On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 51 inches and Snowman B was built to a height of 36
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 6 inches per hour and
Snowman B's height decreased by 3 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Determine the number of hours after sunrise both snowman will have equal height and determine how tall each snowman is when they are the same
height.

Answers

Answer 1

Using linear functions, it is found that both snowman's will have the same height of 21 inches after 5 hours.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

The initial height is the intercept.The melting rate, as a negative, is the slope.

Hence the functions are given as follows:

A(t) = 51 - 6t.B(t) = 36 - 3t.

They will have the same height when:

A(t) = B(t)

51 - 6t = 36 - 3t

3t = 15

t = 5.

The height will be of:

B(3) = A(3) = 51 - 6(5) = 21 inches.

Both snowman's will have the same height of 21 inches after 5 hours.

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Related Questions

Help me due in like 15 minutes

Answers

4x-4=-4x+6 hope this helps

Answer:

4x-4=-4x+6

Step-by-step explanation:

given three points that lie on the parabola, find the equation that represents this parabola in standard form (0,6),(2,4),(4,6)

Answers

a=0; b=6; c=8

Equation of parabola: y=6x+8.

What is the parabola?

In mathematics, a parabola is a planar curve that is mirror-symmetrical and generally U-shaped. It matches a variety of seemingly dissimilar mathematical formulations, all of which identify the same curves.

A point and a line are two ways to describe a parabola a plane curve produced by a point moving so that its distance from a fixed point equals its distance from a fixed line:

Apollonius, who discovered numerous features of conic sections, is credited with the name "parabola." It signifies "application," referring to the "application of regions" notion, which, as Apollonius demonstrated, has a connection with this curve.

A banana's curving shape is quite similar to a parabola. As a result, it is one of the best instances of parabolic objects in common use.

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Ezra has two weeks to sell popcorn to earn money for camp. For each unit of popcorn that he sells, Ezra will earn $5. He wants to earn at least $250
. During the first week he earned $105.
How many units of popcorn must Ezra sell in the second week to earn at least $250 in the two weeks combined?

Answers

okay so-
in the first week he sold 21 units of popcorn
he needs to sell 50 units in all
so 50-21= 29
he needs to sell 29 more units of popcorn

The number of units that needs to be sold to earn at least $250 is 20.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The minimum amount that needs to be earned = $250

One unit cost = $5

The amount earned in the first week = $105

Number of units = x

The number of units to sell in the second week.

150 + 5x ≥ 250

5x ≥ 250 -150

5x ≥ 100

x ≥ 20

Thus,

20 units need to be sold to earn at least $250.

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Erin owns 48 movies on DVD. Three eighths of the movies are comedies, 1/3 are dramas, 1/4 are action adventure, and the rest are science fiction. What part of her movie collection is science fiction?

Answers

Science fiction = 1/24

Jenna received a bouquet with 8 roses
and 12 carnations. What was the ratio
of carnations to roses?

Answers

8 roses and 12 carnations =

4 roses and 6 carnations =

2 roses and 3 carnations =

1 rose and 1.5 carnations

the ratio is 1/1.5

1. In the figure shown, HC || GD and m/ABC = 105°.
Which of the following statements is false?
C
R
#
B
H
A m/DEF = 75°
B
ZABH and ZAEG are corresponding angles.
C ZHBF and ZAED are alternate interior angles.
D m/GEF= 75°

Answers

A m:DEF=75 beheysvaahhsd

The solution to the given system of linear equations lies in which quadrant? i ii iii iv

Answers

Answer:

The correct option is 4 it lies on the 4th quadrant

Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2

1

slope intercept form that represents the new line.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y=x-2

We know that Reflecting over the x-axis inverts the sign of the y-coordinate.

Thus, after reflecting over the x-axis, the equation would be:

-y = x - 2

Now, writing the equation in the slope-intercept form

y=mx+b

where

m is the slope and b is the y-intercept

so the equation in the slope-intercept form

-y = x - 2

y = -x + 2

Here,

The slope = m = -1The y-intercept = b = 2

n points are chosen at random on the cicumference of a circle. a convex n-gon (n sided polygon) is drawn by joining these n points. what is the probability that the center of circle lies inside the region of n-gon?

Answers

The probability that the center of the circle lies inside the region of n-gon = 1/2

Let the N point be chosen randomly on the circumference of the circle.

Let's take N as  a1, a2, a3,…….an.

Now we need to find the probability that how many centers lie inside the region of n-gon. As there will be n- sided polygons can be formed inside the circle by joining all the points.

So here are the Possible Outcome is 2. One center may lie outside the polygon and the other which lie inside the center.

But we want one which lies inside the center. So our Favorable Outcome is 1.

