A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in six seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?

Answers

Answer 1

Answer:

0 sec. I help him get the tourist too :)

Step-by-step explanation:

jk, but her cub takes 13 and the mama 4

Answer 2

Using the together rate, it is found that it would take each bear 9 hours to open the car door alone.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, the rates are as follows:

Together rate: 1/6.Mama's rate: 1/x.Cub's rate: 1/(x + 9).

Hence:

[tex]\frac{1}{x} + \frac{1}{x + 9} = \frac{1}{6}[/tex]

[tex]\frac{x + 9 + x}{x(x + 9)} = \frac{1}{6}[/tex]

[tex]x^2 + 9x - 12x - 54 = 0[/tex]

[tex]x^2 - 3x - 54 = 0[/tex]

Quadratic equation with coefficients [tex]a = 1, b = -3, c = -54[/tex], hence:

[tex]\Delta = b^2 - 4ac = (-3)^2 - 4(1)(-54) = 225[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{3 + \sqrt{225}}{2} = 9[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{3 - \sqrt{225}}{2} = -6[/tex]

It would take each bear 9 hours to open the car door alone.

To learn more about the together rate, you can take a look at https://brainly.com/question/25159431


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area of a 12 ft circle

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113.10 feet, 16,286 square inches, 12.566 square yards, 10.507 square meters, 105,071 square centimeters

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Step-by-step explanation:

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The answer :
It’s the 4th one

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Answer:

p=2(l+b)

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A=l*b

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(0, -3) and (9,0)
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The slope of (0,-3) and (9,0) is 1/3

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Answer:

21

Step-by-step explanation:

a=( (a+b)/2 ) * h

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Answer:

9 + 5 = 14 x 3 = 42 divided by 2 is 21

Find the geometric mean of each pair of numbers 12 and 50

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The answer is 4, correct me if I’m wrong.

of all the songs on a playlist, 1/3 are rock, 1/8 are dance, and the rest are country. what fraction of all the songs on the playlist are country?

Answers

Answer:

13/24

Step-by-step explanation:

First, it would be easier to find the common denominator of 1/3 and 1/8. The easiest way to do that is to do 3x8=24. This means the common denominator is 24 and so we must convert the fractions so they have this denominator.

1/3 --> 8/24

1/8 --> 3/24

Now, we can simply add these fractions together to find out the fraction of songs that are NOT country songs.

8/24 + 3/24 = 11/24 songs are not country songs.

To find out the fraction of songs that are country, simply do 1 (or 24/24) take away 11/24.

24/24 - 11/24 = 13/24 songs are country songs.

In VWX, ZW XV, XV = 13 and VW = 8. Find the length of WX. .​

Answers

Answer:

It is an isosceles triangle with angle V at the vertex

The measures of the other 2 angles are

angle W and angle X = (180 -50) / 2

angle W and angle X = 65 degrees each

Step-by-step explanation:

Someone help my sister out, cause I’m not helping her I’m to lazy. Lolz.

Answers

Answer:

72 sq. cm.

Step-by-step explanation:

V = b * h

4 * 6 = 24 which is the base of this object

24 * 3 = 72 which is the volume of this object

A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 2ft and a radius of 5ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be 8572.20. How much will the metal cost per square foot? Use 3.14 for pi, and do not round your answer.

Please give an understandable step-by-step explanation. Thank you !!

Answers

Answer:

$39 per square foot.

Step-by-step explanation:

The cylinder has a height of 2 feet and a radius of 5 feet.

The total cost of the metal will be (assuming US dollars) $8572.20.

And we want to determine the cost per square foot.

First, we can find the surface area of the cylinder. The surface area for a cylinder is given by the formula:

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where r is the radius and h is the height.

Since the radius is 5 feet and the height is 2 feet and using 3.14 for π, the surface area is:

[tex]SA=2(3.14)(5)^2+2(3.14)(5)(2) =219.8\text{ feet}^2[/tex]

Therefore, to find the cost of metal per square foot, we can divide the total cost over the amount of surface area. Hence:

[tex]8572.20 / 219.8= \$ 39 \text{ per square foot}[/tex]

So, the metal costs $39 per square foot.

5kg of compost cost £7.50. Find the cost of 3kg of compost

Answers

Answer:

£4.5

Step-by-step explanation:

5kg= £7.50

£7.50/5 = £1.5

£1.50 =1 kg

£1.50 times 3 equals £4.5

£4.5

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Answers

12.8 degrees

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sin(x) = 12/54

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Mr. Kowolski ordered 35 boxes of granola bars. Eoch box contained 24 granola bors.
What is the total number of granola bars Mr. Kowolski ordered?

Answers

Answer:

The total amount of granola bars ordered were 840 granola bars.

Step-by-step explanation:

Multiply 35 by 24.

If Mr. Kowolski ordered 35 boxes of granola bars and Eoch box contained 24 granola bors then 840 is the total number of granola bars Mr. Kowolski ordered.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Mr. Kowolski ordered 35 boxes of granola bars.

Each box contained 24 granola bors.

We need to find the total number of granola bars Mr. Kowolski ordered.

To find this we have to multiply thirty five with twenty four.

Multiplication is a method of finding the product of two or more numbers

35×24

We get eight hundred forty

840

Hence, 840 is the  total number of granola bars Mr. Kowolski ordered.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

How do you dilate a shape by 3 and 5?

Answers

Answer:

To dilate a shape by 3 and 5, I believe you simply multiply them with the original numbers given.

What is the measure of JK?
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Answers

Answer:

125 degrees.

Step-by-step explanation:

L is the midpoint of NK so the arcs NM and Mk are equal.

So MK = 55 degrees and the arcs JN and JK are equal

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JK =

(360 - 2*55)/2

= (360 - 110) / 2

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= 125 degrees.

name the missing numerator. ?/9 = 36/81

Answers

The answer is 4

I hope this helps :)

Answer:

the missing number is 6

Step-by-step explanation:

because is you do 6/9 and multiply it by it self it

equals 36/81

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You have 24 coins valued at $3.00. Some of the coins are dimes and some are quarters. Find the number of each coin that you have.

Answers

Answer:

10 Quarters and 5 dimes

Step-by-step explanation:

10 Quarters = $2.50

5 dime = $0.50

Answer:

20 dimes and 4 quarters

Step-by-step explanation:

So, a dime is 10 cents and a quarter is 25

So, let's say you have x dimes and y quarters

X+Y=24 (total amount of coins)

Also,

10x+25y= 300 (cents)

I just put the 3 dollars into cents

Now, you have a system of equations and we should solve it:

X+y=24 ----x=24-y

10x+25y=300

So substitute x in the 2nd equation

10(24-y)+25y=300

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240+15y=300

15y=60

y=4

Now that you know the amount of quarters, you can just say that you will have 20 dimes since 24-4=20

So, 4 quarters and 20 dimes

Check:

20 dimes=2 dollars

4 quarters= 1 dollar

correct

6²•8² = [?]
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Answers

Answer:

2,304

Step-by-step explanation:

6² = 36

8² = 64

36 • 64 = 2,304

Answer:

100 I believe

Step-by-step explanation:

Ok calculator time.. 6 to the power of 2 = 36 and 8 to the power of 2 is 64 so 36 + 64 = 100. Hope that helps...

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Answers

Step-by-step explanation:

x+25+3x+27=180

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x=32

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Step-by-step explanation:

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20,000

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Answer:

the answer is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the mixed numbers into improper fractions.

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Answers

Answer:

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