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3 years ago

A number is chosen at random from the first 20 integers. Find the probability that the number is a multiple of 3.

Mathematics

1 answer:

Fofino [41]3 years ago

4 0

Answer:

3/10

Step-by-step explanation:

Multiples of 3: 3,6,9,12,15,18

There are 6 in the numbers 1-20

P(multiple of 3) = number of "multiples of 3" / total

= 6/20

=3/10

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Please factor this problem x^2+7x-8

oksian1 [2.3K]

(x+8)(x-1)

Check:
8-1=7
8*-1=-8

5 0

3 years ago

The sum of four consecutive integers is 48. What is the smallest of four integers?<br><br> Plz hurry

damaskus [11]

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

8 0

3 years ago

Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c

sergejj [24]

Answer:

(C)c= $\frac{3}{7}$ f

Step-by-step explanation:

Clare uses $9\frac{1}{3}$ cups of flour to make 4 cakes.

It means she uses 1 cup of flour to make $4\div9\frac{1}{3}$ cakes.

Let us simplify that expression first for future use.

$4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}$

Therefore, Clare uses 1 cup of flour to make $\frac{3}{7}$ cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→ Name : Cup : Cake

→ Clare : 1 : $\frac{3}{7}$

→ Noah : f : c

By using cross multiplication

c X 1 = $\frac{3}{7}$ f

c= $\frac{3}{7}$ f

The equation c= $\frac{3}{7}$ f represents the relationship between c and f

8 0

3 years ago

Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.

denpristay [2]

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

8 0

2 years ago

Read 2 more answers

You are choosing between two health clubs. Club A offers membership for a fee of $ 28$28 plus a monthly fee of $ 20.$20. Club B

eimsori [14]

Answer:

That is to say that at 3 months, the values of the club are equal.

Club A = 268 dollars in total

Club B = 295 dollars in total

Step-by-step explanation:

The first thing is to propose an equation for each club. Let m be the number of months.

Club A = 28 + 20 * m

Club B = 19 + 23 * m

Now, to know when it is the same, we must equal the value of Club A with Club B, it would look like this

28 + 20 * m = 19 + 23 * m

By rearranging the equation we have:

23 * m - 20 * m = 28-19

3 * m = 9

m = 3

That is to say that at 3 months, the values of the club are equal.

Now to know the total value, we will do it with an annual membership, which would be a total of 12 months, therefore it is to replace in the equation of each one:

Club A = 28 + 20 * 12 = 268 dollars in total

Club B = 19 + 23 * 12 = 295 dollars in total

3 0

3 years ago