3(6k+5)+3(6k+4
The expression has to be equivalent.

Answers

Answer 1

Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4


Related Questions

slope=0, goes through the point (0,6)

Answers

Answer:

y=6

Step-by-step explanation:

no slope means no X or M in y=mx+b

leaves you with y=b which is whatever y is in the cordinate (x,y)

in this case, 6

Answer:

y=6

Step-by-step explanation:

We can use point slope form

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-6 = 0(x-0)

y-6 = 0

Add 6 to each side

y-6+6 = 0+6

y=6

Choose the appropriate condition for the following pairs of triangles to be congruent.

Answers

Excuse me but I’m going to need to see the multiple choices?

What is the equation of the line passing through the points (1, 5) and (0, -3)

Answers

Answer:

The equation of this line is y=8x-3, I hope this helps you! :D

Answer:

y = 8x - 3

Step-by-step explanation:

The point (0, -3) is the y-intercept. You can take this and calculate the slope using the other point. Then you can form the formula y = mx+b.

mike wants to buy the same number of balloons for 2 of his friends. her has $59, and each balloon costs $7. What is the largest number of balloons that mike buys for each friend

Answers

Answer:

4

Step-by-step explanation:

7x8=56 wich is the highest number it can go to

so 8/2=4

Here's a question ~

p1 and p2 are points on either of the two lines

[tex]y - \sqrt{3} |x| = 2[/tex]

at a distance of 5 units from their point of point of intersection. Find the coordinates of the foot of perpendiculars drawn from p1 , p2 on the bisector of the Angle between the given lines.​

Answers

Answer:

(0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

Observations:

It has a slope of ±√3 and the y- intercept of 2.There is no horizontal shift, so the the y-axis is the line of symmetry.The y-axis is also an angle bisector of the two lines.The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

arctan (1/√3) = 30°

The distance AY is:

AY = AP₂ cos 30° = 5*√3/2

The distance from the x-axis to the point Y is:

5√3/2 + 2, added the y- intercept of the graphed lines

The coordinates of the point Y:

(0, 5√3/2 + 2)

If l is parallel to m find the value of X (x+72)=(3x)

Answers

Answer:

x = 27°

Step-by-step explanation:

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

The solution to the above problem

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

To learn more about the angles of parallel lines refer to:

https://brainly.com/question/24607467

The heights of Karina, Miya and Clint were 155cm, 158cm, and 161cm respectively. What is the height of Roger if the mean of all of them is 158cm?

Answers

Answer:

The height of Roger is 158cm

Step-by-step explanation:

All of them=158cm

They are 4.So,158^4=632cm

Height of 3 persons=155cm+158cm+161cm=474cm

Therefore the height of Roger is 632cm-474cm=158cm

The height of Roger with the mean of all of them is given is 158 cm.

Given that, the heights of Karina, Miya and Clint were 155cm, 158cm, and 161cm respectively.

What is mean?

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Let the height of Roger be R.

Mean= 158 cm

We know that, mean =Sum of all the observations/Number of observations

⇒ (155+158+161+R)/4 =158

⇒ 474+R=632

⇒ R=632-474

⇒ R=158 cm

Hence, the height of Roger with the mean of all of them is given is 158 cm.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

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Solve the equation. 2p + 15 − 11p = 3(5 − 3p)

Answers

0=0

For the full explanation simply copy and paste your equation to your device browser.

Answer:

2p+15-11p=3(5-3p)

2p-11p+15=15-9p

-9p+9p=15-15

p£R

3.
Write an equation for the translation of y = |x|.

6 units left

A. y = |x + 6|

B. y = |x – 6|

C. y = |x| + 6

D. y = |x| – 6

Answers

The answer is: y = |x + 6|

At a local fitness, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?

Answers

Answer:

4 classes

Step-by-step explanation:

1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.

Cost = 3x + 6 for members

Cost = 4x for nonmembers

2. Set the equations to equal each other and solve.

3x + 6 = 4x

-3x         -3x

6 = x

3. Check your answer

4*6 = 24

(3*6) + 6 = 24

For 4 aerobics classes, the cost for members and nonmembers is the same.

What is the circumference of this circle?



A.

B.
(


4
)
C.

