The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.

Answers

Answer 1

Answer:

The value of x is 6

Step-by-step explanation:

The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side

∵ The perimeter of an equilateral triangle is 63 inches

P = 63 inches

→ By using the rule of the perimeter above

∵ P = 3 × S

→ Equate the right sides of P

3 × S = 63

→ Divide both sides by 3

S = 21 inches

The length of each side is 21 inches

∵ The length of each side is (4x - 3)

→ Equate (4x - 3) by the length of each side

4x - 3 = 21

→ Add 3 to both sides

∵ 4x - 3 + 3 = 21 + 3

∴ 4x = 24

→ Divide both sides by 4 to find x

x = 6

The value of x is 6


Related Questions

HELP PLEASE ANSWER 7

Answers

Answer:

f(x) = 7

Step-by-step explanation:

we use the bottom equation (4x+3) because

1 > 0

so

4(1) +3 = 7

The table shows the total number of U.S. participants in four high school sports over several school years. What was the percent decrease in basketball participants from 2013 2014 to 2014 ​2015?
The percent decrease in basketball participants from 2013 2014 to 2014 2015 is
​(Round to the nearest tenth as​ needed.

Answers

Answer:

Baseball 482,740 36,011 7.5% 2.2% 2.3% 2.9%

Basketball 540,769 18,816 3.5% 1.0% 1.0% 1.4%

Cross Country 269,295 14,303 5.3% 1.8% 1.4% 2.1%

Football 1,006,013 73,712 7.3% 2.9% 1.9% 2.5%

Golf 143,200 8,485 5.9% 2.0% 1.6% 2.2%

Ice Hockey 35,283 4,323 12.3% 4.8% 0.6% 6.8%

Lacrosse 113,702 14,603 12.8% 3.1% 2.5% 7.3%

Soccer 459,077 25,499 5.6% 1.3% 1.5% 2.7%

Swimming 136,638 9,799 7.2% 2.8% 1.2% 3.2%

Tennis 159,314 7,785 4.9% 1.6% 1.0% 2.3%

Track & Field 605,354 28,914 4.8% 1.9% 1.2% 1.7%

Volleyball 63,563 2,355 3.7% 0.7% 0.7% 2.3%

Water Polo 22,475 1,072 4.8% 2.7% 0.8% 1.3%

Wrestling 247,441 7,300 3.0% 1.0% 0.8% 1.2%

Women

Basketball 399,067 16,509 4.1% 1.3% 1.2% 1.7%

Cross Country 219,345 15,624 7.1% 2.7% 1.7% 2.7%

Field Hockey 60,824 6,119 10.1% 2.9% 1.4% 5.8%

Golf 79,821 5,436 6.8% 2.8% 1.9% 2.1%

Ice Hockey 9,650 2,531 26.2% 8.9% 1.1% 16.2%

Lacrosse 99,750 12,452 12.5% 3.7% 2.6% 6.2%

Soccer 394,105 28,310 7.2% 2.4% 1.9% 2.9%

Softball 362,038 20,419 5.6% 1.8% 1.7% 2.2%

Swimming 173,088 12,980 7.5% 3.3% 1.2% 3.0%

Tennis 189,436 8,596 4.5% 1.5% 1.0% 2.0%

Track & Field 488,267 30,326 6.2% 2.8% 1.5% 1.9%

Volleyball 452,808 17,780 3.9% 1.2% 1.1% 1.6%

Water Polo 21,735 1,217 5.6% 3.3% 1.1% 1.2%

Step-by-step explanation:

The percentage decrease in basketball participation from 2013-2014 to 2014-2015 is  0.35%.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Number of basketball participants in 2013-2014 = 974,398

Number of basketball participants in 2014-2015 = 970,983

Then, the percentage decrease in the participants,

% decrease = (974,398 - 970,983)/ 974,398 × 100

% decrease = 0.35%.

