70 students choose to attend one of three after school activities: football, tennis or running. There are 30 boys. 13 students choose football, of which 9 are girls. 31 students choose tennis. 9 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.

The formula for the given inverse proportion is:

y = 1/x

The general formula of an inverse proportion is written as:

y = k/x

Where k is the constant of proportionality.

In this case, we know that the point (8, 0.125) belongs to the graph, then replacing these values on the general formula we get:

0.125 = k/8

Solving for k we get:

0.125*8 = k = 1

Then the inverse proportion is:

y = 1/x

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Answer:

[tex]\Longrightarrow:\boxed{\sf{h=14}}[/tex]

Step-by-step explanation:

Isolate the term of h from one side of the equation.

Use the distributive property.

Distributive property:

→ A(B+C)=AB+AC

First, multiply expand.

⇒ -5(3h-8)

⇒ -5*3h=-15h

⇒ -5*8=40

Rewrite the problem.

→ -15h+40

⇒ 7h-15h+40=-72

⇒ 7h-15h=-8h

→ -8h+40=-72

Subtract by 40 from both sides.

⇒ -8h+40-40=-72-40

Solve.

⇒ -72-40=-112

⇒ -8h=-112

Then, you divide by -8 from both sides.

⇒ -8h/-8=-112/-8

Solve.

Divide the numbers from left to right.

→ -112/-8=14

[tex]\Longrightarrow: \boxed{\sf{h=14}}[/tex]

I hope this helps! Let me know if you have any questions.

Answers:

1,

3,

4

Step-by-step explanation:

The amount that the would be paid after 40% discount is $27

Given Data

Let us find the cost of three shirt

= 15*3

= $45

Let us find 40% discount of $45

= 40/100*45

= 0.4*45

= $18

Let us find the amount after discount

= 45-18

= $27

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Answer:

4 is you answer

Step-by-step explanation:

I think.

Hope you get smarter

Answer: -1

in a function:

f(x) = mx + b

or

y = mx+ b

y=f(x) so,

y = -(1) x - 3

m=slope --------

x=x-coordinate

b=y-intercept

Answer:

258,620

Step-by-step explanation:

687 x 391 = 268,617

You keep the 268 part but instead of 617 it is 620.

Answer:

2808 families

Step-by-step explanation:

23400/100 = 234

234*12 = 2808

Answer:

Option A, x - 5 + 1

Step-by-step explanation:

Step 1:  Convert sentence into an expression

Five less than the quantity of a number plus one

  (quantity..x - 5)                                          +      1

x - 5 + 1

Answer:  Option A, x - 5 + 1

Answer:

Step-by-step explanation:

Habits can be changed. This is shown in the text when it says "Know you can do it."

Hope this helped!

Answer:

[tex]2\frac{1}{8}[/tex]

Step-by-step explanation:

On the 3 days that the the worker served less than a cup of food, he served 7/8 of a cup, and 5/8 of a cup twice. Now we add these.

[tex]\frac{7}{8} +\frac{5}{8}+ \frac{5}{8} =\frac{17}{8}\\ \\\\\frac{17}{8} = 2\frac{1}{8}[/tex]

Answer:

504 Paise

Step-by-step explanation:

10x = 5040

x = 5040/10

x = 504

Answer:

C 120 degrees

Step-by-step explanation: 3 times 4 equals 12 so if 4 peices are eaten then there is only 2/3 left so theres only 240 degrees left of the pizza so we take 360 minus 240 we get 120 so there is 120 degrees of pizza eaten by johnson.

explain

...................

This is easy....

First, the frequency is how many times a number or certain value in a set of data appears...

So basically, its asking you for the number of times that a number in between 0 and 9 appears in the data set:

23, 15, 18, 11, 30, 32, 47, 5, 9, 10, 0, 34, 39, 49, 9

To make this easier, we can put them in numerical order.

0,5,9,9,10,11,15,18,23,30,32,34,39,47,49

Now, just single out the numbers before 10.

0,5,9,9

4 numbers, so its 4. The number of times a number between 0 and 9 appears in the data set is 4. That goes in the Frequency side...

Do you understand it better now?

Let me know if you need more help! :)

Answer: y = -1

Step-by-step explanation:

Any vertical line's equation is 'y ='

You would get -1 by looking at the line's position on the y-axis

Hope that helps!

Answer:

D

Step-by-step explanation:

I have learned this in the past and did some research

Answer:

Step-by-step explanation:

Kinetic Energy formula

Substituting the given values

Answer:

145,200 J

Step-by-step explanation:

Answer:

z = 7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A. March

Step-by-step explanation:

You can tell by subtracting the tallest bar in the month from the shorter one, and seeing which number is bigger out of all of them.

Hope this helped :)

Answer:

A. March

Step-by-step explanation:

March:

10 - 2 = 8

April:

14 - 10 = 4

May:

18 - 16 = 2

June:

16 - 16 = 0

From this data, we can see that March has the largest difference in the amount of money between year 1 and year 2.

Answer:

  1.6 N/kg

Step-by-step explanation:

The units of gravitational field strength are newtons per kilogram. The joule is a derived unit equivalent to a newton·meter.

Then the field strength is ...

  newtons/kg = (1.2 N·m)/((1 m)(0.75 kg)) = 1.6 N/kg

Hey there!

IDENTIFYING the LIKE TERMS OF….

5x, 6, 8yz, & -2w

Unfortunately, you don’t have any like terms because NONE of the terms don’t have anything alike with them.

Here’s examples of like terms (we will use the values you have listed above)

• 5x & -4w would give you 1x or simply x

• 6 - 2 would give you 4

• 8yz - 4yz would give you 4yz

• -2w - 1w would give you -3w

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

WRONG

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You use PEDMAS - priority of calculation

1) Paranthesis

2) Exponents

3) Divide or Multiple (whichever comes first, reading left to right)

4) Add or Subtract (whichever comes first, reading left to right)

Also, there are no unknowns, all numbers are known so no chance of having multiple answers.

Answer:

6

Step-by-step explanation:

divide 30 by 5 to get the answer

30÷5=6

The polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 is; -3x² -4x +7.

Let the polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 be represented by P.

In essence;

By subtracting 3x² +4x + 7 from both sides of the equation to obtain the value of P; we have;

Ultimately, P = -3x² -4x +7.

Read more on polynomials;

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