On a snow day, Samantha created two snowmen in her backyard. Snowman A was
built to a height of 43 inches and Snowman B was built to a height of 33 inches. The
next day, the temperature increased and both snowmen began to melt. At sunrise,
Snowman A's height decrease by 4 inches per hour and Snowman B's height
decreased by 2 inches per hour. Let A represent the height of Snowman At hours
after sunrise and let B represent the height of Snowman Bt hours after sunrise,
Write an equation for each situation, in terms of t, and determine the interval of
time, t, when Snowman A is taller than Snowman B.

Answers

Answer 1

Answer: A= -4t+43

B=-2t+33

Snowman A is taller than snowman B when t < 5 hours

Step-by-step explanation:

Answer 2

A will be taller than B when t < 5.

Given, snowman A was built to a height of 43 inches and snowman B was built to a height of 33 inches.

We need to write an equation for each situation, in terms of t and determine the interval of time, t when Snowman A is taller than Snowman B.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, as the temperature increases snowman A's height decreases by 4 inches per hour.

The equation that represents this situation is A=43-4t.

As the temperature increases snowman B's height decreases by 2 inches per hour.

The equation that represents this situation is B=33-2t.

We know that A is taller than B.

That is, A>B

⇒43-4t>33-2t

⇒43-33>-2t+4t

⇒10>2t

⇒5>t or t<5

Therefore, A will be taller than B when t < 5.

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Related Questions

Please help
Show workings

Answers

Answer:

this ange is congruent to the one above so you would just subtract 180 from 116

180-116

= 64

Jerritt had 15 beef sticks. Leonard gave him some more. Than Jerritt
had 42 beef sticks. How many beef sticks did Leonard give to Jerritt?

Answers

Answer:

27

Step-by-step explanation:

Let x represent the number of beef sticks given to Jerrit by Leonard.

Let's calculate!

42 = 15 + x

42 - 15 = x

27 = x

x = 27

Hope that helped :)

Bryan spends 4.30 at the store. Kelvin spends 3 times as much as bryan. Terrel spends 2.45 more than kelvin.

Answers

what are you looking for then?

What is this question? I REALLY NEED HELP!!!

Answers

Answer:

i think it would be B

Step-by-step explanation:

35/5=7

100/15=6.667

Answer:

The answer is B. They are not chocolatey enough

Step-by-step explanation:

35 / 5  = 7 / 1

100 / 15 = 20 / 3

You can see that the Cookie Club has fewer chocolate chips.

I hope this helps u! :D

answer these trigonometry questions please I really don't understand it and I need help with work please and thank you ​

Answers

Answer:

5. 28.39

6. 58.18

Step-by-step explanation:

5. To find x, use tangent since you know the opposite and adjacent legs

tangent is opposite/adjacent

tan(x)=20/37

x=tan-1(20/37)

x=28.39

6. you want to find the hypotonuse of XYZ to use tangent to find angle W

Sin(25)=15/x

0.423=15/x

0.423x=15

x=35.46

this is the hypotonuse

now use tangent to find W

tan(x)= 35.46/22

x=tan-1(35.46/22)

x=58.18

Find the coordinates for points are that proves figure trap is an isosceles trapezoid?

Answers

Answer:

Coordinates of point R → (c - a, b)

Step-by-step explanation:

From the picture attached,

By the property of an isosceles trapezoid,

PX = AY = a

Therefore, horizontal distance of Y from the origin PY = AP - AY

PY = c - a

Vertical distance of point R from x-axis (RY) = b

Therefore, coordinates of point R will be (c - a, b).

3x+y-4=1 Solve For Y

Answers

Answer:

y=-3x+5

Step-by-step explanation:

Kris is setting up tables for an awards banquet. Each table seats 16 people. What is the fewest number of tables
Kris needs to set up for 132 people?
A. 6 tables
B. 7 tables
C. 8 tables
D. 9 tables

Answers

Answer:

D=9 Tables

Step-by-step explanation:

132÷16=8.25

How do I know which triangles are similar to ABC?​

Answers

Answer:

I'm not sure if my answer is correct but anyways.

Step-by-step explanation:

If you drew a triangle and labeled it, that would be easier to determine your answer. So, 145-10=135 and then i guess 145-135=10???

