On a snow day, Claire created two snowmen in her backyard. Snowman A was built to a height of 29 inches and Snowman B was built to a height of 54 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 3 inches per hour and Snowman B's height decreased by 8 inches per hour. Let
A
A represent the height of Snowman A
t
t hours after sunrise and let
B
B represent the height of Snowman B
t
t hours after sunrise. Write an equation for each situation, in terms of
t
,
t, and determine the number of hours after sunrise when both snowmen have an equal height.

Answers

Answer 1

Answer:

29 - 3t = 54 - 8t

-29 -29

-3t = 25 - 8t

+8t +8t

5t = 25

/5 /5

t = 5

The snowmen will have an equal height after 5 hours.


Related Questions

Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?

Answers

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday.

Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike.

Is Andy correct?

Answers

Mike read 5/6 altogether, 2/4+1/3=5/6. Andy read 7/10 altogether, 1/2+1/5=7/10.
Andy is not correct, 5/6 is greater than 7/10.

make x the subject of the following formula:
ax - ay = cx + by

please help​

Answers

x = by + ay / a - c

Step-by-step explanation:

Given that

ax - ay = cx + by

Collect like terms

ax - cx = by + ay

Factorize both sides

ax - cx = by + ay

x(a - c) = by + ay

Divide both sides by (a - c)

x(a - c) = by + ay

x = by + ay / a - c

Making x the subject of the formula would be

x = by + ay / a - c

Learn more about subject of formula here : https://brainly.com/question/859711

Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?

Answers

Answer:

10

Step-by-step explanation:

This is because 10×4=40

10+5=15

40+5=45

45/15=3

Answer:

Step-by-step explanation:

Let E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F.  ["Eli is now one quarter of his father’s age"]

But in 5 years, that will be:

(E+5) = (1/3)(F+5)       ["In 5 years’ time his age will be one third of

his father’s age"]

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

We have two equations and two unknowns.  Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years  (based on E = (1/4)F)

====

In five years:  F is 45 and E is 15, which would make Eli  1/3 of his father's age in 5 years.

Solve for x in the hanger below

Answers

Answer:

x=3

Step-by-step explanation:

When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?

Original Equation
3x - 1 = 3

First Step 3x = 4​

Answers

Answer:

no property

Step-by-step explanation:

Name the property used: no property

Find a counterexample to the statement below

“All prime numbers are odd”

Answers

Answer:

The number 2

Step-by-step explanation:

Answer:

"2 is prime and it is even"

Step-by-step explanation:

1. (2x^3)^4

2. 18 x^0

3. 7p ^-4

Answers

Step-by-step explanation:

1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)

2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)

3. 7/p^4

What is differentiation ?

Answers

Answer:

differentiate

for example what is difference between this and that

[tex]Differentiation \: is \:  a \\ method \: of \: finding \: the \\ derivative \: of \: a \: function. \\ Differentiation \: is \: a \\ process, \: in \: Maths, \: where \\ we \: find \: the \: instantaneous \\ rate \: of \: change \: in \: function \\ based \: on \: one \: of \: its \: variables. \\ The \: most \: common \: example \\ is \: the \: rate \: change \: of \\ displacement \: with \: respect \: to \\ time, \: called \: velocity.[/tex]

your friend has owned a dog for 9 year this is one year less than as

Answers

you just answered your own question

Please, Help with this MATH question.

Answers

y in the second equation
The x at the second one. I hope you are help

What is 48.5% of 300?

Answers

278 cause when you carry the three to the 48.5 you have a remainder equal to the composite of both

De los tres cuartos de los asientos que hay en un camión, quitamos la tercera parte y aun quedan 20. ¿Cuántos asientos tiene el camión?AYUDAA

Answers

Creo que habría 80 asientos.

I need help. Whats the answer?

Answers

By the pythagorean theorem a^2 + b^2 = c^2 so if we do 8^2 + 6^2 it is 100

Can someone help me with this please

Answers

Answer:

r = 59

Step-by-step explanation:

59 + r = 118

59 + r - 59 = 118 - 59

r = 59

Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.

A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.

Answers

Let a and b = the numbers we must find.

a + 2b = 5.....Equation A

2a + b = 13.......Equation B

We have a system of equations in two variables.

I will solve A for little a.

a + 2b = 5

a = 5 - 2b

Now I will plug 5 - 2b for a in B.

2(5 - 2b) + b = 13

10 - 4b + b = 13

-3b = 3

b = -1

To find a, replace b with -1 in EITHER A or B.

I will use Equation A.

a + 2b = 5

a + 2(-1) = 5

a - 2 = 5

a = 7

The two numbers are -1 and 7.

