A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet, what are the
lengths of each side of the playground?

Answers

Answer 1

Answer:

The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

Step-by-step explanation:

At first, let us find the perimeter of the playground

∵ Perimeter of a triangle is P = S1 + S2 + S3

∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft

S1 = 2x, S2 = x - 1, S3 = x

→ Substitute them in the rule of the perimeter above

∵ P = 2x + x - 1 + x

→ Add the like terms

∴ P = (2x + x + x) - 1

P = 4x - 1

∵ The perimeter of this playground is 27 feet

P = 27

→ Equate the two values of P

4x - 1 = 27

→ Add 1 to both sides

∴ 4x - 1 + 1 = 27 + 1

∴ 4x = 28

→ Divide both sides by 4

∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{28}{4}[/tex]

x = 7

→ Substitute the value of x in each side to find their lengths

∵ S1 = 2(7)

S1 = 14 feet

∵ S2 = 7 - 1

S2 = 6 feet

S3 = 7 feet

The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet


Related Questions

Bri goes to the movies and buys three items that together sum to $11.50. Two of the items she
bought cost $3 each. Write an equation to express how much money Bri spent at the movies.

Answers

Answer:

the answer is $5.5

Step-by-step explanation:

70 72 76 90 what will go before 90​

Answers

Answer:

78  

Step-by-step explanation:

Complete the statement. Explain your
reasoning
7
3
26
8 4 15 C

Answers

Answer:

132 degree

Step-by-step explanation:

a and b are parallel and c is a transversal

so 2 and 3 are interior and they both equal 180

so 3 = 180-48= 132

Answer:

m<3=138

Step-by-step explanation:

m<2=42

m<1=m<3

180-42=138

m<1=138 m<3=138

m<1 and m<3 are alternate interior angles

Quickest answer receives Brainliest, but try your best! Trolls will not receive Brainliest.

Q: The graph shows the cost C in dollars of w pounds of blueberries, a proportional relationship. Select ALL the true statements.

A. 1 lb (pound) of blueberries cost $2.75
B. 2.75 lbs (pounds) of blueberries cost $1
C. 5 lbs (pounds) of blueberries cost $15.50
D. 12 lbs (pounds) of blueberries cost $33
E. The point (3,9) is on the graph of the proportional relationship.

Answers

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

-TheUnknownScientist

HELP MEEEEEEEEEEEE WILL GIBE BRAINLISTTTTTTT

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is C, 2/9

Step-by-step explanation:

Since there 18 marbles in total and 4 blue marbles, that makes the probability 4/18. Although, 4/18 has to be simplified, which is 2/9

Will mark brainliest, PLEASE! A department buys 300 shirts at a cost of $1,800 and sells them for $10 each. Find the percent markup rounded to the nearest percent

Answers

Answer:

=166.66% markup

Step-by-step explanation:

1800/300 = $6 a shirt

If they're being sold for $10

10/6 =5/3

=1.666

x100

=166.66% markup

Answer check helpppp

Answers

Your correct can I get a brain list

Answer:

correct good job!!!

Step-by-step explanation:

Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding ?

Answers

Answer:

9280

Step-by-step explanation:

8000 x .16 + 8000

Bill takes a loan of $9000 at a 8% simple interest rate for 6 years.
A. How much interest will he pay after 2 years?
B. How much interest will he pay in total for the loan?

a. $ 720.00; $3,600.00
b. $36,000.00; $ 12,000.00
C. $1440.00; $4,320.00
D. $ 1,408.00; $4,224.00

Answers

Answer: you have to divide

Step-by-step explanation:

Jane has 34 candles leftover from the last craft show and Brianna has 2 candles. They are making more candles for the next show. Jane makes 24 candles per hour and Brianna makes 32 candles per hour. They are also going to use the candles leftover from the last show and want to have the same number of candles at their stalls for this show. Let represent the number of hours they need to work for this.

Answers

Answer:

plz

Step-by-step explanation:

thx

Answer:

its 4 hours

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP!! 2 QUESTIONS WITH FUNCTIONS PLEASE!! URGENT!

Answers

Answer:

(-2, 1)16x^2 - 16x + 4

Step-by-step explanation:

1.