6. A shipping box is shown below. How many
cubic feet will the shipping box hold?
3.5 ft
4 ft
4 ft
6 ft
4 ft

Answers

Answer:

can't understand your question

Tori is making 3 cups of snack mix. so far, she has put 1/4 cup of pretzels and 1 1/8 cups of chips into a bag. If cheese crackers are the last ingredient, which amount of cheese crackers should she add to the bag?

Answers

Answer:

1 5/8

Step-by-step explanation:

have a nice day

This is long division can you help me do it plz!

Answers

Answer:

175262

Step-by-step explanation:

The answer is 175,262

Miguel needs to drive a total of 16 miles. So far, he has driven 8.9 miles. How many more miles must Miguel drive?

Answers

Answer:

................

Step-by-step explanation:

Answer:

7.1 miles till Miguel gets to the destination

Step-by-step explanation:

16 miles - 8.9 miles = 7.1 miles

Natalie and her friends eat at a restaurant. The bill is $78.96. Natalie leaves a
gratuity and spends $93.18. What percent of the total was the tip?

Answers

Answer:

0.1422 %

Step-by-step explanation:

$93.18 - $78.96 = $14.22

Move the decimal in 14.22 two spaces to the right and put a zero after the decimal point.

0.1422 %

I hope this helps u! :D

Really urgent!!!!

Bus X, Bus Y and Bus Z leave the bus terminal every 35 minutes, 40 minutes and 42 minutes respectively. Given that the 3 buses leave the interchange together at 0620, what would be the next time the three buses leave together? ​

Answers

Answer:

Step-by-step explanation:

Find the lowest common multiple between the numbers

35 = 5×7

40 = 2³×5

42 = 2×3×7

So the lowest common multiple is:

2³×3×5×7 =840 minutes

840 minutes is 14 hours so the next time they are all at the interchange is 2020 hours.

Does anyone know this:)

Answers

Answer:

18

Step-by-step explanation:

1/2 of base times height is AREA OF A TRIANGLE

1/2(6*30)=18

HELP!! PLEASE! ASAP!!

Please help me with this problem.

Answers

Answer:

your questions is not looking clear sorry bro am so sorry

7 Which of following equations represents the
relationship shown in the graph below?
a. y = .2x
b. y = x + 12
50
45
40
35
30
25
20
15
10
5
c. y = 3x
d. y = 5x
1 2 3 4 5 6 7 8 9 10

Answers

Answer:

y=5x

Step-by-step explanation:

slope =5

y intercept= 0

can some one please help me with this?

Answers

74 I pull out of door display

Answer:

[tex]\frac{12}{z}[/tex]

Step-by-step explanation:

The quotient of 12 and z:

The key word in this expression is quotient. This signifies that you are dividing.

Your equation is [tex]\frac{12}{z}[/tex]

If a train travels 500 miles in 4 hours, what is the speed

Answers

Answer:125

Step-by-step explanation:

Answer:

125 mph

Step-by-step explanation:

500 divided by 4 = 125 therefore its 125 miles per hour

In an inverse variation, X = -8 when
y= - 1/4. What is the value of y when x = 4?

Answers

Step-by-step explanation:

xy = k, where k is a real constant.

When y = -1/4, x = -8.

=> k = (-8)(-1/4) = 2.

Therefore when x = 4,

y = k/x = (2)/(4) = 0.5.

In an inverse variation the value of y is 0.5

What is the value of y ?

In an inverse variation, X = -8 wheny= - 1/4.

y= - 1/4.

the value of y when x = 4

In the equation xy = k, k is a real constant.

X equals -8 at y = 1/4.

=> k = (-8)(-1/4) = 2.

Consequently, if x = 4,

y = k/x = (2)/(4) = 0.5.

In an inverse variation the value of y is 0.5.

Solving an Inverse Variation Problem:

The variation formula is either y = k/x or k = xy.Replace with the supplied values to determine the value of k.With the known value for k, rewrite the variation equation as y = k/x.Find the unidentified by substituting the remaining values.

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• Which operations are used in the expression 2x – 4? Choose ALL that apply.
division
multiplication
addition
subtraction

Answers

Answer:

The expression uses multiplication and subtraction.

Multiplication and subtraction used in the expression 2x – 4

What is Expression?

An expression is combination of variables, numbers and operators.

We need to find which operations are used in expression

2x-4

An operation is a mathematical action. Addition, subtraction, multiplication, division, and calculating the root are all examples of a mathematical operation.

