Solve the equation x over 2 minus 18 equals -28

Mr. Ophaug earns $100 every 2 hours for tutoring kids in math after school. He is willing to tutor up to 6 hours each week. Crea

son4ous [18]

Answer:

Hello!!

Mr. Ophaug earns $100 every 2 hours for tutoring kids in math after school. He is willing to tutor up to 6 hours each week. Create a table of values for this scenario and find the rate of change.

time (h) money earned

2 $100

3 $150

4 $200

5 $250

6 $300

Hope this helps!!

4 0

2 years ago

Read 2 more answers

(05.07) The net of a pyramid is shown below.

mote1985 [20]

Hey. Let me help you on this one.

In order for us to solve this question, we need to break this problem apart. It will make it easier to understand.

In this problem, we see five different figures - four triangles, and one square.

If we want to get the complete net-surface area, we will need to find area of each figure individually, and then, add all values together.

Let's start with a square in the center. Formula for area of a square is $S=a*a$ . In this formula, $S$ stands for total area of a square, and stands for the length of one side.

Let's substitute the values!
$S=4*4$
$S=14$

Area of the square is 14 inches squared. Awesome! Now, let's find the area of all triangles.

We can see that one of the triangles has both measures - base, and the height. We need these two values in order for us to find the measure of the triangles.

Formula for the area of a triangle is $S= \frac{a*b}{2}$ . So, we need to multiply base length by the height length, and divide by two.

$S= \frac{4*8}{2}$
$S= \frac{32}{2}$
$S=16$

Now, we know the area of one triangle. We have three other identical triangles, and in order for us to save time, let's just multiply this number by four.
$16*4=64$

Triangles are 64 inches squared in total.
64 inches squared + 14 inches squared (square area) equals to 78 inches squared.
Answer: $78^{2}$ is the area of the figure

8 0

3 years ago

onsider a random number generator designed for equally likely outcomes. If numbers between 0 and 99 are chosen, determine which

kotegsom [21]

Answer:

The following option is not correct:

(a) If 100 numbers are generated comma each integer between 0 and 99 must occur exactly once.

Step-by-step explanation:

This is not correct, as there is a possibility of an integer being generated twice when 100 numbers are generated.

This can be explained with an example such as stated below:

3 numbers are to be generated.

The number generated can either be 1, 2, or 3.

The probability for all three numbers to be generated once when the generator is run 3 times is:

(1/3)*(1/3)*(1/3) * Number of ways to arrange the three numbers

Thus this probability will be:

Probability = (1/3)^3 * 3!

Probability = 0.222

Since the probability here is not equal to 1, the probability for the same thing happening at a larger scale will also not be 1.

3 0

3 years ago

A survey of 100 people asked if they have a dog or a cat. The answers were: 56 people answered yes for dog and 51 people answere

den301095 [7]

Answer: The maximum number of people who could answer yes for both cat and dog is 7.

Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.

Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.

We are to find the maximum number of people that could answer yes for both cat and dog.

Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.

Then, according to the given information, we have

$n(A)=56,~~n(B)=51.$

From Set Theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\\Rightarrow n(A\cup B)=56+51-n(A\cap B)\\\\\Rightarrow n(A\cup B)=107-n(A\cap B)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$