Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10

feet.


Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular

wall?


Answers

Answer 1

Answer:

[tex]W \le 6[/tex]

Step-by-step explanation:

Given

[tex]Area = 60ft^2\ (max)[/tex]

[tex]Length = 10ft[/tex]

Required

Represent the width as an inequality

First, we represent the area as an inequality.

[tex]Area = 60ft^2\ (max)[/tex]

max as used above means less than or equal to.

So, we have:

[tex]Area \le 60[/tex]

The area of a rectangle is:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W \le 60[/tex]

Substitute 10 for L

[tex]10 * W \le 60[/tex]

Divide both sides by 10

[tex]\frac{10 * W}{10} \le \frac{60}{10}[/tex]

[tex]W \le \frac{60}{10}[/tex]

[tex]W \le 6[/tex]


Related Questions

Which of the following pairs of numbers is matched with its correct greatest common factor? Select two that apply.
A
The greatest common factor of 10 and 68 is 2.

B
The greatest common factor of 33 and 99 is 3.

C
The greatest common factor of 78 and 84 is 6.

D
The greatest common factor of 45 and 54 is 5.



I need the answer right now! It will be worth all of my points!!!!!!

Answers

Answer:

a and c

Step-by-step explanation:

10 and 68 is 2 and 78 and 84 is 6

Find f(-2) this is due in 10mins help please

Answers

-2f

Step-by-step explanation:

move the -2 to the left of the f

A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?

Answers

Answer:

J   The relation represents y as a function of x, because each value of x is associated with a single value of y.

Step-by-step explanation:

I'm sure of this

Answer:

H

Step-by-step explanation:

i think so i’m not one hundred percent sure though ! Tell me if i’m wrong

Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth_1 asmuch.
10
Makethe7worth_1 asmuch. 10
Make the 6 worth 10 times as much. Write the new number.

Answers

Answer:

Step-by-step explanation:

your mom

laurague here is your answer:)

Answers

Got it :)Thank you!!!!!!!

Alyssa ran 10 miles after school om friday​

Answers

the answer is c.
don't mind this i just need more than 20 letters

What is the value of x?
55
A
105°
A. 500
B. 160°
C. 20°
D. 550

Answers

Answer:

A

Step-by-step explanation:

180-105=75

180=75+55+x

x=50

I need help it’s only one question

Answers

Answers and Step-by-step explanations:

9:  (4/6) (-5/8)  

This is just multiplication of fractions, so all you need to do is multiply both numerators by eachother and both denominators by eachother.  Assuming that only the 5 is negative, (this is just an assumption since it's not clear which one is, or you can do the 8,)  You get -20/48, since 4 x (-5) = -20, and 6 x 8 = 48.  Simplify and you get -5/12.  

10:  (3/4) (-1/5)  

Multiply the numerators, (3 and -1), and the denominators, (4 and 5,) to get -3/20.  This is the lowest it can be simplified to, so therefore your answer is -3/20.  

11.  (-1/8) (-6/7)  

Multiply -1 and -6 to get 6, (since two negatives make a positive.)  Multiply the denominators, (8 and 7,) to get 56.  This maks 6/56, which simplifies to 3/28.  

12.  (-4/9) (1/5)  

Multiply the numerators, (-4 and 1,) to get -4.  Multiply the denominators (9 and 5,) to get 45.  Your answer is -4/45.    

I'm really sorry if I'm wrong for anything, hope this helps!  :)

Tyler bought two pieces of pizza and three diet Pepsi for $7.25 Scotty but for pizzas a pizza and diet Pepsi for $8.25 set up a system of equations to determine how much a slice of pizza cost and how much a diet Pepsi cost

Answers

Answer:

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

Step-by-step explanation:

Let us represent:

The cost of

1 slice of pizza = x

1 diet pepsi = y

Tyler bought two pieces of pizza and three diet Pepsi for $7.25

2x + 3y = 7.25.......Equation 1

Scotty but four pizzas and a diet Pepsi for $8.25

4x + y = 8.25......Equation 2

Combining the Equations

2x + 3y = 7.25.......Equation 1

4x + y = 8.25......Equation 2

y = 8.25 - 4x

We substitute 8.25 - 4x for y in Equation 1

2x + 3(8.25 - 4x) = 7.25

2x + 24.75 - 12x = 7.25

Collect like terms

24.75 - 7.25 = 12x - 2x

17.5 = 10x

x = 17.5/10

x = $1.75

Solving for y

y = 8.25 - 4x

y = 8.25 - 4(1.75)

y = 8.25 - 7

y = $1.25

Therefore,

The cost of

1 slice of pizza = x = $1.75

1 diet pepsi = y = $1.25

Lucas jogged 1/3 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?

Answers

Answer:

jndcxiaojdncijadmcijwmqdijxcmc

Step-by-step explanation:

A possible error is (c) C.12×4 does not equal 13.