To know more about Percentage:

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1/20
What is the x-value of the system of equations shown below?
2x + y = 6
y = 3x - 4
3
-2.
2.
Music
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Answers

Answer:

x=2

Step-by-step explanation:

First you put the equations in the form of y = mx + b

Then once they are like that it would look like:

y = -2x + 6

y = 3x - 4

So then you can set them equal to each other and it will look like this:

-2x + 6 = 3x - 4

Then you add 2x to both sides and get:

6 = 5x - 4

Next, add 4 to both sides and get:

10 = 5x

So then you will simplify by dividing both sides by 5 and getting:

2 = x

x-2
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What is the value of the expression 30 − 9 + 3 − (12 ÷ 4)? Options: 18, 20, 21, 24.

Answers

Answer:

21

Step-by-step explanation:

well first do 12 divided by 4 is 3. than 30-9 is 21. then do 21 +3 is 24 than 24- 3 is 21. therefore your answer is 21.

Answer:

21

Step-by-step explanation:

i just took the test

A theatre has the capacity to seat people across two levels, the Circle and
the Stalls.
The ratio of the number of seats in the Circle to the number of seats in
the Stalls is 3:5
Yesterday, the audience occupied of the seats in the Circle and
all the 1520 seats in the Stalls.
Work out the percentage of occupancy of the theatre yesterday.
You must show how you get your answer.​

Answers

Answer:

C:S--------> 3:5

1520/5=304

3 x 304= 912

912+1520=2432

1520/2432 x 100

Ans = 62.5% seats occupied

Answer:

C:S--------> 3:5

1520/5=304

3 x 304= 912

912+1520=2432

1520/2432 x 100  

Ans = 62.5% seats occupied

How am I supposed to do this?

Answers

For literal equations you do not necessarily need a numerical answer. You just need to get the variable you are supposed to solve for on one side of the equation by itself. To do this you will follow the same steps you do when you normally solve for x (or any other variable)

#9-Step by step

Q=25[tex]\pi[/tex]h

divide 25[tex]\pi[/tex] on both sides of the equation

Q/25[tex]\pi[/tex]=h

h=Q/25[tex]\pi[/tex]

Since his can't be simplified any further this is your answer

#11. y=7m+6

First subtract 6 over to the other side

y-6=7m

then divide the 7 over

(y-6)/7=m

m=(y-6)/7

#13 A=(Z+7)3

Divide the three over to the other side of the equation

A/3=Z+7

Now the 7 is free to be subtracted from both sides

(A/3)-7=Z

#17. (2x/5)-9=6

First add 9 to both sides

2x/5=6+9

2x/5=15

Multiply both sides of the equation by 5

2x=5(15)

2x=75

Divide by 2

x=75/2

x=37.5

a student cost for last semester at her community college was $2200. she spent $308 of that on books. what % of last semesters college costs was spent on books

Answers

Answer:

We conclude that 14% of last semester's college cost was spent on books.

Step-by-step explanation:

The cost spent at community college = $2200

The amount spent on books = $308

The % of last semesters college costs was spent on books can be determined using the formula

% spent books on = [308 / 2200] × 100

                               = 0.14 × 100

                                = 14%

Therefore, we conclude that 14% of last semester's college cost was spent on books.

Find the length of ĀB.

A. About 3.6 units
B. 89 units
C. 13 units
D. About 9.4 units

Answers

Answer:

D. About 9.4 units

Step-by-step explanation:

[tex]ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units[/tex]

Help me!! I’m very bad at rounding numbers!! What’s 366 rounded to the hundreds place?? help ASAP!

Answers

Answer:

400

Step-by-step explanation:

Tge 6 in the tens place is greater than 5, so you round the 3 up to 4.

If the number that determines where you round is 5 or more, round up.

So 366 rounded to the hundreds place is 400.

The answer is 400.

Happy to help!!! :)

PLEASE I NEED HELP.

Which expression
uses the associative property to make it easier to evaluate
140 . )?
A. (141)
O B.76 : )
C. (143)
O D. 14 : )

Answers

Answer:

I believe it is D.

Step-by-step explanation:

The associative property switches around the order of the digits to make the problem easier. In my opinion it is easiest to multiply the fractions together, and then the whole number.

I think the answer is d

I neeeeeeddddd helppppppppppppppp

is this right?

Answers

Answer:

no the answer is 7.....

Answer:7

Step-by-step explanation:

27 divided by 3 is 9.

so

21 divided by 3 will give u the answer which is 7.

