Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?

A. You can use a relative frequency table to examine how data sets are related by comparing percentages.

B. Row and column relative frequency tables tell you the same information as total relative frequency tables.

C. A column relative frequency table helps compare data in two different rows.

D. In a column two-way relative frequency table, each column totals 100%.

Answer:

x ≥ 7

Step-by-step explanation:

2x -9 ≥  5

          +9

      x ≥  14

           14/2

             =7

        x ≥ 7

Answer:

C

Step-by-step explanation:

If you multiply by 100 u get C

Answer:

C

Step-by-step explanation:

To turn a number into a percentage, you must multiple it by 100.

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.

Answer:

1) 2 months

Step-by-step explanation:

y = 950x + 600

y = 1100x + 300

950x + 600 = 1100x + 300

-950x -950x

____________________ subtract slope from both sides

600 = 150x + 300 ( doesn't matter which one)

-300 - 300

____________________ subtract

300 = 150x

_________ Divide each # with the slope

150 = 150

2 = x

____________Answer 2_____________

Answer:

The Resort Complex would save you 300.

step-by-step solution:

you have to do is plug in the number of months.

then multiply

then subtract both Complexes

and compare

The Resort Complex. : y = 950(6) + 600 - 6300

The uptown suite duplex : y = 1100(6) + 300 - 6900

HOPE THIS HELPS!

Answer:

the height is 54.99 ft or 659.84 in

Step-by-step explanation:

We know that the sides of similar triangles are proportional, so we can write:

2 ft / 6 ft 3 in = x / 171 ft 10 in

Now what we must do first and pass everything to the same unit of measurement:

Knowing that 1 foot equals 12 inches:

6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in

171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in

2 ft = 2 ft * 12 in / ft = 24 in

replacing:

24 in / 75 in = x / 2062 in

x = 24 * 2062/75

x = 659.84 in

Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft

That is, the height is 54.99 ft or 659.84 in

Answer:

last one

Step-by-step explanation:

Answer: The first graph

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Given

3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides

3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side

[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )

25x = 225 ( divide both sides by 25 )

x = 9

Step-by-step explanation:

[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]

Answer:

x-3

Step-by-step explanation:

x²-6x+9 is equal to (x-3)²

The square root of any term that is positive is equal to the absolute value of the term. If x is greater or equal to 3, it makes the term positive.

So the root of x²-6x+9 is x-3  

Answer:

Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .

Step-by-step explanation:

Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.

Operations on polynomials can sometimes be open, like in division.

Operations on integers can produce irrational results , for example, dividing 11 by 9.

Answer:

The answers are :

The first number : 6

The second number : 2

The third number : 2

Step-by-step explanation:

The value of the variable x, y, and z will be 6, 2, and 2.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the numbers be x, y, and z.

The sum of three numbers is 10.

x + y + z = 10   …1

The first number minus the second plus the third is 6.

x – y + z = 6   …2

The first minus the third is 2 more than the second.

x – y = z + 2   …3

Add equation 1 and 3, we have

x + x + z = 10 + z + 2

         2x = 12

           x = 6

Subtract equation 2 from 1, we have

2y = 4

  y = 2

Then the value of z will be

6 + 2 + z = 10

            z = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

it is 3/y.

Step-by-step explanation:

the answer is 3/y because 3 comes before y in the question.

Answer:

An expression that represents the amount of  money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]

Step-by-step explanation:

Jesse had $421.56 dollars in his checking account

Now he deposited g twenty-dollar bills

Now new amount =$421.56+20g

Now he deposited k quarters

1 quarter = 0.25

k quarters = 0.25k

So, Amount in the account = 421.56+20g+0.25k

Hence an expression that represents the amount of  money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Step-by-step explanation:

Answer:

Number of  Real Solutions = 1

Number of  Extraneous Solutions = 1

Real Solutions = (x = 3)

Answer:

Both are correct.

Step-by-step explanation:

A square is a rhombus because it has 4 equal sides but it also has two pairs of parallel side which therefore makes it a parallelogram as well.

Answer:

Both are equal in volume

Answer:

A

Step-by-step explanation:

So first you would distribute the 2

y - 8 = 2x + 6

Then you add 8 to both sides

y = 2x + 14

So your answer is A

Answer:

1. C

2. A

Step-by-step explanation:

Hope these are right!

Answer:

Question 16's answer is choice B. divide both sides by 6

Step-by-step explanation:

6a=27

You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.

Answer:

Question 25's answer choice is B. 5

Step-by-step explanation:

1 3/4 + 5/6 =

7/4 + 5/6 =

21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)

Good luck! Have a great day! Hope this helps!

(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)

Answer:

[tex]\mathrm{F}[/tex]

Step-by-step explanation:

[tex]y+8=4(x-5)[/tex]

[tex]x=5\\y=-8[/tex]

[tex](-8)+8=4((5)-5)[/tex]

[tex](-8)+8=4(0)[/tex]

[tex]0=0[/tex]

Answer:

$1.50

Step-by-step explanation:

29 part c

3÷2= 1.50

3 is the cost

and 2 is the cups

for 3 drinks it would cost $1.50

b. c=4s

you multiply x times 4 to get y

Answer:

$535.78

Step-by-step explanation:

First find out the annual earnings. So multiply 3.4% by 445

0.034 x 445 = 15.13

That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.

15.13 x 6 = 90.78

Now add that to the initial value.

90.78 + 445 = 535.78

That's the balance in the account after 6 years...

$535.78

Answer:

Step-by-step explanation:

A boat is carrying containers that weigh 1000 pounds each.

For the table

2 x 1000 = 2000

4 x 1000 = 4000

7 x 1000 = 7000

For the graph

2, 4, and 7 are given as your X  axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.

Answer:

1 hour

Step-by-step explanation:

mph means miles per hour so in 1 mile it would be 1 hour

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

Answer:

C) 0 ≤ x ≤ 25

Its correct! Hope this helps :)

Answer:

26.67m/s²

Step-by-step explanation:

From the question we are given

Final velocity = 30m/s = v

Initial velocity = 10m/s = u

We were not given time but we were given distance = 15m

Therefore we would be using the formula:

Acceleration = v² - u²/ 2s

Where S = distance

v = final velocity

u = initial velocity

Acceleration (a) = 30² - 10²/ 2 × 15

a = 900 - 100/ 30

a = 200/30

a = 26.666666667m/s²

a = 26.67m/s²