MATHEMATICS HIGH SCHOOL

If AB = 4x +10, BC = 2x +3 and AC= 9x - 15 find AC. and show work plzz !!!!

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

AB + BC = AC

4x + 10 + 2x + 3 = 9x - 15

6x + 13 = 9x - 15

6x + 13 + 15 = 9x

6x + 28 = 9x

3x = 28

x = 9 1/3 = 28/3

AC = 9 * 28/3 - 15

AC = 3 * 28 - 15

AC = 84 - 15

AC = 69

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E volume of the object, when you reduce the length of your ruler by a factor of 8, the number of volume elements increases by a factor of 512 what's the dimension

Answers

Answer:

$D=3$ .88

Step-by-step explanation:

We can use this equation:

$N=R^(D)$

Where:

N is the increase factor (N=512)
R is the reduce factor (R=8)
D is the dimension

$512=5^(D)$

We just need to solve it for D

$D=log(512)/log(5)$

$D=3$ .88

Therefore the dimension will be 3

I hope it helps you!

Answer:

The dimension is 4

Step-by-step explanation:

Using the equation

N = R^d

Where,

N is the increase factor = 512

R is the reduce factor = 8

d is the dimension

512 = 5^d

Solving by logarithm

1log 512 = d log 5

D = log 512 ÷ log 5

= 3.87

Approximately 4

At a high school, the probability that a student takes a science class and a history class is 0.44. The probability that a student takes a science class is 0.68, and the probability that the student takes a history class is 0.56. What is the probability (rounded to the nearest hundredth) that a student takes a history class given that the student is taking a science class?0.44
0.65
0.30
0.79

Answers

P(history given science) = P(history intersect science) / P(science) = 0.44/0.68 = 0.65

What percent is equivalent to the fraction 37/50?

Answers

Since percent is mostly common as a fraction with a denominator of 100, we'll convert the fraction 37/50 to x/100. To convert 50 to 100, you multiply 50 by 2, so you are also going to multiply 37 by 2, which is 74. Now we have the fraction 74/100, so now since the fraction is over 100, we can convert it to a percentage.

So 74% is equal to the fraction 37/50.

The given fraction is equivalent to a percentage of 74%.

One of the parts of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator is divided by the denominator.

When a fraction of a whole is represented as a number between 0 and 100, it is called a percentage.

To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

The given fraction is 37/50. In order to calculate the percentage of this fraction, first we need to find the value of this fraction and then multiply the resulting value with 100.

So,

37/50 = 0.74

Multiplying the value with 100,

Percentage of 0.74 = 0.74 x 100 = 74%

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The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost. (A) Find the cost of admission to the fair. Explain how you found the cost of admission.
(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(C) Explain what the coefficient on x and the constant of your linear equation represent.

Answers

Answer:

(A) $18

(B) $y=2.50x+18$

(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.

Step-by-step explanation:

(A)

The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.

So, the total cost of the 15 tickets will be: $(\$2.50*15)= \$37.50$

He spent total $55.50 on ride tickets and fair admission.

So, the cost of admission to the fair will be: $(\$55.50-\$37.50)= \$18$

(B)

If $x$ represents the number of ride tickets and $y$ represents the total cost, then the cost for $x$ number of ride tickets is $\$2.50x$

So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: $y= 2.50x+18$

(C)

In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.

And the constant term is 18, which represents the cost of admission to the fair.

Final answer:

To find the cost of admission to the fair, subtract the cost of the ride tickets from the total spent. The linear equation 2.50x + y = 55.50 can be used to calculate the cost for anyone. The coefficient on x represents the cost per ride ticket, while the constant represents the total amount spent on ride tickets and admission.

Explanation:

(A) To find the cost of admission to the fair, we need to subtract the cost of the ride tickets from the total spent. Since Henry bought 15 tickets and spent a total of $55.50, we can use the equation 2.50x + y = 55.50, where x represents the number of ride tickets. Substituting x = 15, we can solve for y to find the cost of admission.

(B) The linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission is 2.50x + y = 55.50, where x represents the number of ride tickets and y represents the cost of admission.

(C) In the linear equation, the coefficient on x (2.50) represents the cost per ride ticket. The constant (55.50) represents the total amount spent on ride tickets and admission.

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Joe paid $14.00 for a board game this is 70% of the original price what was the original price

Answers

Answer:

The original price was $20.00

Step-by-step explanation:

Joe paid $14.00 for a board game.

This is the 70% of the original price.

Let the original price of a board game be x

70% of x = $14.00

0.70x = 14.00

x = $(14)/(0.7)$ = $20.00

The original price was $20.00

start off by finding 10% of $14. in order to find 10%, divide it by 70 which gives 2. you now need to make the 30% to add to the 70%, by timesing the 2 by 3to give 6. now all you need to do it add the 6 to 14 to make 20!

so your answer is $20

A bag of jelly beans contains 24 jellybeans of different colors. There are 6 blue, 5 yellow, 10 green, and 3 black jellybeans. What is the probability of drawing a green jellybean, eating it, and then drawing another green jellybean?2. A bag of jelly beans contains 24 jellybeans of different colors. There are 6 blue, 5 yellow, 10 green, and 3 black jellybeans. What is the probability of drawing a green jellybean, eating it, and then drawing another green jellybean? (please show all work.)