The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write and solve an equation to
find the cost of 4 lessons.

Answer: 3 shirts

Step-by-step explanation:

so they are 20 a piece

5+45=50

they need to raise $50

1= 20

2=40

3=60

Answer:

Step-by-step explanation:

Answer:

New elevation = 122 meter below

Step-by-step explanation:

Given:

Current status = 77 meter below

Additional dive = 45 meter

Find:

New elevation

​Computation:

New elevation = Current status + Additional dive

New elevation = 77 + 45

New elevation = 122 meter below

Answer:

5 boys play all the two games

25 boys play only one game

Step-by-step explanation:

Sets

There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).

All the boys play at least one of the two games, so no elements are outside both sets.

There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.

Thus 20 + 15 - 30 = 5 boys play both games

Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.

Thus 15 + 10 = 25 boys play only one game.

The Venn diagram is shown in the image.

Answer:

16.08

Step-by-step explanation:

to find the answer multiply how many chips by the price to find the total,so

6x2.68=16.08

so she spent 16.08 on chips in total

Answer:

Lisa spends $16.08.

Step-by-step explanation:

You would do 6 times 2.68 and that would get you your answer. :)

Answer:

405

Step-by-step explanation:

Don't be confused about setting up the proportion. White has to go with white which is 4 and brown goes with 5.

The total is 9.

so proportion will look like this.

4/9 = 180/x          Cross Multiply

Before I solve this, notice that the white data is on top of the fraction, and the total is on the bottom of the fraction on either side of the proportion.

4x = 180 * 9

4x = 1620

x = 1620 / 4

x = 4 0 5

Notice that the brown is going to be bigger than the white but not by much

White                            180

Brown       405 - 180 = 225

Total                              405

Answer: It shifts down 4 units to 3,23 It shifts up 64 units to 3,91 It ...

Step-by-step explanation:In this section, we study how the graphs of functions change, ... 3. 4. 5 y = f(x). The Fundamental Graphing Principle for Functions says that for a point ...If the graph is transformed into the graph defined by y= f(2x–8), determine the domain of the transformed graph. y = f[2(x-4)} horizontal stretch by shift 4 ...

If new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

We need to check whether if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is true or false.

The given statement is false because Primary data collection is a process of collecting original data, directly from the source.

Hence, if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.

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Answer:

Increase=638/245*100=260.40

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

The value of α = 0.26 finding by using normal distribution.

A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

Given that,

confidence level = 74%

alpha = ?

The significance level α is the probability of making the wrong decision when the null hypothesis is true. Alpha levels which is also called as significance levels are used in hypothesis tests.

Mathematically, the value of α is determined by subtracting the level of confidence from 1, and then writing the result as a decimal.

As the confidence level is given as 74%, so the significance level would be,

α  = 1 - confidence level

 =  1 - 0.74

α = 0.26

Hence, The value of α = 0.26.

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Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

y=mx+b

M=slope B=Y-intercept

We only need to replace x by 12, so

So the answer is C

Answer:

g = 19.2

Step-by-step explanation:

cross multiply

8 × 12 = 96

5 × g = 5g

divide to get rid of 5

96 ÷ 5 = 19.2

Answer:

Step-by-step explanation:

Given function:

Find its inverse:

Correct choice is D

The correct answer is C. σ2y/vn.

This formula is used to calculate the variance of a population, which is represented by σ2y, divided by the number of samples or observations (vn).

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When rounding a number to 2 decimal places, we are essentially keeping only the first two digits after the decimal point and discarding the rest. The third digit after the decimal point is the one that affects the rounding decision.

In this case, the number y is rounded to 9.68, which means that the third digit after the decimal point is either 5 or greater than 5. If it is 5 or greater, we round up the second digit after the decimal point. If it is less than 5, we simply truncate the decimal part.

To find the upper bound of y, we need to add 0.005 to 9.68, which is the smallest possible value for the third digit that would cause rounding up:

9.68 + 0.005 = 9.685

Therefore, the upper bound of y is 9.685.

