Solve the following story problem.
The perimeter of a rectangle is 60 inches. The length is four times the
width.
What are the length and width of the rectangle?
Define your variables.
X =
Equation 1
y =
Equation 2
What is the length?
what is the width?

Answers

Answer 1

Answer:

The perimeter of a rectangle is equal to 2L + 2W, where L = the length of the rectangle and W = the width of the rectangle. So, one equation is

 

2L + 2W = 60

 

From the info given in the problem, we also know that L = 4W. Therefore, we can use the Substitution Method to re-write the first equation as:

 

4W + 2W = 60

 

You should be able to solve this equation for W. Once you find W, you can then calculate L.

Step-by-step explanation:


Related Questions

Marisa’s mother is driving her to a doctor’s appointment in a town 75 mi. away. If they travel at a constant rate of speed of 50 mph, how long will it take to get to the doctor’s office? A. 1 hr. B. 1.5 hr. C. 2.5 hr. D. 3 hr.

Answers

Answer:

B) 1.5 hr

Step-by-step explanation:

75 miles/50 mph = 1.5 hrs

Answer:

B.1.5

Step-by-step explanation: We can already add 1 hour to the answer since 75 minus 50 would be 25. Next, we know that 25 is one half of 50 so that would result in us adding half an hour or 0.5. Now we can add. 1 plus 0.5 results in 1.5

Find the common ratio (r) of the sequence 3, -6, 12, -24, ...

Answers

Answer:

-2

Step-by-step explanation:

3*(-2)=-6

-6*(-2)=12

12*(-2)=-24

David has 1,327.00 on his checking account. if he writes a check for 1,987.00, what will David's balance be​

Answers

The answer is negative 660    (-660)

Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.

Answers

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

A necklace is on sale for 40% off. the original price of the necklace is 168.50 what is the sale price on the necklace​ ​

Answers

Answer:

$67.4

Step-by-step explanation:

Answer:

$101.1

Step-by-step explanation:

best anwser gets brainlist ty show work​

Answers

Answer:

[tex]36b^{6}[/tex]

Step-by-step explanation:

Using exponential rules, this simplifies to [tex]6^{2} \cdot b^{3\cdot2} = 36b^{6}[/tex].

What is the arithmetic mean of the following numbers? 9, 10, 6, 5, 69,10,6,5,6

Answers

Step-by-step explanation:

First count the numbers how many they are

there are 9 numbers

Then do the sum of all these numbers

9+10+6+5+69+10+6+5+6/9 126/9 - 14

Answer:

13

Step-by-step explanation:

i dont know u tell me

HELPPPPPP ASAPPPP PLSSSS

Answers

Answer:

a. 43

Step-by-step explanation:

This question is asking how much candy he had initially.

This means that t = 0 days

Thus anything to the power of 0 is just 1.

Hence: 43 x 1 = 43 candies

I am stuck at this please help me​

Answers

Answer:

2/7

Step-by-step explanation:

This is easy! No need to over think it btw!

1) whenever you divide by a whole number such as in this case;4. You need to put a 1 under 4... like this: 4/1 (so it can become a fraction!)

2) Use KEEP, CHANGE, FLIP when you are dividing fractions!

    8/7 --> you keep that number

    ÷ ---> × = you change the division sign into multplication sign

    4 ---> 1/4  = you put 1 over 4 and flip it which you get from 4/1  --> 1/4

3) Your would look like this....

   8/7 * 1/4 = ?

4) Muliply horizontally; 8 * 1 = 8 , 7 * 4 = 28

5) You get 8/28   Don't forget to simplify!!!

6) 8/4 / 32/4 = 2/7

ALSO, here's an example of KEEP, CHANGE, FLIP:

D-13=6
F-26=12
M+18=109
56+k=231

How do you solve these with steps

Answers

Answer:

D=6+13=19

Step-by-step explanation:

F=26+12=38

M=109-18=91

k=231-56=175

Name all sets of numbers to which –V 169 belongs.​

Answers

Answer:

Step-by-step explanation:

Find the value of x. Write your answer as a simplified radical if necessary.

Answers

Answer:

The answer is 3

This triangle is equal to the legs and also angular and by using Pythagoras then

[tex] {x}^{2} + {x}^{2} = {(3 \sqrt{2}) }^{2} \\ 2 {x}^{2} = 18 \\ then \: x = 3[/tex]

can someone help me this is due soon

Answers

Answer:

30

Step-by-step explanation:

3 + 8  + 7 + 2 + 6 + 4 = 30

good luck, i hope this helps :)

Answer: 30
Reasoning: 3+7+8+2+4+6

decrease 40 by 62 1/2%

Answers

Answer:

15

Step-by-step explanation:

Take 62.5 from 100  = 37.5

divide this by 100 = 0.375

times 40 by this

0.375 x 40 = 15

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1:Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2:Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3:Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4:Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5:Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer:

Answer:

1.) the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

4.) graph down below

5.) the profits are the same (slope) but the y intercept is higher then the original graph.

6.) y=-2/3x+300

Step-by-step explanation:

some of these are part of the problem as well.

1.)  2x+3y=1,470  

3y=-2x+1,470

-2x+1,470/3

-2/3x + 490

y=-2/3x + 490

the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

5.) 2x+3y=1,593

3y=-2x+1,593

y=-2/3x+531

the profits are the same (slope) but the y intercept is higher then the original graph.

6.) (150, 200) (300, 100)

y intercept= 300

m= 100-200/300-150 = -100/150 = -2/3

y=-2/3x+300

this was a question from a while ago but I thought I would answer it anyways, hope its right and hope it helps you! <3

if i had 34567898754123179000364299964 cakes and i ate with my friends 276543234589986499 then how many do i have left?

