1. A school athletic director asked each athletic team member to name his or her favorite professional sports team. The results are below:
• D.C. United: 3
• Florida Panthers: 8
• Jacksonville Jaguars: 26
• Jacksonville Sharks: 7
• Miami Dolphins: 22
• Miami Heat: 15
• Miami Marlins: 20
• Minnesota Lynx: 4
• New York Knicks: 5
• Orlando Magic: 18
• Tampa Bay Buccaneers: 1 7
• Tampa Bay Lightning: 12
• Tampa Bay Rays: 28
• Other: 6 One athletic team member is picked at random. What is the likelihood that this team member's favorite professional sports team is not located in Florida? A. certain B. likely, but not certain
C. unlikely, but not impossible
D. impossible

Answer:

7 hours

Step-by-step explanation:

He already worked 4 hrs at $3.75 an hour.

Meaning he has already accumulated 15 dollars. (4 * 3.75)

$40 - $15 = $25

So if he needs $25 and he makes $4 dollars an hour:

25/4 = 6.25

He needs to work at least 7 full hours to receive 25 dollars to add with the already earned 15 dollars to total 40 dollars.

Answer: 6.25 hours

Step-by-step explanation:

Step 1: find how much he earned from the odd job

3.75 per hour for 4 hours= 3.75x4= $15

Step 2: Write an inequality

4x+15≥40

Breaking it down:

'4x' means $4 per hour for an unknown number of hours, or just "a number of hours". The reason why you put the x next to the number is because to find the total amount of money he made from that job, you'll have to multiply 4 by however many hours he worked.

15 stands for the amount of money he has right now. He finished the job that paid 3.75 an hour, so don't put an x next to the 15.

40 is the amount of money he needs.

the ≥ sign means "greater than or equal to". In other words, to be able to buy the gift, he needs 40 or more dollars. The line underneath means "greater/less than or equal to". Also, the reason why I didn't put the normal greater sign that looks like >, is beacause that would be saying he needs MORE than 40 dollars to buy the gift, which is not a true statment.

Step 2: Solve the inequality

Solving an inequality is no different from solving an algebra equation. You just ignore the ≥ sign.

4x+15≥40

#1: Always do the inverse operation on the left side number first, never the x term. In other words, always start with addition or subtraction:

See how there is a +15. do the operate equation by subtracting 15 from both sides.

4x+15-15 ≥ 40-15

4x≥25

Now divide both sides by 4. This is because 4x stands for "4 multiplied by x" and the opposite of multiplication is division.

4x/4 ≥ 25/4

x≥6.25

Step 4: Checks

Substitute x for 6.25, but write it as en equation.

4x+15=40

4x6.25 +15 = 40

25+15= 40

40=40

Correct ✅

Answer= He needs to work 6.25, or 6 1/4, or 6 hours and 25 minutes, in order to have enough money for the gift.

Answer:

The answer is B

Step-by-step explanation:

I learned this from my math teacher

Answer:

62.5%

Step-by-step explanation:

since percents are just fractions, we have 5/8 and we need to convert it into a percentage. since 100 is not divisible by 8, we can use a trick by multiplying the numerator by 100. we get 500/8 which is 62.5.

Answer:

Step-by-step explanation:

The question asks you to dilate the rectangle by a scale factor of 1/3.

KEY TERM:

Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.

Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.

___

STEP 1: LINE UP ALL THE COORDINATE PAIRS

Point U: (-6,6)

Point R: (-6,-3)

Point T: (9,6)

Point S: (9,-3)

Now the easy part is done.

STEP 2: MULTIPLY BY 1/3

It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.

I'll explain for point u then do the rest:

Point U was originally: -6,6.

-6 x 1/3= -6/3= -2.

6x1/3= 6/3= 2

The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.

Point R was originally: (-6,-3)

-6x1/3= -2

-3x1/3= -3/3= -1

The "dilated" point R is (-2,-1)

Point T was originally: (9,6)

9x1/3= 3

6x1/3= 2

The "dilated" point T is (3,2).

Point S was originally (9,-3).

9x1/3= 3

-3x1/3= -1

The "dilated' point S is (3,-1)

Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.

STEP 3: GRAPH THE NEW POINTS

see the screenshot, for reference :)

Answer:

Step-by-step explanation:

you dilate each coordinate by a scale factor of 1/3 , making the shape smaller.

Answer:

609

Step-by-step explanation:

All you must do is multiply 1450 by 0.42. That would give you the total.

Answer:

Hello! The answer to your question is 609 seats.

Step-by-step explanation:

To obtain your answer, you have to multiply the percentage of balcony seats by the total number of seats. 42% is converted to 0.42 because 42/100 = 0.42:

0.42 × 1450 = 609 seats

Answer: 3rd, 4th, and 5th are correct.

Step-by-step explanation:

We know that the equation 6(t+2) can be simplified to 6*t+6*2, also 6t+12. This causes any statements saying a variable with a certain value applies to one side also applies to the other.

Answer:

- The value of both expressions when t = 3 is 30

- The value of both expressions when t = 7 is 54

- The expressions are equivalent

Step-by-step explanation:

Plug in each value of t into the expressions:

6t + 12, when t = 3 equals 30

6t + 12, when t = 7 equals 54

6(t + 2), when t = 3 equals 30

6(t + 2), when t = 7 equals 54

We have the same answers for both expressions, meaning they are equivalent.

Answer:

Step-by-step explanation:

Good luck ✅.

Answer:

1. r = C/2π

2. A = π(C/2π)^2

Step-by-step explanation:

1. C = 2πr^2

C/2π = 2πr/2π

C/2π = r

r = C/2π

2. A = π(C/2π)^2

3. Look at screenshot

Answer:

C^2 = 4πA

Step-by-step explanation:

The first part asks us to isolate r in the equation C = 2πr. We can do that by dividing both sides by C: [tex]r=\frac{C}{2\pi }[/tex]. Note that C stands for the circumference of a circle.

The second step is to plug this value of r into the formula for the area of a circle. We know that the area of a circle is πr^2. We are given π and the exponent, so we just need to plug in [tex]\frac{C}{2\pi }[/tex] and we end up getting [tex]A=\pi (\frac{C}{2\pi })^{2}[/tex]

The third step is to square the term in the parentheses. Whenever we have to square a fraction, all we have to do is square the numerator and the denominator:

[tex](\frac{C}{2\pi })^2=\frac{C^2}{(2\pi )^2}=\frac{C^2}{2^2\pi ^2}[/tex]

In other words,

[tex]A=\pi *\frac{C^2}{2^2\pi ^2}[/tex]

For the fourth step, 2^2 can be evaluated to get 4. We end up getting the following if we do this:

[tex]A=\frac{\pi}{4 } *\frac{C^2}{\pi^2}[/tex]

For the fifth step, we can simplify because the π in the numerator of the first fraction and the π^2 in the denominator of the second fraction cancel (π^2 / π leaves π in the denominator and a 1 in the numerator). If we perform this cancellation, we get the following fraction:

[tex]A=\frac{C^2}{4*\pi}[/tex]

For the final step, we can isolate C^2 by multiply both sides by 4π. Then, we get that C^2 = 4πA

In other words, the circumference of the circle squared is equal to 4π times the area of the circle

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above1.8[/tex]

                   To turn kilometers, km, into meters, m, multiply the number

                    of km by 1,000.  This comes out as.

                   [tex]\boldsymbol{\sf{6.4\times1,000=6,400\:Metres}}[/tex]

                   To convert meters, m, into kilometers, km, divide the number

                   of m by 1,000. This comes out as

                   [tex]\boldsymbol{\sf{6,400\div1,000=6.4\:Kilometres}}[/tex]

#learnwithbrainly

[tex]\orange\hspace{300pt}\above2[/tex]

Answer:

Ben and Alisha will meet at 11:40 a.m.

Step-by-step explanation:

Given: The time at which Ben leaves his house is 7a.m. and the constant speed at which he biked due east is 15mi/hr.

The time at which Alisha leaves her house is 8a.m. and the constant speed at which she biked due west is 10mi/hr.