Domain is the set of x-values

As per graph the domain is

x = (-2, 1)

2.

f(x) = 4xg(x) = (x - 2)^2

g(f(x)) is, replacing x with f(x) = 4x

g(f(x)) = (4x - 2)^2 ⇒ g(f(x))= 16x^2 - 16x + 4

What is the square root of 167 -8i -4i 4i 8i​

Answers

Answer:

12.922848

Step-by-step explanation:

I used my calculator

i will give brainliest if correct

Answers

Answer:

The surface area of the net shown is: 88 [tex]in^2[/tex]

Step-by-step explanation:

Break up the different shapes in the net:

Let's take the big square first:

It has a side of 5in and a base of 4in.

We multiply both these values to get 20[tex]in^2[/tex]

Lets look at the small rectangular box now:

It has a side of 3in and a base of 4in.

We multiply both these values to get 12[tex]in^2[/tex]

There are two big squares so we add up their surface areas:

20[tex]in^2[/tex] + 20[tex]in^2[/tex] = 40[tex]in^2[/tex]

There are 4 small rectangular squares so we add up their surface areas:

12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] = 48[tex]in^2[/tex]

Now we add up the big square and small rectangular squares values:

40[tex]in^2[/tex] + 48[tex]in^2[/tex] = 88[tex]in^2[/tex]

Therefore the answer is 88[tex]in^2[/tex]

Plz help Solve three and one half times one and two thirds


A) three and two sixths

B) four and two sixths

C) five and five sixths

D) six and five sixths

Answers

im pretty sure its b im sorry if i am wrong

Answer:

B

Step-by-step explanation:

Which number is a reasonable estimate for 826x64?
А
64,000
B
50.000
6,400
D
5,000

Answers

The answer would be c

How much interest is earned on a principal of $900 invested at an interest
rate of 13% for eight years?

Answers

Answer:

11700

Step-by-step explanation:

. A sample of 250 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution is relatively normal, how many cans will weigh over 14.7 ounces?

Answers

Answer:

40 cans weigh over 14.7 ounces

Step-by-step explanation:

Given

Mean = 14 ounces

SD = 0.7

We have to find the z-score for 14.7 first

[tex]z = \frac{14.7-14}{0.7}\\z = \frac{0.7}{0.7} = 1[/tex]

As we have to find the number of cans greater than 14.7, forst we will find the area to the left of obtained z-score and then subtract from 1.

So,

P(z<1) = 0.8413

Now,

P(z>1) = 1 - P(z<1) = 1-0.8413 = 0.1587

As the total number of cans is 250,

The cans which weigh over 14.7 are:

= 0.1587 * 250

= 39.675

Rounding off to nearest whole number

40 cans

Hence,

40 cans weigh over 14.7 ounces

Answer:

40 cans

Step-by-step explanation:

round your final answer to get 40


if c = 42 -d is true, then which is greater: cord, or are you not able to tell? Explain how you
know your choice is correct.

Answers

Answer:

what does d equal?

Step-by-step explanation:

(I'll be giving brainliest and extra points to who ever helps me!!)


Solve one and three fourths times two fourths.

A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths

Answers

Answer:

A.  fourteen sixteenths

Step-by-step explanation:

[tex]1\frac{3}{4} x \frac{2}{4}[/tex]

[tex]\frac{7}{4} x \frac{2}{4}[/tex]

[tex]\frac{14}{16}[/tex]

Hope I helped you out!

~PumpkinSpice1

♥☼☺

Answer:

A it didnt let me answer at first and it dose now

Step-by-step explanation:

2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?

Answers

10pieces = 5 weeks , to get how long it takes for 1 piece do 5/10 = 0.5, so 1 piece = 0.5 weeks the multiply them both by 18 to get how many weeks it would be so 18 pieces = 9 weeks

Solve x^2+ 8x- 6=0 using the Quadratic Formula

Answers

Answer:

x=−4+√22 or x=−4−√22

Step-by-step explanation:

Substitute all values in the quadratic formula.

Solve.

Answer:

[tex]\boxed {\sf x= {{ - 4\pm \sqrt{22} }}}[/tex]

Step-by-step explanation:

The quadratic equation is used to find the roots of a quadratic. The formula is:

[tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}[/tex]

when  [tex]{ax^2 + bx + c = 0}[/tex]

We are given the quadratic: [tex]x^2+8x-6=0[/tex]

If we compare the given quadratic to the standard form of a quadratic, then:

[tex]a= 1\\b=8 \\c= -6[/tex]

Substitute the values into the formula.

