Sebastian bought snacks for his team': practice. He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?

Step 1: Simplify both sides of the equation.

5x−15−(2x+5)=3x−20

5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)

5x+−15+−1(2x)+(−1)(5)=3x−20

5x+−15+−2x+−5=3x−20

5x+−15+−2x+−5=3x+−20

(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)

3x+−20=3x−20

3x−20=3x−20

Step 2: Subtract 3x from both sides.

3x−20−3x=3x−20−3x

−20=−20

Step 3: Add 20 to both sides.

−20+20=−20+20

0=0

Answer:

All real numbers are solutions.

2x+5−(5x−15)=−3x+20

Answer:

All real numbers are solutions.

Answer:

(Method: rise/run)

1. 1/3

2. 3

3. 1

4. 2

Answer:

(4,11)

Step-by-step explanation:

y=2x+3

y=5x-9

the first equation is equal to the second equation so

2x+3=5x-9

put like terms together

2x-5x= -9-3

-3x= -12

divide both sides by -3

.•.x=4

now, use the value of x to find the value of y like this:

y=2x+3 (x=4)

y=2(4)+3

y=8+3

y=11

therefore, the two lines intersect at the point (4,11)

Answer:

x ≥ 19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

24 + 4x ≥ 100

Step 2: Solve for x

Here we see that any value x greater than or equal to 19 would work as a solution to the inequality.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

2/3x+5=1  Equation

Step 2

2/3x+5=1  Simplify

2/3x=-4

Step 3

2/3x=-4  Simplify

answer

x=-6

Answer:

2772

Step-by-step explanation:

Answer:

Bro yours is correct but its just a little to complicated the answer is d

Step-by-step explanation:

Answer:

so you just put both equations together and do the equation like so hers an example

explanation: (7x-22)-(4x+5)= but if your looking for X

x=9

Answer:

All of them except the squiggly one and the vertical one

Step-by-step explanation:

The rest are functions, two of them are lines, and the curved swoop is a parabola, which is also a function

Function is a set of relation without same or repetitive domain. Because we are checking if the following graphs are function or not. It is easier to do line test.

How to check if the graphs are function.

Overall, the graphs that are not function are the vertical line and the vertical curve graph.

Feel free to ask if you are confused.

Answer:

17/100

Step-by-step explanation:

Answer:

the expression 17% means 17 parts out of 100. Therefore, 17% is equivalent to the common fraction and to the decimal fraction 0.17.

Step-by-step explanation:

Answer:

3(24+56)

Step-by-step explanation:

3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3

3(24+56)

Answer:

3(24 +56)

Step-by-step explanation:

sum of 24 and 56 means addition

3 times the sum means multiplication

the format you'd use in math would be 3(24 +56)

Answer:

2/8

Step-by-step explanation:

Answer:

im gonna tell you its none promise

Answer:

It is 24

Step-by-step explanation:

Use keep change flip, keep the 3 change the division to multiplication, and flip the 1/8 to 8/1 and 3 times 8/1 is 24

Answer:

63

Step-by-step explanation:

A= HxB÷2

7x18÷2=63

The above question is incomplete.

Complete Question

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle KOL?

a) StartFraction 3 pi Over 8 EndFraction radians

b) StartFraction 3 pi Over 4 EndFraction radians

c) StartFraction 7 pi Over 8 EndFraction radians

d) StartFraction 13 pi Over 5 EndFraction radians

Answer:

b) StartFraction 3 pi Over 4 EndFraction radians

Step-by-step explanation:

Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii.

Note that:

π radians = 180°

Therefore,

180° = π radians

135° = x

Cross Multiply

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Therefore, the radian measure of central angle KOL is 3π/4 radians. Option b) is the correct option.

Answer: B

Step-by-step explanation:

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to get the scale factor

we can use the coordinates of the vertices of the small image and the vertices of the large image to get this

We have;

(2,5) going on to give (6,15)

As we can see, the vertices of the small shape are multiplied by 3 to give that of the big shape

So also we can see for the other vertices

This means that the scales factor is 1 to 3

Step-by-step explanation:

35

Answer:

Both are 38°

Step-by-step explanation:

Is in attachment...

Answer:???

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

Answer:

m = -9/4

Step-by-step explanation:

Hope this helps!

Answer:

£10,200

Step-by-step explanation:

Simple interest = principal × rate × time

Principal = £6000

Rate = 7% = 0.07

Time = 10 years

Simple interest = principal × rate × time

= £6000 × 0.07 × 10

= £4,200

Total = simple interest + principal

= £4,200 + £6,000

= £10,200

He would have to pay back a total of £10,200 in 10 years

Answer:

x=12

Step-by-step explanation:

Answer:

24m

Step-by-step explanation:

you can use khan academy to help you out on this kind of stuff

Answer:

x=24

Step-by-step explanation:

You have to isolate the variable so you add 5 to both sides, then add 3 to both sides. Then you have x=24