Understand?

Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?

Answers

Answer:

$1.90

10xx+25yy cents

Step-by-step explanation:

9 dimes (10 cents each) = 90 cents = 0.9 dollars

4 quarters (25 cents each) = 100 cents = 1 dollar

Making $1.90

xx dimes (10 cents each) = 10xx cents

yy quarters (25 cents each) = 25yy cents

Making 10xx+25yy cents in total I believe..

Hope this helps :)

Can u help me please

Answers

Answer:

.50x4+15=x

Step-by-step explanation:

X=17

The number of ounces in an unknown number of pounds. Let z= the variable.

Answers

Answer:

16z

Step-by-step explanation:

z = the unknown number of pounds

16 ounces in 1 pound.

So  z pounds =  16z    

or   it can be given as a proportion;

[tex]\frac{16 ounces}{1 pound} (z)[/tex]

Need NOW PLEASE.....

Answers

Answer:

8-(-8) = 8+8

8-8 = 8+(-8)

-8-(-8) = -8+8

-8-8 = -8+(-8)

10-9 = 10+(-9)

10-(-9) = 10+9

Step-by-step explanation:

Remember that if the signs are equal +,+ or -,- , they are positive (+)

if the signs are different like +,- or -,+ then they are negative (-)

Find the circumference of a circle with a radius of 2.4 m

Answers

Answer:

here,

circumference of circle (c)=2πr

=2×22÷7×2.4

15.0857143.

Look at the equation 14n=98 work out the value of 14(n+1)

Answers

Answer:

The value of 14(n+1) is 112.

Step-by-step explanation:

14n=98

n=98/14

n=7

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

14(n+1)=14(7+1)=14(8)=112

Which is an example of nonverbal communication?

O A. Test questions

O B. An outline

O C. Words like please

O D. Body posture

Answers

Body posture, because when you are slouching while listening to someone it is likely that you are uninterested or bored as an example.
Hope this helps. Pls give me the brainliest if it does.

You are buying candles for an outdoor event. The candles you want come in boxes of 10, and you have enough money to purchase 20 boxes. How many candles can you buy?

Answers

Answer:

200 candles

Step-by-step explanation:

20*10 = 200

Can you please help me?!

Answers

Answer:

a. (2,1)

b. (0,2)

c. (4,0)

Step-by-step explanation:

2x+ 4y = 8 /2

x + 2y = 4

x = 4 - 2y and y = (4 - x)/2

a. x = 2 => y = 1

b. x = 0 => y = 2

c. y = 0 => x = 4

What is the perimeter and area of this shape

Would help if you explained why

Will give brainliest

Answers

Answer:

area: 133.5 m²perimeter: 52.02 m

Step-by-step explanation:

Area

The area of each trapezoid can be found using the relevant formula:

  A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height

For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...

  A = 1/2(8 m +5 m)(6 m) = 39 m²

The area of the bottom trapezoid is ...

  A = 1/2(10 m +17 m)(7 m) = 94.5 m²

The area of the shape is the sum of the areas of the two trapezoids.

  area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure

__

Perimeter

The horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...

  s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters

Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...

  s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters

__

The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...

  10 m +(17 -8 m) +5 m = 24 m

The sum of the lengths of the slant edges is ...

  2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters

The perimeter of the figure is the sum of horizontal lengths and slant lengths:

  24 m + 28.02 m = 52.02 m . . . . perimeter of the figure


You have an object with a mass of 5 kg. If it has a velocity of 4.7 m/s, what distance will the object travel if 98 newtons are applied to stop it?

Answers

69,420 ------------------------------------------------------------------------

Find the equation of the line with slope of 2 passing through (3,1)

pplleeaassee

Answers

The equation of the line is y-2x+5=0 I believe. Good luck :)

You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.

A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.
CLEAR CHECK

95 square meters


190 square meters


47.25 square meters


57.25 square meters

Answers

Answer:

95 square meters

Step-by-step explanation:

I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)

The formula for area of triangle is base * height * 1/2

So 19 * 10 *1/2 is 95.

Mario Andretti drives his race car 500 miles in 2.5 hours. What is his speed?

Answers

Answer:

His speed was 200.

Step-by-step explanation:

500/2.5 is 200.

Answer:

The speed of Mario Andretti's race car is 200 m/h.

Step-by-step explanation:

Speed = Distance/Time=> Speed = 500 miles/2.5 hours=> Speed = 200 miles/1 hour

Conclusion:

Therefore, the speed of Mario Andretti's race car is 200 m/h.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

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