The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm. Which inequality models the relationship between the width and the perimeter of the rectangle?
2w+2⋅(5w)>96
2w+2⋅(5w)<96
2w+2⋅(5w)≤96
2w+2⋅(5w)≥96

Answers

Answer 1

Let

L--------> the length of the rectangle

W-------> the width of the rectangle

we know that

the perimeter of the rectangle is equal to

[tex]P=2L+2W[/tex]

[tex]P\leq 96\ cm[/tex]

so

[tex](2L+2W)\leq 96[/tex] ---------> equation [tex]1[/tex]

[tex]L=5W[/tex] ---------> equation [tex]2[/tex]

Substitute equation [tex]2[/tex] in equation [tex]1[/tex]

[tex]2*(5W)+2W\leq 96[/tex]

therefore

the answer is the option

2w+2⋅(5w)≤96


Answer 2

Answer:

2w+2⋅(5w)≤96

Step-by-step explanation:


Related Questions

10x + 9 as a word phrase

Answers

"Ten times a number plus 9" Is the correct way to write this equation.

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?

Answers

a square gives the largest area

25 yards of fence = 25*3 = 75 feet

75/3 = 25 feet

so the dimension should be 25 feet by 25 feet

 the area would be 25^2 = 625 square feet

the apartment complex has 20 apartment per buildings 4 apartment are 3 bedroom apartment, 7 are 2 bedroom unit,and 9 apartment are 1 bedroom units.if the apartment complex builds 50 buildings how many 3 bedroom units would they have?

Answers

There would end up being 1000 apartments and 200 3 bedrooms apartments
Final answer:

If each building in the apartment complex has 4 three-bedroom units and they build 50 buildings, there would be 200 three-bedroom apartments total.

Explanation:

To answer how many 3-bedroom apartments would be in the complex if they built 50 buildings, start by considering the number of 3-bedroom apartments in one building. You've advised that this number is 4. Thus, to find the total number of 3-bedroom apartments in 50 buildings, you would multiply 4 (the number of 3-bedroom apartments per building) by 50 (the number of buildings). This calculation yields: 4 * 50 = 200. So, there would be 200 three-bedroom apartments in the complex if 50 buildings were constructed.

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Alberto is saving money to buy a pair of shoes that cost $58 He already saved $ 32 he still needs to save d dollars

Answers

he still needs to save $26 dollars
Subtract 58 and 32...That equals 26...So Alberto needs $26 more dollars..Please mark brainliest....

25386 to the nearest 1000

Answers

i think the answer is 25000
25000 is the answer...

A tour bus travels 2,160 miles in 36 hours. What is the average distance the bus travels in one hour?

Answers

60 miles because 2160 divided by 36 = 60
You divide 2,160 miles by 36 hours to get your average of 60 miles.

Anybody know this answer ?

Answers

xy^2/(x^3 y^3)

1/(x^2 y) is the answer

how to solve -24-1/8p=3/8p?

Answers

first u divide both sides by 8

you get
 -192-p=3p

collect like terms
  -p-3p= 192

divide both sides by -4
 -4p=192


P= -48

what is the reciprocal of the fraction 3 5/6

Answers

the reciprocal is 6/23 because once you change it into a mixed number you get 23/6 then you flip it

Which triangle is a translation of triangle ABC?


MNO
PQR
STU
VWX

Answers

I think it’s MNO but I really don’t know

Answer:

MNO

Step by step:

A translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. So when you look at all of the answer choices then look at the definition of translation you see that MNO fits all the criterias.

(I am going with the assumption that this is the question since you gave no picture.)

(MNO is the correct answer for plato.)



How does an underestimate relate to rounding factors before estimating?

Answers

when both factors in a multiplication problem are rounded up to estimate the product, the estimate is an overestimate.

When you round up, you overestimate because now numbers are bigger than before rounding. In a similar way, when you round down, you underestimate. And, when you round down some factors and round up others, it is hard to tell whether the estimate is an overestimate or an underestimate.

When a fraction of 17 is taken away from 17 what remains exceeds one-third of seventeen by six.

Answers

1/3x17/1=51/1 that's how you do it by explaining

Answer:

The fraction taken away from 17 is [tex]\frac{16}{3}[/tex]

Step-by-step explanation:

The simplest way to solve this word problem is to set to equations equal to one another and solve the missing fraction.

The one side of the equation is 17 subtracted by an unknown fraction.

The other side is one third of seventeen added to 6.

