Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Initial = 8[/tex]

[tex]Increment = 3[/tex] (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

[tex]y = Initial\ Figurines + Increment * x[/tex]

This gives:

[tex]y = 8 + 3 * x[/tex]

[tex]y = 8 + 3x[/tex]

Reorder

[tex]y = 3x + 8[/tex]

A linear equation is of the form

[tex]y = mx + b[/tex]

By comparison,

[tex]y = mx + b[/tex] is equivalent to [tex]y = 3x + 8[/tex]

Hence, we can conclude that the situation is linear

Answer 2

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation:


Related Questions

HELPPPPPPP ASAPPPPPPPPPpp 25 POINTS

Answers

Answer:

A, the y intercept is 15

Step-by-step explanation:

This function is in standard form and is the only one where you can simply substitute 0 in for x and find the y- intercept.

Which set of ordered pairs does not represent a function?
O {(5,-2),(-6,-4), (-2,3), (-1,-4)}
O{(-3,4), (-8,0), (3,-8), (-3,-4)}
O {(6,3), (-1,5), (-7,3), (3,0)}
O {(3,9), (2,7), (9,9), (4, -3)}

Answers

Answer:

The second choices is the answer

O{(-3,4), (-8,0), (3,-8), (-3,-4)} as you can see there's a repeating domain or value of x which is the -3

Solve the equation: 7^n=343

Answers

Answer is

7^n = 7^3

N=3

Answer:

n=3

Step-by-step explanation:

7

n

=343

Use the rules of exponents and logarithms to solve the equation.

7

n

=343

Take the logarithm of both sides of the equation.

log(7

n

)=log(343)

The logarithm of a number raised to a power is the power times the logarithm of the number.

nlog(7)=log(343)

Divide both sides by log(7).

n=

log(7)

log(343)

By the change-of-base formula  

log(b)

log(a)

=log

b

(a).

n=log

7

(343)

How many times will you roll a number less than 4 on a number cube if you rolled it 250 times ?
A) 100
B) 90
C) 125
D) 85

Answers

Answer:

C. 125

Step-by-step explanation:

The ratio for one time is 3:6. It is 3:6 because there are 3 numbers less than 4 on a number cube. You can now compare the two ratios.

3:6 = x/250.

This is a ratio, so both numbers would have to be multiplied by the same number. 6 * 41 = 250.

3 * 41 = 123.

(41 was rounded from 41.6666667. This is why it comes out to 123.)

IT c I took the test

Identify the slope and the y-intercept of y= 2x - 5
Slope =
y-intercept =
***Remember, the y-intercept should be written as a point!

Answers

Answer:

slope: 2/1

y intercept: (0,-5)

Step-by-step explanation:

mark me brainliest by going to the bottom of this answer and click the button next to comments

thank you!!

How do I rewrite a mixed fraction as a sum?

Answers

Turn it into a decimal first

Answer:

turn it into a decimal first

Step-by-step explanation:

1. Dennis made a 500 km trip in five hours. For the first two hours, Dennis had an average speed of 150 km/h. For the last two hours, Dennis had an average speed of 100 km/h. Which of the following is true about Dennis' trip? (25 Points) Dennis must have maintained a constant velocity throughout his trip. Dennis must have maintained a constant speed throughout his trip. O Dennis must have stopped for an hour in the middle of this trip Wich statemeent correctly discribes the locaton and Dennis must have driven without stopping during his trip​

Answers

Answer:

The correct option is;

Dennis must have stopped for an hour in the middle of this trip

Step-by-step explanation:

The given parameters are;

The distance Dennis covered in 5 hours = 500 km

Dennis's average speed in the first two hours = 150 km/h

Dennis's average speed in the last two hours = 100 km/h

Therefore;

Dennis traveled 150 km/h × 2 h = 300 km in the first two hours

Dennis traveled 100 km/h × 2 h = 200 km in the last two hours

Which gives, Dennis traveled 300 km + 200 km in  2h + 2h = 4h

Therefore, Dennis traveled 500 km in 4 hours and Dennis must have stopped for an hour in the middle of this trip.

$29,000; 4% decrease

Answers

Answer:

$27,840 is the correct answer

Step-by-step explanation:

hope this helps!

Answer:

after a 4% decrease, you would have $27,260 left

Step-by-step explanation:

Calculate the slope between the points (2,0) and (6, 7)

Answers

Answer:

slope = 1.75

Step-by-step explanation:

slope = Y2-Y1/X2-X1

= 7/4

= 1.75

ANSWER AND ILL GIVE BRAINLIEST 30 PTS

Answers

I think the 3rd one is correct. Hope this helps!

