The perimeter of a rectangle is 208 inches. The ratio

of its length to its width is 5:3. What are the

dimensions of this rectangle?

A. 60 in by 44 in

B. 65 in by 39 in

C. 68 in by 36 in

D. 72 in by 32 in

Answers

Answer 1

Answer:

65 in and 39 in respectively

Step-by-step explanation:

Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle,  Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:

2(5r) + 2(3r) = 16r = 208 in

Then r = 208/16 = 13

Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),

or 65 in and 39 in respectively.

As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.

Then


Related Questions

Of the 520 students participating in a chess tournament, 35% were male. How many females were in the tournament?

Answers

Answer:

182

Step-by-step explanation:

take 520 and multiply by 0.35

The number of female students participated in a chess tournament is 338.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 520 students participating in a chess tournament, 35% were male.

Number of male students = 35% of 520

35/100 ×520

= 0.35×520

= 182

So, the number of female students

= 520-182

= 338

Therefore, the number of female students participated in a chess tournament is 338.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

what is the second equation for this??

Answers

Step-by-step explanation:

She spent nine dollars in the second equation, so it would be one adult ticket and two children's tickets, or 1x + 2y= 38

What is x=7 in slope intercept form
Please help

Answers

Answer: x=7 or undefined

Step-by-step explanation:

We can't write x=7 in slope intercept form, since it doesn't have an actual slope or y-intercept. You could put undefined, since the slope is undefined.

The president wife is leading a humanitarian mission.
A. presidents
B. president's
C. presidents'
D. presidentes'

Answers

Answer:

B

Step-by-step explanation:

Technically it's describing something that belongs to the president.

Answer:

A

Step-by-step explanation:

I chosen A because it is the right answer

Find the measure of

Answers

Answer:

180-43=137....................

which phrase represents 3y +9

Answers

please list the phrases if you would like to get an accurate answer :)

What are the x-intercept and the y-intercept of the graph of 9x − 7y = −63?

Answers

Answer:

x-intercept: 7; y-intercept: −9.

Step-by-step explanation:

Answer:

x=-7

y=-9

Hope I helped you

Vijay’s wages were increased from £115 per week to £130 per week.

What was the percentage increase to one decimal place?

Answers

Answer:

13%

Step-by-step explanation:

Increase = (New Number - Old Number) / Old Number

(130 - 115) / 115

15/115 = 0.130434783.

0.130434783 * 100 (to get the percentage) = 13.0%

I dont need the work just the answer pls :)

Answers

Answer:

[tex]\sqrt{29}[/tex]

Write the equation based on the graph

Answers

Answer:

3x+3

Step-by-step explanation:

rise over run and y-intercept

wyatt opend a savings account 4 years ago. the account earns 4%interest compounded quarterly if the current balance is $1,000.00 how much did he deposit initially round your answer to the nearest cent ​

Answers

Answer:

He deposited initially $852.82

Step-by-step explanation:

The rule of the compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where

A is the new amountP is the initial amountr is the rate in decimaln is the period of the timet is the time

∵ Wyatt opened a savings account 4 years ago

t = 4

∵ The account earns 4% interest compounded quarterly

r = 4% = 4 ÷ 100 = 0.04

n = 4 ⇒ compounded quarterly

∵ The current balance is $1,000.00

A = 1,000

→ Substitute these values in the rule above to find P

∵ 1,000 = [tex]P(1+\frac{0.04}{4})^{4(4)}[/tex]

∴ 1,000 = [tex]P(1+0.01)^{16}[/tex]

∴ 1,000 = [tex]P(1.01)^{16}[/tex]

→ Divide both sides by  [tex](1.01)^{16}[/tex]

∴ 852.8212622 = P

→ Round it to the nearest cent (2d.p)

P = 852.82

He deposited initially $852.82

Can someone tell me the answer and explanation plz I’ll give brainlist and points

Answers

Answer:

b

Step-by-step explanation:

I double checked, its b

What is the solution for -3x ≥ 36? x ≤ -12 x ≥ -12 x ≤ -108 x ≥ -108

Answers

Answer:

its a

Step-by-step explanation:

Answer

im postive its A:)

Step-by-step explanation:

Mariza é costureira e, para determinar o comprimento de elástico, em cm, que utiliza na confecção de determinado modelo de calça, ela recorre à expressão x2+2y . Nessa expressão, x e y são medidas que variam de acordo com o tamanho da calça a ser produzida. Para o tamanho P dessa calça, ela utiliza x=40 cm e y=15 cm

Answers

X = 40, Y = 15
40(2) + 15(2) = 80 + 30 = 110 :)

A bag of marbles can be shared equally among 3, 4, 5, 8 or 10 people with none left over. What is the smallest number of marbles that could be in the bag?

Please help this is due at 11:59

Answers

Answer:

120

Step-by-step explanation:

the lcm of those numbers is 120 I believe.

Pls help with the question in the picture

Answers

Answer:

Step-by-step explanation:

m∠ABC = [tex]\frac{1}{2}[/tex] m∠AOC = 54°

Answer: 54°

because ∠ADC is the  angle at the center of the arc AC and ∠ABC  is the inscribed angle of the arc AC

=> m∠ABC = 1/2. m∠ADC = 108/2 = 54°

Step-by-step explanation:

Which property is illustrated by the equation 3 (m n) = (3 m) n?
A. associative property
B. commutative property
C. distributive property
D. identity property

Answers

Answer:

its A   <33

Step-by-step explanation:

Christian walked directly south for 3.5
miles then walked 4.5 miles directly
east. How far is he from where he started

Answers

X is approximately equal to 5.7 miles

John paints 2 portraits in 8 hours, 3 portraits in 12 hours, and 5 portraits in 20 hours. Which statement correctly describes this situation?

Answers

Answer:

1 portrait is painted every 4 hours

Step-by-step explanation:

Okay so there aren't any statements but I realized that he paints 1 portrait every 4 hours

If this isn't an option comment them and I will try to see if any match up correctly.

What is a scale factor?


The ratio of weight of similar 2-D figures


The ratio of corresponding angles of similar figures


The ratio of corresponding sides of similar figures


The ratio of volume of similar 2-D figures

Answers

Answer:

Here is some helpful information from my mini lessons.

Step-by-step explanation:

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Here you'll learn that the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor. If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor. This means that the ratio of all parts of a polygon is the same as the ratio of the sides.

what is the value of f (4) if it is defined by f (x) =2x+3

Answers

Answer:

11

Step-by-step explanation:

Substitute 4 for x

2(4) +3

Answer:

11

Step-by-step explanation:

F(x) = 2x+3 is just a function, so if you replace one of the "x" with 4 you have to replace the other one so it just becomes

F(4) = 2(4) + 3 then you do 2(4) = 8 then add 3 to it and it gets you 11.

hope this helps

please help me! I am struggling lol

Answers

9x+45 = 10x - 120
X = 165

what’s the slope of (5,9) and (3,2)

Answers

Answer:

m=7/2

Step-by-step explanation:

15) A car salesman earns $700 per week plus 2.5% commission on his sales. If he
sold two cars for a total of $75,000 last week, how much did he make?

Please help!

Answers

Answer:

$2575

Step-by-step explanation:

For this problem, we need to form an equation that represents the car salesman's weekly income.  We are given that he makes at least $700 per week and that he makes 2.5% commission for his sales.  Let n represent the total amount of sales the car salesman made.  So we can build the equation as follows:

f(n) = 0.025n + 700

Note that if we let n = 0 (He made no sales) then he will make his minimum weekly income of $700.

So let's use our formula to calculate how much he made for the week given he made $75000 in sales.

f(75000) = 0.025(75000) + 700

f(75000) = 1875 + 700

f(75000) = 2575

Hence, the car salesman made $2575 for the week.

Cheers.

Plz somebody help me ?

Answers

Answer:

x = 10

Step-by-step explanation:

these are corresponding angles

4x = 3x + 10

x = 10

PLSSSSSS HELP ME I WILL GIVE BRAINLY

Answers

Answer: (2,2)

Step-by-step explanation:

The solution of the system of equations is the intersection point, or the point where both lines meet. Looking at the graph, we see that the blue and red line meet at (2,2). That means the solution is (2,2).

We can also solve this algebraically. Since we are given that y=x, we can plug that into the equation and solve.

y+2y=6       [combine like terms]

3y=6            [divide both sides by 3]

y=2

Since we are told that y=x, we know that x is also 2. This tells us that the solution is also (2,2).

The expression (-4)-1)(3)(-2) is equal to

Answers

-4 times -1 is 4
4 times 3 is 12
12 times -2 is -24

Sam has $40. He buys a book for $12.99 and a puzzle for $15.49.
Which equations can be used to find how much money Sam has left? And don’t understand.

Answers

Answer:

First Answer Yay

What is the solution to this system of equations?
5x + 2y = 29
x + 4y = 13

Answers

50 percent is c.x=5,y=2.

Answer:

X= 5, y= 2

Step-by-step explanation:

3) WeSell4Less car dealership has 175 cars in their sales lot. On average they sell 20% of their cars in a month. In the next month how many cars would should they sell? please help me solve this

Answers

Answer:

They should sell 35 cars next month.

Step-by-step explanation:

From the information given, you know that the dealership sells 20% of their cars in a month and you should calculate 20% of the amount of cars they have in their sales lot to know the amount of cars that they should sell next month:

175*20%=35

According to this, the answer is that they should sell 35 cars next month.

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