To find the lower bound of y, we need to subtract 0.005 from 9.68, which is the largest possible value for the third digit that would not cause rounding up:

9.68 - 0.005 = 9.675

Therefore, the lower bound of y is 9.675.

Hence, the upper and lower bounds of y are 9.685 and 9.675, respectively.

The denominator of the fraction is 20.

Assume the fraction’s denominator is represented by “x”. The numerator is 5 less than the denominator, based on the information provided. This may be written as (x – 5). And we are told that the fraction is equal to 3/4. As a result, we may write the equation as

⇒(x – 5) / x = 3/4

To remove the fraction, cross-multiply the equation. Multiply the denominator of the left fraction by the numerator of the right fraction and vice versa:

⇒4(x – 5) = 3x

⇒4x – 20 = 3x

⇒4x – 3x = 20

⇒x = 20

Therefore, the denominator of the fraction is 20.

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The correct question is-

The numerator of a certain fraction is 5 less than the denominator if the fraction is equal to 3/4 what is the denominator of this fraction?

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

The mathematics curriculum involves examining numbers, the equation the environment we live in, structures, and both actual and hypothetical locations. A function is a variable representation of the relationship between the quantities of intake and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, when combined, provide unique outputs for each input.

Here,

Given :

mass of a population of duckweed is 500g

=>  function m(t)= 500x³^t/45

So,

=> t = 45 hours

Since it is given that the mass of the population of the duckweed triples every 45 hours

it is clear that the time taken for the duckweed to grow a mass triple the original size will be 45 hours .

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

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The linear approximation of the function at the indicated point is as follows: F(x,y) = x -5y - 1

The linear approximation of a function is nothing more than estimating the value of the function at a location using a line. When we see a curve (of a function) with a point on it, we recall the idea of the tangent line. If we determine the equation of the tangent line at the given position, the value of the function at any location extremely near to the given point can be estimated using the equation of the tangent line. Since the tangent line is used in this process, the idea is also referred to as the "tangent line approximation" or "linear approximation."

How to solve?

In this case, our goal is to locate the linear approximation of the provided function at the stated location.

We start by replacing the values, then determine the partial derivative with regard to x and finally y.

We now sum these values, having first substituted the x and y values into the differentiated partial equation. The findings are then added up.

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14.55 out of 48.50 is 30%

Step-by-step explanation:

Answer:

y = 20

Step-by-step explanation:

Angles 2 and 4 are vertical angles, so their measures are equal.

m<2 = m<4

62 = 3y + 2

60 = 3y

y = 20

We know that y varies directly with x.

First we need to find the constant of variation

7=14k

k= 7/14

k=1/2

the equation that relates x and y is

Answer:

-4 and 7 is really your answer

The length of the hypotenuse is 10 inches.

What is a right triangle?

A given triangle is said to be a right triangle if the measure of only one of its internal angles is equal to 90^o. So that the sum of the internal angles of the triangle is 180^o.

Applying the Pythagorean theorem to the given right triangle, we have;

/Hyp/^2 = /Adj/^2 + /Opp/^2

             = 8^2 + 6^2

             = 64 + 36

             = 100

Hyp = (100)^1/2

      = 10

Therefore, the length of the hypotenuse of the right triangle is 10 inches.

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Answer

$12.41

Step-by-step explanation

1 pound is equivalent to $0.85 in the shipping fee.

To find the shipping fee equivalent to 14.6 pounds, we can use the next proportion:

Cross-multiplying and omitting the units:

Answer:

Your Balance Would Be $1400.

How I Found The Answer:

$1000 Is 100%

$1000 ÷ 100 = $10

$10 Is 1%

$10 × 8 = $80

$80 × 5 = $400

$1000 + $400 = $1400

Your Balance Would Be $1400.

Answer:

x = -8

Step-by-step explanation:

3x - 9= -33

     +9=-33+9

3x    = -24

3           3

x = -8

Answer: A. The series converges, and the terms of the series have limit 0

Step-by-step explanation: The integral test can be used to conclude that the series converges, and terms of the series have limit 0.

(I saw this question and it's answer before)