Answer:
The first one is two over four
Step-by-step explanation:
Answer and Explanation:
If the rectangle is dilated by a scale factor of 2, that means that all of its sides are doubled.
(a) Originally, AB = CD = 15
So, we just multiply 15 by 2: 15 * 2 = 30. Now, A'B' = C'D' = 30 cm
Originally, AC = BD = 8
We just multiply 8 by 2: 8 * 2 = 16. Now, A'C' = B'D' = 16 cm
(b) Basically, the drawing will be of a new rectangle with dimensions of 30 cm by 16 cm.
Answer:
2.66 miles per hour
Step-by-step explanation:
In order to find the unit rate, you have to divide the two units.
2/3 / 1/4 =
2/3 * 4 = 8/3 or 2.66 mph
Answer:
4 + 2/3 hours
Step-by-step explanation:
For the expert,
6 hours = 1 job
For the secretary,
7 hours = 1 job
We want to figure out how much the expert gets done in 2 hours.
2 hours = x jobs for the expert.
To turn 6 hours = 1 job into this, we can multiply both sides of the equation by 2 (the number we want to get to) / 6 (the number we are at) to get
6 hours * 2/6 = 1 job * 2/6
2 hours = 2/6 jobs
Therefore, the expert does 2/6 of the job, and 1-2/6 = 4/6 of the job is left for the secretary. We want to figure out how long it takes for her to complete the job
We know
7 hours = 1 job
and want to figure out
y hours = 4/6 jobs
We can multiply both sides of the original equation by (4/7) (the number we want to get to) / 1 (the number we are at) to get
7 hours * 4/6 = 1 job * 4/6
28 /6 hours = 4/6 jobs
= 4 + 4/6 hours
= 4 + 2/3 hours
