Ratios
27/14, 27:14, 27 to 14
A unit rate always has a denominator of ____ when expressed as a fraction.
One
Are the ratios proportional?
5/10 = 8/18
No; 90 does not equal 80
Similar figures have the same shape, but aren't the same _______.
size
Indirect measurements use ___________ to find an unknown length or distance.
Proportions
1st period math has 9 girls and 9 boys. Write the ratio of girls to boys in three different ways.
9/9, 9:9, 9 to 9
It is 172 miles from Three Forks to Billings. If you get there in 3 hours, how fast were you driving? Round your answer to the nearest whole number.
57 miles/hour
Are the ratios proportional?
27/60 = 40.5/90
Yes
Triangles are similar if all three __________ have the same measure. (NOT sides)
angles
If the shadow of the goal post measures 45 feet, and the shadow of a 6' football player measures 8 feet, how can you set up a proportion to find the height of the goal post?
x/45 = 6/8
2nd and 3rd period math combined has 16 girls and 18 boys. Write the ratio of boys to girls in three different ways, all in simplest form.
9/8, 9:8, 9 to 8
If you need 360 grams of oat flakes to make 6 breakfast muffins, how many grams of oat flakes are there in 1 muffin?
60 grams/muffin
12.3/m = 75/100
m=16.4
Triangle ABC is similar to triangle DEF. What is the value of BC if EF is 36 feet, AC is 7 feet, and DF is 28ft?
9 ft
A 6ft observer casts a 4-ft shadow at the same time a chimney casts a 238-foot shadow. How tall is the chimney?
357 feet
A ratio is defined as a comparison of two quantities using ________________.
Division
Babysitting Mr. E's baby after school pays $36 for 3 hours. Deep cleaning Mr. Vaughn's car pays $27 for 2 hours. Which after school job pays more per hour?
Mr. Vaughn pays $13.50/hour, Mr. E pays $12/hour.
8.7/2 = q/4
q=17.4
Quadrilateral RSTU is similar to quadrilateral LMNO. What is the value of LO if RU is 6 inches, LM is 45 inches, and RS is 9 inches?
30 inches
25 feet tall
Farmer Chuck has 3 goats, 6 hogs, 9 ducks, and 8 cows. Write the ratio of 4-legged to 2-legged animals in three different ways.
17/9, 17:9, 17 to 9
Last year, the Three Forks high school girls relay team ran the 4x100M relay in 54.16 seconds at State. At Divisionals, they ran the same race in 54.65 seconds. How many meters/second faster did they run at State compared to Divisionals? Round all answers to the nearest hundredth place.
7.39-7.32=.07 meters/second faster
r/84 = 32.5/182
r=15
A woman sews similar quilts for her daughter and her daughter's doll. If the daughter's quilt has a length of 2 yards and a width of 1 yard, and the doll's quilt has a length of 1/2 yard, what is the length of the doll's quilt?
1/4 yard
The world's tallest man lived from 1918 to 1940. He cast a 4-foot 5 1/2 inch shadow when a 6 foot pole cast a 3 foot shadow. How tall was he?
8ft 11 inches