the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?

Help please

Answers

Answer 1

Answer:  x = 9/5 or  [tex]1\frac{4}{5}[/tex]

35 1/5 is the perimeter of the square and the triangle.

Step-by-step explanation:

The square has 4 sides, so the perimeter of the square is 4(x+3)

The triangle has 3 sides so the perimeter is 3(3x-1)

The perimeters are equal, so 4(x+3) = 3(3x-1)

Solve by distributing and then

4x +12 = 9x - 3  subtract 4x from both sides and add 3 to both sides

4x-4x +12 -3 = 9x-4x -3 +3  cancel the zero sums and combine similar terms.

9 = 5x  divide both sides by 5

x =  9/5

Check:  4(9/5 +3) = 3[3(9/5) -1]

36/5 + 3   = [3( 27/5  -1 ]   27/5 -3  -3 equivalent -15/5  27/5 -15/5 = 12/5

36/5 = 3(12/5)  = 36/5   TRUE!  simplify to mixed numbers

35 1/5 is the perimeter of the square and the triangle.

Answer 2

Answer:

u,

Step-by-step explanation:


Related Questions

Cierra had $9 to spend on 3 new
pencils for school. After buying
the pencils she had $3.85 left. How
much did she spend on each pencil?
Write an equation to represent
this situation and then solve.

Answers

Answer:

i don't know what the equation would be but hope this helped! 1.72 for each pencil

Step-by-step explanation:

9 - 3.85 = 5.15

5.15/3 = 1.72 for each pencil

Answer:

About $1.72 per pencil

Step-by-step explanation:

1. 9-3.85 = 5.15

2. 5.15/3 = 1.71 2/3 (1.7166666667)

3. $1.72/pencil

A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area?​

Answers

Answer:

272 inches squared

Step-by-step explanation:

272 square inches.

Because (2×8×2) + (2×8×12) + (2×2×12)  = 32 + 192 + 48 = 272

The capacity of one sachet pure water is 500ml. How many sachet of pure water is needed to fill a barrel of 5,685 litres capacity?​

Answers

Answer:

11370  sachet

Step-by-step explanation:

Answer:

11370 sachets

Step-by-step explanation:

Given parameters:

 Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L

Unknown:

Number of sachet of pure water needed to fill a barrel of 5685liters + /

Solution;

To find the number of sachet;

  500 x 10⁻³L will fill one sachet of pure water;

For 5685 liters, we would require  y sachet of pure water ;

    500 x 10⁻³y  = 5685

         0.5y = 5685

               y = [tex]\frac{5685}{0.5}[/tex]  = 11370 sachets

. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?

Answers

Answer:

58464

Step-by-step explanation:

Multiply the two numbers

Answer:

If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles

Step-by-step explanation:

To find distance dealing with time and speed, we can use the formula d=rt.

D= Distance

R= Speed

T= Time

Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles

Hope this helps! :)

The cost of 4 golf balls is $10. How much would it cost for 20 golf balls?

Answers

Answer:

50$

Step-by-step explanation:

4*5=20

it would be 50$ for 20 golf balls
4 golf balls for 10$ and
4x5=20
so 10$x5= 50$
The answer is 50$

solve: 1/3-m/2+m/6+7/9

Answers

Answer: −1 /3 m+ 10 /9

Step-by-step explanation:

10/9 - m/3 hope this helps

help ASAP. Which relation is a function?​

Answers

Answer:

Top right graph.

Step-by-step explanation:

In order for a graph to be a function, it must pass the Vertical Line Test. All the graphs fail to pass the Vertical Line Test except for the top right graph.

Each x-value must have only 1 y-value. No 1 x-value can hold 2 y-values.

A corporate team-building event costs $4 for every attendee. How many attendees can
there be, at most, if the budget for the corporate team-building event is $36?

Answers

It would be 9. Because each person has to pay 4$ so 9*4=36 or 36/4=9

Find the mass of the object if it has a volume of 20 mL and a density of 3 g/mL.