[tex]x = \frac{{ - 8\pm \sqrt {8^2 - 4(1)(-6)} }}{{2(1)}}[/tex]

Solve inside the radical first.

Solve the exponent.

8²= 8*8= 64

[tex]x = \frac{{ - 8\pm \sqrt {64 - 4(1)(-6)} }}{{2(1)}}[/tex]

Multiply 4, 1, and -6.

4(1)(-6)= 4(-6)= -24

[tex]x = \frac{{ - 8\pm \sqrt {64 - -24}}}{{2(1)}}[/tex]

Add 64 and 24 (2 negative signs become a positive)

64- -24 64+24=88

[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2(1)}}[/tex]

Solve the denominator.

[tex]x = \frac{{ - 8\pm \sqrt {88}}}{{2}}[/tex]

The radical can be simplified. 88 is divisible by a perfect square: 4

[tex]x= \frac{{ - 8\pm \sqrt {4}\sqrt{22} }}{{2}}[/tex]

Take the square root of 4.

[tex]x= \frac{{ - 8\pm 2\sqrt{22} }}{{2}}[/tex]

Divide by 2.

[tex]x= {{ - 4\pm \sqrt{22} }}[/tex]

The roots are: x=0.690416  and x=−8.69042

A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
33One-third%
50%
66Two-thirds%
200%

Answers

Answer:

50%

Step-by-step explanation:

10/20 is equal to 1/2, 1/2 can be rewritten as .50 or 50%

Solve for u.

-3u = -12.99

u =

Please Hurry

Answers

Answer: u = 4.33

Step-by-step explanation:

-3u = -12.99

-3u / -3 = -12.99 / -3

u = 4.33

4j + 4j − 6j − j = 12
Solve for J

Answers

J equals 12...........

Answer:

j =12 you have to combine like terms which is all and then it will give u 12

Train A leaves a station traveling at 28 km/hr. Two hours later train B leaves the same
station traveling in the same direction at 84 km/hr. How many hours will it take train B to
catch up to train A?

Answers

it will take 1 hour to catch up to train a but if the question means from as soon as train a leaves, it is 3 hours.

The time taken by train B to cover the distance of 56 km when the train at the station is in 1 hour.

What is kinematics?

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

Train A leaves a station traveling at 28 km/hr.

Two hours later train B leaves the same station traveling in the same direction at 84 km/hr.

The distance traveled by the train A in two hours will be

[tex]\rm D_A=28 \times 2 = 56 km[/tex]

Then the distance between the trains when train B is at the station is 56 km.

Then the relative speed of the train will be

[tex]\rm V_{BA} =84 - 28 = 56 \ km/hr[/tex]

Then the time taken by train B to cover the distance of 56 km is in 1 hour.

More about the kinematics link is given below.

https://brainly.com/question/25638908

41 times what would get you to 57?

Answers

Answer:

57/41

Step-by-step explanation:

41 * x = 57

x = 57/41

41 x 57 = 2,337 I hope it’s right

A line with a slope of 1/2 passes through (-5,-2). Write the equation of the line in standard form.

Answers

5-4 //jzbbxbxbzbbsjd jsjdjcn ñandú

Graph the line that contains the point (-3,1) with a slope of 2/3

Answers

Answer:

The graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.

Step-by-step explanation:

We know that the slop-intercept form of the equation is

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept.

Given the slope = m = 2/3, and point (-3, 1)

[tex]1=\frac{2}{3}\left(-3\right)+b[/tex]

[tex]-\frac{2}{3}\cdot \:3+b=1[/tex]

[tex]-2+b=1[/tex]

[tex]b=3[/tex]

so the equation of line will be:

[tex]y=mx+b[/tex]

[tex]y=\frac{2}{3}x+3[/tex]

Also, the graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.

I need help on this pls help me

Answers

Answer:

irrational numbers is in the red rectangle, rational numbers is outside both circles on the left, integers is in the purple circle, whole numbers is in the blue circle

false

true

true

true

Step-by-step explanation:

2+2=....... easy points...

Answers

Answer:

Either 4, 22, or 44

Step-by-step explanation:

Choose one :)

Thank you!

Answer:

4

2+2=4 it is easyyy

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