How many solutions does the equation have? 3(7x + 4 ) - 2x + 8 = 5x + 12

Answers

Answer 1

Answer:

One solution

Step-by-step explanation:

Well, let's find out by solving the equation for x and seeing how many possible values there are. Our answer could be no solution, one solution, or infinite solutions. So, let's get started by writing out our equation:

3(7x + 4 ) - 2x + 8 = 5x + 12

First, we'll distribute the 3 onto the values on the left:

3(7x) + 3(4) - 2x + 8 = 5x + 12

21x + 12 - 2x + 8 = 5x + 12

Now, we can combine like terms. They are underlined and boldfaced below:

21x + 12 - 2x + 8 = 5x + 12

21x - 2x + 12 + 8 = 5x + 12

19x + 20 = 5x + 12

Next, let's take away 5x from both sides:

19x - 5x + 20 = 5x - 5x + 12

14x + 20 = 12

Finally, we'll subtract 20 from both sides:

14x + 20 - 20 = 12 - 20

14x = -8

Now, all we have to do is divide both sides by 14.

14x/4 = -8/14

x = -4/7

It looks like there is only one solution for x: -4/7. Hopefully that's helpful!


Related Questions

Did I get this right originally? I think I did.

Answers

Yes you did great job

that’s what I thought first, but the things right. each x value IS associated with only one y value. If there was more than one arrow pointing from one x value, it wouldn’t be a function, because it would mean one x value has more than one y value. I hope that made sense!

A beach ball has a radius of 3 inches calculate volume

Answers

Answer:

113.1 in.³

Step-by-step explanation:

V = (4/3)πr³

V = (4/3) × 3.14159 × (3 in.)³

V = 113.1 in.³

20
18. Find the values of x and y in the parallelogram PQRS.
vat
PT = 2x, TR = y +3, QT = 3x, TS = 2y
T
27
2x
Р
S
0

Answers

Answer:

Step-by-step explanation:

You are buying mouthwash at your local store. The price of the mouthwash is $4.39. It is currently on sale for 20% off. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. What is your subtotal?

Answers

Answer:5.68 dollars amirikan

Step-by-step explanation:

Given that price of the mouthwash is $4.39. It is currently on sale for 20% discount. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. The subtotal you need to pay is $1.262.

What is discount?

The term discount refers to the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.

Discount  = Marked price - Selling price

The mouthwash is at sale for 20% off.

Cost price = $4.39

Discount = 20% of $4.39 = $0.878

Total discount = 20% off + store coupon + manufacturer's coupon = $0.878 + $1.000 + $1.250 = $3.128

Selling price = Marked price - Discount = $4.39 - $3.128 = $1.262

Learn more about discount here

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Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?

Please choose one of these choices.:

A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.

Answers

Answer:

A.

Step-by-step explanation:

If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it

Find the coordinates of the point 1/3 of the way from A to B

Answers

There is no photo not specific enough

Lori decied to save up for a trip.She put $1120 of her saving into a bank account. If she earns 2% interest how much will have alotgether after



help pls

Answers

Answer:

$1,344 is her total.

Step-by-step explanation:

0.2 x 1120 = 240 + 1120

Which system of inequalities is shown?

a.y > x
y > 2

b. y > x
y < 2

c. y < x
y < 2

d. y < x
y > 2

Answers

Answer: Choice C

y < x

y < 2

==================================================

Explanation:

The horizontal line is y = 2 since all points on this line have a y coordinate of 2. Eg: (0,2) and (5,2)

Since we shade everything below this line, we're describing the inequality y < 2. All points in the shaded region for this describe anything with a y coordinate smaller than 2. Eg: (7,1)

-------------

At the same time, we're also shading below the line y = x to form the inequality y < x.

So that's how we end up with this system

[tex]\begin{cases}y < x\\y < 2\\\end{cases}[/tex]

which describes the set of all points below the lines y = 2 and y = x. The dashed lines indicate that points on the boundary do not count as solution points. For example, (5,2) is not a solution because it rests on the upper horizontal boundary.

An item is on sale for 30% What would the new cost be if the item was originally $275

Answers

Answer:

$192.5

Step-by-step explanation:

$275÷10=27.5

27.5×3=82.5

275-82.5=192.5

The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if it’s unit place digit is 5.​

Answers

Answer:

65+56=121

Let no. be t5

reverse will be 5t

t*10 + 5 + 5*10 + t = 11t + 55 = 121 => 11t = 66 => t = 6

So no. = 65

Step-by-step explanation:

How much change from a $100 bill would you receive if you bought 6 concert tickets at $15.99 each?


$95.94


$15.99


$4.06


$1.23

Answers

Answer:

$4.06

Step-by-step explanation:

4.06
15.99 times 6 is 95.94
so subtract that from 100 and you get 4.06 so C will be you answer :)

Please help I think this is the wrong answer

Answers

Answer:

It is! The correct answer is -98/5 or -19.6

Step-by-step explanation:

What is the quotient of 1.155 x 10^5 and 1.65 x 102 expressed in scientific
notation?