The distance at which Alisha lives due east of Ben is [tex]$100 \mathrm{mi}$[/tex].

To find: The time at which they meet.

a. Analyze the given data.

b. Define a variable.

c. Form an equation.

d. Solve for the unknown variable.

e. Use addition, subtraction, multiplication, or division properties.

f. Find the required time.

Step 1 of 5

Let t represent the time (in hours) from 12a.m.

We can also assume the houses as being on the number line, where Ben's house is at 0 and Alisha's house is at 100 .

Ben starts biking at 7 a.m. and he moves right (along our imaginary number line) at 15 miles per hour.

So his position at a time t is 15(t-7).

Alisha starts biking at 8a.m. and she moves left at 10 miles per hour.

So her position at a time t is 100-10(t-8).

Step 2 of 5

Ben and Alisha will meet when their positions are equal. Thus equating both the equations, we get

15(t-7)=100-10(t-8)

Using the distributive property,

15t-105=100-10t+80

Step 3 of 5

By the addition and subtraction properties,

We get,

[tex]$$\begin{gathered}15 t+10 t=80+105 \\\Rightarrow 25 t=285\end{gathered}$$[/tex]

Step 4 of 5

By the multiplication and division properties,

[tex]$$\begin{aligned}t &=\frac{285}{25} \\\Rightarrow t &=11.4 \mathrm{~h}\end{aligned}$$[/tex]

Step 5 of 5

Converting the decimal into minutes,

[tex]$0.4 \times 60=24.0 \mathrm{~min}$[/tex]

Thus the required time is 11:24a.m.

Answer:

https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/a/sampling-distribution-sample-proportion-example

Step-by-step explanation:

Click there and it will tell you

Answer:

40%

Step-by-step explanation:

using our lovely knowledge of percents (or per 100s) we can see that 100-60 is 40, which means only 40% of the votes go to the losing candidate

Answer:

A & D

Step-by-step explanation:

If you can fit 3 fish in a 9 gallon tank, that means as a point on a line, that would be at (3, 9).

If you write this as a fraction it's 3/9. Simplifying that, you get 1/3. That means 1 fish needs 3 gallons.  If you make hat a point on the line, it's (1,3).

Another equivalent fraction would be 6/18. If you multiply the numerator and denominator by 2, 3/9 becomes 6/18.

B & C are not equivalent fractions.

Answer: Tuesday, Thursday, and Saturday

Step-by-step explanation:

Pretty self-explanatory.

Answer: 77/3 or 25 2/3

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

3 1/2 = 3*2+1/2 = 7/2

2 2/3 = 2*3+2/3 = 8/3

1 1/2 = 1*2+1 = 3/2

2. Calculate within parentheses

Multiply and divide from left to right

Add and subtract from left to right

Answer:

- 53 2/3

Step-by-step explanation:

3 1/2 + (-7) x (2 2/3 + 1 1/2)

= 7/2 - 7 (8/3 + 11/2)

= 7/2 -7 (49/6)

= 7/2 - 343/6

= - 161/3

= - 53 2/3

Answer: 52

Step-by-step explanation:

We know that 25 percent is one-fourth, so whatever number divided by 4 equals 13. To do this, we can just multiply 13 by 4 to get our answer, 52.

Answer:

Step-by-step explanation:

4.009kg × 1000 = 4009g

Answer:

36. m^7

37. x^3 y

38. 6v^5

Step-by-step explanation:

Divide the exponents by the number in the radical sign,

so, If no number is given then divide exponents by 2 eg. question 38

36. 7√m^49 means m^(49/7) = m^7

37. 3√x^9y^3 means x^(9/3) y^(3/3) = x^3 y

38. √36v^10 means (√36) v^(10/2) = 6v^5 (√36 = 6)

Answer:

55 parking spaces

Step-by-step explanation:

Using unitary method:

For every 12 commuters , 5 spaces are needed.

∴ For 1 commuter:

5 ÷ 12 ⇒  [tex]\frac{5}{12}[/tex]  spaces are needed.