Help will mark as brainless thanks

Answers

Answer:

136000×2000\8×100 do like that the answer is come

PLEASE HELP GUYSS I NEED IT

Answers

Answer:

To solve an area of a rectangle the formula is LxW. Right now we only know the width. Lx2 = 112 So, you would do 112 divided by 2 which equals 56.

LxW = 56x2

which is 112

Step-by-step explanation:

Mary bought a car priced at $23,500. If the value of the car decreases every year by 9%, approximately what will be the value of the car after 10 years?

Answers

Answer:

$4626.548

Step-by-step explanation:

Given that :

Cost of car = $23,500

Value of car decreases by 9% every year

Value of car after 10 years =?

Using the formula :

A = p(1 + r/n)^nt

A = final amount

P = cost of car = principal

r = Depreciation = - 15%

t = number of years

A = 23500(1 + - 0.15/1)^10

A = 23500(0.85)^10

A = $4626.548

If you spend two hours playing sports after school, what percent of your day is devoted to sports? Use 24 hours as the length of a day.
A. about 2%
B. about 8%
C. about 20%
D. about 12%​

Answers

Answer:

The answer is B. about 8%

Step-by-step explanation:

The answer is B. because the actual answer would be 8.3333% but rounded it is about 8%

8.333 so yea it would be b

this is the right picture can you help me

Answers

Answer:

Yeah i am pretty sure you are right

Step-by-step explanation:

Question 14

A company paid $391 for 15 bushes and 8 bonsai trees. They had to purchase 9 more bushes and 5 more bonsai trees for $241. What is the cost of each bush and bonsai tree? Enter your answers in the
boxes below.
Bushes:
Bonsai Tree:

Answers

Answer:

The cost of each bushes is $9.00

The cost of each bonsai trees is $32.00

Step-by-step explanation:

The given parameters are

The amount the company paid for 15 bushes and 8 bonsai trees = $391

The amount for which the company purchased 9 more bushes and 5 more bonsai trees = $241

Let x represent the cost of each bushes and let y represent the cost of each Bonsai Trees, we have;

15 × x + 8 × y = 391...(1)

9 × x + 5 × y = 241...(2)

We make y the subject of both equations to get;

For equation (1), we have;

15·x + 8·y = 391

15·x + 8·y = 391

8·y = 391 - 15·x

y = 391/8 - 15/8·x

For equation (2), we have;

9 × x + 5 × y = 241

5·y = 241 - 9·x

y = 241/5 - 9/5·x

Equating both equations, gives;

391/8 - 15/8·x = 241/5 - 9/5·x

391/8 - 241/5 = 15/8·x - 9/5·x = 0.075·x

0.675 = 0.075·x

x = 0.675/0.075 = 9

x = 9

Therefore, the cost of each bushes = x = $9.00

From, y = 241/5 - 9/5·x, we have;

y = 241/5 - 9/5×9 = 32

y = 32

Therefore, the cost of each bonsai trees = y = $32.00

Which statement is true? Millimeters are larger than centimeters. Millimeters are larger than centimeters. Meters are larger than kilometers. Meters are larger than kilometers. Milliliters are larger than kiloliters. Milliliters are larger than kiloliters. Kilograms are larger than grams.

Answers

Given :

Conditions :

1) Millimetres are larger than centimetres.

2) Meters are larger than kilometres.

3) Millilitres are larger than kilolitres.

4) Kilograms are larger than grams.

To Find :

Which conditions are correct.

Solution :

1) Millimetre is 0.001 m and cm is 0.01 m .

So, option 1 is correct.

2) Kilometer is 1000 m .

So, option 2 is also correct.

3) Millilitres is 0.001 L and kilolitres is 1000 L .

Therefore, this is not correct.

4) Kilogram is 1000 g .

Therefore, this is also correct.

Therefore, option 1 , 2 and 4 are correct.

Hence, this the required solution.

Enter numbers to write 4.23×10^3 in standard notation.

Answers

The answer is 4230. I used mathmay to answer this question if you have anymore question like this I would suggest you go there it is a really good math answering site. Hope this helps!!    

Please help me, What is the slope??

Answers

Answer:

-0.5

Step-by-step explanation:

Plssss help I will give all my points and give brain things pls help

Answers

answer for x: 180 - 104 = 76

answer for y: 180 - 76 = 104

answer for z: 180 - 117 = 63

Can somebody solve this I don’t understand this.

Answers

Answer:

The third one!

Step-by-step explanation: 5 5 5 5 its 5!

