Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak rental. How can Joshua determine the number of hours he can rent a kayak for himself?

Answer:

[tex]41\frac{247}{500}[/tex]

Step-by-step explanation:

41.494  

= [tex]41\frac{494}{1000}[/tex]

to simplify the fraction 494 /1000, we have to find and divide both numerator and denominator by the their highest common factor

494 = 2 x 13 x 19

1000 = 2 x 2 x 2 x 5 x 5 x 5

comparing the two, we can see that that the only common factor that both numbers share is 2, hence we divide both numerator and denominator by 2

41 494/1000

= [tex]41\frac{494}{1000}[/tex]

= [tex]41\frac{494/2}{1000/2}[/tex]

= [tex]41\frac{247}{500}[/tex]

Answer: 9.42 cm.

Step-by-step explanation:

Length of arc is given by :-

[tex]l= \dfrac{x}{360}\times2\pi r[/tex] , where r= radius and x= central angle subtended by arc.

As per given , we have

[tex]x=30^{\circ}\\\\ r=18\ cm[/tex]

Then, the length of arc will be :

[tex]l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm[/tex]

Hence, the length of arc is 9.42 cm.

The length of an arc of a circle with radius 18cm is; L = 9.426cm

The length of an arc can be evaluated using the formula;

Hence, the length of the given arc is;

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Answer:

Skkskskswks....................

Step-by-step explanation:

???

Answer:

sksksksksksksksk.

Step-by-step explanation:

equals visco girl.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}[/tex]

Distribute -2 through the parentheses

Similarly, Distribute 8 through the parentheses

[tex] \dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}[/tex]

Move 2x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{4x - 2x = 16 + 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{2x = 16 + 6}}[/tex]

Add the numbers : 16 and 6

[tex] \dashrightarrow{ \sf{2x = 22}}[/tex]

Divide both sides by 2

[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 11}}[/tex]

Hope I helped!

Best regards! :D

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , [tex]n^{th}[/tex] number in A.P is given by :

[tex]a_n=a+(n-1)d[/tex]

Putting value of n = 2 , 3 , 4 .

We get :

[tex]a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415[/tex]

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

Answer:

1/12

Step-by-step explanation:

There are 36 possible outcomes

Out of the 36 there are only 3 where the sum is 4 that is (1,3),(2,2),(3,1)

Hence probability= 3/36 which equals to 1/12

Answer:

you just add them together

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is [tex]s = 12 \ gallons[/tex]

Step-by-step explanation:

From the question we are told that

  The  number of milk drinkers considered is  [tex]m = 100[/tex]

   The  number of skim milk drinkers [tex]n = 50[/tex]

     The  gallons of milk supplied is  q =  23 gallons

Generally the proportion of skim milk drinkers is mathematically represented as

    [tex]p = \frac{n}{m}[/tex]

    [tex]p = 0.5[/tex]

Generally the gallons of milk order that is skim milk is mathematically represented as

       [tex]s = 0.5 * 23[/tex]

=>     [tex]s = 12 \ gallons[/tex]

Answer:

Management                Farming                  Construction

Step-by-step explanation:

Answer:

Variable cost $3.79 ; fixed cost = $2185.47

Step-by-step explanation:

Given the data :

Rental return(x) :

2300

2500

2700

2900

3600

4900

5400

5300

4600

3800

2100

2500

Car wash cost :

10200

12700

11000

13100

15400

21700

21400

20200

22000

18700

9900

11400

Using the online regression calculator :

The obtained regression equation is :

ŷ = 3.79X + 2185.47

Comparing the obtained result with the general form of the equation:

y = mx + c

Where m = gradient or slope whose value gives the variation in cost per rental return (x)

c = intercept, which is constant or fixed, it is the value where the regression line crosses the y axis, hence, it corresponds to the fixed cost.

