Here are three stories:
• A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the
show.
• Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6
ounces left for himself.
• Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and
then paints 27 picture frames.
Here are three equations:
• 3x + 6 = 27
• 6x +3=27
• 27x + 3 = 6
a. Decide which equation represents each story. What does x represent in each equation?
b. Find the solution to each equation. Explain or show your reasoning,
c. What does each solution tell you about its situation?

Answers

Answer 1

Answer:

a) 6x+3 = 27

b) x=4

c) We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

a) 3x + 6 = 27

b) x= 7

c) We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

a) 27x + 3 = 6

b) x= 1/9

c) We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

Step-by-step explanation:

1. A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show.

a) Decide which equation represents each story. What does x represent in each equation?

Let x be price of one ticket.

The equation will be: 6x+3 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

6x+3=27

6x=27-3

6x=24

x=24/6

x=4

So, we get x = 4

c. What does each solution tell you about its situation?

We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

2. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.

a) Decide which equation represents each story. What does x represent in each equation?

Let x be amount of juice poured.

The equation will be: 3x+6 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

3x+6=27

3x=27-6

3x=21

x=21/3

x=7

So, we get x = 7

c. What does each solution tell you about its situation?

We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

3. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.

a) Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.

Let x be time spend on each picture frame.

The equation will be: 27x+3=6

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

27x+3=6

27x=6-3

27x=3

x=3/27

x=1/9

So, we get x = 1/9

c. What does each solution tell you about its situation?

We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Help please due now

Answers

Answer:

The equation is;

y = -2x + 1

the answer belonging in the green question mark is -2

Step-by-step explanation:

We start by getting the slope

The slope can be obtained by selecting any two points and applying the slope formula

let us select the points;

(1,-1) and (3,-5)

the slope formula is;

m = (y2-y1)/(x2-x1)

m = (-5-(-1)/(3-1)

m = (-5+1)/2 = -4/2 = -2

The y intercept is the value of y when x = 0

As it can be seen, y = 1 when x = 0

so the equation of the relation is;

y = -2x + 1

The time (t) required to finish a certain job is inversely
proportional to the number of persons (p) on the job. If 10
persons can finish the job in 6 hours, how long will it take
for 30 persons to finish the job?

Answers

18 hours

Step-by-step explanation:

6/10=0.6 hours (one person takes 0.6 hour)

0.6×30=18 hours

or another way 10 is 1/3 of 30. so

6:1/3=18

what is 0.375 as a fraction

Answers

Answer:

3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8

Maria has a businesses designing t shirts. Her cost for materials, in thousands of dollars

Answers

What is the question?

Jeremy is packaging a stew into to-go containers. There are 5 3/4 cups of stew that need to be put into 5 to-go containers equally. How many cups of stew will be in each container?

Answers

Answer:

1 3/20

Step-by-step explanation:

5 3/4 divided by 5

5 3/4 divided by 5/1

5x4+3=23

23/4 divided by 5/1

Keep Change Flip

23/4 x 1/5

23 x 1=23

4 x 5=20

23/20=1 3/20

Please help me if your good at math I’m really struggling

Select the table representing a linear function. (Graph them if necessary)

Answers

Answer:

Step-by-step explanation:

There are a couple of ways you can go about solving this. The first is plotting all of the points and seeing which one makes a straight line. This is a little bit more time consuming but is great if you blank out and forget how to solve it. The faster way to do it is to see which function is decreasing/increase a constant amount between equal intervals. A increases but by a different amount each time. B decreases by 2 each time. C decreases at different intervals each time. And D does not consistently increase or decrease.

What graph is (-5, 0)?

Answers

5 is your X point and 0 is your Y point. Find positive 5 on the horizontal line. is that what you needed ?

How many ⅔ - cup servings are in ¾ cups of coffee? (Select two answer choices.)

Answers

Answer:

Step-by-step explanation:

im not sure

Need this ASAP!! Would help if you could answer as quick as possible :)

Answers

Answer:

-32p +56

Step-by-step explanation:

distribute the 8 to everything in the parenthesis

8y-2x=-72
Standard to slope intercept form.

Answers

Answer: y = 1/4x - 9

Step-by-step explanation:

8y = 2x - 72 (add 2x to both sides)y = 2/8x - 72/8 (simplify)y = 1/4x - 9

Which model shows 0.32 shaded?
A
B
C
D

Answers

Answer:D

Step-by-step explanation:

Because it has 32 blocks shaded in

Subtact: (7x + 5) - (3x + 2)

Answers

Answer:

4x+3

Step-by-step explanation:

subtract 7-3 =4 then you subtract 5-2=3. put it together 4x+3

Answer:

4x + 3

Step-by-step explanation:

1. Remove parentheses.

7x + 5 - 3x + 2

2.Collect like terms.

(7x - 3x) + (5 - 2)

3. simplify.

4x + 3

Therefor, the answer is, 4x + 3

Please help this is due today and. I need to get it done fast!!!

I will mark Brainliest if there are multiple answers!!!

These shapes (in the photo attached) are similar. Find the value of x.

