Rational Numbers
A football Team has 45 members.
- 1/5 of them play the Defensive
- 1/9 of them play the Offensive
- The rest of them sit the bench
How many total members sit on the bench ?
31 players on the bench.
The cost of downloading five song from a website is $.99. Write an equation can be used to find t, the cost of downloading n songs?
t = 0.99n
1. Similar triangles have congruent corresponding angles.(T/F)
2. Similar triangles have congruent corresponding side.(T/F)
True
False
Δ DEF is similar to ΔPQR.
Which statement is true about these 2 triangles?
D is correct
True or False: Equivalent Fractions are always proportional.
True
Dr. Taylor received $120 on his last paycheck. He put ⅓ of his paycheck into his savings account and then he spent the rest on groceries.
How much money did Blake put into his savings account?
He put $40 in his savings.
Natasha has a job putting letters in envelopes to be mailed. In 1 hour, she put 42 letters in envelopes.
Which equation best represents y, the total number of letters Natasha puts in envelopes in x hours if she continues at this rate?
y = 42x
You can find missing sides of similar triangles by setting up a ___________ using their corresponding sides.
Proportion
Triangle DEF is similar to triangle LMN.
Which equation CANNOT be used to find the length of LM ?
Answer Choice A cannot be used to find the length of segment LM.
Steven can jog 14 miles in 2 hours. At this rate, how many miles can he jog in 1/4 hour? Final answer needs to be in fraction form not decimal form.
1 3/4 miles
Rachel collects coins. She has 60 total coins. ¾ of her collection are pennies. The rest are dimes. How many dimes does Rachel have?
Rachel has 15 dimes.
A company uses a total of y gallons of water at a rate of 74 gallons per hour for x hours. How many gallons will the company use at 1 hour, 3 hours, and 5 hours ?
The company will use 74 gallons in 1 hour, 222 gallons in 3 hours and 370 gallons at 5 hours.
What is the measure of the corresponding part of the side length of 5?
20
Rectangle ABCD is similar to rectangle PQRS.
So if Line segment AD= 3cm, DC= 7cm in figure one and PS=5cm in figure two, What is the length of line segment RS ?
An above ground swimming pool is priced at $525. There is a 7% sales tax rate. What is the sales tax for the above ground swimming pool in dollars and cents?
$36.75
There are 40 houses in a neighborhood.
Company X provides electricity to ⅛ of the houses.
Company Y provided electricity to ⅖ of the houses.
Company Z provides electricity to the remaining houses.
In this neighborhood, How many houses does Company Z provided electricity to ?
Company Z provides Electricity to 19 houses.
Using the order pairs (0,0), (2,50), (4,100) write an equation in slope-intercept form that can represented from the following order pairs
y = 25x
Triangle ABC If
m<A=50 and m<C = 65, find m<B.
65 Degrees
Roland created a scale drawing of his backyard. In the scale drawing, 1 inch represents 8 yards. The length of back fence on the scale drawing is 5 1/2 inches. What is the actual distance of the back fence?
44 yards
The price of a digital camera was reduced from $350 to $280. By what percentage was the price of the digital camera reduced?
20 %
Karen is making a keychain that is 8 1/2inches long. She has 3 1/4 inches of red string. How much green string does she need to finish the keychain?
5 1/4 of green string she needs to finish her keychain.
Using the order pairs (2,32), (4,64), (6,96) write an equation in slope-intercept form that can represented from the following order pairs.
y = 16(X)
What is the measure of <x?
80 degrees
A tree casts a shadow 60 feet long. At the same time, a nearby 8 foot post casts a 12 foot shadow. How tall is the tree?
The tree is 40 ft tall.
Patricia wants to have her living room carpet cleaned. She found three different companies that would clean the carpet for $198. The companies are each offering discounts on their carpet cleaning services.
Company I is offering 25% off the price of their service.
Company II is offering $30 off the price of their service.
Company III is offering a 1/3 discount off the price of their service.
What is the value of discount for the company with the greatest discount?
Company I has the greatest discount of $49.50