Ratios & Rates
Define "ratio".
A comparison of two quantities.
Solve for x. k/6 = 15/18
k = 5
What is 90% of 30?
27
What are supplementary angles?
Two angles whose sum is equal to 180 degrees.
What is the diameter of a circle?
The distance across the circle through the center.
True or False: 3/5 and 12/20 are equivalent ratios.
True
A rectangular garden is 45 ft wide and 70 ft long. In a drawing, the width is 9 in. Identify the length of the garden in the drawing.
14 ft
43 is what percent of 113? Round to the nearest percent.
38%
True or False: vertical angles will never be congruent.
False
If the radius of a circle is 16 cm, what is the circumference?
100.48 cm
Find the unit rate of 20 pounds for $4.
$0.20 per pound
What are the characteristics of a proportional graph, equation, and table?
Graph: goes through the origin and is straight.
Equation: y=kx and there is nothing added or subtracted.
Table: the unit rate or cop is constant.
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent change, and be sure to indicate increase or decrease.
11% Increase
If two angles, <d and <f, are complementary, and <d = 36, what is the measurement of <f?
54 degrees
If the area of a circle is 34 in^2, what is the diameter?
6.58 in
What is the better deal?
50 stamps for $14.99 or 70 stamps for $16.99
70 stamps for $16.99
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
2.5 cups of milk
Danny earned $100 in interest on $800 that he deposited in the bank for 5 years. What was the interest rate?
2.5%
Will the three angles below create a triangle?
42, 39, and 99
Yes, because 42 + 39 + 99 = 180. (Triangle Sum Theorem)
What is the area of a circle is its circumference is 34.54 yd?
94.99yd^2
Pep Club members are making spirit buttons. They make 490 spirit buttons in 3 1/2 hours. Find the number of buttons the Pep Club makes per hour.
140 buttons per hour
If 3 pounds of apples cost $0.90, then how much money will 10 pounds of apples cost?
$3.00
Violet is buying a $24 scarf. If sales tax is 7.25% and she hands the cashier $30, how much change will she get?
$4.26
A quadrilateral has four angles 3x + 3, 32, 2x, and 80. Find the value of x.
x = 49
What is the significance of pi? Why does it equal approximately 3.14, and why do we use it in formulas for circumference and area of circles?
-3.14 is approximately the number of times the diameter will "fit" around the circumference of the circle.
-We use pi in formulas for circumference and area, because pi is proportional to the diameter of a circle.