Determine if the pair of figures are congruent and select the appropriate theorem if applicable.

A
The figures are not necessarily congruent.
B
The figures are congruent via the SSS Congruence Theorem.
C
The figures are congruent via the ASA Congruence Theorem. D
The figures are congruent via the SAS Congruence Theorem.

Answers

Answer:

ASA theorem

As you can see there are ángeles and only a line

At the end of 2005, this price was `\$513.` At the end of 2015, it was `\$1060.` By what percentage did the price per ounce of gold increase?

Answers

Answer: The price per ounce of gold increases by 106.63%.

Step-by-step explanation:

Given: Price in 2005 = $ 513

Price in 2015 - $ 1060

Now , [tex]\text{Percentage increase in price}=\dfrac{\text{Change in price}}{\text{ Initial price}}\times100[/tex]

[tex]\Rightarrow\ \text{Percentage increase in price}=\dfrac{1060-513}{513}\times100\\\\=\dfrac{547}{513}\times100\\\\= 1.0663\times100\%=106.63\%[/tex]

hence, the price per ounce of gold increases by 106.63%.

Solve |2x - 3|< 7 help pls!!

Answers

Answer:

I think it is c, sorry if I am wrong.

Answer:

-2<=x<=5

Step-by-step explanation:

|2x - 3|< =7

-7<=2x-3<=7

-4<=2x<=10

-2<=x<=5

Help plz ! Find the slope of the line

Answers

Answer:

-2/1

Step-by-step explanation:


The tables represent linear relationships. Determine if each relationship is a
proportional or nonproportional situation please help

Answers

Answer:

5. proportional

6. nonproportional

Find the value of p and q such that
2x^2 - 4x + 3= 2 (x-p)^2 + q


PLEASE ANSWER!!!

Answers

Answer:

The values of p and q such that 2·x² - 4·x + 3 = 2·(x - p)² + q, are;

p = 1, q = 1

Step-by-step explanation:

The given equation are;

2·x² - 4·x + 3 = 2·(x - p)² + q

By expanding the right hand side of the equation, we have;

2·x² - 4·x + 3 = 2·(x - p)² + q = 2·x² - 4·p·x + 2·p² + q

2·x² - 4·x + 3  = 2·x² - 4·p·x + 2·p² + q

Comparing the coefficient of x in both equations, gives;

2·x² + (- 4)·x + 3  = 2·x² + (- 4·p)·x + 2·p² + q

-4 = -4·p

∴ p = -4/(-4) = 1

p = 1

Comparing only the constant terms (terms not multiplied by "x" or "x²"), we get;

3 = 2·p² + q

Substituting the value for "p" obtained above (p = 1 ) in the previous equation, we get;

3 = 2 × 1² + q  = 2 + q

∴ q = 3 - 2 = 1

q = 1.

Simplify this expression:

6x-8y-5x+3y

Answers

Answer:

x-5y

Step-by-step explanation:

Answer:

[tex]x-5y[/tex]

Step-by-step explanation:

[tex]6x-8y-5x+3y[/tex]

[tex]6x-5x-8y+3y[/tex]

[tex]x-5y[/tex]

Paula says that 2/3 is equivalent to 4/9 because 4 is a multiple of 2 and 9 is a multiple of 3. explain her error.

Answers

Answer:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

Step-by-step explanation:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.

Thus, the correction is as follows:

Given the fraction

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

Multiply the nominator and denominator of the fraction by 2

[tex]\frac{2\times 2}{3\times 2}=\frac{4}{6}[/tex]

Thus, the 4/6 is the correct equivalent expression of 2/3.

You purchase a remote-controlled drone for d dollars. Your friend purchases a drone that costs $35 more than your drone. Your brother purchases a drone that costs three times as much as your friend's drone. Write and simplify an expression that represents the cost (in dollars) of your brother's drone.

Answers

Answer:

[tex]Brother = 105 + 3d[/tex]

Step-by-step explanation:

Given

[tex]Drone = d[/tex]

Friend = $35 more expensive than yours.

