At a health club, 60% of the members are men and 40% of the members are women. The average age of the men is 32 years. The average age of the women is 28 years.

What is the average age of all the members of the health club?



Enter your answer as a decimal in the box.


_ years

Answer:

Step-by-step explanation:

The answer is 13.72 because 1.4^3=2.744

and 2.744*5=13.72

The total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The equation V = 5s³ represents the total volume of  5 identical boxes

s represents the each side  length

We have to find the total volume

The value of s is given as 1.4

Plug in s value in V formula

V=5(1.4)³

V=5×1.4×1.4×1.4

V=13.72 cubic units

Hence, the total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.

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Answer:

Four songs

Step-by-step explanation:

1. Change into y-intercept form.

y = 3.25/1x + 18

y = 2.00/1x + 23

2. Graph them!!

the outcome is ( 4, 31 )

So 4 songs for $31.00

You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample?

STUDENT HOURS

KATY 5.5

MIKE 4.25

SAM 7.75

HOLLY 3.5

JAKE 6.25

Mean=[tex] \frac{Sum Of Hours}{Number of Students} [/tex]

Sum Of Hours=5.5+4.25+7.75+3.5+6.25=27.25

Number of Students=5

mean=[tex] \frac{27.25}{5} [/tex]

On dividing, 27.25 by 5, we get, 5.45

So, Mean=5.45

Answer: Option (d) : Mean=5..45hours

Answer:

35(2) - 1/2(15)

Step-by-step explanation:

35(2) + [-1/2(15)] -----> 35(2) - 1/2(15)

take away the unnecessary extra brackets and replace the plus with a minus sign

hope this helps :)

Another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response.

From the data given in the question:

= 35(2) - 1/2(15)

= 35(2) + [-1/2(15)]

Another way to write Brett’s total number of points on the test:

= 35(2) - 1/2(15)

Thus, another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).

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The pond is best described as a rectangle.

The geometric shape that best describes the pond is a rectangle. A rectangle is a quadrilateral with four right angles. Since the pond has all sides of equal length and at least one right angle, it meets the criteria to be a rectangle.

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The geometric shape that best describes the shape of the pond is a square or a rectangle.

Given that the pond is shaped like a quadrilateral with all sides 18 feet long, we can immediately rule out shapes that do not have four equal sides, such as parallelograms, trapezoids, and kites. The fact that the pond has at least one right angle further narrows down the possibilities to shapes that have at least one 90-degree angle.

Since all sides are equal in length, and there is at least one right angle, the pond could either be a square (which has four right angles) or a rectangle (which has four right angles but does not necessarily have all sides equal). However, since it is specified that all sides are 18 feet long, the only quadrilateral that fits these criteria is a square.

Yes the answer is B

The translated function is f(x) = (x - 1)² + 5.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The vertex of the original function = (0, 0)

The vertex of the translated function = (-1, 5)

Now,

f(x) → f(x + a) represents a horizontal translation of f(x)

If a > 0 then a shift to the right of a units

If a < 0 then a shift to the left of a units

Vertex = (-1, 5)

This means the translated graph has been shifted to 1 unit left.

So,

f(x) = (x - 1)²

Now,

f(x) → f(x) + c represents a vertical translation of f(x)

If c > 0 then a shift up of c units

If c < 0 then a shift down of c units

Vertex = (-1, 5)

This means,

The translated graph has been shifted 5 units up.

So,

f(x) = (x - 1)² + 5

Thus,

The translated function is

f(x) = (x - 1)² + 5

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Final answer:

To solve the inequality 0 is greater than or equal to 7n, divide both sides by 7 to get n ≤ 0. This implies n can be any number less than or equal to zero.

Explanation:

The question asks us to solve the inequality 0 is greater than or equal to 7n. This involves understanding inequalities and basic algebraic manipulation. To solve for n, we divide both sides of the inequality by 7, keeping in mind the rules regarding dividing by a positive or negative number. Since 7 is positive, the direction of the inequality remains the same. Thus, we get n ≤ 0.

This means that n can be any number less than or equal to zero for the inequality to be true. It's an important fundamental of algebra that assists in understanding how to work with inequalities and solve them correctly.

Grady's payements or wages for hourly is increased by 8 percent.

A Percentage or percent, a relative value indicating hundredth parts of any quantity.

To calcualte the increase in percentage first we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100.

According to the given question.

The intial payment for one hour was $10.50

And, after one hour the payment is $11.34

⇒ The increment in the payment  = $11.34 - $10.50 = $0.84

Therefore,

the percent increase in Grady's hourly wage  

[tex]= \frac{increment \ in \ the \ payement}{origibal \ paynent\ } \times 100[/tex]

[tex]= \frac{0.84}{10.50} \times 100[/tex]

[tex]= 0.08 \times 100[/tex]

[tex]= 8\%[/tex]

Hence, Grady's payements or wages for hourly is increased by 8 percent.

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Answer:9

Step-by-step explanation:

The most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season is 75.

To predict the number of seventh-grade students in Laticia's school who would choose summer as their favorite season, we can use the fact that she surveyed 25% of the seventh-grade students and found that 51 of them chose summer.

First, we need to find out how many seventh-grade students there are in total. Since Laticia surveyed 25%, we can set up a proportion:

[tex]\[\frac{51}{25\%} = \frac{x}{100\%}\][/tex]

Solving for x, the total number of seventh-grade students, we get:

[tex]\[x = \frac{51 \times 100\%}{25\%} = 204\][/tex]

Now, since 51 students chose summer as their favorite season out of 204 seventh-grade students, to find out how many students might choose summer if all seventh-grade students were surveyed, we can set up another proportion:

[tex]\[\frac{51}{204} = \frac{y}{100\%}\][/tex]

Solving for y, the number of students who might choose summer if all seventh-grade students were surveyed:

[tex]\[y = \frac{51 \times 100\%}{204} = 25\%\][/tex]

This comes out to (y = 51), which means if all seventh-grade students were surveyed, we could reasonably predict that 51 of them would choose summer as their favorite season. Therefore, option B) 75 is the most reasonable prediction.

Answer:

D. 2381.89

Step-by-step explanation:

Answer:

D. 2381.89

Step-by-step explanation:

Answer:

It's 13.0

Step-by-step explanation:

By Transitive property ∠XYZ = ∠WYT.

The word "transitive" refers to movement. The transitive property of equality is a property that applies when there are three quantities, a, b, and c, and if a is connected to b and b is related to c by the same rule, then a and c are related to each other by the same rule.

Let's think about the numbers a = b and b = c. Because equality has the symmetric characteristic, writing a = b is equivalent to writing b = a. It follows that b = a and b = c. A must equal c and b since the amount b cannot be equal to two separate quantities.

Given:

∠XYZ ≅ ∠​AOB and ∠​AOB ≅ ∠​WYT

As per the Transitive Property

<X = <Y

and ∠Y = ∠X,

then ∠X = ∠Z.

Similarly,

∠XYZ = ∠AOB

and ∠AOB = ∠WYT,

then ∠XYZ = ∠WYT.

Hence, by Transitive property ∠XYZ = ∠WYT.

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