find −3(2.5−k)+0.5(7+8k)

Answers

Answer 1
The solution to the problem is: x = (-2, -3)
Answer 2
First, distribute the parentheses:
(-3 * 2.5) + (-3 * -k) + (.5 * 7) + (.5 * 8k)
-7.5 + 3k + 3.5 + 4k

Combine like terms:
(-7.5 + 3.5) + (3k + 4k)
-4 + 7k

I don't see an equal sign so it's not an equation, just an algebraic expression, which means that the answer is -4 + 7k

Related Questions

Which fraction is closest to 1?
5/6, 11/20 or -9/10

Answers

5/6 is closest to 1.
if you change all the fractions to a common denominator then it will be easier to compare fractions. in this case the greatest common denominator is 60. you can find the the greatest common denominator by finding the greatest common factor of the numbers

5/6 = 50/60
11/20 = 33/60
-9/10 = -54/60

by doing this we can see that 5/6 is the closest fraction to 1. if you are confused on the -9/10 that is the closest to -1 not 1.

write a word problem that can be solved by ordering three decimals to thousandths include a solution

Answers

If I have a bolt that has a diameter of 1.125 inches and a hole that's 1.300 inches with a tolerance of +/- 0.025 inches, what's the larger even tolerance I can have on the bolt to ensure it will pass through the hole? Answer: +/- 0.150 inches.

Xavier worked 10 hours on Monday and 15 hours on Wednesday. His total pay was 280.00 what is his rate per hour

Answers

The answer is B, $11.20.
 
Number of hours worked on Monday = 10 hours
Number of hours worked on Tuesday = 15 hours
Total pay received by Xavier = $280
Total number of hours worked  = (10 + 15)=25 hours
                                                                
Rate per hour = 280/25 dollars per hour
                     
 11.2 dollars per hour (B)

Hope this helps! :)

Xavier's rate per hour is $11.20.

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Xavier worked 10 hours on Monday and 15 hours on Wednesday. His total pay was 280.00

Number of hours worked on Monday = 10 hours

Number of hours worked on Tuesday = 15 hours

Total pay received by Xavier = $280

Total number of hours worked  = (10 + 15) = 25 hours

Therefore, Rate per hour = 280/25 dollars per hour

                   

Hence, Xavier's rate per hour is $11.20.

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Graph ​
−7y+8=21x−6
​.

Answers

Answer:

y=-3x+2

To make it easier work the problem out first to get it to y=mx+b now graph it
Step-by-step explanation:

-7y+8=21x-6

-7y=21x-6-8

-7y=21x-14
y=-3x+2

The population of China is approximately 1.381 × 10^9, and the population of the United States is approximately 3.23 × 10^8. About how many people live in both countries combined? Express your answer in scientific notation.

Answers

Answer:

The population of China: 1.381 × 10^9=13.81 × 10^8

The population of the United States: 3.23 × 10^8

Total: 13.81 × 10^8 + 3.23 × 10^8 = (13.81 + 3.23) × 10^8 = 17.04 × 10^8

= 1.704 × 10^9

Step-by-step explanation:

The number of people living in both countries is an illustration of addition operation.

About [tex]\mathbf{17.04 \times 10^8}[/tex] people live in both countries

From the question, we have the following highlights

[tex]\mathbf{China = 1.381 \times 10^9}[/tex]

[tex]\mathbf{US = 3.23 \times 10^8}[/tex]

So, the population living in both countries is:

[tex]\mathbf{Total = China + US}[/tex]

Substitute known values

[tex]\mathbf{Total = 1.381 \times 10^9 + 3.23 \times 10^8}[/tex]

Factor out 10

[tex]\mathbf{Total = 1.381 \times 10 \times 10^8 + 3.23 \times 10^8}[/tex]

[tex]\mathbf{Total = 13.81 \times 10^8 + 3.23 \times 10^8}[/tex]

Factor out 10^8

[tex]\mathbf{Total = (13.81 + 3.23 )\times 10^8}[/tex]

[tex]\mathbf{Total = 17.04 \times 10^8}[/tex]

Hence, about [tex]\mathbf{17.04 \times 10^8}[/tex] people live in both countries

Read more about scientific notation at:

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Shakira went bowling with her friends .she paid $3 to rent shoes and then $4.75 for each game of bowling.if she spent a total of $21 , then how many games did shakira bowl ?

Answers

shakira bowled around 4 games

Answer: Shakira bowled 4 games.

Step-by-step explanation:

Hi, the total cost for Shakira (21) is equal to the multiplication of the price of each game of bowl  (4.75) and the number of games bowled (g), plus the cost of the shoes rental (3).

3 + 4.75 g = 21

Solving for g:

4.75 g = 21-3

4.75 g = 18

g= 18/4.75

g = 3.78 = 4 games (rounded)

Feel free to ask for more if needed or if you did not understand something.

5.6×10⁴ in standard notation

Answers

56,000 in standard notation

The equation 12x + 15y = 390 represents the total revenue during a one-day fundraiser. In the equation, x represents the number of youth T-shirts sold, and y represents the number of adult T-shirts sold. If there were 10 youth T-shirts sold, how many adult T-shirts were sold?

