MATHEMATICS HIGH SCHOOL

What is the answer to 2(5x+4)=8

Answers

Answer 1

Answer:

Answer:

So first we have 10x = 0. We divide by 10 on both sides, so then we get x = 0. We still have 0 because 0/10 = 0.

So that means that the answer is

Write 10 in the first box 10 in the second

x=0

Answer 2

Answer:

? = 10

Step-by-step explanation:

2(5x+4)=8 - DISTRIBUTE

= 10x + 8 = 8

10x + 8 = 8

- 8

10x = 0

10x/10 = 0/10

x = 0

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The functions f(x) and g(x) are shown below:f(x) = 0.05x
g(x) = (0.05)x
Which statement best describes the graph of f(x) and g(x)?

Answers

f(x) and g(x) are two functions each representing data points. We can see from the given function both of the functions are equal because both have a value of 0.05x. If you evaluate the equation with a given x value, we will observe that the answer for both functions is the same.

This is the best answer that I can give you. The graphs will both have their y-intercept equal to 0.05

Movie tickets cost $6 for a child and $10 for an adult. A showing of a movie brought in $600 in ticket sales.

Answers

Answer:

Step-by-step explanation:

To find the number of child and adult tickets sold, we can use algebraic equations. Let's assume the number of child tickets sold is 'c' and the number of adult tickets sold is 'a'.

Given information:

Cost of child ticket: $6

Cost of adult ticket: $10

Total ticket sales: $600

1. Set up the equation for the total ticket sales:

6c + 10a = 600

2. We need to find a combination of 'c' and 'a' that satisfies this equation.

- Option 1: Let's assume all tickets sold were child tickets.

In this case, the equation becomes:

6c + 10(0) = 600

Simplifying, we get:

6c = 600

Solving for 'c':

c = 100

So, if all tickets were child tickets, 100 child tickets were sold.

- Option 2: Let's assume all tickets sold were adult tickets.

In this case, the equation becomes:

6(0) + 10a = 600

Simplifying, we get:

10a = 600

Solving for 'a':

a = 60

So, if all tickets were adult tickets, 60 adult tickets were sold.

- Option 3: Let's assume there were a combination of child and adult tickets sold.

We can try different values for 'c' and solve for 'a'.

For example, if we assume 'c' to be 50, the equation becomes:

6(50) + 10a = 600

Simplifying, we get:

300 + 10a = 600

Solving for 'a':

10a = 300

a = 30

So, if 50 child tickets and 30 adult tickets were sold, the equation is satisfied.

Therefore, there are multiple possible combinations of child and adult tickets sold that could result in $600 in ticket sales. The options are:

- 100 child tickets

- 60 adult tickets

- 50 child tickets and 30 adult tickets.

Explain how to do the factor tree for 75

Answers

separate 75 into two numbers. Lets use 15 and 5. 15 can be reduced into 3 and 5, while 5 cannot be reduced. The remaining numbers you have will be 5, 5, and 3.

75
/ \
15 5
/ \
3 5

Like this- . 75 . /. \. . 25. 3 . /. \. . 5. 5. So the factors are- 3x5x5. Hope I helped!

What is the factored form of 5x+x^2=0

Answers

$5x+x^2=0\n \nx(5+x)=0\n \nx=0 \ \vee \ 5+x=0 \n\n x=0 \ \vee \ x=-5$

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam?

Answers

Given :

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.

To Find :

The total number of questions on Stephanie's exam.

Solution :

Let, number of questions in Part 1 is x :

$16=(4)/(5)x\n\nx=20$

Let, number of questions in Part 2 is y :

$16=(2)/(3)y\n\ny=24$

Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.

Hence, this is the required solution.

Two minutes after a diver enters the water, he has descended 52 feet After 5 minutes, he has descended 130 feet At what rate is the scuba diver descending

Answers

Answer:

26ft/minute

Step-by-step explanation:

The question asks to calculate the rate at with a scuba diver is descending.

Firstly, we should know that the rate at which the scuba diver is descending is calculated as the total amount of distance descended, divided by the total amount of time taken.

The total amount of distance descended is 52ft + 130ft = 182ft

The total amount of time taken is 5 + 2= 7 minutes

The rate of descending is thus 182ft/7min = 26ft/minute

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