If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?

please answer in fractions.

Part 1:

What is the rate per hour of the temperature increase?

Part 2:

How much will the temperature increase after 4 hours?

Answers

Answer 1

Answer:

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

Answer 2

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

I know because i am in the future


Related Questions

Dana is trying to determine if an unknown sample is a pure substance or not. The sample has a cloudy white color, and it seems evenly mixed throughout. The sample is a liquid with high viscosity. Dana tried separating the sample with a magnet with no effect. When Dana filtered the sample, larger granules of the sample were left behind in the filter. What evidence allowed Dana to conclude that the sample is NOT a pure substance?

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is D= Dana filtered the sample and larger granules of the sample were left behind

Step-by-step explanation:

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The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 0.25tb=0.25t. What is the constant of proportionality from the time in hours to the inches of candle that has burned away?

Answers

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2

Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?

Number of Games Played
20%
20%
20%
20%
20%


16
18
20
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Answers

Answer:

I think the answer is 20

Answer:

C: 20

Step-by-step explanation:

5.
Find the slope.
7x- y=-4
a) -1/7
b) 1/7
c) -7
I d) 7

Answers

Answer:

D. 7

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

If Chrissy eats 6 cookies so 54 cokies are left. .

Step-by-step explanation:

Can somebody please help?

Answers

Answer:

A. Juan wins the race

B. At about 7 minutes J(t )= A(t)

C. 2 minutes

Step-by-step explanation:

A. Juan wins the race. This is because she covers the distance in a shorter time interval than Antonio

B. At about 7 minutes J(t )= A(t). to get this, just look at the point that the two curves intersect on the graph, and trace it down to the time axis to read off the time.

C. J(t) is greater than A(t) with about 2 minutes. To get this, we just subtract the time Juan arrived at the finish line from the time Antonio arrived, this is = 15 -13 = 2 minutes

What is 320/11 pls help

Answers

Answer:

= 29.09

thats the answer

Which of the following represents the set of possible rational roots for the
polynomial shown below?
x2 + 5x2 – 3x – 20 = 0

Answers

Answer:

6x2−3x−20

Step-by-step explanation:

Let's simplify step-by-step.

x2+5x2−3x−20

=x2+5x2+−3x+−20

Combine Like Terms:

=x2+5x2+−3x+−20

=(x2+5x2)+(−3x)+(−20)

=6x2+−3x+−20

What is true about the relationship between miles and gallons?

Answers

D.,,,,,,,,,,,,,,,,,,,,

Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?



Please help I will mark as brilliant answer.​

Answers

Answer:

Step-by-step explanation:

if he has 500 and wants to have 200 left subtract 500-200=300

then if he spends 24 each week divide 300/24=12.5

the maximum number is 12 because cant have a remainder

at the end of the summer he would have 212 left.. 12x24=288..500-288=212

Answer:

12 weeks .

Step-by-step explanation:

24 x 12 = 288 . 24 x 13 = 312 .

500 - 288 = 212 . 500 - 312 =188 .

its 12 because if you do 13 its to below the price so you'll have some change left .

An airplane cover 94 miles in 1/6 of an hour

Answers

Answer:

14.16

Step-by-step explanation:

Do 1/6 of 94 and you get this answer

An artist wants to make an elliptical sign out of a rectangular piece of wood. The wood piece has a length of 60 inches and a width of 40 inches. The artist wants to make the largest elliptical piece possible from the wood.

Answers

Answer:

Step-by-step explanation:

The question doesn't seem complete, but the question is likely to ask for 2 things: the equation of the ellipse and it's foci. So I'll respond to that. Also, the ellipse will be at the center since the artist wants the largest.

Firstly, the equation of an ellipse at the center is given by:

(x²/a²) + (y²/b²) = 1 where a > b.

Since the artist wants to make the largest ellipse, then the length of the rectangle will be the length of the ellipse, same applies to the width.

Since the length is 60, then a = 60/2 = 30

Since the width is 40, then b = 40/2 = 20

Therefore, the equation of the ellipse is:

(x²/30²) + (y²/20²) = 1

To find the foci we need to know the center and this can be gotten by

c² = a² – b²

c² = 30² – 20² = (30 + 20)(30 – 20) = (50)(10) = 500

c = √(500) = 10√(5).

The foci, since it's at th center would be:

(–10√(5), 0) and (+10√(5), 0)

The largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)

What is the equation of ellipse if its major and minor axis are given?

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]

For this case, as we have rectangular piece of board the maximum ellipse will have it's major axis of length 60 inches, and of minor axis as 40 inches.

Thus, we have:

[tex]a = 60/2 = 30\: \rm inches\\b = 40/2 = 20 \: inches[/tex]

Thus, if the rectangle is placed such that the major axis is on x-axis, and minor axis is on y-axis, then the equation of that ellipse would be:

[tex]\dfrac{x^2}{30^2} + \dfrac{y^2}{20^2} = 1\\\\\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex]

Thus, the largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)

Learn more about ellipse here:
https://brainly.com/question/16868628

1.2(4x – 1) = 8x – 2


2(4x – 1) = –8x – 2

whats the solution :one , infently, or no solutions

Answers

6x

Step-by-step explanation:

1.2(4x-1)=8x-2=6x

In ΔCDE, m ∠ C = ( x − 4 ) ∘ m∠C=(x−4) ∘ , m ∠ D = ( 11 x − 11 ) ∘ m∠D=(11x−11) ∘ , and m ∠ E = ( x + 13 ) ∘ m∠E=(x+13) ∘ . Find m ∠ C . m∠C.

