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

Answers

Answer 1

Answer:

Step-by-step explanation:

3*(4x - 3) = 63                         Divide both sides by 3

4x - 3 = 63/3

4x - 3 = 21                                Add 3 to both sides

4x = 21 + 3

4x = 24                                    Divide by 4 on both sides

4x/4 = 24/4

x = 6

Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)


Related Questions

Am I correct?? Please correct me

Answers

The correct answer is that the new store will have a profit of $ 5400 after its fifth month.

Profit is given by subtracting revenue minus cost:
(RC) (x) = (x² + 5x + 14) - (x²-4x + 5) = x²-x² + 5x - 4x + 14-5 = 5x + 4x + 14 -5 = 9x + 9

Using 5 for x, (RC) (5) = 9 (5) + 9 = 45 + 9 = 54

This is in hundreds of dollars, so it represents $ 5400.

A store manager receives a delivery of 10 boxes of lightbulbs. Each box contains 20 lightbulbs. The store manager tests all the lightbulbs in one of the boxes and finds that 4 of them are defective.

Which statement about the lightbulbs in the remaining boxes is best supported by this information?

Between 25 and 50 lightbulbs will be defective.


More than 80 lightbulbs will be defective.


Between 60 and 80 lightbulbs will be defective.


No more than 25 lightbulbs will be defective.

Answers

We can expect that there will be about 4 broken lightbulbs in each of the 10 boxes, which is 40 lightbulbs. This means between 25 and 50 lightbulbs will be defective.

Find the first 4 terms and the 10th term of 2n-1

Answers

Answer:

1) 1    2) 3   3) 5  4)7

Step-by-step explanation:

In the question it gives you the formula 2n-1

n= number or term for example 1

2x1-1=1

1, 3, 5, 7, 19 that is the first through forth terms and the tenth in that order

Please help me thank you if you do have a good day

Answers

Answer:

B. Getting faster

Step-by-step explanation:

Jaden's batting average is .214. Raul hits 24.3% of his pitches. Abraham hit 2 out of the 9 balls he was pitched. Mark hit 22% of the balls he was pitched. Who has the greatest batting average? Who has the least batting average?

Answers

Answer:

Raul has greatest batting average. Jaden has least batting average.

Step-by-step explanation:

Convert all the batting averages to a single unit so that comparison is easier.

Use percentages.

Jaden batting average:

= 0.214 = 214/1,000 = 21.4%

Raul = 24.3%

Abraham:

= 2 / 9 * 100%

= 22.2%

Mark = 22%

Raul has the greatest batting average.

Jaden has the least batting average.

Lins father is paying for a $20 dollar meal he has a 15% off coupon for the mean. After the discount, a 7% sales tax is applied. What does lins father pay for the meal?

Answers

Answer:

$3.21

Step-by-step explanation:

15% off 20 is 17 so 20-17=3

7% of 3 is 0.21 therefore, 3+0.21= $3.21

Pls I need help and don’t put that link

Answers

Bottom right:):):):)

On a survey, students reported how many minutes it takes them to travel to school. Here are their responses. 10,13 ,16 5,4 ,14 , Find the mean travel time for these students.

Answers

Answer:

Mean travel time = 10.33 minutes

Step-by-step explanation:

The mean of a distribution is a measure of central tendency that shows the centre of a set of data. Mathematically, it is represented as:

Mean = Sum of the terms ÷ Number of terms

Mean = (10 + 13 + 16 + 5 + 4 + 14) ÷ 6

Mean = 62 ÷ 6 = 10.33

∴ Mean travel time = 10.33 minutes

N:B 10.33 minutes = 10 minutes + 0.33 minutes

converting 0.33 minutes to seconds

1 minute = 60 seconds

∴ 0.33 minute = 60 × 0.33 = 19.8 seconds

∴ Mean time = 10 minutes 20 seconds

What are the opposites of 9, −2.7, 3.35, and 6
1
5
? Enter the answers in respective order, each separated by a comma.

Answers

Answer:

Step-by-step explanation: -9,2,-7,-3,-35, and -6

Increase 20g by 90%

Answers

Answer:

the answer is 38

Step-by-step explanation:

100-90=190

After watching the squirrels at the local park for several days, Sergei asks his science teacher the following question: "Do more squirrels live in maple trees or oak trees in the city park?”

Is Sergei's question a scientific question? Why or why not?

Answers

You can download answer here

tinyurl.com/wpazsebu

Can some help me with this problem

Answers

answer:

140000

step-by-step explanation:

you multiply 1.40*10^5

which equals 140000

good luck :)

i hope this helps

have a nice day !!

Answer:

140000

Step-by-step explanation:

to write this in regular notation, you move the decimal 5 places to the right (or just multiply 1.4 x 10^5)

I need help ring the center, radius, and diameter.

Answers

Answer:

(-2, 5), 6, 12

Step-by-step explanation:

Center: (-2, 5)

Radius: 6

Diameter: 12

A college professor's compensation package includes
$350-per-month health insurance plan, the total cost a $45-per-month life
insurance plan, and a salary of $65,000 per year. What is the yearly value of
the compensation package?
A. $69,740
B. $64,605
C. $65,395
D. $60,260

Answers

its c because you have to add all those numbers and it equals c

ilgram surveyed both a panel of Yale undergraduates and a panel of psychology professors before he conducted his original experiment. In these surveys, he found that __________.most people predicted that less than 1 percent of participants would go to 450 voltsmost people predicted that less than 10 percent of participants would go to 450 voltsmost people predicted that a majority of participants would go to 450 voltsstudents underestimated the percentage who would go all the way to 450 volts, while professors' estimates were fairly accurate

Answers

Answer:

The answer is "Choice A"

Step-by-step explanation:

Please find the numbering of the question in the attached file.

Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.

You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

distance = 6.19 * 3 mi/hr = 18.57 mile

Distance behind = 23 mile - 18.57 = 4.43 mile

c) time longer = 7.67 hour - 6.19 hour = 1.48 hour

Please help!!!!

Order these numbers from least to greatest.
6.1, 6.22, 6.202, 6.1021

Answers

Answer:

well played ahajkdjajkskdjdhdjskkskfjsiiskfks

2g-g+h-1 when g=5 and h=0
Show your work

Answers

The answer is 2(5)-5 +0 -1 =4

C)
(2a²b)² +3(a²b)²-x²(-3ab)²​

Answers

Answer:

7a^4b^2 -9a^2b^2x^2

Step-by-step explanation:

Given (2a²b)² +3(a²b)²-x²(-3ab)²​

Recall that (xy)^a = x^a * y^a

Hence (2a²b)² +3(a²b)²-x²(-3ab)²​

expanding the expression

= (2^2 *a^2+2 *b^2) + 3(a^2+2*b^2) - x^2(-3^2 * a^2b^2)

= 4a^4b^2 + 3a^4b^2 - x^2(9a^2b^2)

simplify

= 7a^4b^2 -9a^2b^2x^2

solve for x , (2x-1)=5(x+1)

no links​

Answers

Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

What number is obtained by increasing 10 10%​

Answers

Answer:

11

Step-by-step explanation:

Pretend 10 is 100. 10% of 100 would be 10, therefore 110. Since it's 10 instead of 100, it would be 11.

Step-by-step explanation:

hop it help u ..........

....

help with this homework

Answers

There is nothing here can you repost a picture ???
Error: picture needed

The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.

Answers

Answer:

(b) Probability that a student is male and attends concert = 22.95%

(c) Probability that a student is female and does not attend concert = 29.4%

(d) Probability that a student attends concerts = 42.55%

Step-by-step explanation:

P.S - The exact question is -

Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.

To find - (a) Make a tree diagram based on the information above.

               (b) Find the probability that a student is male and attends    

                    concerts.

               (c) Find the probability that a student is female and does not

                    attend concerts.

                (d) Find the probability that a student attends concerts.

Proof -

Let the total population of the high school = 100 x

Given that,

The students of a high school are 51% males

⇒Total males in the high school = 51% × 100 x

                                                      = [tex]\frac{51}{100}[/tex] × 100 x = 51 x

⇒Total males in the high school = 51 x

⇒Total females in the high school = 100 x - 51 x = 49 x

Now,

Given that,

Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.

⇒Total number of males that attend the concert = 45% × 51 x

                                                                                = [tex]\frac{45}{100}[/tex] × 51 x  = 22.95 x

⇒Total number of males that attend the concert = 22.95 x

And

Total number of males that do not attend the concert = 51 x - 22.95 x

                                                                                          = 28.05 x

⇒Total number of males that do not attend the concert = 28.05 x

Also,

Total number of females that attend the concert = 40% × 49 x

                                                                                = [tex]\frac{40}{100}[/tex] × 49 x  = 19.6 x

⇒Total number of females that attend the concert = 19.6 x

And

Total number of females that do not attend the concert = 49 x - 19.6 x

                                                                                             = 29.4 x

⇒Total number of females that do not attend the concert = 29.4 x

(a)

The tree diagram is as follows :

(b)

Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %

                                                                                          = 22.95%

⇒Probability that a student is male and attends concert = 22.95%

(c)

Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%

                                                                                                            = 29.4%

⇒Probability that a student is female and does not attend concert = 29.4%

(d)

Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%

                                                                        = [tex]\frac{42.55}{100}[/tex] ×100%

                                                                        = 42.55%

⇒Probability that a student attends concerts = 42.55%

Jack had four Snicker bars and 8 Mars bars. He randomly chose a piece of candy, ate it, then chose another. What is the probability that both candy bars were Snickers?
1/11
1/3
1/2
1/13

Answers

Answer:

1/3

If 4 are snickers and 8 are mars bars then 4/12 would be snickers so when you simplify 4/12 you get 1/3.

(hope this helps)

True or false; The radian value of 3n/2 corresponds to the positive y-axis?
True
False

Answers

Answer:

true

Step-by-step explanation:

The balance of Micah's checking account is $648. Micah needs at least $800 in the account to cover his expenses. Write and solve an inequality that tells how much money Micah needs to deposit. Explain why there are infinite solutions to the inequality. PlZZ answer asap

Answers

Answer:

152

Step-by-step explanation:

800-648=152

I need help on solving these problems.

Answers

Answer:

the fist one is A and the second one is D

Step-by-step explanation:

Help pls (8grade math)

Answers

Answer:

It's D. (1,-2)

Step-by-step explanation:

Answer:

The answer is B: (-1, 2)

Step-by-step explanation:

Imagine a mirror is placed along the y-axis.

Since a reflection is applied, the mirror coordinates would be the opposite of the original coordinates, just like a mirror is opposite of what you see when you look into it.

Original coordinates: (1, 2)

Mirror coordinates: (-1, 2)

Someone pls help im new to this so tysm if you do help:D

Answers

Answer:

-6

Step-by-step explanation:

_____ lateral faces of a rectangular pyramid are congruent.

Adjacent
Opposite
All of the

Answers

Answer:

Opposite

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