Answers

Answer:

60 g

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume

Plug in the volume and density, then solve for the mass:

D = m/v

3 = m/20

60 = m

So, the mass is 60 g

Given :

Volume of object = 20 mL

Density of object = 3 g/mL

To Find :

We have to find mass of the object[tex].[/tex]

Solution :

★ Density is defined as the mass of object per unit volume.

It is a scar quantity having only magnitude.

Mathematically, ρ = M/V

ρ denotes densityM denotes massV denotes volume

By substituting the values, we get

⭆ 3 = M/20

⭆ M = 3 × 20

M = 60 g

∴ Mass of the object is 60g.

Hope It Helps!

Evaluate the following: −3 − (−8).

Answers

Answer:

5

Step-by-step explanation:

When you have a negative next to a negative, you can turn it into a positive. For example the -(-8) would now be +8. This is called the airplane strategy because it forms a airplane if you flip you sheet of paper or your device.

From here, we have -3+8.

Now we subtract since each value has a different sign and we get +5.

Hope this helps!! :)

Answer:

5

Step-by-step explanation:

-*-=+

-*+=-

+*+=+

-3-(-8)=5

-3+8=5

Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a
quadratic function of the rectangle's width, A(w). What does the second coordinate of the vertex of the quadratic function.
A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area

Answers

Answer:

Opction b)

The maximum area that can be enclosed by the fencing

Step-by-step explanation:

I took the test

The solution is, A(w), represents the maximum area that can be enclosed by the fencing.

Here, we have,

If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...

 A(w) = w(150 -w) = -(w² -150w)

 A(w) = -(w² -150w +75²) +75²

 A(w) = -(w -75)² +5625

In this vertex form, the vertex is (75, 5625).

The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.

To learn more on Area click:

brainly.com/question/20693059

#SPJ7

Solve for x. 4(x+1)= -3x-10

Answers

Answer:

4x+4=-3x-10

   4x+3x=-10-4

      x= -14

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

P.E.M.D.A.S

4(x + 1) = 4x+4

now we have 4x + 4 = -3x - 10.

now we can combine like terms which are x

4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.

now we have this

4x + 4 = -3x - 10.

-4x          -4x

= 4 = -7x - 10

now we can isolate x by its self so we have to add 10 on both sides

4 = -7x - 10

+10       +10

and we get

14 = -7x

now we can divide -7 to get x by its self

14/-7 = -7/x

we get for our final answer

x = -2

Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?

Answers

Given parameters:

Distance traveled  = 1778miles

Average speed  = 61.7 miles per hour

Unknown:

Time taken for the travel = ?

Speed is a physical quantity. It is the rate of change of distance with time.

 It can be mathematically expressed as;

           Speed  = [tex]\frac{distance}{time taken}[/tex]

  The unknown here is the time taken;

   Substitute the parameters and solve for it;

      61.7  = [tex]\frac{1778}{ time taken}[/tex]

          time taken  = [tex]\frac{1778}{61.7}[/tex]   = 28.8hrs

The time taken is  28.8hrs

Answer:

the answer for this would be 30 hours.

Step-by-step explanation:

What is the domain and range of the function?

Answers

Answer: input values for the function.

Step-by-step explanation:

In Mr.Vargas 7th periodClass 12 out of 32 students received a failing grade what is the percentage of the students who passed

Answers

Answer: 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:32-12=20

20+12=32

Can you conclude with a high degree of confidence that the population means for Iowa and New Jersey students are​ different? A. Because of the extremely low p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different. B. Because of the extremely high p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. C. Because of the extremely low p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. D. Because of the extremely high p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different.

Answers

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that  

  The  95% confidence interval of the mean  score of all  New Jersey third graders  is  (58.957 ,  63.043)

   The sample size is  n =  184

   The sample average is  [tex]\mu = 65 \ points[/tex]

   The standard deviation is   [tex]\sigma  =  13 \ points[/tex]

    The  90%  confidence interval for the difference in mean score between lowa and New Jersey is  (-6.33 ,  -1.67 )

   The  p-value is  [tex]p-value  =  0.0048[/tex]

Generally given that the p-values is very low compared to the level of significance (100 -90 =  10% = 0.10 )  we can reject the null hypothesis which is usually a  claim that the means of the  population are the same )

Hence the population means are different .

