MATHEMATICS MIDDLE SCHOOL

How do I do this problem?

Answers

Answer 1

Answer:

Answer:

Kate finished the race in 52 seconds

Alexia finished the race in 58 seconds

Trina finished the race in 49 seconds

Step-by-step explanation:

From this work problem we can set up these series of equations:

$k+a+t=159\na=k+6\nt=k-3$

First we need to create only one variable in the first equation in order to solve it, so we can substitute in the other equations into the first one. That would look like this

$k+(k+6)+(k-3)=159$

Then we can simplify this

$3k +3=159\n3k=156\nk=52$

Now that we solve for Kate's time, we can use the other 2 equations to find the times of Alexia and Trina

Using the equation for Alexia's time and plugging in Kate's time gives us

$a=52+6\na=58$

Using the equation for Trina's time and plugging in Kate's time give us

$t=52-3\nt=49$

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Suppose you earn $6 per hour at your part-time job.What will your new hourly rate be after a 2.5% raise? Explain.

Answers

The new hourly rate after a 2.5% raise will be $6.15.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Suppose you earn $6 per hour at your part-time job. The new hourly rate is after a 2.5% raise.

Let x be the new hourly rate. Then the equation is given as,

x = $6 x (1 + 2.5%)

x = $6 x (1 + 0.025)

x = $6 x 1.025

x = $6.15

The new hourly rate after a 2.5% raise will be $6.15.

More about the percentage link is given below.

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First change 2.5% to a decimal by dividing by 100. 2.5÷100=0.025. Then multiply 6 by 0.025. 6×0.025=0.15. Finally add 0.15 to 6 for the answer. 6+0.15=6.15.
So the answer is $6.15.

3. The length of one side sofa square city block is 462 meters What is the perimeter of the block

Answers

1,848 meters. To find perimeter you add all the sides, and since the shape of the city block is a square, all sides are equal, so just add 462 four times.

What is the fraction of 80/360 degrees?

Answers

$(80)/(360)=\n\nCancel\ out\ the\ zeros.\n\n(8)/(36)={\boxed{(2)/(9)}$

jacobs family bought 4 adult tickets and 2 student tickets to the school play for $64. tatiannas family bought 3 adult tickets and 3 student tickets for $60. how much did each ticket cost?

Answers

Answer:10

Step-by-step explanation:

Final answer:

The cost of each adult ticket is $28, but there is no solution for the cost of each student ticket in this case.

Explanation:

To solve this problem, we can set up a system of equations using the given information. Let's represent the cost of an adult ticket as 'a' and the cost of a student ticket as 's'. From the first equation, we know that 4a + 2s = 64. From the second equation, we know that 3a + 3s = 60. Now we can solve this system of equations.

Multiplying both sides of the second equation by 2 gives us 6a + 6s = 120. We can subtract the first equation from this equation to eliminate 's'.

6a + 6s - (4a + 2s) = 120 - 64

Expanding and simplifying the equation gives us 2a = 56. Dividing both sides by 2, we find that a = 28. Now we can substitute this value into either of the original equations to find 's'.

Using the first equation: 4(28) + 2s = 64

Simplifying the equation gives us 112 + 2s = 64

Subtracting 112 from both sides gives us 2s = -48. Dividing both sides by 2, we find that s = -24.

However, since we're talking about the cost of tickets, we can't have a negative value. Therefore, there is no solution for 's' in this case.

The cost of each adult ticket is $28, but there is no solution for the cost of each student ticket in this case.

Learn more about Cost of Tickets here:

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For f(x)= 4x+1 and g(x) = x^2 -5, find (f g)(x).O A. 4x2 -19
O B. 4x3 + x2 - 4x -6
O C. 4x3 + x2 - 20x-5
O D. 4x3 + x2 - 5x -5

Answers

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

Step-by-step explanation:

3+z=-19 true, false, or open

Answers

subtract 3 from both sides to get 3+z=-19 3+z-3=-19-3 z = -22 So it's only true when z = -22. This means that it's neither 100% true nor 100% false. So it's an open statement or sentence

First thing you would do is subtract 3 from both sides to get 3+z=-19 3+z-3=-19-3 z = -22 So it's only true when z = -22. This means that it's neither 100% true nor 100% false. So it's an open statement or sentence

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Nine less than four times a number equals fifteen

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