-7(k+9)=9(k-5)-14K

( Show work please )

Answers

Answer 1
Let's solve your equation step-by-step.−7(k+9)=9(k−5)−14kStep 1: Simplify both sides of the equation.−7(k+9)=9(k−5)−14k(−7)(k)+(−7)(9)=(9)(k)+(9)(−5)+−14k(Distribute)−7k+−63=9k+−45+−14k−7k−63=(9k+−14k)+(−45)(Combine Like Terms)−7k−63=−5k+−45−7k−63=−5k−45Step 2: Add 5k to both sides.−7k−63+5k=−5k−45+5k−2k−63=−45Step 3: Add 63 to both sides.−2k−63+63=−45+63−2k=18Step 4: Divide both sides by -2.−2k−2=18−2k=−9Answer:k=−9




Related Questions

Norma spent $13.25 on school supplies. She bought 3 binders that cost $3.75 each and some paper. Which equation could be used to figure out the cost of the paper? A. 13.25 = 3.75 + n B. 13.25 = 3.75 – n C. 13.25 = 3 × 3.75 + n D. 13.25 = 3 × (3.75 + n) i suck at math ;-;

Answers

i believe the answer is C,  13.25 = 3 x 3.75 + n 
since she bought 3 binders that cost $3.75 each, it's 3.75 x 3. add that to n, the cost of the paper, and you have the total amount Norma spent, $13.25
I think it’s c. Or D

{35 POINTS)What are the solutions of 2a^3-3a^2=8a-12 ?

Answers

Greetings!

[tex]2a^3-3a^2=8a-12[/tex]
Add -(8a-12) to both sides.
[tex](2a^3-3a^2)+-(8a-12)=8a-12-(8a-12)[/tex]
Simplify.
[tex]2a^3-3a^2-8a+12=0[/tex]
Rearrange.
[tex]2a^3-8a-3a^2+12=0[/tex]
Factor Out 2a.
[tex]2a(a^2-4)-3a^2+12=0[/tex]
Factor Out the difference of squares.
[tex]2a(a-2)(a+2)-3a^2+12=0[/tex]
Factor out -3.
[tex]2a(a-2)(a+2)-3(a^2-4)=0[/tex]
Factor Out the difference of squares.
[tex]2a(a-2)(a+2)-3(a-2)(a+2)=0[/tex]
Find Common Factor.
[tex](a+2)(a-2)(2a-3)=0[/tex]
Set Factors to Equal 0.
[tex](a+2)=0 \\ \\ (a-2)=0 \\ \\ (2a-3)=0[/tex]
[tex]a=-2 \\ \\ a=2 \\ \\ a=3/2[/tex]

Hope this helps.
-Benjamin

Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.

Solve 24 - 3 x = -27.

Answers

Answer:

17

Step-by-step explanation:

Given,

24 - 3 x = -27.

24+27 = 3[tex]x[/tex]

3[tex]x[/tex] = 51

[tex]x[/tex] = [tex]\frac{51}{3}[/tex]

[tex]x[/tex] = 17

Eight less than 1/3 a number n is -13

Answers

1/3n - 8 = -13 is the equation.

A robot can complete 3 tasks in 4/5 hour. Each task takes the same amount of time.

a. How long does it take the robot to complete one​ task?

b. How many tasks can the robot complete in one​ hour?

Answers

a. 16 minutes.
b. around 3.5 tasks.
Hello! I can help you with this!

a. Okay. So, it takes 4/5 hour (48 minutes) to complete 3 tasks. To find the answer, divide the amount of time by the number of tasks. 48/3 = 16. It takes the robot 16 minutes to complete 1 task.

b. So it takes 16 minutes to complete 1 task. To solve this, we can do 60/16. 60/16 is 3.75 or 3 3/4 in simplest form. But you can’t exactly count 3/4 as one task. The robot can only complete 3 tasks in one hour.

Is the graph of a function that relates a squares side length to its perimeter continuous or discrete

Answers

Side length can be written not only as integer, but also as mixed number, or fraction, so this quantity is continuous.

Examples of "discrete" would be {1, 5, 7, 8, 11, ...}:  all integer!


Vivian draws three right triangles in each figure she measures a pair of angles shown which conjecture is reasonable for Vivian to make

Answers

Here is the picture needed to answer this question. I need help with it as well, so please do help

complementary angles

Evaluate. 53−(648)+102 Enter your answer in the box.

Answers

I think the answer is -493.

The final result is 803.

To evaluate the given expression 53 − (−648) + 102, we need to follow the rules of arithmetic operations, particularly the order of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we look inside the parentheses. Since we have a negative sign before the parentheses, we understand that we are subtracting a negative value which is the same as adding its positive equivalent. So our expression will become 53 + 648 + 102.

Next, we perform the addition operation: 53 + 648 = 701 Adding 102 to 701: 701 + 102 = 803

The final result of evaluating the expression is 803.

A line passes through the points (6,5) and (2,2) . Select all that describe this line.

1. y − 5 = 3/4 (x − 6)
2. y − 5 = −4/3 (x − 2)
3. y − 2 = −3/4 (x − 6)
4. ​y − 2 = 3/4 (x − 2)​

Answers

The equations that describe the line passing through the points (6,5) and (2,2) are: [tex]1. y-5=\frac{3}{4}(x-6)$\\2. $y-2=\frac{3}{4}(x-2)$[/tex]

To determine which of these equations describe the line passing through the points (6,5) and (2,2), we can use the point-slope form of a linear equation:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line, and [tex]\left(x_1, y_1\right)[/tex] is one of the given points.

Let's find the slope using the two points:

[tex]\begin{aligned}& m=\frac{y_2-y_1}{x_2-x_1} \\& m=\frac{2-5}{2-6}=\frac{-3}{-4}=\frac{3}{4}\end{aligned}[/tex]

So, the slope of the line passing through these points is m=3/4

Now, let's plug in one of the given points into the point-slope form to check which equations match:

[tex]y-5=\frac{3}{4}(x-6)\\\text{If we plug in the point (6,5)} :\\& 5-5=\frac{3}{4}(6-6) \\& 0=0\end{aligned}$$[/tex]

This equation holds true for the point (6,5).

[tex]y-5=-\frac{4}{3}(x-2)\\\\text{If we plug in the point (2,2)} :\\2-5=-\frac{4}{3}(2-2) \\& -3=0\end{aligned}$$[/tex]

This equation does not hold true for the point (2,2).

[tex]y-2=-\frac{3}{4}(x-6)\\\text{If we plug in the point (6,5)} :\\& 5-2=-\frac{3}{4}(6-6) \\& 3=0\end{aligned}$$[/tex]

This equation does not hold true for the point (6,5).

[tex]y-2=\frac{3}{4}(x-2)\\\text{If we plug in the point (2,2)} :\\& 2-2=\frac{3}{4}(2-2) \\& 0=0\end{aligned}$$[/tex]

This equation holds true for the point (2,2).

So, the equations that describe the line passing through the points (6,5) and (2,2) are:

[tex]1. y-5=\frac{3}{4}(x-6)$\\2. $y-2=\frac{3}{4}(x-2)$[/tex]

Quick help: 7th grade hw question
"You are buying flowers to hand out at a school dance. Roses cost 30$ for a dozen but cost more if bought individually. With the money you have, you can buy 7 dozen and four single roses (64). How much is one rose? How much money do you have?

Answers

One rose is $2.50

You have $220

How I solved the total cost of one rose was I did 30/12 to get 2.5.

Then to solve my amount of money I have, I did 30 x 7 then I did 2.5 x 4 and added those totals together
.

3. The equation y = 12x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
Carl’s Earnings
Time (h) 3 5 8 10
Money earned ($) 45 75 120 150
(a) How much money does Carl earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes.

Answers

A can be answered simply by dividing the money earned by it's respective hours, showing that Carl makes $15/hour

B can now be easily answered as we know Louis makes $12/hour and Carl makes 15, the answer makes itself obvious

C can be made with the function y = 12x, labeling the x-axis hours and the y-axis money made
Final answer:

Carl earns $45 per hour. We cannot determine who earns more per hour without the earnings of Louis given. To represent Carl's earnings over time in hours, a graph can be drawn using the data points provided in the table.

Explanation:

To find the amount of money Carl earns per hour, we need to divide the money earned by the number of hours worked. So, for each data point in the table:

For 3 hours worked, Carl earns $45 per hour.For 5 hours worked, Carl earns $75 per hour.For 8 hours worked, Carl earns $120 per hour.For 10 hours worked, Carl earns $150 per hour.

From these calculations, we can see that Carl earns $45 per hour.

To determine who earns more per hour, we need to compare the amount of money Carl and Louis earn. Since we do not have Louis' earnings given, we cannot determine who earns more per hour.

Finally, to draw a graph that represents Carl's earnings over time in hours, we can plot the data points from the table on a graph with the x-axis representing time in hours and the y-axis representing money earned. Each data point will be represented by a coordinate (x, y), where x is the time in hours and y is the money earned. Connecting the data points will give us a graph that represents Carl's earnings over time.

Relationship A has a greater rate than Relationship B. This table represents Relationship B.
Hours worked (2 ) (4 ) (5 ) (8 )
Amount paid (30.40) (60.80) (76) (121.60)
Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x

Answers

The correct equation that could represent Relationship A, which has a greater rate than Relationship B, is A. y = 16.4x as it is the only rate per hour greater than that of Relationship B's $15.20 per hour.

The student's question concerns comparing rates of pay in two different linear relationships. Given the table for Relationship B, we can calculate the rate per hour for Relationship B and then compare this to the rates provided in the equations for Relationship A. By looking at the data provided for Relationship B, we can see that the rate is constant. For example, for 2 hours worked, the amount paid is $30.40, which results in a rate of $30.40 / 2 hours = $15.20 per hour.

Because Relationship A has a greater rate than Relationship B, we are looking for an equation where the rate (slope) is greater than $15.20 per hour. Therefore, we eliminate any option where the rate is less than or equal to $15.20. Looking at the provided options:

A. y = 16.4x

B. y = 14.9x

C. y = 15.4x

D. y = 15.2x

Since options B ($14.9 per hour), C ($15.4 per hour), and D ($15.2 per hour) have rates that are either less than or equal to the rate of Relationship B, they cannot represent Relationship A which has a greater rate. Therefore, the only possible option is A. y = 16.4x, which represents a rate that is greater than the rate we determined for Relationship B.

A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. How high up the wall does the ladder reach? Round the answer to the nearest tenth of a foot. 13.8 ft 23.8 ft 26.3 ft 80.9 ft

Answers

Answer:

B) 23,.8 feet

Step-by-step explanation:

It forms a right triangle.

We use the trigonometric ratio of cos to find the answer.

cos = adjacent /Hypotenuse

Here hypotenuse is the length of the ladder and adjacent side represent the ladder toughs the wall from the ground.

cos 18 = adjacent / 25

adjacent = 25*cos18

adjacent = 23.8 feet

Answer: B) 23,.8 feet

Hope this will helpful.

Thank you.

Answer:

B) 23.8 ft

Step-by-step explanation:

what are algebraic expressions?

Answers

Algebraic expressions are mathematical phrase that can contain ordinary numbers, variables, and operators.

An algebraic expression is a mathematical phrase that includes one or more variables. (Examples) 5+x
                                       n-7
                                       4*y,4 x y,4y
                                        n/2

90/ [10(3squared - 4)

Answers

90/ [10(3^2 - 4)]
= 90/ [ 10 (5)]
= 90/ 50
= 9/5
= 1.8

Which decimal number is equal to 7/9 0.7 0.7¯ 0.78 0.78¯

Answers

7/9 = 0.7¯

answer
B. 0.7¯

Answer:

0.7

Step-by-step explanation:

A section of a boardwalk is made using 15 boards. Each board is 9 1/4 inches wide. The total width of the section is 144 inches. The spacing between each board is equal. What is the width of the spacing between each board? Write your answer in simplest form.

