Look at the cone above. If r = 4 cm and h = 4 cm, what is the volume of the cone? (Assume = 3.14) A. 64 cm3 B. 66.99 cm3 C. 64 cm2 D. 100.53 cm3

Final answer:

There are 420 students divided into 7 parts due to the ratio of girls to boys being 4:3. With one part totaling 60 students, there are 240 girls and 180 boys. Thus, there are 60 more girls than boys.

Explanation:

To solve this problem, you need to understand the concept of ratios. In this case, the ratio of girls to boys is 4:3. This means that for every 4 girls, there are 3 boys. If we add the two parts of the ratio together, we get 7 parts. This means that the total number of students, which is 420, is to be divided into 7 parts.

So, one part of this ratio is equal to 420 divided by 7, which equals 60 students. Since the ratio claims there are 4 parts of girls and 3 parts of boys, to find out the numbers of girls and boys, we multiply each part of the ratio by 60. Hence, the total number of girls is 4 multiplied by 60, which equals 240 and the number of boys is 3 multiplied by 60, which equals 180.

Therefore, the difference in number between girls and boys is 240 minus 180, which equals 60. So there are 60 more girls than boys.

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The solution is x = 9 and y = 4, meaning Brody would work 9 hours babysitting and 4 hours cleaning tables to satisfy both conditions (total hours ≤ 13 and total earnings ≥ $150).

Given:

Brody can work a maximum of 13 hours: x + y ≤ 13

Brody must earn at least $150: 10x + 15y ≥ 150

These are the two inequalities we need to solve graphically.

Graph the first inequality: x + y ≤ 13

This inequality represents the total number of hours Brody can work, which cannot exceed 13 hours. We'll plot the line x + y = 13 and shade the region below it.

Graph the second inequality: 10x + 15y ≥ 150

This inequality represents the total earnings Brody needs to make, which should be at least $150. Let's simplify it to 2x + 3y ≥ 30. We'll plot the line 2x + 3y = 30 and shade the region above it.

Now, let's find the point where the shaded regions of both inequalities overlap. This point will represent the feasible solution where Brody's working hours and earnings satisfy both conditions.

Solving the system of inequalities graphically, you will find the point of intersection. However, since I can't create a graphical representation here, I'll explain how to calculate the solution point algebraically:

First, solve the equation x + y = 13 for y:

y = 13 - x

Now substitute this value of y into the equation 2x + 3y = 30:

2x + 3(13 - x) = 30

2x + 39 - 3x = 30

-x = -9

x = 9

Now substitute the value of x back into the equation y = 13 - x:

y = 13 - 9

y = 4

So, the solution is x = 9 and y = 4, meaning Brody would work 9 hours babysitting and 4 hours cleaning tables to satisfy both conditions (total hours ≤ 13 and total earnings ≥ $150).

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Graph y≤13−x (shading down)

graph y≥10− 3/2x (shading up)

Answer: 9000

This is because the given value is closer to 9,000 than it is to 10,000.

The digit in the thousands place is 9. The digit to the right of this is 0, which is not 5 or greater. So we round down to the nearest thousand. So basically everything after the 9 is replaced with 0.

Answer:

x^3+6x^2-6x-11

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

(x² - 6) (x + 6) + 25

x²(x + 6) + -6(x + 6) + 25

x³ + 6x² - 6x - 36 + 25

x³ + 6x² - 6x - 11

Step-by-step explanation:

14*10^0.5w=100

Solve the equation for w

divide by 14 on both sides

Convert exponential form into log form

base is 10 so we convert into log form

log (a)= x  then a=10^x

divide both sides by 0.5

Answer: