A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.

How many people between the ages of 35 and 54 prefer football?

Answer:

A and B

Step-by-step explanation:

[tex]\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2[/tex]

Now, look at your answer choices, which options are less than or equal to -2?

x ≤ -2, Check your answers:

A. -3 ≤ -2?

This statement is correct (-3 is < -2)

B. -2 ≤ -2 <== our original answer

This statement is correct (-2 is = to -2)

C. -1 ≤ -2

This statement is incorrect (-1 is > -2, not ≤ -2)

D. 0 ≤ -2

This statement is incorrect (0 is > -2, not ≤ -2)

E. 1 < -2

This statement is incorrect (1 is > -2, not ≤ -2)

Therefore, the correct options are A and B

Hope this helps!

Answer:

First we must distribute the 2.6 to everything inside the ()

The new equation would then be 14.3p-32.24 = 127.92

Then you would add a -32.24 to each side of the equal sign, so that the 32.34 would become a zero pair on the right side of the equal sign and cancel.

The new equation would then be 14.3p = 160.16

Then you divide each side of the = by 14.3, that way the p becomes isolated. 14.3p/14.3 = 160.16/14.3

Then you're left with p=11.2

Answer:9x1016

Step-by-step explanation:

when adding or subtracting in standard form (aka scientific notation), the powers of 10 need to be the same. If they are just add the numbers and keep the same power of 10

#2xx10^(16)+7xx10^(16)

= ( 2 + 7 ) × 10 16

9 × 10 16

Answer: 77 is right.

Step-by-step explanation:

In the given box-and-whisker plot, the value of first quartile is 85.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

From the given box and whisker plot,

Minimum=77

Maximum=92

First Quartile=85

Median=87

Third Quartile=89

Therefore, in the given box-and-whisker plot, the value of first quartile is 85.

Learn more about the box plot here:

https://brainly.com/question/1523909.

#SPJ2

Answer:

  (a)  There are asymptotes at x=3/2 and x=-1/3

Step-by-step explanation:

The denominator zeros can be found by factoring:

  f(x) = (x +1)/((2x -3)(3x +1))

Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.

The asymptotes are at the values of x where the denominator is zero:

  2x -3 = 0   ⇒   x = 3/2

  3x +1 = 0   ⇒   x = -1/3

Answer:A There are asymptotes at x=3/2 and x=-1/3

Step-by-step explanation:

Answer:

11.80

Step-by-step explanation:

The $11.80 will be her July finance charge option (c) is correct.

It is given that Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle.

It is required to find the July finance charge.

It is defined as the annual percentage rate that represents the yearly interest rate on the borrowing.

We have a principal amount = $969.26

APR = 14.61 %

Per month percent rate = [tex]\frac{14.61}{12}[/tex] ⇒ 1.2175 %

We can calculate the finance charge from the given formula:

Finance charge = Principal value×rate×Time

= 969.29×1.2175%×1

[tex]= 969.29\times\frac{1.2175}{100}\times1[/tex]

= $11.80

Thus, the $11.80 will be her July finance charge.

Learn more about the finance charge here:

https://brainly.com/question/2588555

Answer:

23 /5=4.6

4 3/5

4 6/10

Answer:

1. SSS

2. SAS

3. ASA

4. ASA

Step-by-step explanation:

1. All three sides are equal.

2. Two sides are equal and the angle between the two sides is equal.

3. Two angles are the same and a corresponding angle is the same.

4. Two angles are the same and a corresponding angle is the same.

Answer:

5.2z

Step-by-step explanation:

When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.

3.1 + 2.1 = 5.2

So 3.1z + 2.1z = 5.2z

Matt travelled on a bike and cover a distance of 60 miles . If he had gone 6mph faster, he would have arrived 5 hours. Therefore, the actual rate  is 6 mph.

Rate is the ratio between two related quantities in different units.

He went on a bike ride of 60 miles.

He realized if he had gone 6 miles per hour he would have arrived 5 hours earlier.

The speed he actually ride can be calculated as follows:

let

x = speed he actually ride

y = time he arrived

Therefore,

speed = distance / time

x = 60 / y

On, the other hand his permutation is as follows:

x + 6 = 60 / y - 5

(x + 6)(y - 5) = 60

since, x = 60 / y we can substitute it in the equation

(60 / y + 6)(y - 5) = 60

60 - 300 / y + 6y - 30 = 60

- 300 / y + 6y = 60 - 30

- 300 / y + 6y = 30

6y² - 300 = 30y

6y² - 30y - 300 = 0

y² - 5y - 50 = 0

y² + 5y - 10y - 50 = 0

y(y + 5) -10(y + 5) = 0

(y - 10)(y + 5) = 0

y = 10 or -5

we cannot use negative values.

Therefore,

y = 10

x = 60 / y = 60 / 10 = 6 miles per hour

He actually rode 6 miles per hour.