Brother = 3 * as much as your friend

Required

Write an expression for the cost of your brother's drone

I'll solve by analysing the question one sentence after the other

You:

[tex]Drone = d[/tex]

Your friend:

Friend = $35 more expensive than yours.

This means

[tex]Friend = 35 + You[/tex]

Substitute d for You

[tex]Friend = 35 + d[/tex]

Your brother:

Brother = 3 * as much as your friend

This means:

[tex]Brother = 3 * Friend[/tex]

Substitute 35 + d for Friend

[tex]Brother = 3 * (35 + d)[/tex]

Open bracket

[tex]Brother = 3 * 35 + 3*d[/tex]

[tex]Brother = 105 + 3d[/tex]

36 flowers in 4 vases = flowers per vase?

Answers

The correct answer should be 9

Answer:

9 flowers per vase

Step-by-step explanation:

36 divided by 4 is 9

can i get brainliest plz

Your weekly base salary is $150. You earn $20 for each phone you taht you sell. The company policy is that as a part-time employee , the maximum you can earn each week is $950
Write and solve an inequality that represents the number of cell phones you can sell each week.

Answers

Answer:

You can sell at least 40 phones each week.

Step-by-step explanation:

Given that:

Weekly base salary = $150

Earning on each phone = $20

Maximum amount that can be earned each week = $950

Let,

m be the number of phones.

20m + 150 ≤ 950

20m ≤ 950 - 150

20m ≤ 800

Dividing both sides by 20

[tex]\frac{20m}{20}\leq \frac{800}{20}[/tex]

m ≤ 40

Hence,

You can sell at least 40 phones each week.

Which graph has a slope of 4/5?

Answers

Answer:

remake question and comment on this answer. don't forget the pictures of the graphs!

please dont answer random stuff for points

Answers

Answer:

now how did you knew people was doing it

Step-by-step explanation:

it C trust

Answer:

The answer is 28 (option D)

Step-by-step explanation:

Im big Brain

Please help it's easy!

Answers

Step-by-step explanation:

[tex] - \frac{1}{4} \times ( - \frac{6}{11} )[/tex]

[tex] \frac{1}{2} \times \frac{3}{11} [/tex]

[tex] \frac{3}{22} [/tex]

Answer:

3/22

Step-by-step explanation:

30 POINTS Math question algebra 2
Please, I would appreciate if you don't do unhelpful answers. I appreciate the help buddy :)

Answers

Answer:q=-6

Step-by-step explanation:

If the solution of the system is  {(x,y) : x-3y=4}, then both equation should have proportional coefficients:

[tex]1/2=-3/q=4/8[/tex]

Solve it:

1/2 = -3/q

q=-3*2

q=-6

Check whether q=-6 is correct answer, substituting this value into the first ratio:

[tex]1/2=-3/-6=4/8[/tex]

q=-6

hope this helps,

have a great day,

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Answer:

Q = 2

Step-by-step explanation:

If the solution to the system is the first equation only, then both equations should be same:

x - 3y = 4Qx - 6y = 8

Double the first equation, then both of coefficients of y and constant will be equal:

2x - 6y = 8Qx - 6y = 8

Comparing we get Q = 2

I NEED HELP FAST!!!!!!!!!!!!

Answers

Answer:

y=-3/4x-3

Step-by-step explanation:

y=mx+b

find the y intercept=b

y=mx-3

find the slope

y=-3/4x-3

help me pls...
I will give 20 points and brainly

Answers

Answer:

[tex]1 \times { 10}^{ - 9} m[/tex]

Step-by-step explanation:

It can be written in scientific notation as [tex]1 \times { 10}^{ - 9} m[/tex],

Hope this helps u.... ^_^❤️

Answer:

a) 1 nm = 0. 000 000 001 m

b) 1 nm = 1×10⁻⁹ m

plz help in 3 minuts

Answers

Answer:

2 11/24

Step-by-step explanation:

Answer:

2 11/24

Step-by-step explanation:

3/4 = 18/24

7/8 = 21/24

5/6 = 20/24

18 + 21 + 20 = 59

59/24

59 - 48 = 11

59/24 = 2 11/24

HELP ASAP I will mark brainliest

Answers

Answer:

option 4

Step-by-step explanation:

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