2
The radius is half of the diameter.
r = 7.8 / 2
r = 3.9

A = π(3.9)^2
A ≈ 47.78

Answer:

A = 12.25 sq inches

Step-by-step explanation:

A = (7.8/2)²π

A = 3.9²π

A = 12.25 sq inches

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts

Answers

Answer:

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donuts

Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to

If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.

What is binomial distribution ?

The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).

E(X) = np

Given that,

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.

If 10 donuts are sold.

Then the number of the sprinkles would be

The probability would be

p = 3/6

p = 0.5

n = 10

Now,  the expected value of the number of the sprinkles will be

E(x) = 10 x 0.5

E(x) = 5

Hence, the number of sprinkles is 5

To know more about Binomial distribution check:

https://brainly.com/question/14565246

#SPJ6

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. You ask a friend to pick one without looking. What is the
probability that he picks one that is not red?

Answers

he’ll probably pick the blue marble

Answer:

8/12

5 (blue) +3 (orange) +4 (red) =12 (total)

5 (blue) +3 (orange)=8 (number of marbles that aren't red) or 12 (total) - 4 (red marbles)=8

or 66.6667%

If the radius of a circle is 2.6 inches, what is the diameter of the circle?

Answers

Answer:

5.2

Step-by-step explanation:

radius is half the diameter

Answer:

5.2in

Step-by-step explanation:

The lengths of the legs of a right triangle are 8 inches and 9inchrs. What is the length of the hypotenuse round to the nearest inch

Answers

Answer: Hypotenuse is 12 inches

Step-by-step explanation: a^2+b^2=c^2

c^2=8^2+9^2

c^2=64+81

c^2=145

c=square root of 145

c=12.04

can u plz help me!? i need help

Answers

the answer is 4 buses

Step-by-step explanation:

because you multiply 30 times 4 and it gives you you the right answers

Yea what he siad sorry just answering because I need to ask

A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?

Answers

the bed would cost $324.19 hope this helps!

1. Answer the following questions related to purchasing a car.
a. You need to buy a vehicle. The information from the vehicle sticker is
listed below to calculate the negotiated price. (5 points)
2021 Subaru Forester
Retail Price $24,705
Delivery Fee $221
Keyless Entry $350
Dual AC $550
Tinted Windows $500
b. Once you have the correct negotiated price, find the total price with taxes
and fees. You have a registration fee of $150 and 5% tax to pay in addition
to the negotiated price. (10 points)

Answers

It is delivery free 221

There were 650 fruit in a fruit stall. 62% of the fruit were sold. How many fruit were left?

Answers

Answer:

62/100 multiplied by 650 which is 403 fruits left

There will be 247 fruits left

14/7 = n/21 what is the value of n

Answers

Answer:

n=42

Step-by-step explanation:

14/7=n/21

2=n/21

42=n

n=42

Answer:

n = 42

Step-by-step explanation:

14/7 = 2

42/21 = 2

Solve for a side in right triangles

Answers

You didn't put the picture

Is this relationship proportional or non proportional

Answers

Non-proportional because all the dots are scattered I believe a proportional chart will have a straight line please correct me if I’m wrong :)

What is the value of x when the Richter
scale rating is 4.37 Round your answer
to the nearest hundredth.

Answers

12589.25
Step by step explanation:
It’s correct on Plato

3) A basketball player averaged 17.3 points per game during his collegiate career. He played in 148
games total. How many points did he score while in college? Round to the nearest whole
number.
a. 2000
b. 2500
c. 2560
d. 2560.4
THIS IS FOR A TEST

Answers

I would say d sorry if wrong

-8 * f(0) + 4 * g(-8)

Answers

The value of the expression -8 * f(0) + 4 * g(-8) is -60

Complete question

If the following equations represent the functions f(x) and g(x).

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate the value of -8 * f(0) + 4 * g(-8)

How to determine the value of the expression?

We have:

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate f(0) and g(-8)

f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15

Evaluate

f(0) = 7 and g(-8) = -1

Substitute the above values in the following expression

-8 * f(0) + 4 * g(-8)

So, we have:

-8 * 7 + 4 * -1

Evaluate

-60

Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60

Read more about functions at:

https://brainly.com/question/15602982

#SPJ1

Answer:

-32

Step-by-step explanation:

khan academy said so

Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.

Answers

Answer:

The proportion of arriving customers that get taxis is:

= 33%.

Step-by-step explanation:

Rate of arrival of taxis = 1 per minute

In one hour, the number of taxis arriving = 60 (60/1)

Rate of arrival of customers = 3 per minute

In one hour, the number of customers arriving = 180 (60 * 3)

The proportion of arriving customers that get taxis = 60/180

= 0.333

= 33%

b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive.  Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.

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