You said it yourself... the phrase "900 miles at 30 miles per hour" means that the fraction 900/30=30 is showing how many hours it takes to do 900 miles at a speed of 30 miles an hour. So, it took 30 hours. As with your question, I am not entirely sure of what you are asking, but from the answer choices, the most logical would be the last one, 900 miles/ ? hours. If you implement the number of hours that it takes to drive 900 miles at 30 miles per hour, the fraction would be 900 miles/ ? hours, which would then show the rate that you are driving at, 30 miles per hour.
Answer:
<8
Step-by-step explanation:
From the diagram, Corresponding angles are congruent that is Corresponding angles are equal in measure. From the diagram shown, the angle corresponding to <4 is <8 since they are located at the same position on both parallel lines that is right below (both at the top and bottom based on geometry )
Answer:
Question 2 is $500 and Question 3 is 5
Step-by-step explanation:
Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
