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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
Complete the ratio table
x : 20
y : 15
12 : 60
z : 100
x = 4
y = 3
z = 20
Solve. Answer as a mixed number or proper fraction!
One fourth squared, increased by 8
(1/4)2 + 8
(1/4 * 1/4) + 8
1/16+ 8
8 1/16
Grant and Tyler are shooting free throws. Grant makes every fourth shot and Tyler makes every third shot. When will they both make the shot?
On the 12th shot, they will both make it!
What is the reciprocal of 8?
1/8
Fill in the ratio table:
4 : x
8 : 3
16 : y
z : 36
4 : 1.5 --> because 8/2 = 4 so... 3/2
8:3
16: 6 --> because 8*2 = 16 so... 3*2
96:36 --> because 3*12 = 36 so... 8*12
Are these proportional? Use cross multiplication to justify your answer!
9/8 = 27/16
NO!
The cross products are not equal!
Lillian made $105 for 3 days of pet sitting. What is her unit rate?
$35 per day
Rate, Unit Rate, or Ratio? (Could be more than 1!!)
Explain why!
8 miles per 1.1 hours
All three!!
For every 8 necklaces Mia has she has 3 bracelets. If Mia has 24 necklaces, how many bracelets will she have?
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!
Solve. Answer as a fraction.
(8.2 - 8)2 + 7(1 + 3)
(8.2 - 8)2 + 7(1 + 3)
(0.2)2 + 7(4)
0.04 + 28
28.04 or 28 4/100 -> 28 1/25
What is Robert'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
Solve, you must include ALL solving steps!
Answer as a fraction
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
Cora is designing a building. The prototype is 8in tall and 5in wide. How tall will the actual building be if its width is 250ft?
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. Gabby 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 Gabby? 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!
Gabby: 10/3 and 3/33
$3.33 per 1 bar of soap
Set up a proportion and solve using cross multiplication.
At a hut, you can trade 3 rocks for 8 sticks. If Bodhi comes to the hut with 21 rocks, how many sticks will he get?
3:8 = 21: x
3x = 168
3x/3 = 168/3
x = 56
Bodhi will get 56 sticks
Harper 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 Harper arrives at the train station at 10:21am, how long will she have to wait for the next train?
Harper will have to wait 3mins for train A to arrive.
Train A
8:00am, 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
Rowan has purple and white flowers on her dress. For every 8 flowers 5 are purple. How many white flowers are on her dress if there are 104 total flowers?
39 white flowers
Given Ratio --> 3 white to 5 purple
3 : 5 = 8 because 3 + 5 = 8
x : y = 104 (How did I go from 8 to 104?)
3 * 13 : 5 * 13 = 8 * 13
39 : 65 = 104
If there are 16 ounces in 1 pound and a dog weighs 1174.4oz. How many pounds does the dog weigh?
Set up a proportion and show all solving steps!
The dog weighs 73.4 pounds
16/1 = 1174.4/x
A train travels at a speed of 87mph for four hours and forty minutes.
How many miles did the train travel?
87 miles / 1 hour = x miles / 4 hours 40 mins
87 mi / 60 mins = x mi / 280 mins
60x = 24360
60x/60 = 24360/60
x = 406 miles
A biker biked at a speed of 12 miles per hour. How many hours did the biker bike if the biker traveled 42 miles?
Set up a proportion and solve!
12/60 = 42/x
x = 210 minutes --> 3 hours 30 mins
Set up a proportion and solve.
**1 yard = 3 feet**
**12 inches = 1 foot**
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
On a map, 3 inches represents 35 miles. The distance between point A and point B in real life is 250 miles. On the map, what is the distance between the two locations? Round your answer to the nearest tenth
3/35 = x/250
35x = 750
35x/35 = 750/35
x = 21.42 inches -> 21.4 inches
A cookie recipe calls for 6 pounds of sugar. You decide to only make a fourth of the recipe. How many ounces of sugar will you be using?
**1 pound = 16 oz**
6/4 = 1.5 lbs <-- a fourth of the sugar
1.5 lbs / x oz = 1 / 16
x = 24 oz
How many minutes are in two weeks?
Set up a proportion and solve.
2 weeks = 14 days
14 days / x hours = 1 day / 24 hours
336 hours / x mins = 1 hour / 60 mins
20,160 minutes are in 2 weeks