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Snezhnost [94]
3 years ago
10

There are 16 girls and 20 boys what is the ratio of girls to boys

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
  The ratio is 4:5 girls to boys
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Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 100
marissa [1.9K]

The mean is the average of the numbers.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is

100+65+120+150+90+0+x=525+x.

The number of days is 7.

Thus, the mean is

\text{mean}=\dfrac{525+x}{7}.

You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:

\dfrac{525+x}{7}=100,\\ \\525+x=700,\\ \\x=700-525,\\ \\x=175.

Answer: 175 sit-ups

5 0
3 years ago
4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
cricket20 [7]

Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Step-by-step explanation:

Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

Put m:n=3:4

Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Now plot point E.

Download pptx
3 0
3 years ago
The polynomial p(x) = x3 – 6x2 + 32 has a known factor of (2 - 4).
Dima020 [189]

Answer:

x3-6x2+32

Step-by-step explanation:

7 0
2 years ago
Lowest common factor of 6 and 12
xxTIMURxx [149]

Answer:

36

Step-by-step explanation:

It's so obvious lollllll

5 0
2 years ago
Read 2 more answers
He can either pay a $150 joining fee and a $10 monthly fee or he can pay a $50 joining fee and a $30 monthly fee. On what month
larisa86 [58]

Answer:it will take 5 months for the cumulative costs of the plans to be equal and the total cos is $200

Step-by-step explanation:

Let x represent the number of months that for which the cumulative costs of the plans will be equal.

Let y represent the total cost of using plan A for x months.

Let z represent the total cost of using plan B for x months.

He can either pay a $150 joining fee and a $10 monthly fee. This means that the total cost of using plan A would be

y = 150 + 10x

For plan B, he can pay a $50 joining fee and a $30 monthly fee. This means that the total cost of using plan B would be

y = 50 + 30x

To determine the number of hours for which the cumulative costs of the plans will be equal, we would equate y to z. It becomes

150 + 10x = 50 + 30x

30x - 10x = 150 - 50

20x = 100

x = 100/20 = 5 months

The total cost would be

150 + 10 × 5 = 150 + 50 = $200

6 0
2 years ago
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