Answer:
(1, –5)
Step-by-step explanation:
It is relatively easy to try the offered solutions to see what works.
<u>(1, -5)</u>
3(1) +10(-5) = -47 . . . true
5(1) -7(-5) = 40 . . . true
(1, -5) is the solution
_____
As a check, you can try some of the other choices:
<u>(1, 5)</u>
3(1) +10(5) ≠ -47
<u>(-1, -5)</u>
3(-1) +10(-5) ≠ -47
<u>(-1, 5)</u>
3(-1) +10(5) ≠ -47
None of the other choices works in the first equation, so they're not the solution.
In order to answer, I would first need to know Jana's speed, not that she biked at a constant rate.
Answer:
The area of the parallelogram is 0.1875 mile² ⇒ D
Step-by-step explanation:
The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where
- b1 and b2 are two adjacent sides of it
- h1 and h2 are the heights perpendicular to these bases
In the given figure
∵ There is a parallelogram
∵ One of its bases is 0.25 mile
∴ b1 = 0.25 mile
∵ the height of this base is 0.75 mile
∴ h1 = 0.75 mile
→ By using the rule of the area above
∴ The area of the parallelogram = 0.25 × 0.75
∴ The area of the parallelogram = 0.1875 mile²
∴ The area of the parallelogram is 0.1875 mile²
Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:
70 would have to be 70% of x.
To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:
70 • 100 = 7,000
Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:
7,000 divided by 70 gives us 100.
x = 100
Now, we can plug our answer in to see if it makes sense.
Does 70/100 represent 70%?
Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.
Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.
