Answer: Choice C![a-7 \le 5](https://tex.z-dn.net/?f=a-7%20%5Cle%205)
(a-7 is less than or equal to 5)
and
![a-7 \ge -5](https://tex.z-dn.net/?f=a-7%20%5Cge%20-5)
(a-7 is greater than or equal to -5)
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Explanation:
![|a-7| \le 5](https://tex.z-dn.net/?f=%7Ca-7%7C%20%5Cle%205)
is the same as
![-5 \le a-7 \le 5](https://tex.z-dn.net/?f=-5%20%5Cle%20a-7%20%5Cle%205)
We can use the rule that if
![|x| \le k](https://tex.z-dn.net/?f=%7Cx%7C%20%5Cle%20k)
then
![-k \le x \le k](https://tex.z-dn.net/?f=-k%20%5Cle%20x%20%5Cle%20k)
where k is any positive number
After we get
![-5 \le a-7 \le 5](https://tex.z-dn.net/?f=-5%20%5Cle%20a-7%20%5Cle%205)
, we break it down into two pieces. The first piece is
![-5 \le a-7](https://tex.z-dn.net/?f=-5%20%5Cle%20a-7%20)
while the second piece is
![a-7 \le 5](https://tex.z-dn.net/?f=a-7%20%5Cle%205)
Flip the two sides of
![-5 \le a-7](https://tex.z-dn.net/?f=-5%20%5Cle%20a-7%20)
to get
![a-7 \ge -5](https://tex.z-dn.net/?f=a-7%20%5Cge%20-5)
So we have
![a-7 \le 5](https://tex.z-dn.net/?f=a-7%20%5Cle%205)
and
![a-7 \ge -5](https://tex.z-dn.net/?f=a-7%20%5Cge%20-5)
That's why
the answer is choice CSide Note: we must use the connector "and" instead of "or". Both parts of
![a-7 \le 5](https://tex.z-dn.net/?f=a-7%20%5Cle%205)
and
![a-7 \ge -5](https://tex.z-dn.net/?f=a-7%20%5Cge%20-5)
need to be true, instead of just one part only. This is why we can rule out choice B due to the "or" connector.
Answer: -1.5, -1, -1/2, 1/4
Step-by-step explanation:
9 pieces 18 divided by 1 7/8 = 9.6 but you can’t have .6 so it’s just 9
Answer:
![385\ miles](https://tex.z-dn.net/?f=385%5C%20miles)
Step-by-step explanation:
we know that
I drive 715 miles in 13 hrs
using proportion
Find how many miles would I drive in 7 hrs
Let
x -----> the number of miles
![\frac{715}{13}\frac{miles}{hours}=\frac{x}{7}\frac{miles}{hours} \\ \\x=715*7/13\\ \\x=385\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B715%7D%7B13%7D%5Cfrac%7Bmiles%7D%7Bhours%7D%3D%5Cfrac%7Bx%7D%7B7%7D%5Cfrac%7Bmiles%7D%7Bhours%7D%20%5C%5C%20%5C%5Cx%3D715%2A7%2F13%5C%5C%20%5C%5Cx%3D385%5C%20miles)
Answer:
B. decrease of 12
Step-by-step explanation:
Number of people who left the store = 14
Number of people who entered the store = 10
Again,
Number of people who left the store = 13
Number of people who entered the store = 5
Total people who left the store = 14 + 13
= 27 people
Total people who entered the store = 10 + 5
= 15 people
Number of people remaining in the store = Total people who entered the store - Total people who left the store
= 15 - 27
= -12
This means there is a net decrease in the number of people in Carmen's Computer Store