Mathematics College

Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format

Answers

Answer 1

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

  +21  +21

6x=24

/6    /6

x=4

X=24

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

Related Questions

Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?

Answers

Answer:

$11091.23

Step-by-step explanation:

Reword the situation:

She purchased a car for 18791 dollars 39 months ago.

As the 39 months passed she has been paying 197.43 a month.

How much does she still owe for her car?

First find out how much she's paid so far.

For 39 months she has been paying 197.43 a month

So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars

Now subtract amount she's paid so far from total price of car.

18791 - 7699.77 = 11091.23

She still owes 11091.23

HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?

Answers

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).

Answers

Answer:

$308

Step-by-step explanation:

I am not sure if this is correct. But try it and let me know if it was


5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?

Answers

Answer:

depends how much he chopped up

Step-by-step explanation:

Answer:

Nothing

Step-by-step explanation:

"5. Hamza chopped up

pineapple and gave ½ to his

mum. He also ate half himself.

How much was left to give to

his dad?"

1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0

Answer: There was nothing left for him.

what is the simplest from of the ratio 40:16 ?

Answers

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

What is the coefficient of the first term in this expression?
4r+q3r2+8q2r

Answers

Answer:

4

Step-by-step explanation:

guys help me with this question

Answers

Blank 1: 7

Blank 2: 3

Blank 3: 2

Blank 4: 2

Leah ran the mile in 12.08 minutes
on Tuesday. She ran the mile 1.42
minutes faster on Thursday. How
long did it take Leah to run the mile
on Thursday? PLEASE

Answers

Answer:

12.08-1.42=10.66

it takes 10.66 minutes on Thursday to run a mile

Years Since
1970
7
9
17
21
Cost in
Millions
0.1
0.25
0.5
0.75
1.2
1.5
2.2
2.0
2.2
25
29
30
31
33

Linear equations

Answers

Answer:

thanks for the points bye bye man is well with you and your family a very happy and prosperous New year

Step-by-step explanation:

thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in

thanks for the points bye bye man

help please. thank you very much

Answers

Answer: Offer B because it will cost less.

Step-by-step explanation: Hope this helps :)

find the inverse of -3y+5x=18

Answers

Answer:

  -3x +5y = 18

Step-by-step explanation:

The inverse relation is found by swapping x and y.

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!

Answers

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

simplify the fraction 90/100

Answers

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

Use the given conditions to write an equation for the line in slope-intercept form.



Passing through (5, 3) and (4, 6)

Answers

Answer:

y=-3x+18

Step-by-step explanation:

since they gave us two points, we can find the slope: (y_2 - y_1)/(x_2 - x_1) -> (6-3)/(4-5)=(3)/(-1)=-3 so the slope is -3. now we have [tex]y=-3x+b[/tex]. next we have to find b. to do this just plug a point into the equation: 3= -3*5 +b, 3=-15+b, b=18. so now we have y=-3x+18

23/24 as a decimal rounded to the nearest hundredth

Answers

Answer:

95.80

Step-by-step explanation:

hope I helped BESTIEE

Answer:

Step-by-step explanation:

23/24 as a decimal is 0.95833333333333.

please help me!!! I'll give you 40 points.
construct the bisector of the following figures​

Answers

Answer:

divide the given line into halves

What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3

Answers

Answer:

this is the answer....

Answer:

x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   = = x - -4.3016389  and x - 4.3016389

Step-by-step explanation:

1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3)  = (5/4x+3)  = ( 1/2x^2-6 5/6)  = (5/4x+3)  convert 5/4 to  12ths = *3 =  15/12  and 5/6 * 2 = 10/12 =  ( 1/2x^2-6 10/12)  = (15/12x+3)  = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0   = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2  (2)- 15/12x (2) -3 10/12 (2) = 0 =  x^2 - 30 /12x -6 20/12 (2) = 0  simplify irregular fraction  x^2 - 2 2/4x  -7 3/4  = 0  then do the abc quadratic formula = x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   =  x-  -17.2065556/4   = x - -4.3016389    and 17.2065556/4 =x - 4.3016389

pls answer this .............

Answers

Answer:

Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always

Step-by-step explanation:

3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.

2x + 2x + 80 = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 25º

so then:

2x = 2*25

2x = 50º

and:

2x + 80 = 50 + 80

2x + 80 = 130º

Help me poeaseeeeeeeeeeee

Answers

Answer:

C. Hope It's Help :)))))

Answer:

4.5

Step-by-step explanation:

∛100 = ?

100 = 2 x 2 x 5 x 5

∛100

= ∛ ( 2 x 2 x 5 x 5 )

= 4.642

4.642 ~ 4.5

The approximation 4.642 can also be written as 4.5

Therefore,

∛100 = 4.5

What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive

Answers

Answer:

B-NO CORRELATION.....

Evaluate the equation 15d = -105

Answers

Answer:

Step-by-step explanation:

    15d = -105

15d/15 = -105/15

        d = -7

15d = -105

d = -105/15

d = -7

____

RainbowSalt2222 ☔

Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?

Answers

Answer:

ñ

Step-by-step explanation:

ñ

Any hot topic online promo codes???​

Answers

try YAY50, brainliest?