Two times of x minus four.

Two times of x means we are taking product of 2 and x. Multiplication is used

2x-4 means we are subtracting four from 2x. Subtraction is used in the expression.

Hence Multiplication and subtraction used in the expression 2x – 4

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Pls help me with this math.


1)The sum of a number and 16 is equal to 45?

Answers

Answer:

It would be 29!

Step-by-step explanation:

29+16=45

Answer:

the answer is 29

Step-by-step explanation:

u can know it by just subtracting 45 by 16

bill is in a class of 50 students. 40% of the students in the class does not take the bus to school. how many students do not take the bus to school?

Answers

Answer:

20 students

Step-by-step explanation:

We must find 40% of 50. To do so, calculate 50 * .4 or 50 * 1/4.

Can some help ...:.....0

Answers

Answer:

-4

Step-by-step explanation:

Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.

So to solve for x, set 28 and 10x+68 equal to each other.

28=10x+68

First, subtract 68 from both sides

-40=10x

Then, divide both sides by 10

-4=x

If you want to check your answer plug -4 back into the original equation.

28=10(-4)+68

28=-40+68

28=28, which is true, therefore -4 is correct.

Please help me with my homework!!!

Answers

Answer:

C

Step-by-step explanation:

Plug the values into the function

Which expression is equivalent to (x^4/3 x^2/3)^1/3
O x^2/3
O x^2/9
O
x^8/27
O x^7/3

Answers

Answer:

We conclude that:

[tex]\left(\:\:\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}\:=\:x^{\frac{2}{3}}[/tex]        

Hence, option A i.e. [tex]x^{\frac{2}{3}}[/tex]  is true.    

Step-by-step explanation:

Given the expression

[tex]\left(\:\:\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}[/tex]

Apply exponent rule:   [tex]\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]\left(\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}=\frac{\left(x^4\right)^{\frac{1}{3}}}{\left(\frac{3x^2}{3}\right)^{\frac{1}{3}}}[/tex]

             [tex]=\frac{x^{\frac{4}{3}}}{\left(\frac{3x^2}{3}\right)^{\frac{1}{3}}}[/tex]        ∵ [tex]\:\:\:\left(x^4\right)^{\frac{1}{3}}=x^{\frac{4}{3}}[/tex]

             [tex]=\frac{x^{\frac{4}{3}}}{\frac{\left(3x^2\right)^{\frac{1}{3}}}{3^{\frac{1}{3}}}}[/tex]

             [tex]=\frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}}[/tex]

Apply exponent rule:    [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

             [tex]=x^{\frac{4}{3}-\frac{2}{3}}[/tex]          

             [tex]=x^{\frac{2}{3}}\\[/tex]

Therefore, we conclude that:

[tex]\left(\:\:\frac{x^4}{\frac{3x^2}{3}}\right)^{\frac{1}{3}}\:=\:x^{\frac{2}{3}}[/tex]        

Hence, option A i.e. [tex]x^{\frac{2}{3}}[/tex]  is true.                                        

Is t = 4 a solution to the inequality below?
t 23
yes
no



PLS HELP!!!

Answers

Answer:

False, I think

Step-by-step explanation:

I’m not getting the full question but 4 cannot equal 23 so I would say false

Helppppppop me I’m need help on this nowwwwee difnoxdnslsbsk

Answers

Answer:

a=3, b=3, c=5

Step-by-step explanation:

4[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=a[tex]\frac{b}{c}[/tex]

=[tex]\frac{9}{2}[/tex]÷[tex]\frac{5}{4}[/tex]

=[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{5}[/tex]

=[tex]\frac{36}{10}[/tex]

=3[tex]\frac{6}{10}[/tex]

=3[tex]\frac{3}{5}[/tex]

There are two mystery numbers. The sum of 2 times the first number and 3 times the second number is -18. The sum of 3 times the first number and 2 times the second number is -17. What are the two numbers?

Answers

Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

set up system of equations:

2x + 3y = -18

3x + 2y = -17

elimination method:  multiply 1st equation by -2 and second by 3

 -4x - 6y = 36

+

 9x + 6y = -51

  5x = -15

   x = -3

find y:  2(-3) + 3y = -18

           -6 + 3y = -18

            3y = -12

             y = -4

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