Sam walked to a nearby shop to purchase a gallon of ice cream. The shop is 400 meters from his house, and it took him 4 minutes to get there. At the shop, it took 2 minutes to choose a flavor and purchase the ice cream. He walked home in 3 minutes, at a faster pace than before so the ice cream wouldn’t melt. Draw a graph that models Sam’s distance from home (in meters) in terms of time (in minutes). Label the graph with appropriate intervals and units.

Answers

Answer 1

Answer:

Answer:

see the attached graph

Step-by-step explanation:

The axes and units for the graph are given in the problem statement. The range of the graph is also given, but figuring the domain requires a little arithmetic. We assume the walking pace is constant, so the graph will be piecewise linear.

Axes

The vertical (y) axis is labeled with what the graph is modeling, "distance from home (in meters)." The horizontal (x) axis is labeled with what the model is in terms of "time (in minutes)."

The range of the graph is 0 to 400 meters, the range of distances Sam may be from home.

The domain of the graph is 0 to 9 minutes. The time it takes to complete the trip is 4 minutes to the shop, 2 minutes at the shop, and 3 minutes coming home, for a total of 4+2+3 = 9 minutes.

Graph

We are given that points on the graph will be (0, 0), (4, 400), (6, 400), and (9, 0). That is Sam is ...

at home at 0 minutes
400 meters from home (at the shop) after 4 minutes
remaining 400 meters from home for 2 more minutes (until 6 minutes)
at home after 3 more minutes (at 9 minutes).

Since we assume walking is at a steady pace, we connect these dots with straight lines. The resulting graph is attached.

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Kylee bought a pack of 12 cookies one-third of the cookies are peanut butter how many of the cookies in the pack are peanut butter

Answers

One way to find the answer to this question would be to use a bar model.
Draw a long rectangle and label it, "12".
Then, cut the bar into 3 pieces.
Color in one of the boxes.
This represents the one-third of peanut butter cookies.
Since you split 12 into 3 pieces, divide 12 by 3.
You'll get the answer 4.
That means out of the 12 pack of cookies, 4 of them are peanut butter.
Hope I helped you. :)

12 cookies...
.
So one third.
.
Strike a match in your mind?
.
Yep, multiply 1/3 by 12.
.
So, 4 cookies are peanut butter.

What is 6y - 12 = -3x in standard form?

Answers

To get it into standard you need to simplify
6y - 12 = -3x add 12 to both sides
6y = -3x + 12 add 3x to both sides
3x + 6y = 12
And that is in standard which is A + B = C

Find the original price. Discount: 20% Sale price: $75

Answers

The original price of the item is given by the equation A = $ 93.75

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original price of the item be represented as A

Now , the equation will be

The discount percentage of the item = 20 %

The discounted sale price of the item = $ 75

So , original price - ( 20/100 ) original price = discounted price

Substituting the values in the equation , we get

A - ( 20/100 )A = 75

( 80/100 )A = 75

Multiply by 100 on both sides of the equation , we get

80A = 7500

Divide by 80 on both sides of the equation , we get

A = $ 93.75

Hence , the original price is $ 93.75

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How I solve these is to divide the sale price by the current percentage of the price. Since is is only 80% of the original price, I would divide $75 by 80, which will give you the amount that is equal to 1%. then multiply that number by 100 and it will give you the full cost of the item.

$75 / 80% = 0.9375
0.9375 x 100 = $90.75

7 is added to one-sixth of g

Answers

Answer:

g+1/6=7

Step-by-step explanation:

How many sides does a pentagon have?

Answers

a pentagon has 5 sides

a pentagon has five sides

A student skipped a step when she tried to convert 15 hours to seconds,and she got the following incorrect result ?15 hours(60 seconds),/1 minute=900seconds

Answers

Answer:

60mins/1 hour

Step-by-step explanation:

Final answer:

The student made an error by skipping the necessary step of converting hours to minutes before converting to minutes to seconds. The correct conversion is: 15 hours is equal to 54000 seconds.

Explanation:

In mathematics, specifically in units conversion, the correct step to convert hours to seconds would be to first convert the hours to minutes, and then convert minutes to seconds. The mistake the student made was skipping the step of converting hours to minutes before converting to seconds. Let's correct the calculation:

First, convert hours to minutes: 15 hours * 60 minutes = 900 minutes.
Next, convert minutes to seconds: 900 minutes * 60 seconds = 54000 seconds.

So, 15 hours is equal to 54000 seconds, not 900 seconds.

Learn more about Converting Hours to Seconds here:

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DIRECTIONS: Draw a picture to represent each problem. Then, usethe Pythagorean Theorem to answer the question. Answer eachquestion in a complete sentence.1. Your family wants to purchase a new laptop with a 17” widescreen. Since the 17inches represents the diagonal measurement of the screen (upper corner to lowercorner), you want to find out the actual dimensions of the laptop. When youmeasured the laptop at the store, the height was 10 inches, but you don’tremember the width. Calculate and describe how you could figure out the width ofthe laptop to the nearest tenth inch. 2. The bottom of a 13-foot straight ladder is set into the ground 5 feet away from awall. When the top of the ladder is leaned against the wall, what is the distanceabove the ground it will reach?