Hence,

The variable cost per rental return(m)

mx = 3.79x

m = $3.79

The fixed cost :

c = $2185.47

Step-by-step explanation:

Answer: Propene (C3H6)

Step-by-step explanation: Using the formula CnH2n to solve for Alkenes, propane is the only molecule that has an alkene, with twice as many hydrogen and carbon Atoms

The Alkene is the propene having Molecular formula [tex]C_3H_6[/tex].

Alkenes are acyclic (branched or unbranched) hydrocarbons having one carbon-to-carbon double bond (C=C) and the general molecular formula CnH2n

Given:

For First, Carbon have 10 molecules then alkene have 2(10) = 20 Hydrogen.

So, (C10H22) is an Alkane.

Second, Carbon have 4 molecules then alkene have 2(4) = 8 Hydrogen.

So, (C4H10) is an Alkane.

Third, Carbon have 2 molecules then alkene have 2(2) = 4 Hydrogen.

So, (C2H6) is an Alkane.

Fourth, Carbon have 3 molecules then alkene have 2(3) = 6 Hydrogen.

So, (C3H6) is an Alkene.

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Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram it can be seen that the line is parallel to the y axis, hence we are going to locate each endpoints on the y axis.

The lower end point is on 2units while the upper end point is on 9 units both on the y axis. The distance between this two points will be the difference between the end point values i.e 9-2 = 7 units.

Hence the distance between the two points shown  is 7 units

Answer:

72

Step-by-step explanation:

An hour is 60 minutes.

Multiply the amount of tasks to the amount of times 20 goes into 60 (60/20).

3×3= 9

Once you have the amount of tasks finished in an hour (9 tasks), you will multiply 8 hours by 9 tasks.

8×9= 72

Answer:

36 girls signed up

Step-by-step explanation:

1. Create a ratio for boys to girls: 8:6

2. Multiply 8 * 6 to get 48 (amount of boys who signed up.)

Whatever we do one on side we do to the other, so multiply the girls by 6.

6 * 6 = 36

48:36 = 8:6

these ratios are proportional

Answer:

B

Step-by-step explanation:

B is true because 0.2 x 10 = 2

Answer:

12 is 6 times larger than 2

Step-by-step explanation:

2*6=12

Answer:

12 is 6 times larger than 2.

Step-by-step explanation:

12, 6, and 2 are all common. Let's say we multiply 2 by 6, we get 12. We divide 12 by 2, we get 6.

Hi there! :)

Answer:

[tex]\huge\boxed{y = -7/2x + 4}[/tex]

Given equation:

y = 2/7x - 5

A perpendicular line will have a slope that is the opposite reciprocal, therefore:

2/7 --> -7/2

Substitute the x and y coordinates of the point given to write an equation in slope-intercept form:

(-3) = -7/2(2) + b

Simplify:

-3 = -7 + b

-3 + 7 = b

b = 4

Rewrite the equation:

y = -7/2x + 4

Answer:

4,374

Step-by-step explanation: solve the exponent first then do the multiplication

Answer:

3x - 8

Step-by-step explanation:

Step 1:

( 4x + 6 ) + ( - x + 2 )

Step 2:

4x - 6 + - x - 2

Step 3:

3x - 6 - 2

Answer:

3x - 8

Hope This Helps :)

Answer:

(3x+8)

Step-by-step explanation:

(4x+6)+(-x+2)

combine like terms

(4x+-x)+(6+2)

you would end up with

(3x+8)

Answer:

c. Korey will see an overall profit in his third year of business

Step-by-step explanation:

His cost for first year

= 12500+8000

=$ 20500

Profit first year= $12000

Net Profit first year= -$8500

Second year cost= $8000

Profit second year

= 12000+12000(0.06)

= 12000+720

=$ 12720

Net profit second year = -8500+12720-8000

= -3780

Third year

Cost = $8000

Profit= 12720+12720(0.06)

Profit=$13483.2

Net profit= 13483.2-8000-3780

Net profit= $1703.2

Korey will see an overall profit in his third year of business.

The amount of money earned by any seller on the cost price is called the yield.