So the Probability = Favorable outcome \ possible outcome

                                = 1/2

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what is 30 percent of 210​

Answers

Answer:

63

Step-by-step explanation:

Find the measure of the missing angle

Answers

Answer:

154

Step-by-step explanation:

180-26=154

154 is the answer. hope this helps :)

HELPPP!! What is the slope of a line that is perpendicular to
y = - 3x + 10 ?

Answers

Answer:

the answer is 1/3. hope it help                            

A board 10 feet long is cut into three pieces. one piece is 1 foot longer than the shortest piece and 2 feet shorter than the longest piece. how long is each piece?

Answers

Answer:

3:2:5

Step-by-step explanation:

x+1:x:x+3

x=2

10-4=6/3=2

6th grade math help me pleasee

Answers

--------------------

1. Kris

2. Katie

---------------------

Pls help will give brainliest to who is Wright

Answers

Answer:

24

Step-by-step explanation:

Hope this helps!     :3

plz mark as brainliest!

Answer:

The answer is 24 :)

HELP!!!! WILL MARK BRAINLIEST!!!!!!

Answers

Answer: The answer is 9 because the equations represent the same expression but just in different forms.

Step-by-step explanation:

What is the transformation from ΔA'B'C' to ΔA''B''C'' ?

Answers

1. 90 counterclockwise
2. 180 degrees
3. reflection across y = x

Jai bought 9 chicken wings for $20.70. How much does each wing cost?

Answers

you would take 20.70 divided by 9 which equals $2.30
Answer: $2.30

Step by step: $20.70 divided by the 9 wings

The city of Atlanta is growing at a rate of 2.04% each year. The 2019 population of Atlanta is 486,290 people.

What would be the Each year would it be 1 or 365?

Answers

Answer:

1

Step-by-step explanation:

The "each year" would be represented as a 1. Using the number 365 would represent the days in a year but not the entire year as a whole. For example, if we were to apply the 2.04% population increase to the population of 486,290 then that would give us the new population for the year 2020 which is 1 year more than 2019.

Translate the phrase into an algebraic expression.
3 times b

Answers

Answer:

3b

Step-by-step explanation:

It`s just . . . 3b lol

When numbers and variables multiply, they are put in the form of (integer)(variable). They phrase can only be further simplified if there is a number substitution for b.

Can anyone please help me with this. It’s late and I need help asap :)

Answers

Answer:

I think they're both always but I'm not sure

They’re both always :))

What is one idea that Andre probably understands about rotations?

Answers

Answer:

you need to include the answers from a-d for us to give you a proper answer if not we cant

Step-by-step explanation:

a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?​

Answers

a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?

15−2x=3x what is x solved for

Answers

The answer is 3=x
15-2x=3x
15=5x
3=x

Part A: determined if the triangles are similar?

Part B: complete the similarity statement, if they are not similar, type Not Similar.

Answers

Answer:

please pleasehelp help me me my question

Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. how much would 1 quart of ice cream cost? group of answer choices $4.10 $0.68 $0.78 $3.10

Answers

Cheryl, that paid $37.20 for 12 gallons of ice cream for a school picnic would pay $0.78 for 1 quart of ice cream

To solve this problem, we have to state the equation using the information of the problem

Information about the problem:

Payment= $37.20Amount= 12 gallons1 quart cost=?

Converting the amount unit from gallon to quart, we get:

12 gallons * (4 quart / 1 gallon) = 48 quarts

12 gallons are equivalent to 48 quarts

Calculating how much would cost 1 quart of ice cream:

1 quart cost = payment / amount(quart)

1 quart cost = $37.20 / 48 quarts

1 quart cost = $0.78

What are algebraic operations?

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Pls help I need the answer quick

Answers

answer:
49
..............

Some one help pleaseeeee its very easy

Answers

Answer:

the last one 5/6

Step-by-step explanation:

Answer:

5/6

I hope this helps!

the length of one side of a rectangle is p cm and width is 3(p-2) cm the perimeter is 44 cm find the length and width of rectangle​

Answers

Answer:

Length = 7cm, Width = 15cm

Step-by-step explanation:

Length = p

Width = 3(p-2)

          = 3p-6

Perimeter = length + width + length + width

                = p + 3p-6 + p + 3p-6

                = 8p-12

8p - 12 = 44

Isolate 8p.

8p = 44+12

    = 56

Find p.

p = 56 ÷ 8

p = 7

Length = 7cm

Width = 3(7)-6

          = 21-6

          = 15cm

Is the last option correct?

Answers

Answer:

yes it is

Step-by-step explanation:

yeah , tisicueiwjcjeiwiddj
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