Answers

Answer:

u have diabetes dawg

Step-by-step explanation:

CAN SOMEONE PLS ANSWER-If W(- 10, 4), X(- 3, - 1) , and Y(- 5, 11) classify AEXY by its sides . Show all work to justify your answer

Answers

Answer:

WX = [tex]\sqrt{74} \approx 8.6023253\\\\[/tex]XY = [tex]2\sqrt{37} \approx 12.1655251\\\\[/tex]WY = [tex]\sqrt{74} \approx 8.6023253\\\\[/tex]Classify:  Isosceles

============================================================

Explanation:

Apply the distance formula to find the length of segment WX

W = (x1,y1) = (-10,4)

X = (x2,y2) = (-3, -1)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-3))^2 + (4-(-1))^2}\\\\d = \sqrt{(-10+3)^2 + (4+1)^2}\\\\d = \sqrt{(-7)^2 + (5)^2}\\\\d = \sqrt{49 + 25}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\[/tex]

Segment WX is exactly [tex]\sqrt{74}[/tex] units long which approximates to roughly 8.6023253

-------------------

Now let's find the length of segment XY

X = (x1,y1) = (-3, -1)

Y = (x2,y2) = (-5, 11)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-5))^2 + (-1-11)^2}\\\\d = \sqrt{(-3+5)^2 + (-1-11)^2}\\\\d = \sqrt{(2)^2 + (-12)^2}\\\\d = \sqrt{4 + 144}\\\\d = \sqrt{148}\\\\d = \sqrt{4*37}\\\\d = \sqrt{4}*\sqrt{37}\\\\d = 2\sqrt{37}\\\\d \approx 12.1655251\\\\[/tex]

Segment XY is exactly [tex]2\sqrt{37}[/tex] units long which approximates to 12.1655251

-------------------

Lastly, let's find the length of segment WY

W = (x1,y1) = (-10,4)

Y = (x2,y2) = (-5, 11)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-5))^2 + (4-11)^2}\\\\d = \sqrt{(-10+5)^2 + (4-11)^2}\\\\d = \sqrt{(-5)^2 + (-7)^2}\\\\d = \sqrt{25 + 49}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\[/tex]

We see that segment WY is the same length as WX.

Because we have exactly two sides of the same length, this means triangle WXY is isosceles.

i got to hurry so i kinda didnt have time

Answers

Answer:

b

Step-by-step explanation:

A boat traveled 308 miles each way downstream and back. The trip downstream took 11 hours. The trip back took 22 hours. Find the speed of the boat in still water and the speed of the current.

Answers

Answer:

speed of boat is 12 miles per hour and the speed of current is 9 miles per hour

Step-by-step explanation:

x^{2}-3x-40=0x
2
−3x−40=0

Answers

Answer:

what the

Step-by-step explanation:

what is that weird

someone help me with this ples with steps

Answers

Answer:

[tex]x=\frac{21}{4}[/tex]

[tex]y=\frac{21}{2}[/tex]

Step-by-step explanation:

equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]

step2: simplify the expression:

[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]

[tex]2x=\frac{21}{2}[/tex]

(divide by 2 for both sides)

[tex]x=\frac{21}{4}[/tex]

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

[tex]y=\frac{21}{2}[/tex]

The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
74 units
15 units

Answers

Answer:

5 units is the correct value of W

Will mark brainliest.

Answers

Answer:

A

Step-by-step explanation:

hope it's help.......

6 times x divided by 18

Answers

Answer:

[tex]\frac{6x}{18}[/tex]

Step-by-step explanation:

Can someone please help mehh

Answers

8.5, you follow a^2+b^2=c^2 since it is a right triangle

Answer: b = 7.4 yards

Step-by-step explanation:

In a right angle triangle, the length of each base squared added together is equal to the hypotenuse squared (Pythagorean theorem written as a^2 + b^2 = c^2)

The bases are b and 3 and the hypotenuse is 8

b^2 + 3^2 = 8^2

b^2 + 9 = 64

b^2 = 55

the square root of 55 is approximately 7.4

Manjila gupta birth date​

Answers

Answer:

i am jisoo i am okey

Step-by-step explanation:

jinnie

Aysha’s new bike has 26 inch diameter wheels. What is the circumference of her new wheel? Give your answer correct to 1 decimal place.

Answers

Answer:

81.6 inches is the circumference

Step-by-step explanation:

Circumference is π times diameter.

We can use a common value of π, 3.14

3.14 × 26 = 81.64

Round to 81.6 inches

A shirt is on sale for $15.75. This is 15% off the original price. What was the original price of the shirt?

$18.11

$13.39

$17.25

$18.53

Answers

Divide sale price by (1 - percent of discount):

15.75 / (1- 0.15) =

15.75 / 0.85 = 18.53

Answer = $18.53

Answer:

18.53

Step-by-step explanation:

18.53*0.15≈2.7795

Rounded = 2.78

18.53-2.78=15.75

Bob has his own cyber security company. Using the graph answer the following questions

Answers

answer:

you need not attach a graph to this. please do that so we can help you with the questions.

Plz help I literally suck at math... btw this is 6th grade math (there is an image)

Answers

Answer:

y=7x

Step-by-step explanation:

one way to think of it is by taking a y value from the table like (for example) 42 so you would do something like 42 divided by x = 6, or u could just do 42 divided by 6 which gives u 7. u can check ur answer by plugging in an x value to the equation. so for example we can plug in 8 to y=7x which is basically 7x8 and 7x8 is 56 which is true to the table.

im not rlly good at explaining things im sorry lol but I hope this kinda helped

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