∴ For 132 commuters ⇒ [tex]\frac{5}{12}[/tex]  × 132 = 55 spaces.

Ans: 1.1 miles more

Speed = distance/time

Time is 1/5 of an hour

1/5 of 1hr = 1/5 or 0.2 hrs

Speed = 16 mph

So, we're after distance.

Distance = speed x time

= 16mph x 0.2

= 3.2 miles

Walks for 3/7 hour at 5 miles per hour :

Time & speed given, distance is what we're after.

(3/7 of 1hr is 3/7)

Distance = speed x time

= 5mph x 3/7

= 15/7 miles or 2.14285...miles

So, distance is about 2.1 miles to 1 d.p

Thus, 3.2 - 2.142... (the full ans) = 1.057... miles

Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.

Hope this helps!

[tex]\boldsymbol{\dfrac{3}{4}x+0.25(x-6)+28.4 }[/tex]

Use the distributive property to multiply 0.25 by x−6.

[tex]\boldsymbol{\dfrac{3}{4}x+0.25x-1.5+28.4 }[/tex]

combine [tex]\bf{\frac{3}{4}x }[/tex] and 0.25x to get x.

[tex]\boldsymbol{x-1.5+28.4}[/tex]

Add −1.5 and 28.4 to get 26.9.

[tex]\boxed{\boldsymbol{x+26.9}} \ \ \to \ \ \bf{Answer}[/tex]

Answer:

Step-by-step explanation:I would make them make all of them into a decimal or fraction that's how I do it like this       5/2   .45     27.5%

make them into a decimal this time because it looks easy so 5/2 into a decimal will be 2.5. and then 0.45   27.5% into a decimal will be will be 0.275

boom order it         2.5,  0.45,  0.275

Answer:

x = 10

Step-by-step explanation:

First, subtract 10 from both sides

Next, Simplify

Then, subtract 5/3x from both sides

After, simplify

Lastly, multiply both sides by 3

Then finally simplify for your final answer of x = 10

Hope this helps! :)

Answer:

x = 10

Step-by-step explanation:

  x + 10 = 1/3(5x + 10)
  x + 10 = 5/3x + 10/3
3x + 30 = 5x + 10
       20 = 2x
        10 = x

Answer:

[tex]18 ft^2[/tex]

Step-by-step explanation:

You could calculate the area of the trapezoid and then subtract the area of the triangle.

Area of a trapezoid:

 [tex]A = \frac{a+b}{2}h[/tex]

Plug values in:

[tex]A = \frac{6+12}{2}(6)[/tex]

Add 6 and 12:

[tex]A = \frac{18}{2}(6)[/tex]

Simplify:

[tex]A = 54[/tex]

Area of a triangle:

[tex]A = \frac{1}{2}bh[/tex]

Plug values in:

[tex]A = \frac{1}{2}(6)(12)[/tex]

Simplify:

A = 36

Subtract the area of the triangle from the area of the trapezoid

54 - 36 = 18

You could also calculate the area of the shaded region by assuming that they're congruent meaning the base would be half of 6 which is 3 and the height would be 6 so the area of one would be 1/2 (6)(3) but since they're is 2 you wouldn't need the 1/2 since multiplying by 2 would cancel it out so the area would be (6)(3) = 18

Answer:

149 liters of test solution (C)

Step-by-step explanation:

We are given that 25 mL of dye are mixed with 1.5 L of water to create 1 bottle of solution. If we convert 25mL to L, we get that there is 0.025 L of dye in each solution, and the total amount of liquid in a bottle of test solution is 1.525 L (0.025 + 1.5). Since we have 98 bottles like, the total amount of test solution is 98*1.525, which is 149.45 L. Since we have to round to the nearest whole number, the answer is C, or 149 L.

Answer:

Given:

To find:

The formula used to calculate percentage is:(value/total value)*100%.

Step-by-step explanation:

Step 1 of 2

After the 20%  sale, the coat costs

100*0.8 = 80 dollars.

Then 5 dollars are taken off for a cost of

80-5 = 75

Step 2 of 2

Now adding on the sales tax,

the final amount is 75(0.8) = 81 dollars