Answer:
Kira sent 19 text messages, Goran sent 14 text messages and Joe sent 57 text messages.
Step-by-step explanation:
Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.
We know know that they sent a total of 90 text messages then:
Goran sent 5 fewer messages than Kira. This is:
And Joe sent 3 times as many messages as Kira. Then:
The steps to solve this are:
- Substitute the second equation and the third equatio into the first equation and then solve for "k":
- Substitute this value into the second equation to find "g":
- Substitute the value of "k" into the third equation to find "j":
Answer: Options 1, 3, 5
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.
- Option 1 has a slope of -3.
- Option 2 has a slope of 3.
- Option 3 has a slope of -3.
- Option 4 has a slope of 1/3.
- If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.
It would help if you had a four quadrant graph, but the distance would be (8,11).
Answer:
The inequality for this is 12.5x + 55 ≥ 160
and the amount of visits they need for free movie tickets is 8 visits
Step-by-step explanation:
if you subtract both sides by 55, you'll get
12.5x ≥ 105
and if you divide both sides by 12.5, you'll get 8.4, or 8