The length of a rectangle is 5 m less than six times its width. If the perimeter is 200 m, find the length and width of the rectangle.

Answers

Answer 1

Answer:

Let W be the width of the rectangle. The length will then be 6W (six times the width). The area is length times width. if this equals 216, then you have an equation

(6W)(W) = 216

6W2 = 216

W2 = 36

W = 6.

The width is 6 ft and the length must then be 6W = 36 ft.

To find the perimeter, use the formula

P = 2L + 2W.

Plug in:

P = 2(36) + 2(6) = 72 + 12 = 84 ft.

The perimeter is 84 ft. (Remember that area has units length units squared and perimeter has units same as length.)

Step-by-step explanation:


Related Questions

What is z? (I can find x and y, the sides, but not sure how to find z)

Answers

hey I got a question what grade that math from

The equation shows an unknown number. PLEASE ANSWER, QUICKLY.

Answers

Solution:

Note that:

Given equation: x ÷ 3/7 = 7/15

Simplify the given equation to solve for x.

x ÷ 3/7 = 7/15=> x × 7/3 = 7/15=> 7x/3 = 7/15=> 7x = 7/5=> 35x = 7=> x = 1/5

Check:

1/5 ÷ 3/7 = 7/15=> 1/5 x 7/3 = 7/15=> 7/15 = 7/15 (True)

Hoped this helped!

How does the graph of f(x) = (x − 9)4 − 3 compare to the parent function g(x) = x4?

Answers

Using translation concepts, we have that the graph of f(x):

Was shifted 9 units to the right and 3 units down.

The parent function is given by:

The translated function is given by:

The first transformation was that , thus, it was shifted 9 units to the right.

Then, 3 was subtracted from the function, which means that it was shifted down 3 units.

hope this helps

A city finds empirically that an automobile going through the intersection of 5th and Main will run a red light sometime during a given day with probability 6.3%. What is the probability that an automobile will not run a red light at that intersection on a given day? Write your answer as a percentage.

Answers

Given that 6.3% will run a red light do (100%-6.3%)=93.7% will not run a red light at that intersection on a given day.

I need help for a tutorial class in algebra, just for better understanding.​

Answers

Answer:

it's slant

Step-by-step explanation:

because it is improper and not equal

I need help now pls

Answers

Answer:

22/10 or 11/5

Step-by-step explanation:

There are two (2) whole and two tenths (2/10).

You have to multiply the 2 whole by the denominator and add it to the numerator.

Step by step:

1) 2 and 2/10

2) (2*10) = 20

3) add 20 to 2, then put it on the /10

4) 22/10, then reduce the fraction

5) 11/5

Final answer: 11/5

A net of a rectangular prism with dimensions of 18 inches, 20 inches, and 35 inches is given What is the surface area of this rectangular prism? Enter your answer in the box __ ​

Answers

Answer:

The answer is 3380

Step-by-step explanation:

i took the test

Parallel lines are preserved in which of the following types of transformations? 1. rotations II. reflections III. translations​

Answers

Answer:

All of the above.

Step-by-step explanation:

Translation, reflection, and rotation are isometries, since they preserve length. Therefore translation, reflection and rotation are congruency transformations. Further if we only require that parallel lines be mapped onto parallel lines, we get the shears and stretches.

2x + 5y= 10; (4,9)
Write answer in slope intercept form.

Answers

Answer:

y = 5x - 5/2xy + 79

Step-by-step explanation:

First we need to solve for m which is slope.

Subtract 5y from both sides

2x = 10 - 5y

Then divide each term by 2

2x/2 = 10/2 + -5y/2

Then simplify to the left

x = 10/2 + -5y/2

Then simplify the right side

x = 5 - 5y/2

Next we have to find the value of b using the formula y = mx + b

So

y = (5 - 5y/2) * x + b

y = (5 - 5y/2) * (4) + b

9 = (5 - 5(9)/2) * (4) + b

Rewrite

(5 - 5(9)/2) * 4 + b = 9

Simplify more

Multiply 5 by 9

(5 - 45/2) * 4 + b = 9

Multiply by 2/2 to write 5 as a fraction

5 * 2/2 - 45/2) * 4 + b = 9

Then combine 5 and 2/2

(5 * 2/2 - 45/2) * 4 + b = 9

Combine the numerator over the denom

5 * 2 - 45/2 * 4 + b = 9

Simplify the numerator

-35/2 * 4 + b = 9

Cancel the common factor of 2

-35 * 2 + b = 9

Multiply

-70 + b = 9

Move the terms without b to the right side

b = 9 + 70 > b = 79

Now we substitute all the values into y =  mx + b

y = 5x - 5/2xy + 79

please also answer this question

Answers

Answer:

20ft.

Step-by-step explanation:

[tex] {16}^{2} + {12}^{2} = {c}^{2} \\ 256 + 144 = 400 \\ {c}^{2} = 400 \\ c = \sqrt{400} \\ c = 20ft.[/tex]

How many cups are in 40 liters

Answers

Answer:

169.07

Step-by-step explanation:

I looked it up, hope it helps

169.07
I looked it up and it gave me this answer multiple times

If (-3, y) lies on the graph of y = 3^x, then y =

a. -1
b. 1/27
c.-27

Answers

Answer: B

Step-by-step explanation:

Substitute x = -3 into the equation.

y is equal to 3^-3 = 1/27

So the answer is B

Use the figure to solve the inequality

Answers

Answer:

c hope this heps

Step-by-step explanation:

please help now it kinda important i get it done soon or i cant go to a dance for my school tomorrow. im begging u ill give u 5 stars and a thanks and maby even a showt out thats how much this means to me.

Answers

Answer: 352496

Step-by-step explanation:

First, to find 20% of 440,620, you can multiply:

0.2 x 440,620 = 88,124

Then, to find the new weight of the ship, you can subtract the 20% that was just found (88,124) from the ship's original weight (440,620) to get:

440,620 - 88,124 = 352,496

Therefore, the ship's weight is now 352496.

I hope this helps!

Help me please please please . 4 - 2 3/4 please show ur work

Answers

Answer:

[tex]1\frac{1}{4}[/tex] [tex]or[/tex] [tex]1.25[/tex]

Step-by-step explanation:

[tex]4-2\frac{3}{4}[/tex]

[tex]4-\frac{11}{4}[/tex]

[tex]\frac{16}{4} -\frac{11}{4}[/tex]

[tex]\frac{16-11}{4}[/tex]

[tex]\frac{5}{4}[/tex]

[tex]1\frac{1}{4}[/tex][tex]or[/tex] [tex]1.25[/tex]

Answer:

[tex]1\frac{1}{4}[/tex]  /1.25  is your answer.

Step-by-step explanation:

[tex]=4-2\frac{3}{4} \\\\=4-\frac{11}{4} \\\\=\frac{4*4-11*1}{4} \\\\=\frac{16-11}{4} \\\\=\frac{5}{4} \\\\=1\frac{1}{4}[/tex]

[tex]1.25[/tex] in decimal form

Hope it will help you.

What is the next number in the sequence?6,12,24,48

A.72
B.96
C.108
D.112
E.124

Answers

the correct answer is d

Answer:

B. 96

Step-by-step explanation:

The pattern doubles for each number so 6 doubles to 12. 12 doubled is 24... ect

so to find the answer we just double 48 :

48 X 2 = 96

Angela's text messaging plan charges 30¢ for each message over 600 in addition to a $9 base charge. If
she owes $36.60 for text messaging in the month of July, how many text messages did she send that
month?

Answers

answer: 692

Step-by-step explanation:

36.6 - 9 = 27.6

27.6/0.3 = 92

600 + 92 = 692 text messages

If you draw a single card once from a deck of ordinary playing cards, what is the probability that it will be (a) The ace of diamonds

Answers

Answer:

1/52

Step-by-step explanation:

hope this helps

Write 2,748 in Mayan numerals. Show work. Take a screen shot or picture and upload using the Insert Image link (the tree icon). Can you show me how you get this

Answers

Hope this helps, I don’t know if it is accurate.

What iS the slope of the line represented by the equation y = -1/2x + ¼?

Answers

Answer:

-1/2

Step-by-step explanation:

When the equation of a line is given in the form y = mx + b like this is, the slope is simply the m value!

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

The answer is Tennesse

Step-by-step explanation:

because it raises the prices by $45.50

Read the story. The Bridgetown Youth Group had their annual pancake breakfast yesterday. At the breakfast, there were 5 blueberry pancakes eaten for every 6 plain pancakes eaten. Pick the diagram that models the ratio in the story. If 108 plain pancakes were eaten, how many blueberry pancakes were eaten? blueberry pancakes

Answers

Answer:

90

Step-by-step explanation:

Firstly, you divide 108 by 6, since 108 can't be divided by 5, and 108 divided by 6 gives you 18. Then you multiply 18 by 5, which gives you 90. Boom.

Answer: the answer is 90

Step-by-step explanation:

Ela is buying $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is 6%?

Answers

Answer:

$99.11 dollars

Step-by-step explanation:

Given the following question:
$110 dollars for a chair...
15% off from a coupon...
Then a 6% sales tax....

[tex]\frac{15\times110}{100} =15\times110=1650\div100=16.5[/tex]
[tex]110-16.5=93.50[/tex]
The chair costs $93.50 dollars after the 15% off coupon.

Now the 6% sales tax:

[tex]\frac{93.5\times6}{100} =93.5\times6=561\div100=5.61[/tex]
[tex]93.5+5.61=99.11[/tex]
[tex]=99.11[/tex]

After the 15% coupon and the 6% sales tax, the chair will cost "$99.11 dollars."

Hope this helps.

Someone tell me the answer

Answers

Answer: 6:1

Step-by-step explanation: you’re welcome

Carlos is on the swim team. Each week he swim a total of 2000 meters. How many kilometers does he swim each week?

Answers

Answer:

2 kilometers

Step-by-step explanation:

1000 meters = 1 kilometer

2000 meters = 2 kilometers

If you need to setup a conversion

[tex]\frac{2000m}{1}[/tex] × [tex]\frac{1km}{1000m}[/tex]

The meters cancel

[tex]\frac{2000km}{1000} \\[/tex]

Reduce

2 km

2(x+5)-7=3(x-2)

Pls help ! find value of x​

Answers

Answer:

dasd

Step-by-step explanation:

Given:

2(x + 5)-7= 3(x - 2)

To Find:

• Value of x

Solution:

⇒ 2(x + 5)-7= 3(x - 2)

⇒ 2x+10-7= 3x - 6

Rearranging the like terms,

⇒ 3x-2x = 10 + 6-7

⇒x=16-7

⇒x=9

Verification:

⇒ 2(x + 5)-7= 3(x - 2)

Putting x = 9,

⇒2(9+5)-7= 3(9 - 2)

2(14)-7= 3(7)

⇒28-7=21

⇒ 21 = 21

→ LHS = RHS

HENCE VERIFIED!!!

53,5_8,769 is divisible by 9

Answers

Answer:

The missing number is 2

Step-by-step explanation:

Help?? I don’t get this

Answers

Answer:

  x = 19

Step-by-step explanation:

When a triangle is cut by a line parallel to its base, the resulting two triangles are similar. That means corresponding sides are proportional (their ratios are equal).

There are several ways the ratios can be written, but I like to choose one that has the variable in the numerator. Here's the proportion and its solution.

  [tex]\dfrac{x+5}{16}=\dfrac{30}{20}\\\\x+5=24\qquad\text{multiply both sides by 16}\\\\x=19\qquad\text{subtract 5 from both sides}[/tex]

_____

Additional comment

Technically, the corresponding sides of the triangles would be ...

entire long side of larger triangle: ((x+5) +30) and long side of smaller triangle (30)entire short side of larger triangle (36) and short side of smaller triangle (20)

Since the parts labeled (x+5) and 16 are each the same fraction of their entire side, those parts are corresponding also, and will have the same proportion as other corresponding sides.

A sleeping bag weighs 6 pounds. Your backpack and sleeping bag together weigh 29 pounds. Use x as your variable to write an equation and solve your equation to determine the weight of your backpack without the sleeping bag.

Answers

Answer:

29 - 6 = x

x = 23

The backpack without the sleeping bag weighs 23 pounds

Step-by-step explanation:

Sleeping bag = 6 lbs

Backpack and sleeping bag = 29

Answer:
29 - 6 = x
x = 23
The backpack without the sleeping bag
weighs 23 pounds
Step-by-step explanation:
Sleeping bag = 6 Ibs
Backpack and sleeping bag = 29

Find the area of the shaded region.

Answers

the área of the shaded region is 450
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