90 p


Step 1: Calculating with rational numbers in real-world contexts


In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (2 points)










If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?




Each leg of the race from part a is the same distance. Calculate the team’s average time for each leg of the race. Show your work. (2 points)










If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?



Step 2: Using properties of operations to add and subtract with fractions


a) Jill jumped "6" "1" /"3" feet in the long-jump event. Jill’s best friend jumped "6" "5" /"7" feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem. (2 points)












If Jill’s best friend jumped farther than 6.5 feet, then she beat the school record and the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?




b) Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42"5" /"8" feet and Grace threw it 39"3" /"5" feet. How far did the team throw the javelin? Show your work. (2 points)









If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earns 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?


For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation. (2 points)







If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?



Step 3: Using properties of operations to solve real-world problems with rational numbers


a) The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work. (2 points)


15 m 10.5 m

Start Finish






Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final



[ls answer if u know it

Answer:

Step-by-step explanation:

Answer:

1 - The sum of best times for the legs is 56.81 +59.22 +57.39 +60.11 = 233.53 seconds (3.89 minutes). Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.

2 - Since the team’s best time for the race is less than 4 minutes, the eighth graders earn 40 points.

3- 58.3825 (About 58) Average is found by adding all the data up and dividing by the amount of info there is. In this Case: 233.53 divided by 4 = 58.3825 which is around 58.

4- The seventh graders because the eighth graders got 58 which is more than 50 so the 7th grader would get the points

5- Kate’s best friend jumped 8/21 feet more than Kate did. First to find the difference between two fractions they need a common denominator, 21 works for this. Then the actual fractions need to match the denominator. 7/21 and 15/21 are our new fractions. Then when subtraction you subtract the numerators, the answer to that is 8/21 after simplifying (in this case you cant) you subtract the whole numbers, 6 – 6 = 0 the add the whole and fraction together. Kate’s best friend jumped 8/21 more feet than Kate did.

6- The seventh graders.

7- 42 5/8 + 39 3/5 Find common denominator for the fractions and rewrite them using the common denominator: 5/8 = 25/40 3/5 = 24/40 25/40 + 24/40 = 49/40 = 1 9/40 1 9/40 + 42 + 39 = 82 9/40 feet.

8- 9/40 = 0.225, plus 82 feet = 82.225 feet,  this is less than 82.5, so the 8th graders earned the 50 points.

9- The equation would be the total of completed jumps divided by the total number of attempts: (2 +4 + 1) / (3 + 6 +4) = 7/13 = 0.538 average.

10- 0.538 is greater than 1/2 ( 0.50), so the 8th graders earned 50 points.

11- The race is 111.6 m long. 8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Step-by-step explanation:

Would love brainliest

Which one is proportional ???????????

I need help again lol

Answer as much as you can will give brainliest if correct

PLS HELP DUE SOON!!!!!

A cardboard box has a volume that is 6,336 cubic inches. A company creates a new design with the same proportions, but instead the dimensions are One-fourth the dimensions. Explain how you can find the volume of the new design without knowing the dimensions.

wich inequality is true?

Find the missing leg of a triangle with legs of 7 and a hypotenuse of 10
Help please

Write 0.83838383 as a simplified fraction

Fill in the blanks for each statement.


how much shaved ice was used to make the lemon ice cone, assuming the cone is completely full?





(A) The amount of shaved ice inside the cone is
______ π cubic inches.

(B) The amount of shaved ice on top of the cone is
______ π cubic inches.

(C) The total amount of shaved ice used to make the cone is
______ π cubic inches.

HELP PLLZZZZZZZZZZZZZZ MARKING BRAINLIEST IF YOU DONT KNOW DONT ANSWER


Using complete sentences post a detailed response to the following.

Although technology was not specifically mentioned in the unit, there is no denying it has become such a huge part of our lives – including our fitness. What are some ways that increased technology use has negatively impacted personal fitness? What are some ways that it has helped personal fitness? Explain.

Explain your answer


- 2-4 sentences
- include a negative example and explain
- include a positive example and explain
- answer using complete sentences

The surface area of a cube is represented by the expression below, where s is the side length of the cube.

