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A spinner has 5 equal sections. 2 sections are labeled with composite numbers. What is the ratio of the number of sections with prime numbers to the total number of sections?
3:5 or 3/5 or 3 to 5
The ratio of puppies to all animals at the SPCA is a non-fractional relationship. TRUE or FALSE?
FALSE! It is a fractional relationship because puppies are part of the total of animals at the SPCA
9 bracelets because...
8:3 --> 24:x
When 8 is multiplied by 3 that is 24. So we need to multiply 3 by 3 too!
Brayden and Lee are shooting hoops. Lee makes every fourth shot and Brayden makes every third shot. When will they both make the shot?
Brayden: 3, 6, 9, 12, ...
Lee: 4, 8, 12, ...
On the 12th shot, they will both make it!
What is the reciprocal of 8?
1/8
Fill in the ratio table:
8 : 3
10: x
16: y
z: 36
8:3
10: 3.33 --> because 8*10 =80 and 3*10 =30. To get back to 10, we can divide both sides by 8!
80/8 = 10 and 30/8 = 3 6/8 which can be converted to a decimal!
16: 6 --> because 8*2 = 16 so... 3*2
96:36 --> because 3*12 = 36 so... 8*12
Are these proportional?
9/8 = 27/16
NO!
The cross products are not equal!
Explain the difference between a fractional and non-fractional relationship. Provide an example of each!
Answers will vary. Ms. Harding-Scudder will determine if points are awarded or not!
EX: A bag of jelly beans contains 5 blue, 8 red, and 12 green.
Fractional: The relationship shows a part to a whole, like blue jelly beans to total jelly beans
Non-Fractional: The relationship shows a part to a part, like red jelly beans to green jelly beans
What is Jack's unit rate if he can swim 200m in 81 seconds? Round your answer to the nearest hundredth!
200/81 --> meters/seconds
2.47m/s
One fourth squared, increased by 8
(1/4)2 + 8
(1/4 * 1/4) + 8
1/8 + 8
8 1/8
Solve.
(8.2 - 8)2 + 7(1 + 3)
(0.2)2 + 7(4)
0.04 + 28
28.04 or 28 4/100 -> 28 1/25
**DOUBLE POINTS**
Bowen makes $105 in 2 hours. What is the algebraic equation that shows the relationship between h hours and t total money
t = 52.50h
t is the DV
h is the IV
52.50 is the Unit Rate because 105/2 = 52.50
Solve, you must include ALL solving steps!
9/x = 20/7
1. Cross Multiply!
20x = 63
2. Divide by the number next to the variable
20x/20 = 63/20
3. Simplify!
3 3/20 or 3.15
A bag contains 3 yellow marbles, 4 blue marbles, and 3 red marbles. What is ratio of yellow to red marbles?
What does the ratio mean?
3:3 ... BUT you need to simplify! 1:1
It means that for every red marble there will be a yellow marble!
There are 8 soccer balls to 3 baseballs. Graph the ratio for 16, 24, or 32 soccer balls.
x-axis -> soccer balls
y-axis -> baseballs
Don't forget a title and proper scaling!
Set up a proportion and solve!
At a hut, you can trade 3 rocks for 8 sticks. If Whit comes to the hut with 21 rocks, how many sticks will he get?
3:8 = 21: x
3x = 105
3x/3 = 105/3
x = 35
Whit will get 35 sticks
Jordan is going on vacation. She needs to catch a train that is going to New York. Train A departs at 8am and every 12mins after that and Train B departs at 8am and every 25mins after that. If Jordan arrives at the train station at 10:21am, which train will should she take? How long will she have to wait?
Jordan should take Train A! She will have to wait 3mins
Train A8:00am, 8:12am, 8:24am, 8:36am, 8:48am, 9:00am, 9:12am, 9:24am, 9:36am, 9:48am, 10:00am, 10:12am, 10:24am
Train B
8:00am, 8:25am, 8:50am, 9:15am, 9:40am, 10:05am, 10:30am
Dogs : Cats
If we were to graph the relationship of dogs to cats, what would the y-values represent?
The number of cats because...
x : y --> dogs : cats
Solve using proportions, show ALL solving steps!
400 feet tall!
8/5 = x/250
Cross Multiply
5x = 2000
Divide
5x/5 = 2000/5
x = 400
Maggie is selling handmade soap, she sells 6 bars of soap for $15. Libby is also selling handmade soap but she sells hers for $10 for 3 bars of soap.
Using unit rate, what is the cost per 1 bar of soap from Maggie and Libby? Who has the better deal?
Maggie: $15 for 6 bars, to find the unit rate we want to divide by 6 so we get the price per 1 bar. In order to do that we need to divide each number by 6!
15/6 and 6/6
$2.50 per 1 bar of soap <-- Better deal!
Libby: 10/3 and 3/33
$3.33 per 1 bar of soap
Complete the ratio table
x : 20
y : 15
12 : 60
z : 100
x =
y =
z =
How many inches are in 3.5 yards?
3.5 yards -> feet
3.5 yards = X
1 yard = 3 ft
X= 10.5 ft
10.5 ft -> inches
10.5 ft = X inches
1 ft = 12 inches
X = 126 inches
(Level 4 ish Type Question!)
At a pizza shop a small pizza is $8.95 and a medium pizza is $11.99. All toppings are an additional $2 per topping. Write an algebraic equation that would express the total cost (t) of a small pizza being bought with x number of toppings.
If there are 16 ounces in 1 pound and Emerson's dog weighs 73.4 pounds, how many ounces does her dog weigh?
Set up a proportion and show all solving steps!
FACT: 1lb = 16oz
Problem: 73.4lbs = x
1/16 = 73.4/x
x = 1174.4
SO her dog weighs 1174.4oz
How many ounces are in 4 kilograms? Round to the nearest hundredth!
1lb = 0.45kg
16oz = 1lb
1lb = 0.45kg
1/0.45 = x (pounds)/4
0.45x = 4
0.45x/0.45 = 4/0.45
x = 8.89 pounds
SO 8.89 pounds is equivalent to 4kg, now lets convert pounds to ounces!
1/16 = 8.89/x
x = 142.24
SO 4kg is equivalent to 142.45 ounces