Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to
select, how many different outcomes are possible?
a. 484
b. 462
c. 44
d. 22

Answer:

ur mom

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to  2.25. Multiply this number by 100 to get it as a percent and you have 22.5%

22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.

To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."

The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.

So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100

= (9 / 40) x 100

= 22.5%

Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

Learn more about Percentage here:

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Answer:

A

Step-by-step explanation:

Answer:

£442

Step-by-step explanation:

see vid on how to calculate cm² of a box here

Answer:

17cm²

Step-by-step explanation:

area of box =l×w

10cm×10cm=100cm²

0.17×100cm²=17cm²

Answer:

4 electric guitars and and 5 acoustic guitars were sold.

Step-by-step explanation:

Electric guitars:  [tex]x[/tex]

Acoustic guitars: [tex]y[/tex]

[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]

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

[tex]y + x = 9\\339y + 479x = 3611[/tex]

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

[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]

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

[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]

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

[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]

Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].

[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]

Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.

Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.

Answer:

y = 2 v2, 2 square root 2

Step-by-step explanation:

since it's a right triangle with a 45°, that means the other angle is also 45°

which makes both sides the same

Pythagoras

4^2 = y^2 + y^2

16 = 2 y^2

16/2 = y^2

8 = y ^2

v8 = y

2 v2 = y

note: (v = square root)

Answer:

[tex]2\sqrt{2[/tex]

Step-by-step explanation:

The ratios of a 45 - 45 - 90 triangle is [tex]1:1:\sqrt{2}[/tex]

To get 4 for the hypotenuse, you need to mulitpy [tex]\sqrt{2}[/tex] by [tex]\sqrt{8}[/tex].

[tex]\sqrt{2}[/tex] x [tex]\sqrt{8}[/tex] = [tex]\sqrt{16}[/tex]

Simplify.

[tex]\sqrt{16} = 4[/tex]

If you simplify the [tex]\sqrt{8}[/tex], it equals [tex]2\sqrt{2}[/tex].

Since the ratio is [tex]1:1:\sqrt{2}[/tex]

The sides will be [tex]2\sqrt{2}:2\sqrt{2}:4[/tex]

Answer:

The ordered pair (1, 9) represents the unit rate as cost per pair of pants.

and

The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.

Step-by-step explanation:

hope this helped

Answer:

With this hypotenuse calculator you will quickly find this longest side of a right triangle. If you want to know what is the hypotenuse

Step-by-step explanation:With this hypotenuse calculator you will quickly find this longest side of a right triangle.

Answer:

[tex]1.76[/tex] days

Step-by-step explanation:

**Note this propably is not what you are looking for but it gets you the final answer.**

Given the eqaution [tex]y=9^{5x}[/tex]

Lets solve for x.

Step 1.

Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex]  and [tex]b=5[/tex].

Step 2.

Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.

[tex]ln(y)=b*x*ln(a)[/tex]

Step 3.

Divide both sides of the equation by [tex]b[/tex]

[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]

Step 4.

Divide both sides of the equation by [tex]ln(a)[/tex]

[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]

Now we have our equation to solve for the number of days.

Step 5.

Plug [tex]9[/tex] back in for [tex]a[/tex]  and [tex]5[/tex] back in for [tex]b[/tex].

[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]

Step 6.

We are given 243 million for [tex]y[/tex].

Lets plug in 243 million.

[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]

Step 7.

Solve for x.

[tex]x=1.7575419...[/tex]

Lets round to the hundreth's place.

[tex]x=1.76[/tex]

1.76 days

Answer:

1.9

Step by step answer

step1 finding the mean

(7+4+7+7+2+10+12+8+7+5)/10 = 6.9

step2 Difference between each data

Difference between 7 and 6.9 is 0.1

Difference between 4 and 6.9 is 2.9

Difference between 7 and 6.9 is 0.1

Difference between 7 and 6.9 is 0.1

Difference between 2 and 6.9 is 4.9

Difference between 10 and 6.9 is 3.1

Difference between 12 and 6.9 is 5.1

Difference between 8 and 6.9 is 1.1

Difference between 7 and 6.9 is 0.1

Difference between 5 and 6.9 is 1.9

step3 add all the Difference

0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4

step4 divde it by n

19.4/10 = 1.9

so the answer is 1.9

Answer:

Each CD was $14.1.