D.
(


2
)
E.
None of the above

Answers

Answer:

the circumference of circle is 2 πr

The sum of 8th term of an A.P is 160 while to sum of the 20th term is 880. Find the 43rd term​

Answers

Let a and d be the first term and common difference, respectively. Then

the 8th term is a+7d
the 20th term is a+19d

The sum of the first 8 terms is
(a)+(a+d)+(a+2d)+...+(a+7d) = 8a+28d

The sum of the first 20 terms is
(a)+(a+d)+(a+2d)+...+(a+19d) = 20a+190d

So

8a + 28d = 160
20a+ 190d = 880

40a + 140d = 800
40a + 380d = 1760
240d = 960
d = 4

8a + 112 = 160
8a=48
a =
6

The first term is 6 and the common difference is 4.

The 43rd term is a+42d = 6+42(4) = 6+168 = 174

The sum of the first 12 terms is
(a)+(a+d)+(a+2d)+...+(a+11d) = 12a+66d = 12(6)+66(4) = 72+264 = 336

The value of the 43rd term of the arithmetic sequence will be 482.

What is the sum of an arithmetic sequence?

Let a be the first term, L be the last term, n be the number of terms, and d be a common difference.

Then the sum of the arithmetic sequence will be

Sₙ = (n / 2)[a + L]

Sₙ = (n/2) [2a + (n − 1) d]

An A.P.'s eighth term is worth 160 while their twentieth term is worth 880.

160 = (8/2)(2a + 7d)

2a + 7d = 40                        ...1

880 = (20/2)(2a + 19d)

2a + 19d = 88                       ...2

From equations 1 and 2,

40 - 7d + 19d = 88

12d = 48

d = 4

Then the value of 'a' is given as,

2a + 7(12) = 40

2a = 40 - 84

2a = -44

a = -22

The value of the 43rd term is given as,

aₙ = a + (n - 1)d

a₄₃ = - 22 + (43 - 1)(12)

a₄₃ = - 22 + 42 x 12

a₄₃ = - 22 + 504

a₄₃ = 482

More about the sum of arithmetic sequence link is given below.

https://brainly.com/question/25749583

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Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points. Rebecca is currently at energy level 4. The results of her next 3 turns are: Turn 1: 6 trees cut Turn 2: 8 trees planted Turn 3: 1 tree cut Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.

Using only addition, write an expression that represents Rebecca's score after these three turns. (Remember that she starts at an energy level of 4.).

Answers

Answer:

After turn one she will have 0 points !

Step-by-step explanation:

After turn one she will have 0 points

After turn 2 she will have 8 points

After turn 3 she will have 7 points

She will not earn bonus points because she could not reach ten points

(Hope this helps can I pls have brainlist (crown)☺️)

suppose that 11 inches of wire costs 55 cents how many inches of wire can be bought for 25 cents

Answers

Answer:

5 inches of wire costs 25 cents.

Step-by-step explanation:

To answer this question, we want to find the unit price per inch of wire. Therefore, we need to divide the cost of the 11 inches (55) by the length of the wire (11):

55 / 11 = 5

So, 1 inch of wire costs 5 cents.

Now, to see how many inches can be bought with 25 cents, multiply 5 times both the 1 inch and 5 cents, which are the unit price to get:

5 inches of wire costs 25 cents.

Hope this helps :)

5 inches of wire cost 25 cents!

A number increased by 331 is equal to 761. Find the number.

Answers

Answer:

430

Step-by-step explanation:

761-331=430

Answer:

the answer would be 430 because you subtract 761-331=430

step by step explanation of
((3^-1)^-2 -2^3)^-1​

Answers

Answer:

SEARCH MO PARA MALAMAN MO HEHE

Complete this division sentence. 9988 ÷ 23 =

Answers

Answer:

434 R2

Step-by-step explanation:

Hope this helps

What is the missing statement in the proof?

Answers

a statement that defines who you are as a professional and what you hope to

I really need help i need this ASPA

Answers

Answer:

Vertical angles

Actually the correct answer should be Vertically opposite angles

The table below shows the amount of money
needed to buy different number of paint
buckets. What number should replace x?
Bucket Price
($)
5
25
6
30
7
X
8
40
II
Your answer
Explain how you got the answer you entered for #1. *
Your answer

Answers

Answer:

35

Step-by-step explanation:

if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35

A tablespoon is equivalent to about 4 teaspoons. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon vanilla. What is the unit rate in tablespoons
per cup?

Answers

Answer:

I understand the exercise is about unit rates, but why go out of the way to state false information? A tablespoon is exactly 3 teaspoons!

