Caroline and Chase are working on math homework. They decide to race to see who can finish first. Caroline is on number 12 and can solve 1 math problem in 1.5 minutes. Chase is on number 16 and can solve 1 math problem in 2 minutes. How many minutes will it take before they are on the same problem?​

Answers

Answer 1

Answer:

It will take 24 minutes before they are on the same problem.

Step-by-step explanation:

Caroline is on number 12 and can solve 1 math problem in 1.5 minutes.

Per minute, she solved [tex]\frac{1}{1.5} = \frac{2}{3}[/tex] of a problem. So, after t minutes, she will be on the problem:

[tex]Ca(t) = 12 + \frac{2t}{3}[/tex]

Chase is on number 16 and can solve 1 math problem in 2 minutes.

Per minute, he solved [tex]\frac{1}{2}[/tex] of a problem. So, after t minutes, he will be on the problem:

[tex]Ch(t) = 16 + \frac{t}{2}[/tex]

How many minutes will it take before they are on the same problem?​

This is t for which:

[tex]Ca(t) = Ch(t)[/tex]

So

[tex]12 + \frac{2t}{3} = 16 + \frac{t}{2}[/tex]

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

[tex]\frac{4t-3t}{6} = 4[/tex]

[tex]\frac{t}{6} = 4[/tex]

[tex]t = 24[/tex]

It will take 24 minutes before they are on the same problem.


Related Questions

A model rocket consists of a cone on top of a cylinder.
• The cone has a volume of 72 cm3.
• The cylinder has a diameter of 6 cm and a height of 25 cm.
What is the approximate volume of the entire model rocket?

Answers

Answer:

779

Step-by-step explanation:

6/2=3 3•3•25•pi

Volume of a cylinder v=pi•r2•h

8(4x - 1) - 12x = 11(2x-6)​

Answers

8(4x - 1) - 12x = 11(2x-6)
Distribute
8(4x-1) -12x=11(2x-6)
32x-8- 12x =11 (2x-6)
Combine like terms
32x-8-12x=11(2x-6)
20x-8 =11 (2x-6)
Distribute
20x -8 =22x-66
Add 8 to both sides of the equation
20x-8+8=22x-66 + 8
Simplify
20x =22x -58

Subtract 22x from both sides of the equation
20x -22x =22x-58 -22x
Simplify
-2x=-58

Divide both sides of the equation by the same term
-2x/-2=-58/-2
Simplify
X=29
Solution
X=29

9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the

pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how

far is the whale from his eyes?

Answers

Answer:

90.67feet

Step-by-step explanation:

Given that α = 20°

Tan α = opp/adj......... 1

Opp = 33feet

Adj = x

Substitute the values into equation 1

Tan 20° = 33feet/adj

0.36397 = 33/adj

0.36397×adj = 33

Adj = 33/0.36397

Adj = 90.666

Recall, adj = x = 90.666feet

x = 90.67feet

Hence, the whale is 90.67feet far from the eyes

Which of the following best describes x in the equation y=5x+3?​

Answers

If I’m not mistaken this is slope formula? So y=mx+b the x in this equation would be the unknown number that needs to be solved for the slope which is 5

please help meeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

C and G

Step-by-step explanation:

not completely sure if this is correct but i think so lol

so 10% of 200 is 20 because 200*.10=20 , so your first payment would be 20 dollars.

your second payment is 25% of 200 which is 50 because 200*.25=50

adding those two payments together you get 70 dollars , meaning that you need 130 more dollars.

65% of 200 is 130 dollars , so I believe that C and G would be your correct answers

What is the area of this figure?

Answers

Answer:

806.5 in ^2

Step-by-step explanation:

Separate into 3 figures: rectangle, trapezoid, and triangle

Rectangle:

A = 16*9

A = 144

Trapezoid:

A = ((16+31)/2)*15

A = 352.5

Triangle:

A = (31*20)/2

A = 310

TotalArea:

144+352.5+310

A = 806.5 in^2

PLEASE HELP ME im not sure which ones i think its the first one but not sure about the rest

Answers

Answer:

It’s the first and the third one

Step-by-step explanation:

what is 987/12 equal

Answers

Answer:

it's 82.25

Step-by-step explanation:

have a good day

when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number​

Answers

9514 1404 393

Answer:

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

__

Check

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

_____

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625

205/2 Setup I know the answer is 102

Answers

what i’m confused lol but it’s 102.5

In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree

Answers

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

How could I write 3 as a fraction?

Answers

You could write 3 as a fraction by 3/1

Answer:

[tex]3/1[/tex]

Step-by-step explanation:

You can put any number as a fraction by simply placing a one in the denominator spot.

Which of the following gives 54 as a product of its prime factors?
) 6x9
2x3 x 9
2x 3 x 3 x 3

Answers

Answer:

The last one, 2x3x3x3

Step-by-step explanation:

Suppose the restaurant’s description of the weights of its hamburgers is true. The dotplot below
shows the distribution of sample means from 100 simulated SRSs of size n = 5 from a normally
distributed population with µ = 8 ounces and σ = 0.54 ounces.
(b) Would it be unusual to get a sample mean of 7.6 oz or less in a sample of size n = 5 from this
population? Explain.
(c) Based on your answer to part (b), is there convincing evidence that the mean weight of
hamburgers at this restaurant is less than 8 oz? Explain.