Pls answer my questions on this pic here
(must include the math work)
i will give brainlist for the most helpful answer

Answers

Answer:

252, 1 1/4, 308, 1 1/2

Step-by-step explanation:

5. The kitchen is 2 1/4 in by 1 3/4 in. 2 1/4in = 9/4in = 18ft. 1 3/4in = 7/4in = 14ft.

So we have 18ft by 14ft. The area is one side multiplied by the other side:

18 × 14 = 252ft^2.

6. 10/2 = 5. 5/4 in = 1 1/4in.

7. Bedroom 2 is 1 3/4in by 2 3/4in. 1 3/4in = 7/4in = 14ft. 2 3/4in = 11/4in = 22ft.

14ft × 22ft = 308ft^2 of carpet.

8. 12ft/2 = 6. 6/4 = 1 2/4 = 1 1/2 in.

Hope that helps!

>> Answer

__________

[tex] \: [/tex]

Answer in the picture.

*HIGH SCHOOL* please help me with this

Answers

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)

Answers

Answer:

34

26

8

Step-by-step explanation:

 

A pack of dog food that weighs 5 kg cost $20. A smaller pack of dog food that is 500 g costs $2.50. Which one has better value?

Answers

Answer:

Step-by-step explanation:

      $20 / 5 kg = $4 / kg

$2.50 / 0.5 kg = $5 / kg

the big bag is a better deal

Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.

Answers

22 because you take the smallest and largest number and subtract them so you do 81-59=22

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates

Answers

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

This morning, the owner of Sam's Spaghetti House withdrew $180 from the restaurant's bank account to pay for an oven repair. This afternoon, he deposited $430 from lunch sales.
What is the total change in the restaurant's bank account relative to where it started?

Answers

Answer:

he had $250.00 more at the end of lunch

Step-by-step explanation:

Other Questions
THIS IS DUE LIKE REALLY SOON I RLLY NEED HELP :,) solve for x. round to the nearest tenth of a degree, if necessary Grady, Inc. manufactures model airplane kits and projects production at 650, 500, 450, and 600 kits for the next four quarters. Direct materials are 4 ounces of plastic per kit and the plastic costs $1 per ounce. Indirect materials are considered insignificant and are not included in the budgeting process. Beginning Raw Materials Inventory is 850 ounces, and the company desires to end each quarter with 10% of the materials needed for the next quarters production. Grady desires a balance of 200 ounces in Raw Materials Inventory at the end of the fourth quarter. Each kit requires 0.10 hours of direct labor at an average cost of $10 per hour. Manufacturing overhead is allocated using direct labor hours as the allocation base. Variable overhead is $0.20 per kit, and fixed overhead is $165 per quarter. Prepare Gradys direct materials budget, direct labor budget, and manufacturing overhead budget for the year. Round the direct labor hours needed for production, budgeted overhead costs, and pre-determined overhead allocation rate to two decimal places. Refer to the budgets prepared. Determine the cost per kit to manufacture the model airplane kits. Grady projects sales of 100, 150, 100, and 200 kits for the next four quarters. Prepare a cost of goods sold budget for the year. Grady has no kits in beginning inventory. Think about the things you do on a regular basis. What values are reflected in your daily activities? which term refers to the mix of nations, economies, and cultures? Consider this equation. 7. 8 2(0. 75m 0. 4) = -6. 4m 4(0. 5m - 0. 8) Mia solved the equation and determined that m = 2. Is she correct? She is incorrect because when substituting 2 for m the result was a true statement. She is incorrect because when substituting 2 for m the result was a false statement. She is correct because when substituting 2 for m the result was a true statement. She is correct because when substituting 2 for m the result was a false statement. Question 27Fred weighs 150 lbs and expends 5.2 calories per minute walking at a brisk pace. Howmany calories would Fred burn is he walked for 60 minutes Simplify 9 - 3(5-4x) What does auf Wiedersehen und einen schnen Tag noch mean in German. Procter & gamble offers tide detergents, charmin bathroom tissue, crest toothpaste products, and pampers diapers, as well as a host of other household brands. These products all represent a. Which answer best describes one way that territorial gains affected the United States?They hampered technological development.They promoted economic growth.They brought renewed conflict with Britain.They created a large national debt. Find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.y = ? fraction and percent word problemFrom 2012 to 2014, the cost of limes fell by 20%. Farmers increased the cost of limes by 20% from 2012 to 2013. How much did the cost fall from 2013 to 2014, after the farmers were removed?(A) 20%(B) 33.3%(C) 50%(D) 66.6%(E) 80% What was important about the election of 1800?It established that when a new president is elected, the one currently in office respects the will of the people.It allowed the House of Representatives to overturn the presidential election if they disagreed with the vote of the people.It set a precedent that enslaved people counted as part of a state's voting population.It created a system in which the number of electoral votes from northern states always equaled the number of votes of southern states. 2 times a number less 4 is 20 I like oranges and she (like)__________ apples. *A. likeB. to likeC. likesD. liking suggest me anime genre : adventure ecchi what does cling mean in this passage the weight of a box having of 100 kg is __n Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?