Answers

You would solve it by doing
9 1/4 (15)+x=144.
You would find the space the boards take up and then subtract that from the total width.

Simplify 26/5(5/13b+10/26) .

Answers

The answer is 2b+2 hope this will help

Developing it says constructing equations from a table

Answers

the equation is y=2x+1.
to find b in y=mx+b you simply look for a point where x=0 which was (0,1) making the y-intercept or "b" equal to 1. to find the "m" or slope plug in any point for x and y. (9)=m(4)+1 is 2=m. so y=2x+1 is your answer.

Find unit rate. The tub fills with 12 gallons of water in 5 minutes?

Answers

2.4 gallons in 1 minute.

my book is 52 pages. I have already read 18 pages. I plan to read 10 pages each day until I finish the book.
Estimate about how many days it will take to finish reading the book.
A. 3
B. 7
C. 12
D. 30

Answers

52-18=34
34/10=3.4
Approx 3days
A.3

Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth. A. 51.9, 52, 49, 6 B. 52.9, 52, 49, 104 C. 51.9, 53, 49, 6 D. 52, 52.9, 49, 104

Answers

The answer is A.

Hope I helped.

What integer can be represented by 15 positive tiles and 16 negative tiles?

Answers

Your answer should be -1
Since each positive tile cancels out a negative tile (or vice versa), in the end you would end up with 16-15=1 negative tile.

1 negative tile is -1.

the integer that can be represented with this model is -1.

Hope this helps!

Solve the equation 3/7k=12/35

Answers

3/7k=12/35 is the answer to this question

Ron what to make a rectangle basketball court if the length is 4 whole number 3/4 yd and the width is 3 whole number is 2/5 yd. what is the area

Answers

A = L * W

A = 4 3/4 * 3 2/5.....turn them into improper fractions
A = 19/4 * 17/5
A = 323/20 or 16 3/20 yds^2 <==

You have a box that has a volume of 412 cm3 and weighs 42 g what is its density

Answers

The density is 0.1019g/cm3

2/2 + 1.75 - 176%

Enter your answer as an exact decimal or simplified fraction.

Answers

You simplify the expression i think this the answer

0.99

How do you use the distributive property to solve 24 + 36 using a(b+c) form

Answers

24 + 36

12(2 + 3)                     (take out common denominators)

12(5) = 60

24 + 36 = 60

True

hope this helps
Hey there! 

Answer:[tex]4(6 + 9)[/tex]

Because,
[tex]4 ( 6 + 9) \\ \\ 4(6) = 24 \\ \\ 4(9) = 36 [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

how many kilometers could 217 km red car travel in 12 hours write an equation to show your work

Answers

You would have 18.08 kilometers. In order to solve you have to divide two hundred and seventeen along with twelve.

Answer:

The required equation is: [tex]217\times 12=2,604[/tex]

The red car can travel 2,604 Km in 12 hours.

Step-by-step explanation:

Consider the provided information.

It is given that the speed of red car is 217 km\hr

We need to write an equation and find how many kilometers could red car travel in 12 hours.

The required equation is: [tex]217\times 12=2,604[/tex]

Hence, the red car can travel 2,604 Km in 12 hours.

explain how fractions strips can be used to find five fractions bequal to 3/6 list three equivalent fractions

Answers

1/2 , 4/8 , 12/24 , 50/100
Fraction strips can be used to find five fractions equal to 3/6 because it shows the different fractions that are equivalent to 3/6 by multiplication or division. It also shows the simple version of the number. 3 equal fractions to 3/6 : 1/2, 9/18, 15/30
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