Answers

Answer: 7.00x10^2

Step-by-step explanation:

Are you asking for the quotient of (1.155 x 10^5)/(1.65 x 10^2)?

If so, divide (1.155/1.65) = 0.7000.

Then subtract 2 (the bottom exponent from [tex]10^{2}[/tex]) from the top exponent:  [tex]10^{5}[/tex] becomes [tex]10^{3}[/tex].

Combine the two:  0.7000x10^3

Move the decimal point to the right by one:  7.00x10^2 (to 3 sig figs).

7 x 10² is the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific

notation.

To find the quotient of these two numbers in scientific notation, you divide the two significant figures and then subtract the exponents of 10. The calculation would be as follows:

(1.155 x 10⁵) / (1.65 x 10²)

Dividing the significant figures:

1.155 / 1.65

= 0.7

Subtracting the exponents:

5 - 2 = 3

So, the quotient in scientific notation is approximately:

0.7 x 10³

Which can also be written as:

7 x 10²

Hence, the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific

notation is 7 x 10².

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Choose the steeper line.
y=1/2x-3
or
y=1/4x -8

Answers

Hello!

y=1/2x-3 is steeper than y=1/4x-8.

We calculate the slope using Rise/Run.

The rise is 1, and the run is 2 (how many units we move left of right)

If you graph these lines, you will see that the line y=1/2x-3 is steeper than y=1/4x-8

Hope this helps!

~Just a cheerful gal

Answered by

[tex]SilentNature[/tex]

What is the rate of 13 inches of snow in 8 hours?

Answers

Answer: 1.625 inches of snow per hour

Step-by-step explanation:

13 divided by 8 is 1.625

I need help on 16 17 and 18

Answers

Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

Danny deposited $500 into a savings account that earns 2% interest annually. How much

money will he have after 25 years?

Answers

Answer:

250

Step-by-step explanation:

1 year= 2% of 500 (10)

25 years= 25*10

250

Hope this helps!

PLS HELP!!!!!
I WILL PUT BRAINLIEST!!!!!!

Which of these graphs represents a function?

Answers

Answer:

X

Step-by-step explanation:

Please help me please help mee

Answers

I’ve attached my work, hope it helps!

It takes Martin 20 minutes to walk 5 laps around the school track what is the unit rate that Martin walk around the school track

Answers

Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

A diameter of a circle measures 58cm. What is the length of its radius

Answers

Answer:

29cm

Step-by-step explanation:

a radius is half of a diameter so half of 58cm  is 29cm.

i hope this helps have a good day

Tangela bought 12 cans of sodas for $5.40

Answers

Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

5x+2y=10

slope=________

y-intercept=_________

y=x

slope=________

y-intercept=_________

Answers

Answer:

A)  -5/2 and 5

B) 1 and 0

Step-by-step explanation:

y=mx+b is the standard form:  m is the slope and b is the y-intercept.

5x+2y=10

y = -(5/2)x + 5  [Rearrange to standard format]

slope__-5/2__  

y-intercept__5___

===========

y=x

Slope = 1

Y-intercept = 0

An infant drinks about 30 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks

Answers

Answer:

840 Ounces

Step-by-step explanation:

4 weeks has 28 days. { 4 * 7 = 28 }

because an infant eats about 30 ounces of milk per day.

So 30 * 28 = 840 ounces

The baby drank about 840 ounces in 4 weeks.

The number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

Given that, an infant drinks about 30 ounces of milk per day.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here, number of days in 4 weeks = 4×7

= 28 days

Number of ounces of milk drank by infant

= 28×30

= 840 ounces

We know that, 32 ounces = 1 quarts

So, 840 ounces = 840/32

= 26.25 quarts

Therefore, the number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

To learn more about the metric conversion visit:

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The ages of two people add up to 25 and their ratio is 2: 3. What is the age of the younger person?

Answers

Answer:

10

Step-by-step explanation:

2 + 3 = 5

25/5 = 5

2 · 5 = 10

3 · 5 = 15

so i just added a similar question but the explanation was complicated so me and my mates need help with this one as well

Answers

Answer:

Y = -X + 9

Step-by-step explanation:

yeah-ya....... right?

Line c passes through points (4, 8) and (1, 13). Line d is parallel to line c. What is the slope of line d?

Answers

If the lines are truly parallel, then they should have the same slope. So, the slope should be 1.66667 (Rounded: 1.7)

2+2 1,000,000,000+1,000,000,000

Answers

Answer:

22,000,000,002

Step-by-step explanation:

Hope it helps you

Answer:

Step-by-step explanation:

22,000,000,002

Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.

A graph titled Distance from school has minutes since leaving home on the x-axis, and miles from school on the y-axis. A line labeled Chris goes through points (0, 4) and (15, 3). A line labeled Alex goes through points (0, 2) and (25, 1).

Which statement is best supported by the graph?
Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.

Answers

Answer:

Chris lives farther from school than Alex lives, and Chris walks to school at a faster rate than Alex

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

PLZZZZ HELPPPP MEEEEEE​

Answers

Answer:

13

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

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