The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.

Answers

Answer 1

Answer:

30x² − 23x − 14

Explanation:

Area = Length · Width

Length: (6x - 7)

Width: (5x + 2)

Create An Equation

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

30x² − 23x − 14

- PNW


Related Questions

Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces

Answers

Answer:

More

Step-by-step explanation:

If we divide 30 by .25 we will get 120

Use basic facts and place value to find the quotient.
450 • 9 =
Your answer

Answers

Answer is 50 because if you going divide by 9 and also you can factor it with 5 also.

what is the additive inverse of the complex number -8+3i​

Answers

Answer:

8-3i

Step-by-step explanation:

additive inverse of a+bi is -(a+bi)

so -(-8+3i) -- distribute negative through ()

8-3i

.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.

Answers

Answer:

[tex]x=131.25[/tex]

Step-by-step explanation:

[tex]0.3x+0.65*175=0.5(x+175)[/tex]

[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)

[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)

[tex]-0.2x+113.75=87.5[/tex] (Simplify)

[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]-0.2x=-26.25[/tex] (Simplify)

[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=131.25[/tex] (Simplify)

Hope this helps!

Write an integer for deposit of $100

Answers

Write an integer for deposit of $100:

-$100

Please show work so i know how you got your answer..thank you and have a nice day<3

Answers

Answer:

V=whl=2·2.5·4=20

Step-by-step explanation:

Answer:

2880 feet³

Step-by-step explanation:

since the question is asking for cubic feet we know we're finding volume.

v=l·w·b

v=4·24·30

=2880

Plz help me! I’m not sure how to do these!

Answers

Answer:

Step-by-step explanation:

Wait where is the picture

Which of the following lines goes through the point (0,4) and is parallel to y = 5 x - 3?
M
O =
y = 5 x + 4
W
y= 5 x-7
y = -5 X-3​

Answers

Correct Answer: y=5x+4 it is parallel to y=5x-3 and it goes through point (0,4)

y=5x-7 is also parallel to y=5x-3 although it doesn’t go through point (0,4)

y=-5x-3 is obviously not parallel to y=5x-3 because it intersects to it

Out of these, which is not an inequality?

a. 435 ≥ 5p + 4

b. g - 7 < 100

c. 18x + 9y

d. a > 6b​

Answers

Answer:

C. 18x+9y

Step-by-step explanation:

Answer:

I think its the third one, C. Hope this helps!

By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?

Answers

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza  = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90  (Subtracting the equations)

3x - z = 810  (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602  (equation 5)

Solving equation 4 and equation 5

3x - z = 810  therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602  

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

Pls help 20 points this question is for my friend

Answers

Answer:

750 cubic feet

Step-by-step explanation:

please help meeeeeeeeeeeeeeeeeeee

Answers

Answer:

It took more than 3 hours

Step-by-step explanation:

Because 4/4 is 3 hours if it is higher then that is is more than 3 hours.

The equation S = 50 + 45w represents the savings, S, after w weeks working and
depositing (putting in) money into a savings account at the bank.
Determine whether there is a proportional relationship between S and w.
Explain your reasoning.

Answers

Answer:

yes

Step-by-step explanation:

50 can be the initial money in the account and she can be depositing 45 dollars every (w) weeks and it will show her (S) savings

Which expression is equivalent to 2(3 - x) - 12 + 4x

1. 3x - 6

2. 3x - 7

3. 2x - 6

4. 2x - 7

Answers

You would distribute then combine like terms to get your answer.

a typing question please help and make brainleist​

Answers

Answer:
540

Explanation:

Suppose that c is a number for which the equation c÷c = 1 is false. What is c?

Answers

Answer:

Hope it help

Mark me as brainliest

Step-by-step explanation:

A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?

Answers

It's new position is 1121 feet below sea level.

(In this problem u are descending into a negative value so it made sense for me to add for some reason).

Hope this helps and have a good day.

Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.

-R3TR0 Z3R0

ABCD∼EFGH
The value of x is

Answers

Answer

didn't know there was an image

!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!

Answers

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.

What is the total cost of the grill on the installment plan?

Answers

Answer:

Total cost of the grill installment plan = 2290

Step-by-step explanation:

370 + 1920 = 2290

What is 13x + 21y - 14x - y simplified?

Answers

Answer:

-x + 20y

Step-by-step explanation:

trust me.. its right

what is the answer
y-11=25-3y

Answers

Answer:

9

Step-by-step explanation:

y-11=25-3y

y + 3y = 25 + 11

4y = 36

y = 36 / 4

y = 9

Hope it will help :)

Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto

Answers

Answer:

1 7/12

Step-by-step explanation:

I think that you want to know how many total pounds of beans do you have.

Well, to find this, simply find the LCM of 6 and 4. That is 12.

So convert the fractions to have a denominator of 12.

10/12, 9/12

Now add:

(10+9)/12 = 19/12 = 1 7/12

Which statement describes the graph

Answers

Answer:

Your answer is A

Step-by-step explanation:

I hope I helped :)

Your answer is going to be A.

PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.

Answers

Answer:

5.5

Step-by-step explanation:

The answer is 5.5 to you answer.hope it helps

Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !

Answers

Answer:

It should be -3

Hope it helped i tried to help you ASAP

Step-by-step explanation:

Help person right gets brainlist​

Answers

correct answer is = 3 17/28
brainliest?
P= 3 17/28
If its mixed number

P=3.60714285
If its need to be decimal

Just copy the answer from the pic

A recent survey of 1210 people found that out of all respondents, only 579 shop at local farmer's markets.



Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points

Is this a part-to-part or a part-to-whole ratio? 1 point

Only on your paper: Write a sentence about the ratio. (Remember not to use the word "ratio" and to use a percent version, if it is a part-to-whole ratio.)

Answers

579 farmers in One market is quite an extraordinary number but as soon as you take those farmers and put them in a Walmart it will not happen so efficiently

Find the slope of the line for the angle.
330 degrees

Answers

m= -1/3
How this helped!

Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?

Answers

Answer:

[tex]Time = 11\frac{2}{3}\ min[/tex]

Step-by-step explanation:

Given

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

Required

After how many minutes, will they round together

First, convert the given time to minutes

[tex]Security\ A = 2\ mins, 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ 20\ secs[/tex]

[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]

[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]

[tex]Security\ A = 2\frac{1}{3}\ min[/tex]

[tex]Security\ B = 1\ mins, 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ 40\ secs[/tex]

[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]

[tex]Security\ B = 1\frac{2}{3}\ min[/tex]

So, we have:

[tex]Security\ A = 2\frac{1}{3}\ min[/tex]

[tex]Security\ B = 1\frac{2}{3}\ min[/tex]

List out the multiples of the time of both security personnel take round.

[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]

[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]

In the above lists, the common time is:

[tex]Time = 11\frac{2}{3}\ min[/tex]

This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]

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