A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Select the equation that represents the scenario when x represents the side of the triangle.

Answers

Answer 1

Here's the solution :

Side of the equilateral triangle = x

Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

[tex]4(x + 10) = 3 \times 3x[/tex]

[tex]4x + 40 = 9x[/tex]

[tex]9x - 4x = 40[/tex]

[tex]5x = 40[/tex]

[tex]x = 8[/tex]

therefore, side of triangle = 8 cm

perimeter (triangle) = 8 × 3 = 24 cm

side of square = 8 + 10 = 18 cm

perimeter of square= 18 × 4 = 72 xm
Answer 2

Answer:

Let the side of the equilateral triangle = x

so the side of the square =  x+10

The perimeter of the triangle = 3x

and the perimeter of the square = 4(x+10)

condition : the perimeter of the square is 3 times the perimeter of the triangle.

so, 4(x+10) =  3*(3x)

Step-by-step explanation:


Related Questions

what is 5 +10 - 20 x 4

Answers

Answer:

-65 is the right answerrr

look at the screenshot i posted :) i need help

Answers

Answer:

either

Step-by-step explanation:

not sure what your options are, but XYZ & ABC are the same in price per member, so either club is good

How to find t=3,500•(1.10)^100, round to the nearest whole number

Answers

Answer:

To find 3,500 by near to 3,550

Step-by-step explanation:

the nearest number of 3,500 is 3,500

Find the reciprocal of 4

Answers

Answer:

reciprocal of 4 = 1/4

Step-by-step explanation:

By definition, a reciprocal of a/b = b/a.

Since 4 is the same as 4/1, then it's reciprocal must be 1/4.

Answer:

1/4

Step-by-step explanation:

because 4 = 4/1

reciprocal means to flip it upside down 4/1 = 1/4

the product of two rational numbers is 9.6 if one rational number is 66/7. find the other rational number

Answers

Answer:

0.1714

Step-by-step explanation:

just substract 9.6 from 66/7 which will give u the other rational number.

then add both the rational numbers to check ur answer.

66/7 + 0.1714 = 9.6

PLSS PLS PLSSS HELP ME WITH THIS I'M SOO TIRED OF SCHOOL I DON'T UNDERSTAND THIS SIGHH I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER THIS CORRECTLYY PLS AND TYY

Answers

Answer:

ew

Step-by-step explanation:

if six pencils cost 0.59 how many pencils can you buy for $2.95?

Answers

Answer:

5.

Step-by-step explanation:

how?

Divide 2.95 by 0.59 that would equal 5.

The list shows the thicknesses of several different types of art paper.
Thickness
(cm)
0.004
0.007
0.011
0.011
0.012
0.020
0.200
0.214
What is the range of this set of data?
O A. 0.055
OB. 0.210
OC. 0.214
OD. 0.218
O E. 0.498
Y

Answers

Answer:

B. 0.210

Step-by-step explanation:

Range is the minimum value subtracted from the maximum value. In this case 0.004 is the smallest value and 0.214 is the largest.

Range = 0.214 - 0.004 = 0.210 = B

The range set of the given data is 0.21.

The given data sets are,

0.004

0.007

0.011

0.011

0.012

0.020

0.200

0.214

We know that,

In statistics, the range is the difference between the highest and lowest values for a given data collection.

For instance,

if the given data set is 2,5,8,10,3, the range is 10 - 2 = 8.

As a result, the range can also be defined as the difference between the highest and lowest observations.

The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.

Now to find the range set pf the given data,

Subtract minimum value to maximum value

Since maximum value = 0.214

And minimum value     = 0.004

Then range set = 0.214 - 0.004

                          =  0.21

Thus, range of set  ⇒ 0.21

To learn more about statistics visit:

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Lydia is having a barbecue. Two containers of juice serve 10 people. How many containers of juice should she get to serve 40 people at the barbecue?

Answers

Answer:

4 containers

Step-by-step explanation:

4 containers of juice x 10 people= 40 people to serve

Jaden runs in a circle at constant speed
Radius is 30m. Time is 90s. What is the speed?

Answers

Answer:

hope i helped...if anythng not understood please write in the comments

7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23

Answers

Step-by-step explanation:

[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]

what does x equal using distributive property 1/3(x+6)=1/2(x-3)

Answers

Answer

x=21

Step-by-step explanation:

1/3+2=1/2x-1.5

2/6x+2=3/6x-1.5

-2/6+1.5 =-2/6x+1.5

3.5=1/6x

----- = -----

1/6      1/6

21

Answer:

The person in the comments was correct it is x=21

Step-by-step explanation:

hope this helps you if not please let me know

What is 0.579 x 10 to the power of 4

Answers

Answer:

5790

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

5790

Step-by-step explanation:

0.579 × [tex]10^{4}[/tex]

Calculate 10 to the power of 4 and get 10000.

0.579 × 10000

Multiply 0.579 and 10000 to get 5790

5790

What is the slope of a line perpendicular to the line whose equation is 3y + 2x = -5?

Answers

Answer:

I think the slope of the line is -2/3

$43.54 divided by 15.5 =

Answers

Answer:

2.01

Step-by-step explanation:

Ok,The answer is 2.8.

1
2
3
4
5
10
50
Which function has an inverse that is a function?
Ob(x) = x2 + 3
Od(x) = -9
Om(x) = -7x
O p(x) = 1x1
Which function has an inverse that is a function?

Answers

Step-by-step explanation:

an equation is a function, if it delivers for every possible input value x exactly one result value y.

b(x) = y = x² + 3

y - 3 = x²

x = sqrt(y -3)

our formally correct

y = sqrt(x - 3)

that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.

d(x) = -9

that means for every possible value of x the result is -9.

reversing this means that the input value of -9 has infinitely many possible results

that is NOT a function.

m(x) = y = -7x

x = -y/7

or formally correct

y = -x/7

that is a normal function. every possible value of x leads to exactly one value of y.

p(x) = y = 1x¹ = x

y = x is its own inverse function.

and this is, of course, a function. every possible value of x leads to exactly one value of y.

what is an equivalent ratio to 9:1​

Answers

Answer:

 Equivalent ratio of 9:1 is 18:2.

Mark me as the brainlist

Answer:

18:2 is equivalent

pretty sure

If a car travels 200km in 2.5 hours, how far would it travel in 6 hours at the same rate of speed?

Answers

Answer: 500km I believe

Step-by-step explanation:

hope this helps :)

Answer:

I think that the answer is 850

Step-by-step explanation:

find out how many km traveled 0.5 hours, then multiply by 12

percent change of 3.25 to 2.95​

Answers

Answer:

-9.23%

Step-by-step explanation:

.

In a class of 28 students, 12 students packed their lunch. At this rate, how many students out of 336 would be expected to pack their lunch?

Answers

Answer:

144 students

Step-by-step explanation:

12/28=3/7

3/7*336=144

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If out of 28 students, 12 students packed their lunch.

The number of students who packed their lunch out of 336 students is 144 students.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

3 miles in 3 hours.

1 mile in one hour.

We have,

In a class of 28 students, 12 students packed their lunch.

We can write this as:

28 students = 12 students packed lunch ______(1)

We have to make 28 students into 336 students.

This can be done by multiplying 12 on both sides of the equation (1)

Multiply 12 on both sides.

12 x 28 students = 12 x 12 students packed lunch

336 students = 144 students packed lunch

Thus,

The number of students who packed their lunch out of 336 students is 144 students.

Learn more about unit rates here:

https://brainly.com/question/11258929

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What is the value of the expression if q = 6 a n d r = 4

Answers

Answer:

66 (lmk if i'm wrong)

Step-by-step explanation:

9x6 + (16-4)

54 +12

66

A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in 1 hour?

Answers

Answer:

75 questions

Step-by-step explanation:

[tex]45[/tex] ÷ [tex]\frac{3}{5}[/tex] of an hour

[tex]\frac{3}{5} =36[/tex]

[tex]45[/tex] ÷ [tex]36[/tex] minutes

= 1.25

1.25 times 60 = 75 questions

Write that down the equation for the lines that is the graphs are depicted below

PLZ HELP 20 points

Answers

A(1,2)

Find slope of line (m)

[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=2[/tex]

Putting in y=mx+b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]

[tex]\\ \sf\longmapsto 2=2+b[/tex]

[tex]\\ \sf\longmapsto b=2-2=0[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=2x[/tex]

Answer:

y = 2x

Step-by-step explanation:

The line passes through the origin and holds the point A(1, 2).

This is a proportional relationship:

y = kx

Considering the coordinates of the point A:

2 = 1*k ⇒ k = 2

The line is:

y = 2x

What is the slope of the line represented by the equation y = 4/5x - 3?

Answers

4/5 aka up 4 out 5 (starting point is -3)

Number nine For twenty points

Answers

Step-by-step explanation:

a) 24÷12= 2 each person gets 2 cereal bar

b) 24÷6= 4 each person gets 4

c )0 There is no one there

d) Zero is undefined

Give M|N, find the value of x

Answers

9514 1404 393

Answer:

  x = 11

Step-by-step explanation:

The two marked angles are corresponding angles, so are congruent.

  7x+14 = 9x-8

  22 = 2x

  11 = x

__

Check

The angle measures are ...

  7(11) +14 = 77 +14 = 91 . . . degrees

  9(11) -8 = 99 -8 = 91 . . . degrees

Be Precise in the number 24.543, why is the value of each
4 different?

Answers

Because 1 of the 4’s is in the hundreths place (which is behind a decimal) when
The other 4 is in the 1s place

PLEASE I NEED HELP WITH THIS SO I CAN PASS

Answers

Guess ur not passing today

Answer:

the answer is------------ 1/4.4.4

The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Lions team in order from Least to Greatest.

Who was the captain of the Lions Team?

Answers

Chan, Caleb,Lydia,Ryan, Anya .

Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3

Answers

Answer:

y = - [tex]\frac{1}{3}[/tex]x + 4

Step-by-step explanation:

To find the slope of a perpendicular line, find the negative reciprocal of the slope.

The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]

________________

Then use point slope form to find the equation of the perpendicular line:

y - [tex]y_{1}[/tex] = m (x -  [tex]x_{1}[/tex] )

point = (6, 2)

slope = - [tex]\frac{1}{3}[/tex]

y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)

________________

If you want it in slope intercept form, you can just rearrange the equation:

y = 2 - [tex]\frac{1}{3}[/tex]x +2

y = - [tex]\frac{1}{3}[/tex]x + 4

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