Answer:
The cost of a school banquet is $75+30n, where n is the number of people attending.
If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.
At n=53, the value is $(75+30·53)=$1,665.
Step-by-step explanation:
There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.
16*1.125=18
So there are 18 girls in a group with 16 boys.
Answer:
C. Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
Step-by-step explanation:
Rigid transformations are processes that can be applied to change the orientation or size of a given object, while its shape is maintained. Examples are; rotation, reflection, dilation and translation.
To map ΔRST to ΔXYT, the rigid transformations required are; reflection and rotation. ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
Therefore, option C is correct from the given question.
(x+3)-2 that is your answer I know because I'm great at this unit
Answer:
Bus speed: 22 mph; Trolley speed: 14 mph
Step-by-step explanation:
Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).
Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.
Thus,
60 mi 44 mi
--------------------- = time (same in both cases) = -------------
rt + 8 mi/hr rt
Cross-multiplying, we get 44rt + 8(44) = 60 rt, or
352 = 16rt.
Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph
The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph
