Expand the following expression.

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!

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

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.

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

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Answer:

$192.5

Step-by-step explanation:

$275÷10=27.5

27.5×3=82.5

275-82.5=192.5

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!

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:

Answer: 1.625 inches of snow per hour

Step-by-step explanation:

13 divided by 8 is 1.625

Answer:

$4.06

Step-by-step explanation:

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

Answer:

250

Step-by-step explanation:

1 year= 2% of 500 (10)

25 years= 25*10

250

Hope this helps!

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

Answer:

$1,344 is her total.

Step-by-step explanation:

0.2 x 1120 = 240 + 1120

Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

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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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]

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

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.

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.

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.

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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

Answer:

10

Step-by-step explanation:

2 + 3 = 5

25/5 = 5

2 · 5 = 10

3 · 5 = 15

Answer:

X

Step-by-step explanation:

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:

Answer:

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

Y = -X + 9

Step-by-step explanation:

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

Answer:

22,000,000,002

Step-by-step explanation:

Hope it helps you

Answer:

Step-by-step explanation:

22,000,000,002

Answer:

13

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

If it helped, please mark as brainliest!