Step-by-step explanation:

43.50 - 1.30 = 42.2

42.2/3 = 14.1

Answer:

if you are trying to find the length of the other three sides then

40 = 3x + 7

Step-by-step explanation:

Answer:

[tex]\frac{1}{28}[/tex]

__________________________________________________________

When doing problems like this where you have to divide fractions by whole numbers, you can try skip counting or multiplying.

So:

[tex]\frac{1/4}{7} = 28[/tex]because it skip counts 28 times.

28 as a fraction is [tex]\frac{28}{1}[/tex], which we have to flip to make [tex]\frac{1}{28}[/tex] as our answer.

__________________________________________________________

Ask in the comments box.

Answer:

85 degrees

Step-by-step explanation:

The angles in a quadrilateral add to 360 degrees, so x+109+96+70=360.

This means that x=360-109-96-70=85 degrees

the answer is 118 degrees

Answer:

Angle D = 118°

Step-by-step explanation:

Check out the attached photo.

The increase in monthly amortization has result of higher interest rate is $349.86.

We have given ,the smiths were just approved for a 25 year mortgage at an 11% fixed rate. if they had not filed bankruptcy in the past, they could have gotten a rate of 7%.

We have to calculate the mortage value when loan amount is,$128,000,

[tex]A = P \times ((r(1+r)^n)/((1+r)^n-1))[/tex]

A = is the amortization

P = is the principal

r = is the rate

n = is the period

We have to compute for the amortization using the 11% interest rate.

[tex]A = $128000 \times ((0.11(1.11)^{25})/((1.11)^{25}-1))[/tex]

[tex]A = \$1,254.54[/tex]

When we  solve manually, the answer should be divided by 12 because it was on a monthly basis.

Next we have to compute for the amortization using the 7% interest rate.

[tex]A = $128000 \times ((0.07(1.07)^25)/((1.07)^25-1))[/tex]

[tex]A = $904.68[/tex]

When solve manually, the answer should be divided by 12 because it was on a monthly basis.

Therefore, the increase in monthly amortization has result of higher interest rate is $349.86.

To learn more about the amortization visit:

https://brainly.com/question/10561878

Answer:

(-6,10)

Step-by-step explanation:

This is simple, you just subtract 8 from the x value, and add 4 to the y value.

Hope this helps

Answer:

7 units

Explanation :

Check out my work that I’ve attached

Let me know if you have any questions!

Have a nice rest of your day :)

Answer:

B and C

Step-by-step explanation:

The point where (-2,5) is located is also a intersection between the line B and C.

Answer:

[A] 20%

[B] 400%

Step-by-step explanation:

Part A:

To Find: Percentage

= Price in 1985/price in 2003

Thus,

$62000×100%=6200000÷310000=20%

Part B:

To FInd: Percentage increase

= (Price in 2003-price in 1985)/price in 1985

Thus,

$248000×100=$24800000÷62000=400%

[RevyBreeze]

Answer:

4502

Step-by-step explanation:

6884+78=6962

6962-2460=4502

Answer:15 boxes with 4 left over have a great day :)

Step-by-step explanation:

No

To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.

Since 4 ≠ 5, the lines are not parallel.

Answer:

No, the lines are not parallel.

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, find the slopes of both lines and compare.  

Slope formula

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

Line AB

A = (0, 6)

B = (8, 0)

[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]

Line CD

C = (-3, 4)

D = (0, 2)

[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]

As the slopes of the 2 lines are different, the lines are not parallel.

c , Natural selection is the process where species evolved over time through trying to adapt their environment.

A=160 m

Hope it helps.

Do comment if you have any query.

- area: 160 m²

- Asked to find the area of the rectangular pool.

- Given with width of the pool is 10 metres and length is 16 metres.

- multiplication

- 10 * 16

- area: 160 m²

Additional ===========

Answer:

Point C, because it is the only place on the picture where the lines cross.

Answer:

point C

Step-by-step explanation:

That is the point where they intersect

Answer:

The answer is 7.

Step-by-step explanation:

7 + 2 is 9.

9 x 3 =27

27 - 7 =20.

Since the original number is 7 then we add 7 to 20.

7 + 20 = 27.

So, the number he started with is 7.