18 T-shirts
20 T-shirts
24 T-shirts
45 T-shirts

Answers

12×10+15y=390
120+15y=390
15y=270
y=18

So 18 adult t-shirts were sold

A culture of 1.08×1015 bacteria is in petri dish A. A culture of 2.7×1011 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B? Enter your answer, in standard notation, in the box

Answers

Culture in petri dish A is 1.08 x 10^15 and culture in petri dish B is 2.7 X 10^11. To determine how much greater petri dish A is from petri dish b, you must divide petri dish A by petri dish b. When you divide the two numbers, the answer is 4,000. The number of bacteria in petri dish A is four thousand times greater than the number of bacteria in petri dish B.

Answer:

4,000 times greater 4*10^3

Step-by-step explanation:

Yuki has a ribbon that is 11 1/4 feet long. She divides it into pieces that are each 1 7/8 feet long. She uses three pieces to make a bow. How many bows can she make in all?

Answers

 im not sure how exact it is but to solve it just get the same commen denominator as 1/4 to 7/8 that would be 3.5/4 so 11.25/1.75 would be 6.428 round down to 6 you can make 6 bows. goodluck

your answer should be 2 bows

The school gym can hold no more than 650 people. The bleachers will seat 176 people. The PTA is setting up 25 rows of chairs for their meeting. At most, how many chairs can be in each row?
A) 18
B) 19
C) 26
D) 27

Answers

B). 18 chairs at most. Can fit in each row. 

650 - 176 = 474

474 / 25 = 18.96

You cannot round in the situation because you can't have 18.96 of a chair. It's either whole or it's not going to be built. 

Answer:

A)18

Step-by-step explanation:

The number of chairs in the school gym can be represented by inequality 176 + 25c ≤ 650, where c represents the number of chairs in each row. When you solved for c, we find that c = 18.96. Since you cannot have a fraction of a chair, we know that the maximum number of chairs in each row must be 18.

Hope this helps!!!!!!!!!!!!!!!!!!!!!!!!

Which graph shows the solution of 9 - c < 2 or -3c > 15

Answers

get c by itself....

c >7 or c<-5

I don't see any graph so I can't help you anymore than that

Sean spelled 13 out of 20 words correctly on his srelling test. Write his test score as a percent.

Answers

Sean has scored a score of 65% on his spelling test
percent means parts out of 100
x%=x/100


so 13/20=x%
13/20=x/100
multiply both sides by 100 to find x
1300/20=x
130/2=x
65=x

his score as a percent is 65%

Help please!
-4x - 11
What is the answer is x = -15

A. -71
B. -49
C. 49
D. 71

Answers

-4(-15)-11
60-11
49
your answer is C

A movie theater charges $10.50 per ticket and $5 per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?

Answers

yes I think so I could be wrong but I think the answer is yes it is proportional 

Yes, the total price pay is proportional to the number of tickets.

What is proportionality?

In mathematics, proportionality indicates that two quantities or variables are related in a linear manner.

Since you never plan to buy the popcorn but only the movie ticket, therefore we can definitely say that there is a direct correlation between the total price and the number of tickets bought.

Since, 1 ticket = $10.50

So,

The proportion equation is:

P = 10.50 t

where P is the total price and t is the number of tickets

Hence,  the total price pay is proportional to the number of tickets.

More about Proportionality :

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PLEASE HELPPPPP
The expression 60(1+x) represents the total bill including the tip. What do the different parts of the expression represent? Match each expression to the correct description.

1) Cost of meal __
2) Tip percentage __
3) Number of friends __


a) x
b) (1+x)
c) 60

Answers

cost of the meal is 60, the number of friends is x, and the tip is 1+x

Answer:

1) Option c

2) Option b

3) Option a

Step-by-step explanation:

Given : The expression 60(1+x) represents the total bill including the tip.

To find : What do the different parts of the expression represent?

Match each expression to the correct description.

1) Cost of meal __

2) Tip percentage __

3) Number of friends __

Solution :

The expression represents the total bill including the tip is 60(1+x).

When we see the expression,

The cost of the mean is always fixed.

So, Cost of the meal is 60.

Number of friends is unknown.

So, Number of friends is 'x'.

The tip percentage is given by '1+x'.

Which statements about doubling an investment are true? Check all that apply.



An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.


An investment of $1,000 will double at an annual compound interest rate of 18% in 6 years.


An investment of $350 will double in 9 years at a compound interest rate of 8%.


An investment of $2,000 will double at a simple interest rate of 5% in 20 years.


An investment of $700 will double in 12 years at a simple interest rate of 6%.


Answers

this is the correct answer

Answer:

statement A, C, D, are true.

Step-by-step explanation:

We check all the statements by the rule of 72 to find which statement about doubling an investment are true.

Formula we use = [tex]\frac{72}{R}[/tex]  R = Rate of interest

Statement A :

An investment of $5,000 will double in 6 years at an annual compound interest rate of 12%.

 [tex]\frac{72}{12}[/tex] = 6 years

It will take 6 years to double the investment. This statement is true.

Statement B :

An investment of $1000 will double at an annual compound interest rate of 18% in 6 years.

[tex]\frac{72}{18}[/tex] = 4 years

It will take 4 years to double the investment. This statement is not true.

Statement C:

An investment of $350 will double in 9 years at a compound interest rate of 8%.

[tex]\frac{72}{8}[/tex] = 9 years

It will take 9 years to double the investment. This statement is true.

Statement D :

An investment of $2000 will double at a simple interest rate of 5% in 20 years.

Formula for Simple interest = (PRT)

                                           I  = (2000 × 0.05 × 20) = $2000

So the amount will be 4000 in 20 years. This statement is true.

Statement E :

An investment of  $700 will double in 12 years at a simple interest rate of 6%

Interest = ( 700 × 0.06 × 12 ) = $504

Amount after 12 years 700 + 504 = $1204. This statement is not true.

he linear inequality y < -
2
3
x + 2 is graphed. Determine a solution for the inequality.
A) (0, 2)
B) (3, 0)
C) (0, 0)
D) (0, 3)

Answers

The answer is C. (0, 0)

Solution of inequality is determined by the fact that if the given point is in the shaded region of the graph or not .  Dotted line in the graph shows that any point on that dotted line is not part of the solution . So here all those options which have the points in the shaded region but not on the line are solutions .

Therefore only C (0,0) is the correct option .

Check the image attached for better picture of what is explained.

which relation is a function?

Answers

the second one, functions cannot have multiple y values for one x value

A function is a relation which associates every element in the domain to a unique element in the codomain.

In option 1,

2 has more than one image, namely 3 and 7.

In option 3,

11 has more than one image, namely 9 and 5.

In option 4,

3 has more than one image, namely 8 and -2.

Hence, the correct option is 2, where every element in the domain has unique image.

How do you write 5.425 as a mixed number in simplest form

Answers

The answer is 17/40.

A teacher wants to calculate a class average on the last test. One student made a significantly lower score than the rest of the class because he failed to follow instructions. Which measure of center would be best for the teacher to use to get an accurate idea on how well the class as a whole performed on the last test?
A. mode
B. median
C. mean
D. range

Answers

Final answer:

The median is the best measure of center for the teacher to use to evaluate the overall performance of the class on a test when the data set includes an outlier.

Explanation:

The most appropriate measure of center for the teacher to use in this situation is the median. This is because the median is the best measurement when a data set contains outliers or extreme values that could significantly skew the mean. Since the dataset contains a student score that is significantly lower due to not following instructions, the median would provide a more accurate idea of how the class as a whole performed, as it is less affected by this outlier. On the other hand, the mode might not be as informative if most of the scores are unique, and the mean would be substantially affected by the low score. The range is a measure of spread, not center, and therefore not suitable for determining the average performance.

which of these skills do you think you could teach someone else select all that apply
A. finding the square and roots of numbers
B. identifying rational and irrational numbers
C. comparing values of rational and irrational numbers
D. evaluating perfect squares and cubes
E. using roots to represent solutions to equations

Answers

a,b,c,d,e. jxddddssssssssssssssss

Answer:

Every answer is correct lol

A point P has coordinates (-8, 2). What are its new coordinates after reflecting point P across the x-axis?

Answers

its new coordinates are (-8,-2). 

reflections across the x-axis are (x, -y)

Need help with this problem thank you!

Solve 6x-17= k for x

Answers

Basically, the question is asking us to isolate x. We can do this by first subtracting 17 from both sides. This gives us 6x = k + 17. Now, all that is left to do is divide both sides by 6, giving us x = 1/6x + 17/6. Therefore, since the answer cannot be simplified any further, the answer to your question is x = 1/6x + 17/6. Hope this helps and have a fantastic day!

help please
Mark as "Brainliest"

Answers

add the 2 sets of numbers

-5 +-7 = -12

-3 +-1 = -4

 Answer is B

Choose the symbol that completes the statement.

6/8 ____ 8/10

A: <
B: >
C: =

Answers

 the answer is C:= because when you draw the model if u draw it equally they line up properly

evaluate 2⋅(5^8/5^5)

Answers

First, you have to solve what is in the parentheses which also requires simplifying the exponents

2(390625/3125)

Now we can simplify everything in the parentheses

2(125)

Now just distribute into parentheses which is 250

what numbers are 5 units or more away from -2 on a number line

Answers

3 & -7 hope this helps you

Carter got the following scores on science tests: 90, 82, 88, 78, 93 What is the mean absolute deviation? A. 4.96 B. 12.00 C. 86.20 D. 88.00.

Answers

You would add up all the scores and divided by how many divers there are
90+82+88+78+93= 431
Divide by 5
86.20 is ur answer

Plot (4, −3/4) on the coordinate plane.

Answers

Answer:

[tex](4, \frac{-3}{4} )[/tex]

Step-by-step explanation:

To plot it is necessary to mark the point 4 for the x-coordinate and the point -3/4 for the y-coordinate. Since the order is [tex](x,y)\Rightarrow(4,\frac{-3}{4})[/tex] then check the graph below.

Answer:

I hope this helps! <3

Step-by-step explanation:

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