Anyway,

(1/2 tsp)/(2/3 cup) * (1tbsp)/(4tsp) = 1/2 * 3/2 * 1/4 = 3/16 tbsp/cup

Step-by-step explanation:

Ok

What is the slope of a line perpendicular to the line represented by the equation 2y=-6x+8

Answers

Answer:

First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.

2y = - 6x + 8

y = (-6x/2) + 8/2

y = - 3x + 4

The current slope is -3 or -3/1

The negative reciprocal is 1/3

Evaluate for b:

50 = -1/3b + 20

Answers

Answer:

=3000/53

Step-by-step explanation:

Someone please help me!

Answers

Answer:

Look when angle 3= angle B

It would make AD parallel to BC

Step-by-step explanation:

So go with

AD//BC

#BeBrainly

His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gross income. For Plan B, he can receive 1/60 of the company’s profit. Gross income is the total amount the company takes in. Profit is the difference of the gross income and expenses. The company’s expenses for one month are $100,000.

A) Write an equation for finding the gross income that would give Malcom Davis the same amount of money with either plan.

B) Solve the equation from Exercise A and interpret the solution.

C) How much would Malcom Davis receive when the two plans are the same?

D) If the gross income of the company is less than the amount from Part B, which plan would be better for Malcom Davis? Show work to support your answer.

Answers

Malcom Davis earnings is an illustration of equations and proportions.

The equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]The gross income must be $300000, for Dave to earn the same amount with either plan.His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

[tex]\mathbf{P= G - 100000}[/tex]

(a) The equations

For plan A, we have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income

For plan B, we have:

[tex]\mathbf{B = \frac{1}{60}P}[/tex]  ----1/90 of the company's profit

When both are the same, we have:

[tex]\mathbf{A= B}[/tex]

This gives

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]

Substitute [tex]\mathbf{P= G - 100000}[/tex]

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

(b) Solve the equation in (a), and intepret

[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]

Cross multiply

[tex]\mathbf{60G = 90G - 9000 000}[/tex]

Collect like terms

[tex]\mathbf{90G - 60G = 9000 000}[/tex]

[tex]\mathbf{30G = 9000 000}[/tex]

Divide both sides by 30

[tex]\mathbf{G = 3000 00}[/tex]

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

[tex]\mathbf{A = \frac{1}{90}G}[/tex]

Substitute [tex]\mathbf{G = 3000 00}[/tex]

[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]

[tex]\mathbf{A = 3333.33}[/tex]

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

Read more about equations at:

https://brainly.com/question/20893366

7. David needed to keep the weight of his
luggage below 50 pounds. After removing
12 lb. 8 oz. of items, his luggage weighed
47 lb. 10 oz. How much did his luggage
weigh before he removed items?

Answers

His luggage weighed 59lb. And 18oz. Before he removed the items

You can substitute a number for a variable and then find the value of the expression. This is called _________________ the expression.

Answers

A variable is a letter, for example x, y or z, that represents an unspecified number.

6+x=12

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.Step-by-step explanation:

What is the value of this??

Answers

Answer:

[tex]18[/tex]

Step-by-step explanation:

The value of 7 (10 - 2³) + 8 ÷ 2 is 18.

[tex]7(10 - {2}^{3} ) + 8 \div 2 [/tex][tex]7(10(2 \times 2 \times 2)) + 8 \div2[/tex][tex]7(10 - 8) + 8 \div 2[/tex][tex]7 \times 2 + 8 \div 2[/tex][tex]14 + 4[/tex][tex]18[/tex]Hope it is helpful.....

Nick is making a fruit salad. He buys apples for $1,29 per pound and oranges for $1.35 per pound. He spends no more than $12.
Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.
Which inequality represents this situation?
a.) 1.29x + 1.35y > 12 b.) 1.29x + 1.35y≥ 12 c.) 1.29x + 1.35 < 12 d.) 1.29x + 1.35y ≤ 12

Answers

Answer:

D 1.29x+1.35y≤12

Step-by-step explanation:

Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12.

Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.

1.29x+1.35y≥121.29x+1.35y≥12

1.29x+1.35y>121.29x+1.35y>12

1.29x+1.35y<121.29x+1.35y<12

1.29x+1.35y≤12

please do this for me

Answers

2x+3+51 = 100
2x+54=100
2x= 46
X=23
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