How to determine why he might be wrong

From the question, we have the following parameters that can be used in our computation:

Rate = 1/3 miles in 4 minutes

When converted to unit rate, we have

Rate = 1/3 miles/4 minutes

Evaluate the quotient

So, we have

Rate = 1/12 miles per minute

This means that a possible error is (c) C.12×4 does not equal 13.

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Question

Lucas jogged 13 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?

A.There are more than 12 equal parts in 13 of a whole.

B.When 13 of a whole is split into equal parts, each part is greater than 13.

C.12×4 does not equal 13.

D.The answer must be a whole number.

Simplify:
4x + 3 + (– 3x) + 7x – 6x

Answers

Answer:

2x+3

Step-by-step explanation:

?
Expand & simplify
(x + 3)(x – 8)

Answers

x Times x is x^2
X^2-8x+3x-24
x^2-5x-24



A cylinder has a base radius of 10m a height of 18m. What is its volume in cubic

m, to the nearest tenths place?

Answers

Answer:

5656 m^3

Step-by-step explanation:

Volume of a cylinder can be calculated using below formula

V = πr²h

Where

h= height =18m

r= radius= radius = 10m

If we substitute the values we have

V = π × (10)²× 18

= 5655.6 m^3

= 5656 m^3

Answer: 5654.9

Step-by-step explanation:

£108 in the ratio 7:5

Answers

Answer:

45:63

Step-by-step explanation:

7+5=12

12u-->108

1u--> 9

5u-->45

7u-->63

plxx help
it cost $ blank for blank popsicles​

Answers

Answer: if it’s asking for you to continue the sequence, try $10 for 30

Step-by-step explanation:

Multiplies of 6

You have $350 dollars in your savings account the account pays an interest rate of 2.25% how much will you earn in interest this year?

Answers

Answer:tttaergfzgsfbvzfsbzfzbfs

The amount of interest that you earn after a year will be $7.875.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.

You have $350 in your savings account, which has a 2.25% interest rate.

Then the amount of interest that you earn after a year will be given as,

I = A - P

I = $350(1 + 0.0225) - $350

I = $350 (1.0225) - $350

I = $357.875 - $350

I = $7.875

The amount of interest that you earn after a year will be $7.875.

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ5

help will give brainliest asap

Answers

Answer:

476 and the top box is 5

Step-by-step explanation:

68×7

Multiply 68 and 7 to get 476.

476

Answer:

the bottom box is 476, the top one is 5

Step-by-step explanation:

In a class full of men and women,
4/9 of the class are women. What is the ratio of men to
women in its simplest form?

Answers

Answer:

5/4 is the simplest form.

1. Clare has $54 in her bank account. A store credits her account with a $10 refund. How much does she now have in the bank?​

Answers

Answer:

$64

Step-by-step explanation:

OMG SOMEONE HELP ME

Solving inequalities.

4x + 7 > 23

Answers

Answer:

x > 4

Step-by-step explanation:

Write the function in vertex form.
y=x2 – 9x - 7

Answers

The vertex form is (x−4.5)2+20.25.

Please help!!!!!!
Explain the answer

Answers

Answer:

I think they are.

Step-by-step explanation:

Because they are both 39 and 34 degrees so if x and y are the same number they are similar.

The average daytime temperature on Venus is 870°F. The average temperature on Jupiter is -160°F. What is the difference between the average temperatures on Venus and Jupiter?

Answers

Answer:

Step-by-step explanation:

Okay, outside of the Sun, the hottest place in the Solar System is the core of Jupiter. Once again, while the cloud tops of Jupiter are more than 100 degrees below zero, the core of the planet could be up to 30,000 Kelvin. ... In fact, Venus is even hotter than the planet Mercury when it's in the Sun

Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

$1105

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 6500 × 0.0425 × 4 = 1105

I = $ 1,105.00

The simple interest accumulated

on a principal of $ 6,500.00

at a rate of 4.25% per year

for 4 years is $ 1,105.00.

The  interest in dollars and cents did the account earn should be considered as the $1,105.

Calculation of the interest in dollars:

Since deposited amount is $6,500

The interest rate should be 4.25%

The time period is 4 years

So here the interest should be like

= ($6,500) (4.25%) (4)

= $1,105

hence, The  interest in dollars and cents did the account earn should be considered as the $1,105.

Learn more about interest rate here: https://brainly.com/question/24656271

A person can pay $6 for a membership to the science museum and then go to the museum
for just $1 per visit. For a member of the science museum, what is the total cost of 44
visits?

Answers

$50 I think if not my bad but I’m pretty sure I’m correct

plss help (ZOOM IN TO SEE FULL PIC)

Answers

Answer:

20

Step-by-step explanation:

root 144+ 256= 400 root 400 =20(Pyto Th.)

so 20

if my answer helps please mark as brainliest.

Answer:

20

Using the formula of Pythagoras theorum 20 is the answer.

dvd: $15; 35% markup​

Answers

Answer:

35% of 15=35/100×15=21/4=5.25

Using long division, find (x^3 - 8x + 6) / (x^ - 2x + 1)

Answers

Answer: 6

Step-by-step explanation: it's easy 8x = 6 because the divisor is Equlivant to the 2x

Which system of equations has no solutions? (Systems of Linear Equations - Quiz I-ready)

Answers

Answer:c parallel lines

Step-by-step explanation:

(Will give brainliest :) pls tell me how to solve) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?

Answers

Answer:

3.08270264 hours

Step-by-step explanation:

The first thing you have to do is a graph where you signal the cardinal points (1st image)

Then draw the first line that the problem gives you (N64°W). At the end of this line, you will draw the following line (S23°W) drawing another little graph as a guide. Finally, you will draw the last line, as long as a triangle is made (2nd image)

If you pay attention to the first line you made, you will notice that you can make a right triangle with angles of 90°, 64°, and 26° (3rd image)

So, returning to the other big triangle, you are going to add the 23° of the main orientation with the 26° that you just obtained from the first triangle (4th image)

Now you have a large triangle with one side that is worth 4, another that is worth 2, and an angle between them that is worth 49° (5th image)

From now on it's easier.

We know that if we have an angle between two know sides we can use Law of cosines (a²=b²+c²-2bcCosA)

So a² = 2² + 4² - 2(2*4)Cos49

a² = 4 + 16 - 2(8)Cos49

a² = 20 - 16Cos49

Cos49 = 0.65605902899

16 * 0.65605902899 = 10.4969444638

20 - 10.4969444638 = 9.50305554

a² = 9.50305554

a = [tex]\sqrt{9.50305554}[/tex] = 3.08270264

Hope I helped you and sorry for the bad quality of the photos

Other Questions
Help! Will mark brainliest whether you are writing a radio, TV, movie, or add script, it is a good idea to follow the correct _____.a) format b) theme c) narration d) imagined e) visual write a paragraph on topic of importance of social norms Need help with this Geometry A plate moves south at a rate of 2 cm/year. How many meters south from its original location will the plate be in 4,000 years? A) 8,000 meters southB) 4,000 meters southC) 200 meters southD) 80 meters south Larry is taking a walk in the park. The pollen in the air makes him sneeze constantly. What line of defense is his immune system exhibiting?A. first line of defenseB. second line of defenseC. third line of defenseD. fourth line of defense Rupert wants to write a program where an archer will shoot an arrow six times. Which of the following terms should beused?O BooleanO whileO forO forever value of m= 23m square - 2m - 7 Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hour. what is the average speed in miles per hour? 1 A boy kicks a ball with 40m/s at an angle of 30 with the ground. find the range the ball travels after 6 s.240 m208 m120 m139 mAnswer and I will give you brainiliest. Read the text, then answer the question that follows:Wild animals as viewed from a mountain camp-Camille Grant, October 2011Through my binoculars, I viewed a group of wild animals in action. A pride of lions was sleeping when a small, yellow bus pulled up beside them. Tourists on a safari were packed Into the bus likesardines in a can. Armed with cameras, they invaded the lions' territory, hoping to capture the perfect photograph. The crowd leaned out the windows, hooting and hollering, until the lions awoke.When the lions moved away, the bus rolled after them, relentlessly stalking the pride. One of the lions turned and roared to protect the young. This was greeted with cheers and a celebratoryhonk of the bus horn. The curious visitors observed the lions' routine for an hour before moving on. Leaving a cloud of dust, the bus headed away, taking the wild animals off to disturb someoneelse's homeReview the following line from the text:The curious visitors observed the Nons' routine for nearly an hour before moving on.To create a more negative connotation, the author could have replaced the word curious with which of the following synonyms? NosyPassiveInterestedFamiliar Divide 200kg in the ratio 15:9:1 Why might someone who is on a diet and eating very few molecules not lose weight? Why does soil lose its fertility from time to time? A(n)___ in the money supply will cause interest rates to decrease, which, in turn, causes spending to____.A. increase; decreaseB. decrease; decreaseC. increase; increaseD. decrease; increase What was the outcome of the Spartacist revolt? The position of a particle on a straight line is given by s(t) = 3 cos(t).A. Find velocity and acceleration at t = 4.3 s.Round your answers to 2 decimal(s).v(t) =a(t) = Of the students at Milton Middle School, 144 are girls. If 40% of the students are girls, how many total students are there at Milton Middle school? A. 360 B. 270 C. 450 D. 180 There are 4 cups of flour in 3 batches of cookies . How many cups are in one batche. How did the great society resemble the new deal?