Answers

Answer:

<C =10°

Step-by-step explanation:

The sum of angles in a triangle is 180°. Hence,

<C+<D+<E =180

Given

<C =x-4

<D = 11x-11

<E = x+13

Substitute

x-4+11x-11+x+13 = 180

13x-2 = 180

13x =180+2

13x = 182

x = 182/13

x = 14

Get <C

Since <C = x-4

<C = 14-4

<C =10°

Answer: <C =10°

Step-by-step explanation:

 I think of a number. I take away 14. The result is 13. What number am I thinking of?​

Answers

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Step-by-step explanation:

Answer:

27!

Step-by-step explanation:

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Answers

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81

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

You can think of BF in 3 equal parts. 2 parts belong to BH and 1 part goes to HF

3x = 24

x = 24/3

x = 8

BH is twice as long as FH

BH = 2*8 = 16

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Answers

Answer: 2 to last

Step-by-step explanation:

Write the following ratio using two other notations. 6:7 Use only the numbers above (not any others). Notation one: Notation two: . X
what is the answer?​

Answers

9514 1404 393

Answer:

6/76 to 7   (some authors would write this "6 is to 7")

Step-by-step explanation:

The commonly used symbols for ratios are a colon or a fraction bar. Words can also be used.

  6 : 7 = 6/7 = 6 to 7

__

When the ratio is part of a proportion, then it might be written ...

  6 is to 7

as in ...

  6 : 7 :: 12 : 14 . . . . . . . 6 is to 7 as 12 is to 14

Is this a function or not, if so why? Also, please so ur work!

Answers

It’s function because non of the lines touches twice.

Answer:

Step-by-step explanation:

It's a function because no x value has two y values.

Cameron needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 598 spoons. There are currently 194 spoons. If each set on
sale contains 8 spoons, write and solve an inequality which can be used to determine
x, the number of sets of spoons Cameron could buy for the restaurant to have enough
spoons.

Answers

Answer:

Inequality: 8x+194_>598

Answer:x_>50.2

Step-by-step explanation:

I have delta math! I risked getting the answer wrong for this question lol. But this is correct just!

404 spoons are required for the restaurant for the fill needs.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say the number of sets required = x

Then,

8x will be the total number of spoons.

So,

8x + 194 ≥ 598

8x ≥ 404

x ≥ 50.5

A number of spoon required = 50.5 × 8 = 404 spoons.

Hence "404 spoons are required for the restaurant for the fill needs".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Evaluate the expression shown below and write your answer as a fraction in simplest form.

11/2 + 5/4

Answers

The correct answer for that would be 27/4

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Answer:

hi, hope you are good!, hope you have the greatst holidays ever!

Step-by-step explanation:

Answer:

aww thank you, u are too kind :) I appreciate that u are generous enough to give free points to people, I thank you for your generosity. Happy holidays and stay safe <333

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give me the answer pleaseeeeeeeeeeeeeeerreeeeeeee

Answers

I don’t even know I did that stuff in like elementary school

Multiply the binomials: (3x + 8)(x – 3)

A. 3x2 – 17x – 24
B. 3x2 – x – 24
C. 3x2 – x + 24
D. 3x2 + x + 5

Answers

Answer:

The answer is =3x2−x−24 which is the choices B.

Step-by-step explanation:

(3x + 8)(x – 3)

=3x2−x−24

It is a
Have a good day

5X + 2 = 12 two step eqation can someone help

Answers

The answer for X is X=2

5x+2=12
5x=10
X=2

HELP please, will give brainliest​

Answers

You have the answer selected bro lol.
The diagonal of square is 12√2 cm . So option C is your answer .

As we know that

Diagonal of square = 2 ( side of square )

So , we need to find side of square first

Using area of square = Side²

➩ 144 = S²

➩ S = √144

Side = 12 cm

Now ,

➨ Diagonal = √2 ( 12 )

Diagonal of square = 122

the sum of the first 20 positive odd integers

Answers

Answer:

[tex]400[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\'The\ sum\ of\ n\ no.\ positive\ odd\ integers\ is\ given\ by\ the\ formula:\\S_O=n^2\\Hence,\\Here,\\As\ n=20,\\The\ sum\ of\ the\ first\ 20\ positive\ odd\ integers=20^2=400\\[/tex]

Which statement best represents the equation below 10+(-10) =0

Answers

Answer:

im not sure if this is the answer you wanted hope it helped though

Step-by-step explanation:

Applying the BODMAS rule where B=Brackets ,O=of,D=Division,M=multiplication,

A=Addition,S =subtraction

For any equation in which multiple operation is to be done its depends on the preference of the operation to be performed.

The preference followed is BODMAS

In the above question first multiplication will be performed first and then the addition is performed.

10+10*0+10

10+0+10

Answer is 20

Answer:

D. a car goes 7 feet and then reversed 7 feet.

Step-by-step explanation:

The statement above can be set up in a simple equation.

7 - 7 = 0

This can best represent the equation 10 + (-10) = 0, because they both end up with the same result.

10 + (-10) = 10 - 10 = 0

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Answers

Answer: Add two circles to the left and a square to the right

Step-by-step explanation:

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