If he went 6 mph faster that would be 6+6 = 12 mph

If he arrived 5 hrs sooner that would be 10 - 5 = 5 hrs

learn more rate here: https://brainly.com/question/14040951

Based on the mean from the sample, I would expect that the number of guests that will stay at the small hotel than at the bed and breakfast would be 4.50.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

The number of guests at the small hotel in excess of those at the bed and breakfast = 7.75 - 3.25 = 4.50

To learn more about mean, please check: https://brainly.com/question/25842202

Answer:

315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

----------------------------------------------------------------------------------------------------------

At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:

S = 7.75 x 70 = 542.5

At the bed and breakfast, the mean was of 3.25 guests per night, hence:

B = 3.25 x 70 = 227.5.

The difference is given by:

S - B = 542.5 - 227.5 = 315.

Therefore, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

Answer:

x=5/2 x=-4

Step-by-step explanation:

2x^2+3x-20 = (2x-5)*(x+4)

2x-5 = 0 x=5/2

x+4 = 0 x=-4

Answer: X= -4

Step-by-step explanation:

The expression is undefined when x=3 or -3

Hope it helps.

Do comment if you have any query.

Answer: The expression is undefined when x is 3 or -3

Step-by-step explanation:

The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.

[tex]9-x^{2} =0\\[/tex]

We want [tex]x^2[/tex] to be positive so divide everything by -1

[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]

Use difference of two squares (DOTS) to factor

[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]

So x cannot be 3 or -3

Answer:

23.2 inches

Step-by-step explanation:

[tex]2(3 \sqrt{15} ) = 6 \sqrt{15} = 23.24 [/tex]

Answer:

x=8, y=4

(8,4)

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

x - 4 = -0.5x + 8

x = -0.5x + 12

1.5x = 12

15x = 120

x = 8

plug x back into one of the first equations, and you get

y = 4.

(8,4)

The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

Suppose we're given that:

Then, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]

Why do we need this loan paying formula?

It is because we can simulate this situation with above condition.

Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars

The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022

That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.

We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).

Putting values in the aforesaid formula, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]

Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

Learn more about loan payment here:

https://brainly.com/question/4234016

The other person is correct! The answer is B: $866,442.02.

---------------------------------------------------------------------------

Have a great day and God bless! :D

By using the exponential growth equation, we will see that the population triples after 5.83 months.

We know that the initial population of bunnies is 820, and it grows at a rate of 20.75% per month, then we can write the exponential growth as:

P(t) = 820*(1 + 20.75%/100%)^t

P(t) = 820*(1 + 0.2075)^t

Where t is the time in months.

Then we need to find the value of t such that the population triples, so we actually need to solve:

(1 + 0.2075)^t = 3

If we apply the natural logarithm to both sides, we get:

ln((1 + 0.2075)^t) = ln(3)

t*ln(1.2075) = ln(3)

t = ln(3)/ln(1.2075) = 5.83 months.

So, after 5.84 months, the population of bunnies will triple.

If you want to learn more about exponential functions, you can read:

https://brainly.com/question/11464095

Answer:

30 pounds in 480 ounces.

Step-by-step explanation:

16 ounces = 1 pound.

480 ounces divided by 16 = 30 pounds

Answer:

30 pounds. 480 ounces

30 pounds

divide the mass value by 16

Answer:

A river

Explanation;

A river has a "bed," they have a "mouth," and they "run."

Answer:

1/4 or 0.25in

Step-by-step explanation:

If you mean that 3/4 and 1/3 is lenght and width then:

3/4 x 1/3=1/4

1/4=0.25

1/4in^2

Answer:

2408.55 cubic yards

Step-by-step explanation:

use pi times radius squared times height, then divide by 3

Answer:

45

Step-by-step explanation:

It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left

Answer:

67.5 is the upper quartile

Answer:

50 milimeters

[tex]y = 6x - 2[/tex]

I believe this is correct

check the template in the picture below.

so the graph of f(x) is simply expanded horizontally, meaning the value A*B changed to something less than 1.

[tex]\begin{array}{|l|cc|ll} \cline{1-3} &x&y\\ \cline{2-3} f(x)=x^2&2&4\\[1em] g(x)=\frac{1}{2}x^2&2&2\\ \cline{1-3} \end{array}[/tex]

Answer:

x = 18.5 (large) , y = 6.25 (small)

Step-by-step explanation:

Let's start by assigning variables to each type of box.

The large box we will call "x"

The small box we will call "y"

We know that 8x + 4y = 173 (kilograms)

And 3x + 2y = 68 (kilograms)

Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.

8x + 4y = 173

3x(-2) + 2y(-2) = 68(-2)

-6x + -4y = -136  (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)

Add equations together:

2x = 37

x= 18.5

Now that we have x, just substitute it into any of the equations to get y.

You will see that y = 6.25

Please mark this brainliest, and I hope this helps!

Answer:

16-25y^2

Step-by-step explanation:

Hey there!

As you know, both 16 and 25 are perfect squares

All the other answers don't have both numbers as perfect sqaures

Answer:

0.33 × 0.2 = 0.066 or [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]

The solution is, 1/3 of 1/5 is 0.667.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have  to find 1/3 of 1/5

now, let,

x be the required number.

so, we get,

1/3 × 1/5 = x

or, x = 1/15

or, x = 0.667

Hence, The solution is, 1/3 of 1/5 is 0.667.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ7