Ratio and proportionality
Ayesha can run half a kilometer in 3 1/2 minutes. What’s her unit rate?
0.14 or 1/7
On her morning jog, Barbara runs 3.4 km north, then turns around and runs another 4.32 km south. How far is she from her starting point?
0.92km
If Aidan buys 5 guinea pigs at 20% off and each pig cost g dollars, what's an expression that shows his cost?
Aidan is paying 5g-0.2(5g), or 4g.
A supplementary angle has an angle of 53.7 degree's, what's the other angle?
126.3 degrees
A school wants to know which cafeteria lunch is most popular. Which method produces a representative sample?
CORRECT ANSWER!
a) Surveying 50 students at random in the library.
If Emeril can grill 6/7 of a steak in 3/14 of an hour, how many steaks can he grill in a full hour?
4 steaks
What is 17/10 − 4.7 +7/5 ?
-1.6
Are the expressions 6( a + 0.5) -1 and 6a +3 equivalent? Why or why not?
yes, they are equivalent
A complementary angle has an angle of 23.7 degrees. what's the other angle.
156.3 degrees.
A random sample of 20 students shows that 15 prefer video games over board games. If there are 400 students in the school, how many students can be predicted to prefer video games?
The predicted number of students who prefer video games in the school is 300.
Do the points (3, 2) and (18, 12) represent a proportional relationship? Why or why not?
represent a proportional relationship because they share the same constant ratio.
what is -3/8 in decimal form?
-0.375
A women making $25 an hour gets a 10% raise.How much money does she get after the raise.
$27.5 an hour.
A supplementary angle has an angle of 111.1 degrees. whats the other angle.
68.9 degrees.
Two box plots show the scores of two different classes, Class A and Class B, on a test.
Class A median is 85, IQR is 10
Class B median is 75, IQR is 15
What can you infer about the performance of the two classes?
Class A generally preformed better because its median (85) Is higher than Class B's median (75). Class B has higher variability (Higher IQR), meaning their scores are more spread out.
in the equation 2y=18x what is the constant of proportionality?
Y = 9x
Is -5/11 equivalent to -5/-11?Why or why not?
They are not equivalent, the expressions are not equivalent because -5/11 result in a negative value, while -5/-11 simplifies to a positive value.
The perimeter is 54cm. Its length is 6cm. What is its width?
21cm
The radius of a circle is 3, what's the area?
The area is 28.27
A bag contains 2 blue, 4 red, and 5 green marbles. if one is selected what's is the probability of selecting a green marbles
The probability of selecting a green marble from the bag is 5/11 or 45.45%
Fred's lunch bill is $17.50.If he wants to tip his waiter 20%, what tip should he leave?
Fred should leave a tip of $3.50
it's been a weird day, temperature-wise. IF it was 75.6F outside at midday, then it rose 6F in the afternoon and dropped another 12.3F by 8:00pm, what was the temperature at 8:00pm?
The temperature at 8:00pm was 69.3F
The sum of three consecutive numbers is 48. What's the smallest number?
The smallest number is 15.
The diameter of a circle is 22, what's the area of the circle.
380.13
A number cube is rolled, and a spinner (red, blue) is spun. What is the probability of rolling an even number and landing on blue?
the probability of rolling an even number and landing on blue is 1/4 or 25%.