What is 3+1?
Can somebody please explain? I've been trying to figure this out for hours and I need to know soon because it's for my homework. I think it might be 7 but I'm not sure.

Answers

4. 3 plus 1 is 4. Imagine that you have 3 cupcakes, but someone comes up and gives you another one.

Will give BRAINLY. Complete the table using the equation y=4×+7​

Answers

Answer: you would just do y= 4x (4•1 would be 4) plus 7. hope this helps!!

Step-by-step explanation:

Answer:

Is your computer cracked anywise

Step-by-step explanation:

Solve for x.
(5x - 24)
(8x + 9)

Answers

Answer:

We get two values x = 24\5

x = -9\8

Step-by-step explanation:

We can also do it by another method.

(5x - 24)

(8x + 9)

Just change the signs of 8x and 9 in minus.

we get

-3x = -33

3x =33

x = 33\3

x = 11

Hope this helps you.

Please Mark as Brainliest.

Sharon drives 1/3 of the total distance to big bend on the first day. On the second day, she travels 1/3 of the total distance in the morning and 1/6 of the total distance in the afternoon. How much of the total distance has sharon driven by the end of the day?

Answers

Answer:

5/6

Step-by-step explanation:

Given that :

Fraction of total distance driven on first day = 1/3

Second day :

Fraction driven in the morning = 1/3

Fraction driven in the afternoon = 1/6

Total distance driven by the end of the day :

1/3 + 1/3 + 1/6

Take the L. C. M

(2 + 2 + 1) / 6

= 5 /6

5/6 of the total distance

Planet Fitness charges a $10 per month plus
a one-time membership fee of $55.
a.) Write a linear equation for the situation
where x is the number of months and y
is the total cost.
b.) How many months have passed if you
paid $107? SHOW ALL WORK.

Answers

a) 10x+55=y

b)5.2 months

A. 10x+55=y

B. 5.2 months or 5 months

3р + 3 = 18 I need the answer now!

Answers

Answer:

3p + 3 = 18

3p = 18 -3

3p = 15

p = 15/3

p= 5

Step-by-step explanation:

P=5

Explanation: Start off by taking away 3 from both sides. After doing this you’ll be left with 3p=15 you want to divide by what’s next to the variable so that would be 3. 3p/3 equals p and 15/3 equals 5 so P=5

A company offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are college graduates who are currently employes; and 5% are college graduates who are unemployeed. Choose a customer at random. If a student is not an undergraduate business student, what is the robability they are an undergraduate student in other feilds of study? Ok

Answers

Answer:

OK aaaaaaaa. What is it

If a student is not an undergraduate business student, what is the probability they are an undergraduate student in other fields of study = 0.08

What is Probability?

It deals with the occurrence of a random event.

Given that a company offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are college graduates who are currently employed; and 5% are college graduates who are unemployed.

P(undergraduate in business) =  0.20

P(undergraduate in other subjects) = 0.15

P(employed graduates) = 0.60

P(unemployed graduates) = 0.05

We know, P(A') = 1 - P(A)

Therefore, P(not undergraduate business) = 1 - P(undergraduate business) = 1 - 0.20 = 0.80

Hence, probability they are an undergraduate student in other fields of study = 0.08

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ2

Kiley is measuring the change in length of a blade of grass each day. Which are the best units for Kiley to report her findings?

Answers

THE BEST UNITS FOR KILEY TO REPORT HER FINDINGS IS CENTIMETRE

Unit conversion is a way of converting some common units into another without changing their real value. The best unit for Kiley to report her findings is cms per day.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Given that Kiley is measuring the change in length of a blade of grass each day. Now, since the length of the blade of grass is too minute, therefore, it can be measured in either cm, mm, or inches.

But, mm is too small for this measurement, while inches are too big to measure the significant change in the length.

Hence, the best unit for Kiley to report her findings is cms per day.

Learn more about Units conversion here:

https://brainly.com/question/4736731

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Greg is making accessories for the soccer team. He uses 813.44 inches of fabric on headbands for 37 players and 4 coaches. He also uses 358.16 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Total number of people including players and coach is, T = 37 + 4 = 41.

Total fabric used for making headbands is, h = 813.44 inches.

So, amount of fabric used for each person is :

[tex]F_h = \dfrac{813.44}{41}\\\\F_h = 19.84\ inches[/tex]

Total fabric used for making wristband is : w = 358.16 inches.

Amount of fabric used for each person is :

[tex]F_w = \dfrac{358.16}{41}\\\\F_w = 8.74 \ inches[/tex]

Hence, this is the required solution.

Answer:

Step-by-step explanation:

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