MATHEMATICS HIGH SCHOOL

Solve:
3(x - 2) = 18

Answers

Answer 1
Answer:

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

3

= 8

Step-by-step explanation:

Hope this helps? :))
Answer 2
Answer:

\large\tt Step-by-step~explanation:

To solve for x, we have to isolate the variable.

\tt Step~1:

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

\tt 3*x=3x\n3*-2=-6\n3x-6=18

\tt Step~2:

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

\tt 3x-6(+6)=18(+6)\n3x=24

\tt Step~3:

Finally, we divide both sides by 3 to isolate x and get our answer.

\tt (3x)/(3)=x\n(24)/(3)=8\nx=8

\large\boxed{\tt Our~final~answer: ~x=8}

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Which two numbers multiply to 24 and add to 2?

Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the missing number in the sequence?

Answers

Answer: The missing number in the sequence is (7)/(6)

Step-by-step explanation:

Since we have given that

(1)/(6),(1)/(2),(5)/(6),----------,(11)/(2)

First term = a= (1)/(6)

Common difference = d is given by

d=a_2-a_1\n\n(1)/(2)-(1)/(6)\n\n=(6-2)/(12)\n\n=(4)/(12)=(1)/(3)\n\nSimilarly,\nd=a_3-a_2\n\n=(5)/(6)-(1)/(2)\n\n=(10-6)/(12)\n\n=(4)/(12)\n\n=(1)/(3)

Therefore, it forms an arithmetic sequence.

Since, a_4 is missing,

So,

a_4=a+3d\n\na_4=(1)/(6)+3* (1)/(3)\n\na_4=(1)/(6)+1\n\na_4=(1+6)/(6)\n\na_4=(7)/(6)

Hence, the missing number in the sequence is (7)/(6)
This is an arithmetic progression at a rate of 2/6. 

So 1/6 + 2/6 = 3/6 (1/2)
3/6 + 2/6 = 5/6
5/6 + 2/6 = 7/6
....
29/6 + 2/6 = 31/6 
31/6 +2/6 = 33/6 (11/2)

Whitch simplified fraction is equal to 0.53

Answers

The decimal .53 has the 3 in the hundredths place, so the fraction that this was originally is  (53)/(100).  When you divide 53 by 100 on your calculator, you will get backk .53
The most simple version of 0.53 in a fraction would be 53/100.

Since 53 is a prime number, we divide it between 100, and we get (53)/(100)

Hope this helped! c:

Help me plzzzzz
y=__×+__​

Answers

Y=-1/4x-6. There you go

If a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877, how much was the loan amount (rounded to the nearest hundred)?A. $120,100B. $100,300C. $144,200D. $134,200

Answers

Answer:

C. $144,200

Step-by-step explanation:

We have been given that a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877.

To find the loan amount, we will use simple interest formula.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

One month will be equal to 1/12 year.

7.3\%=(7.3)/(100)=0.073

Upon substituting our given values in simple interest formula, we will get:

877=P*0.073*(1)/(12)

877*12=P*0.073*(1)/(12)*12

10524=P*0.073

P*0.073=10524

(P*0.073)/(0.073)=(10524)/(0.073)

P=144164.3835616438356

Upon rounding to nearest hundred, we will get:

P\approx 144,200

Therefore, the loan amount was $144,200 and option C is the correct choice.

Given the box plot, Which of the median and mean will best describe of the center?Box plot with min at 11, Q1 at 22.5, median at 34.5, Q3 at 32, max at 37.5
A. The mean, because the data distribution is symmetrical
B. The mean, because the data distribution is skewed to the left
C. The median, because the data distribution is skewed to the left
D. The median, because the data distribution is skewed to the right

Answers

D is the correct answer. The data ranges from 11 to 37.5, but the median and Q3 are closer to the higher end. This means the data is skewed to the right, because the higher values are on the right of the axis.

An electrician has a spool of wire that is 200 m long. she needs four pieces of wire measuring 42.3 m, 37.8 m, 55.6 m, and 35.7 m. about how much wire will be left on the spool after she finishes her job? give your answer with the appropriate precision.

Answers

She needs exactly 42.3m + 37.8m + 55.6m + 35.7m = 171.4m for accomplishing her job, so there will be 28.6 m  (200m-171.4m)  of wire after she finished her work.
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