6s^2

Find the surface area of a cube-shaped jewelry gift box with a side length of 8 centimeters.
A.
192 square centimeters
B.
384 square centimeters
C.
576 square centimeters
D.
1,024 square centimeters

For another question, Nancy needs her to mark the numbers 1 1/3 and -1 1/3 on the number line. How many spaces does she need between 1 and 2, and between -1 and -2, so that she can mark 1 1/3 and -1 1/3 ?
PLS! HELP!!

PLZ HELP ME WILL GIVE BRAINILEST TO THE FIRST PERSON WHO ANSWERS;)
Which expression is shown by the model?
Answers:
A. 28 + 14 = 7 (4 + 14)
B. 28 + 14 = 4 (7 + 2)
C. 28 + 14 = 4 (14 + 28)
D. 28 + 14 = 7 (4 + 2)

You can solve the following proportion by cross multiplying. What will the equation be after you cross multiply?

3/9 = x/15

At the ice cream shop, there are 12 shakes sold for every 4 malts.
What is the ratio of malts to shakes?

Malik collects rare stamps and has a total of 96 stamps. He has 24 more domestic stamps than foreign stamps. Let d represent the number of domestic stamps and let f represent the number of foreign stamps.

This system of equations models the given information for both stamp types.

d – f = 24

d + f = 96

Solve the system of equations.

How many foreign stamps does Malik have?

number of foreign stamps
How many domestic stamps does Malik have?

number of domestic stamps

Which statement is true about the result of a rigid transformation?

A) The pre-image will be congruent to the image.
B) The image will be larger than the pre-image.
C) The pre-image will be larger than the image.
D) Each one is unique; no general statement can be made about size.

Tessa bought stock in a restaurant for $188.00. Her stock is now worth $240.64. What is the percentage increase of the value of Tessa's stock?

A) 28%
B) 22%
C) 21.36%
D) 78%

Bree takes 4.75 minutes to bike around the block how long does it take Bree to bike 11 times around the block?

Which statement is true when 2.4 is placed in the blank?

7.2 ÷ ___ = 3
9.6 ÷ 0.4 = ___
14.4 ÷ ___ = 0.6
19.2 ÷ 0.8 = ___

What is the product of 7x0.39

Help Help Help Help Brainly please... If you were to plan a mission to Mars, what are the key phases that you need to include in your mission?

Anybody need help with some work?
Don't feel like scrolling thru the thing so just put them here lol
Doesn't matter what subject.

answer 4 and 5 plzzzzzzzz

PLEASE DON'T WASTE MY POINTS!! It's middle school math so it should be easy. If my points aren't wasted then I'll give away 200 points FREE! Also, it shows on my profile I do have 250 points.

Please help ASAP with these problems!
Prove that: (12^13-12^12+12^11)(11^9-11^8+11^7) is divisible by 3, 7, 19, and 37. _ times 3 times 7 times 19 times 37
Factor completely: (4x^a+2)+20x^a
Factor completely: (15x^2c+3)-(25x^c+1)

PLZ HELP!!! :D

The graph of function is shown:

Which of the following correctly identifies the set of outputs?

A.{-3, -1, -3, 4}

B.{-5, -2, -1, 4}

C.{(-5, -4), (-2, -1), (-1, -3), (-4, -3)}

D.{(4, -5), (-1, -2), (3, -1), (4, -3)}​

The table shows the relationship between the number of drops of food color added to different number of cups of cake frosting:


Cups of | Drops of
Frosting | Food Coloring
2 | 4
3 | 6
4 | 8


Which point below shows an equivalent ratio in this situation?

A. Point T, because if drops of food coloring are 50, then cups of frosting will be 100

B. Point G, because if cups of frosting are 40, then drops of food coloring will be 20

C. Point T, because if cups of frosting are 50, then drops of food coloring will be 100

D. Point G, because if drops of food coloring are 40, then cups of frosting will be 20

I'm guessing it's possibly C...? Please help me, and thank you!

PLZ HELP I SUCK AT MATH

PLEASE CAN SOMEONE ANSWER THIS

y=8.2x+459=