[tex]17-x=\frac{1}{3}(17)+6\\x=17-6-\frac{1}{3}(17)\\x=11-\frac{17}{3} \\x=\frac{33}{3} -\frac{17}{3}\\x=\frac{16}{3}[/tex]

Solve the inequality for b
10 ≥ - 2/3 (9+12B)

Answers

 [tex]10 \geq - \frac{2}{3} (9+12B)[/tex]

[tex]10 \geq \frac{-2}{3}*9 +\frac{-2}{3}*12B [/tex]

[tex]10 \geq (-2*3) +(-2*4B)[/tex]

[tex]10 \geq -6 -8B[/tex]

[tex]-8B \leq 10 + 6[/tex]

[tex]-8B \leq 16[/tex]

[tex]B \leq \frac{16}{-8} = -2[/tex]

B ≤ -2

Hence, B is any number less than or equal to -2.

Final answer:

To solve the inequality 10 ≥ - 2/3 (9+12B) for b, first eliminate the fraction by multiplying both sides by -3/2, then isolate b, resulting in b ≥ -2.

Explanation:

The student has asked to solve the inequality for b: 10 ≥ - 2/3 (9+12B). To do this, follow these steps:

Multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2, to get rid of the fraction. This step is crucial for simplifying the inequality.

The inequality becomes: -15 ≤ 9 + 12B.

Subtract 9 from both sides to isolate the term with b on one side: -24 ≤ 12B.

Divide both sides by 12 to solve for b: b ≥ -2.

Therefore, the solution to the inequality 10 ≥ - 2/3 (9+12B) is b ≥ -2.

A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student portal who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.

Answers

Let us say that:

x = number of students who are members.

 

Since both groups went together to the planetarium, therefore this means that 19-x is the number of students who are not member

 

Since x paid $11 for tickets and (19-x) paid $13 so the total cost of the tickets is:

 

$11x + $13(19-x) = $209

 

Solving for x would get us the number of members:

11x + 247 – 13x = 209

-2x = -38

x = 19

Therefore this means that all students are members.

Bobby Hsu is an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522.00 per week?

Answers

about 23 hours divide $522 by $22.50

Need help on part b asap

Answers

the answer gotta be b or d

You have the first part correct. The area 36pi comes from squaring 6 to get 36.

The diameter 12 is cut in half to get the radius 6.


Add on 3 to the radius to get 3+6 = 9. The new radius is 9 which squares to 81. That's why the answer is choice D for the problem on the right.

Please find the value of x

Answers

4x+26 = 12x-38

4x+64=12x

64 = 8x

x = 64/8 = 8

x = 8

Because the angles are opposite, the value is the same so an equation could be
4x+26=12x-38
Add 38 to both sides
4x+26+38=12x-38+38
4x+64=12x
Subtract 4 from both sides
4x+64-4x=12x-4x
64=8x
Divide both sides by 8
64/8=8x/8
8=x
Hope this helped!

Choices are associative property and commutative property opposite of a sum property

Answers

It would be associative property because the order of the numbers stayed the same

What is the unit rate for 3 inches of rain in 6 hours?

Answers

You would multiply 3*6
1/2 (.5) inches an hour

Twice a number increased by 3 is 45. What is the number?

Answers

135 because 45x3=135 at least I'm sure this is what you mean

2N+3=45

2N = 42

N = 42/2 = 21

N = 21

The sum of three consecutive odd integers is 72 more than the smaller integer. What are the integers? plz show work.ASAP

Answers

Let the consecutive odd no. be X, Y, and Z.
Since they are consecutive,
Y = X+2 and Z = Y+2 = X+4.
  Now,
X+Y+Z = X+72 (according to question)
Substituting,
3X + 6 = 72
3X = 72 - 6 = 66
 Therefore,
X = (66/3) = 22
Y = 24
Z = 26

he new Coat and Jacket Store was ready to open. The workers put out 42 racks of men’s and boy’s coats and jackets with 16 items on each rack. They also put out 35 racks of women’s and girl’s coats with 24 items on each rack. How many coats and jackets were on the store racks? A. 42 + 16 + 35 = 93 and 93 x 24 = 2,232 coats and jackets B. 42 + 35 = 77 and 16 + 24 = 40 and 35 x 40 = 1,400 coats and jackets C. 42 x 16 = 672 and 35 x 24 = 840 and 840 + 672 = 1,512 coats and jackets D. 42 + 16 = 58 and 35 + 24 = 59 and 59 + 58 = 117 coats and jackets

Answers

42 x 16=672
35 x 24=840

672+840=1512
C. 42 x 16 = 672 and 35 x 24 = 840 and 840 + 672 = 1,512 coats and jackets

mrs. jenkins was arranging chairs for a school awards assembly. each row contained 15 chairs. if there were 21 rows many chairs had to be arranged?

Answers

315 is the answer to this question

Answer:  315  chairs had to be arranged .

Step-by-step explanation:

Given : Mrs. Jenkins  was arranging chairs for a school awards assembly.

Number of chairs in each row = 15

Then by using MULTIPLICATION OPERATION, the number of chairs in 21 rows :-

[tex]15\times21=315[/tex]

Therefore, the total number of chairs had to be arranged =315

Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet? 10 beads per bracelet 12 beads per bracelet 14 beads per bracelet 16 beads per bracelet

Answers

The answer is sixteen. (16) 


128 / 8=16

If Huda made 8 matching bracelets. She used 128 beads in all. Then 16 beads she used per bracelet.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given,

The number of beads Huda used are one hundred twenty eight

Number of beads=128

The number of bracelets huda made by using 128 beads is 8 bracelets.

We have to find in each bracelet how many beads Huda used.

This can be achieved by division.

We have to split 128 beads into eight groups.

128/8=16

In each group has 16 beads. Which means each bracelet has 16 beads.

Hence 16  beads she used per bracelet.

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Is -2.74 a rational number?

Answers

yes, in mathematics, a rational number is any numberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Yes -2.74 is a rational number a negative number is a rational number always then 2.74 is not is a positive number so it's never rational

What is 8.5 as a mixed number in simplest form

Answers

 8 5/10
8 1/2

Hope this helped!
The decimal 8.5 can be converted to a mixed number in simplest form by simply applying logic. 0.5 is 1/2 so 8?5 is just 8 1/2 as a simplified mixed number.

I hope this helps!

What is "40x = 5y (w - 3z)" (Solve for w)

Answers

Okee dokee, solve for w when 40x=5y(w-3z), so it's will gonna be like this:
40x=5y(w-3z)
40x=5yw-15yz
+15yz    +15yz
40x+15yz=5yw
/5y            /5y
40x/5y+3z=w
8x/y+3x=3, this is the final answer.

suppose 25 out of 175 people said they like to play disc golf and out 5 out of every twelve of the players have a personalized black disc at the Staybridge in a group of 252 people predict how many you would expect to have a personalized flying disc

Answers

We have [tex] \frac{5}{12} [/tex] of 252 people who have a personalized black disc

Number of people who would have personalized flying disc = [tex] \frac{5}{12}*252= \frac{2*252}{12}=105 [/tex] people

Then we work out the number of people who like to play disc golf:
[tex] \frac{25}{175}*105= \frac{25*105}{175}=15 [/tex] people

So we have 15 people who like to play disc golf and have personalised black disc.

Elena has one and a half times as much money as ramon. together they have $225. how much money does each have? choices for ramon's amount: 80, 90, 95

Answers

e + r = 225
e = 1.5r.......1 1/2 = 1.5

1.5r + r = 225
2.5r = 225
r = 225/2.5
r = 90 <== raymon

e = 1.5r
e = 1.5(90)
e = 135 <=== elena

what is 0.14, 1/8, and 1.9% ordered from least to greatest?

Answers

First change 1/8 and 1.9% to a decimal.
1/8 = .125
1.9% =  .019
Now lets order them.
To order them we look at the first number after the decimal and compare. We see that 0.14 has a 1 and .125 has a 1 and .019 has a 0. Since 0 is less than the others it is first in our list. So 1.9% is first. Now lets look at .14 and .125.We look at the second number, which .14 has a 4 and .125 has a 2 so since 2 is less than 4 that means .125 1/8 is next in our list and then the only one we have left is .14 so that is last in our list

Our List / Order
.019, .125, .14
1.9%, 1/8, .14

To order 0.14, 1/8, and 1.9% from least to greatest, we first convert them all to decimal form, which gives us 0.14, 0.125, and 0.019 respectively. The ordered list from least to greatest is 1.9%, 1/8, 0.14.

The question requires ordering the numbers 0.14, 1/8, and 1.9% from least to greatest. First, we convert all numbers to decimal form: 0.14 remains the same, 1/8 is equivalent to 0.125, and 1.9% is the same as 0.019 when converted to decimal form. Now, we have 0.14, 0.125, and 0.019. Ordering these decimals from least to greatest, we get 0.019, 0.125, and 0.14.

Therefore, when ordered from least to greatest, 1.9%, 1/8, and 0.14 become 1.9%, 1/8, and 0.14 respectively.

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