Answers

Answer:

Step-by-step explanation:

It would be unusual because there are only one 7.6 samples out of a total of 100 samples.

72 paper clips decreased by 63% paper clips

Answers

Answer:26

Step-by-step explanation:

got a decimal but you cant have a decimal of a paper clip

Answer:

72 x 63% = 45.36 paper clips

or; 72  x .63 = 45.36 paper clips

either one will work...

Step-by-step explanation:

have a good day

Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?

Answers

$9.60
8miles/0.5miles= 16
$0.60 x 16 = $9.60

Answer:

Sorry this is so late but for those that need it. The answer is 4.8

Step-by-step explanation:

In order to get this i set up my equation like so.

0.60*(0.5*16)=y

Why I did it like this is because for every 0.5 thats half a mile so 8 miles times 2 to get the half miles was 16.

After figuring out that i started my equation and got

0.60*8=y

Then to finish it and get $4.8 Donated.

Hope this helped

A brainliest is always appreciated.

Which inequality is best represented by this graph?

Answers

Answer:

A. x-3y<5

Step-by-step explanation:

x-3y__5

I would plug in 0,0 since it is in the shaded region

0-3(0)<5

0<5

Since it is a dashed line it is just <

Function tables are?

Answers

Answer:

a table that describes a function by displaying inputs and corresponding outputs in tabular form

Step-by-step explanation:

Determine the simple interest when: principal: $15,850 interest rate: 3.75%, time: 7 year

Answers

$4,160.625

Step-by-step explanation:

principle (p) = $15,850rate (r) = 3.75%time (t) = 7 yearssimple interest = (p × r × t) ÷ 100 = (15850 × 3.75 × 7) ÷ 100 = 416,062.5 ÷ 100 = 4,160.625

MARK ME AS BRAINLISTPLZ FOLLOW ME

what are the coordinates of the endpoints A'B after a reflection of segment AB over the line y = - x?

A' (-6,1)
A' (1,-6)
A'(-1,6)
B'(4,2)
B'(-4,-2)​

Answers

Answer:

by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)

i hope these are the answers you are looking for

Step-by-step explanation:

polynomial for 4c+4d

Answers

Answer:

4(c+d)

Step-by-step explanation:

A temperature of F degrees Fahrenheit is the same as 5/9(f-32) degrees Celsius. According to weather records, the highest recorded temperature in the state of Ohio is 113 degrees Fahrenheit. What is the record high temperature in degrees Celsius

Answers

Answer:

45 degrees Celsius

Step-by-step explanation:

Find the missing base

Answers

Parallelogram area = height * base
base = Parallelogram area / height
base = 20 / 4
base = 5

Manuel paid off 88% of his debt. He originally owed $$$1950. How much does Manuel owe now?

Answers

Answer:

234

Step-by-step explanation:

234 because you have to do 1950 - 88% which will get you 234$

1 Which is the simplified form of the expression (1021495* (104)05) ?? 1 30 O O g30 012 060 O p12,60​

Answers

Answer:

7

Step-by-step explanation:

40 points please help me due in 50 minutes!

Answers

u use sin
sin50 = b/10
b=10(0.76)
b=7.6

It cost $2,845.80 for 3 people to go on a sightseeing vacation to Washington DC. How much did it cost in dollars per person?

Answers

It will be LESS
than 2,845.80

Answer:

It costs $948.60 per person

Step-by-step explanation:

When you divide 2,845.80 by 3 we get 948.6.

I hope this helps you in any way:)

Factor the polynomial completely.

9g^2 - 30gh + 25h^2

Answers

Answer:

Step-by-step explanation:

It's a perfect square.

It factors into (3g - 5h)^2

or (3g - 5h)(3g - 5h)

Make sure it is correctly factored.

3g*3g = 9g^2

3g * - 5h  = - 15gh

-5h*3g = - 15gh

5h*5h = 25h^2

These four terms add to 9g^2 - 15gh - 15gh + 25h^2 = 9g^2 - 30gh + 25h^2 which is exactly what you started with.

How do you solve (w+4)6

Answers

You can solve (w + 4)*6 by setting them equal to zero

(w + 4)*6 = 0

6w + 24 = 0

6w = -24

w = -4

Answer:

(w+4)6

=6w+24

6w=-24

w=-24/6

w=-4

HELP PLS PLS PLSBPLSBPLS PLS

Answers

Answer:

a and c are correct

b and are wrong

bc length=ab length=4 squres

so triangle is isosceles.a is correct

abc angle is right angle.so c is correct

triangle has only one line of symmetry.that will be the line joining b and the mid point of ac

ac side is bigger than other two sides.so d is incorrect

a- False
b- i’m not sure sorry, i think false
c- True
d- True
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