Please help nobody has been answering!!!

Answers

Answer:

x = 14

Step-by-step explanation:

We can calculate the value of x using similarity ratio

22/4 = x/3 cross multiply expressions

66 = 4x divide both sides by 4

x = 14

GIVING 50 POINTS IF YOU CAN ANSWER THIS PROPERLY - Given the following system of inequalities graph, which of these pairs of linear inequalities is correct?

Answers

Answer: its c

Step-by-step explanation: because when ur graphing the inequality the variable is on the opposite side

Is my answer correct?

Answers

Answer:

Yes, your answer is correct.

select the table that represents a linear function. (graph them if necessary.)

Answers

Answer:

Take the numbers to their prime factorization. Write the final answer in exponential form.

1. 28 2. 36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1. 28 2. 36

Step-by-step explanation:

Are the ratios 5:3 and 6:4 equivalent?
yes
no

Answers

Answer:

nope

Step-by-step explanation:

The given ratios 5:3 and 6:4 are not equivalent.

What are Equivalent ratios?

Equivalent ratios are the ratios that are the same when we compare them. Example 1/2 and 2/4 are equivalent ratios.

Two or more ratios can be compared with each other to check whether they are equivalent or not.

The given two ratios are 5:3 and 6:4

We can write them as 5/3 and 6/4

Let us apply subtraction, if we get 0 then these are equivalent.

6/4-5/3

The LCM of 4 and 3 is 12

=(18-20)/12

The value of 18-20 is -2

=-2/12

We have to divide 2 by 12 we get -1/6.

=-1/6 not equal to 0

The ratios 5:3 and 6:4 are not equivalent.

To learn more on equivalent ratios click:

https://brainly.com/question/13513438

#SPJ2

two brothers, richard and andrew share a sum £30 in the ratio 3:7 how much does each brother get?

Answers

7+3 = 10
30/10 = 3
3(3) = 9
7(3) = 21

richard gets 9
andrew gets 21

Answer:

Richard gets: £9

Andrew gets: £21

Step-by-step explanation:

To get the value of 1 part we have to add the total number of parts (3+7) and then divide them by the sum (30) 30/10 = 3 so we know 1 part is £3

Thus Richard gets: £3*3 = £9

And Andrew gets: £3*7 = £21

Instructions
Solve each problem by finding the area,
A new arrow needs to be painted on the road to direct traffic.
What shapes can the figure be broken into?
What is the area of the arrow?
I
7 ft
1 ft
2 ft
11 ft

Answers

Answer:

The arrow can be broken into a rectangle and a triangle.

And the area of the arrow is 22 ft^2

Step-by-step explanation:

Area of the rectangle:

length • width = 7 • 2 = 14 ft^2

Area of the triangle:

(base • height) / 2

You must add 1 + 2 + 1 in order to get the base which is 4

And to get the height, you must do 11 - 7 = 4 (height)

(4 • 4) / 2 = 8 ft^2

Add both areas together to get the area of the arrow:

14 ft^2 + 8 ft^2 = 22 ft^2

Hope this helps!

find the equation in slope-intercept form of the line that passes through the points (-3,4)&(2,-1)

Answers

Answer:

The slope: -1

The y intercept form: (0,1)

If you want it in equation form: y=-x+1

How it looks when Graph-ed:

Please help me with my homework please

Answers

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Remember: Speed=Distance/Time

Emmet rolls a number cube. In 5 out of 24 trials, he rolls a six. What is the
difference between Emmet's experimental probability of rolling a six, and
the theoretical probability of rolling a six?
A
1
24
B)
1
12

Answers

Answer:

Step-by-step explanation:

First correct answer gets brainliest! 25 points! Please HELP! I will rlly appreciate it! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In four years, Ben's age will be 3/5 of Amy's age at that time. How many years old is Chris now?

Answers

Answer:

I think it is 10

Step-by-step explanation:

hope this helps

what is the domain and range , and is it a function ?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

do these and ill love you forever, ill give you brainliest too plzz

Answers

Answer:

7:01

12:12

4:29

1:11

3:46

6:33

10:15

5:59

2:22

Step-by-step explanation:

set up the equation

Answers

45° is the correct answer

I NEED HELP
"The Number 9 is "
A.Prime
B.Composite

Answers

The number 9 is composite because it is a product of 3^2 or 3x3.

Suppose we have a group of 4 girls and 3 boys and we wish to seat them in a row of 7 chairs. In how many ways can the students be seated

Answers

Answer:

5,040 ways

Step-by-step explanation:

Here, we want to find the number of ways they can sit

The total

number here is 3 + 4 = 7

The first person has 7 choices, next has 6 choices and so on

So the total

number of ways will

be :

7! = 5,040 ways

An art school began ten straight years of material fee increases by raising its material fee from $200 to $287. Find the percent increase

Answers

Answer:

143.5%of200=287

Step-by-step explanation:

help please and thank you

Answers

All you need to do is that Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

21x+7=133

subtract 7 from both sides:

21x=126

divide 21 by both sides:

x=6

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