The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 of the seventh graders participated in track-and-field day and 7/8 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.

Answer:

584 is the total number of students in the school.

5/8 are in seventh grade and 3/8 are in eighth grade.

4/5 of the seventh graders participated in the track meet, so there were (4/5 · 5/8) · 584 students in the seventh grade participating in the track meet.

7/8 of the eighth graders participated, so there were (7/8 · 3/8) · 584 students in the eighth grade participating in the track meet.

So, all together, there were

(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 students from the school in the track meet.

Let's simplify as you asked:

(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 = [(4/5 · 5/8) + (7/8 · 3/8)] · 584 (distributive property - factoring)

= [20/40 + 21/64] · 584 (multiply fractions)

= (1/2 + 21/64) 584 (reduce the first fraction to lowest terms)

= (32/64 + 21/64) 584 (getting a common denominator)

= (53/64) 584 (combine/add the two fractions)

= 483.625 (multiply together)

All together, there were: 483.625 students in the meet.

Step-by-step explanation:

(other guys work not mine!!!!!!!!! )

Mrs. Jones has a kitten and a puppy. The kitten weighs 3 pounds 9 ounces, and the puppy weighs 4 pounds 8 ounces.

How many ounces do the kitten and the puppy weigh together?

A.
157 ounces
B.
129 ounces
C.
87 ounces
D.
101 ounces

Can you please do all 4 and give me the 4 letter code.

Image below please answer for brainleiest

Kaylen wants to download 9 songs on iTunes. Each song costs $1.29. How much money does she need?

SOLVE THIS ASAP DONT ANSWER JUST FOR POINTS(SHOW YOUR WORK AND ANSWER IN A DIFFERENT PAPER) I am aware you can’t draw in brainly

can someone help?? meeeee not thelp just whats the answer?

Please Show Work.


The Touring Bridge crosses the Arkansas River at a 36-degree angle to the river on one side. The river banks are parallel to each other. What is the angle the bridge makes with the river on the other side?

true or false 0.625 = 62.5% = 5/8

Helene was given the following enlargement of a triangle. A triangle has side lengths 2 centimeters, 7 centimeters, and 5 centimeters. The corresponding sides are A, B, and 30 centimeters. What are the lengths of sides A and B? A = 30 cm, B = 39 cm A = 30 cm, B = 48 cm A = 20 cm, B = 26 cm A = 20 cm, B = 33 cm

Fernando has been saving money to buy an e–book reader. A store has just marked down the price of its readers by 40%. Each reader comes with a mail-in rebate for $25.
If the reader used to cost $150, what will Fernando's final price be after the markdown and rebate?
Complete each step to solve the problem.
1. How much money will Fernando save because of the 40% markdown? Show your work.

Relation or Function?

The table shows the results of a Fun Run. James’s time for running 2 mi. was 2.4 min. slower than Mike’s time. If t represents how long it took for James to run 2 mi., what is t? A. 5 min. B. 7.2 min. C. 10.7 min. D. 12.0 min.

Graph 3x-4=12 using intercepts

In ΔABC, point M is the midpoint of side AB and point D is the midpoint of segment MC. Prove that the area of ΔADC= the area of ΔBMD

The sum of two numbers is 35. The difference of these two numbers is 17. Find the two numbers.

Sorry for another one! WILL GIVE BRAINLIEST!! DUE TODAY! Help please

Solve this linear equation using substitution. (Please show work!)

X + Y = 7

7x + y = 1

Whit usually drives 5/8 mile to work on the expressway. When the traffic is bad he takes another route that is 7/8 mile long. How much shorter is his usual route?

Over 5 days, Skylar sheared 300 sheep. How many would she be able to shear in 26 days?

Helllllllllllllllllllllllppppppppppp

guys pls help me.........

Cormac is making 31 phone calls each week as part of a fundraiser. Last week, he made 8 phone calls on weekdays. Which equation could be used to find x, the number of phone calls he made last week on weekend days? HELPP

Plz help with this question

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

A. 2.5v + 5 < 5v

B. 2.5v + 5 = 5v

C. 7.5v < 5v

D. 7.5v = 5v

A parking lot is filled with cars and motorcycles. In all, there are 50 vehicles parked there. There is a total of 150 wheels on these vehicles. All cars have four wheels, and all motorcycles have two wheels. How many cars and how many motorcycles are in the parking lot?
Pls Help, 1st Brainliest

ILL GIVE BRAINLIEST.

This is a simple graph, but I want to know if I’m right. If the line goes through the origin does that automatically mean it’s positive?
And when it doesn’t go through the origin does that mean it’s automatically negative?
THANK YOU.!

35, 28, 21, 14... write an explicit formula for the nth term a n

What is 1.67 rounded to the nearest whole number?

Help me out please, And answer both, Thank you so much, and enjoy your day!

The probability of choosing the letter G and flipping tails is...