The table shows expressions to represent the number of students involved in different activities. The number of students involved in sports and student council is equal to the number of students involved in band and drama club. Model the situation with an equation. Select the correct expression for each box. Then solve the equation.​

Answers

Answer:

6n + 7 = 7n

Step-by-step explanation:

Number of students involved in sports = 5n + 7

Number of students involved in student council = n

Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7

Number of students involved in band = 3n - 2

Number of students involved in drama club = 2(2n + 1)

Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n

Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:

6n + 7 = 7n

I'm very stuck, is this true? ​

Answers

Answer:

so im in a rush but to get this answer you need to sub those variables and then the first step would be the multiplication prop of inequality

Step-by-step explanation:

what is the slope of -1,3 and 3,15

Answers

Answer:

3

Step-by-step explanation:

Will Give brainliest plus 25 points

Answers

Plug in -4 for the x value, derive the equation at that value and see if it equals 6. If it equals anything other than 6, the set is not a solution

Write 4h(x) in standard form
What is it in standard form?

Answers

Answer:

The answer is 4 h ( x ).

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.


Using the diagram, determine whether the angles are vertical angles, a linear pair, or neither. (Image is included)

Answers

Answer:

1.linear pair

2. neither

3. vertical

4. neither

5. vertical

6. neither

7. linear pair

8. neither

Step-by-step explanation:

the answers are starting from up to down, not side to side

We have the definitions of the Adjacent angles, linear angles, vertical angles.

Two angles are considered to be adjacent angles when they share a common vertex, a common side, but no common interior pointsWhen two lines intersect each other at a single point, linear pair of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear.Two angles are said to be vertical angles when their sides form two pairs of opposite rays (straight lines).

So, from the figure we see that

<1 and <2 are linear pair  <2 and <4 are neither <6 and <8 are vertical <11 and <1 are neither<1 and <3 are vertical <4 and <5 are neither <8 and <9 are linear pair <10 and <7 are neither

Learn more:https://brainly.com/question/3182415

anyone here in brainly good at math?

Answers

Answer:

3/16 / 5/6 = 9/40

7 / 1/6 = 42

2 1/6 / 1 1/3 = 1  13/20

2 1/7 / 3/28   = 20

Compute please help

Answers

Answer:

- 3.46 + ( - 4.23 ) = 7.69

- 5.6 + 27.4 = 21.8

whats 8.546 rounded to the nearest one​

Answers

Answer:

9

Step-by-step explanation:

ok so first if the place you're rounding to is 5 or more you round up and if the place is 4 or less then it stays the same

8.5

5 is 5 or more so you round up

to 9

A rectangular garden is fenced on all sides with 272 feet of fencing. The garden is 8 feet longer than it is
wide. Find the length and width of the garden.
Pllzzzz help I will mark you as brainliest

Answers

Answer:

it should be 21 x 13

Step-by-step explanation:

Psychology 101: Is it normal for school age people to have crushes on their teachers or professors?

Answers

Answer:

it is normal, but not right to act upon

x times y equals 45.

What is x and y?

Answers

Answer:

9 and 5

Step-by-step explanation:

There are many answers

Answer:

There could be a different answer but this is what i got.

Step-by-step explanation:

1 x 45,

3 x 15,

or 5 x 9

Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?

Answers

Maggie would be 12 years old.

Explanation: math.

Have a good day <3
Maggie would be 12 years old

1. What are the opposite and absolute value of: a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____

Answers

Opposite value would be either changing from a positive to a negative or from a negative to a positive.

Absolute value is always a positive value

A) 7.2, -7.2, 7.2

B) -3.5, 3.5, 3.5

C) 5 1/2, -5 1/2, 5 1/2

Answer:

-7.2     7.2

3.5      3.5

-5 1/2   5 1/2

Step-by-step explanation:

Other Questions
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