His cost for the first year

=  12500 + 8000

=$ 20500

Profit first year= $12000

Net Profit first year= -$8500

Second year cost= $8000

Profit second year

= 12000+12000(0.06)

= 12000+720

=$ 12720

Net profit second year = -8500+12720-8000

= -3780

Profit for Third-year

Cost = $8000

Profit= 12720+12720(0.06)

Profit=$13483.2

Net profit= 13483.2-8000-3780

Net profit= $1703.2

Therefore Korey will see an overall profit in his third year of business.

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Answer:

(1) Cluster sample

(2) Systematic sample

(3) Random sample

(4) Systematic sample

(5) Stratified sample

Step-by-step explanation:

A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.

Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.

Stratified sampling is a kind of sampling in which whole-population is distributed into homogeneous subgroups before one takes a sample. These subgroups are called strata which is mutually exclusive or related.

In this process the population members cannot be excluded.

Cluster Sampling is a method to randomly select samples from a population that is too enormous for simple random sampling.  

Using cluster sampling, the experimenter distributes the entire-population into distinct groups, called clusters. Then, a simple random sample of clusters is chosen from the population. Then the experimenter performs the analysis on data from the sampled clusters.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.

Consider all the definitions of different types of samples.

(1) Cluster sample

(2) Systematic sample

(3) Random sample

(4) Systematic sample

(5) Stratified sample

Using sampling concepts, it is found that the classifications are:

1. Cluster

2. Systematic

3. Random

4. Systematic

5. Stratified

Samples are classified as:

Item 1:

Teachers divided into groups according to their school, and all teachers are interview, hence Cluster sampling is used.

Item 2:

Every 7th customer, that is, every kth customer, hence Systematic sampling is used.

Item 3:

Random numbers, hence, Random sampling is used.

Item 4:

Every 100th customer, that is, every kth customer, hence Systematic sampling is used.

Item 5:

Four groups, then 10 for each group are selected, that is, a few members, hence Stratified sampling it used.

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Answer:

y > 2x - 4

Step-by-step explanation:

Step 1: Write out inequality

4x - 2y < 8

Step 2: Subtract 4x on both sides

-2y < -4x + 8

Step 3: Divide both sides by -2

y > 2x - 4

Answer: y = 7/3 - (4/3)*x

Step-by-step explanation:

First, let's write our line in the notation:

y = f(x)

So we must isolate y in the equation:

4x + 3y = 12

3y = 12 - 4x

y = 12/3 - (4/3)*x = 4 - (4/3)*x

Now, we have two translations, one horizontal and one vertical.

Let's define them in general cases:

Horizontal translation.

When we have y = f(x) and we want to do a horizontal translation of A units to the right (A positive) we have:

y = g(x) = f(x - A)

So we replace our variable x by x - A.

Vertical translation.

When we have y = f(x) and we want to do a horizontal translation of A units up (A positive) we have:

y = g(x) = f(x) + A.

Then in this case we have:

y = f(x) = 4 - (4/3)*x

then, the horizontal translation of 1 unit to the right is:

y = f(x - 1) = 4 - (4/3)*(x - 1)

And the translation of 3 units down (a vertical translation) is:

y = f(x - 1) - 3 = 4 - (4/3)*(x - 1) - 3  = 1 + 4/3 - (4/3)*x

y = 7/3 - (4/3)*x

This equation represents the new line.

Answer:

A=3

B=4

C=81

Step-by-step explanation:

Just did it

Answer:

a =

✔ 3

b =

✔ 4

c =

✔ 81

Hey there! I'm happy to help!

To find the volume of a cylinder, you multiply the base by the height.

First, we find the base. The base is a circle. To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14). The radius is half the diameter.

6.5/2=3.25

We square this.

3.25²=10.5625

And multiply by 3.14

10.5625(3.14)=33.16625

Now we multiply this by the height.

33.16625(12)=397.995

Therefore, the volume of this silo is 397.995 cubic meters.

Have a wonderful day! :D