Answer:
-6
Step-by-step explanation:
3x + 9 = -9
3x = -18
x = -6
Let x = the number.
"increased by" tells you we are adding.
"twice a number" tells you 2 times a number.
16 + 2x = - 24
Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.
2x = - 24 - 16
2x = - 40
Divide by 2 to isolate the variable.
x = - 40/2 = - 20
Your solution is - 20.
To check your answer, plug in.
16 + 2(-20) = - 24
16 - 40 = - 24
- 24 = - 24
Answer:
10 hours lifeguarding, 6 hours tutoring
Step-by-step explanation:
As you know how long he worked and how much he earned, it's worth seeing how many hours it would have been had he worked just tutoring or just lifeguarding.
$242 / 11 = 22 hours if it was just lifeguarding
$242 / 22 = 11 hours (as it's exactly double the wage) if it was just tutoring
We now know that he worked some combination of both
Calculating his average wage can help work out which he worked more of:
$242 / 16 = 15.125
That means Parker's average hourly wage was 15.125 which is closer to 11 than 22 (16.50 would mean an exactly even split between the two) so he did more hours lifeguarding than tutoring so more than 8 hours.
What I then do is consider the variations that could work:
9 (lifeguarding) and 7 (tutoring) = 99 + 154 = 243
So we're almost exactly there straight away, but not quite so...
10 and 6 = 110 + 132 = 242
There you have it.
Answer:
*bottom*
Step-by-step explanation:
We want to find what we need to mix to get 10 cups of lemonade.
We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.
We know that the lemonade recipe is:
1 cup of lemon juice and 4 cups of water.
This gives us a total of:
1 cup + 4 cups = 5 cups of lemonade.
Then if we want 10 cups of lemonade, we just need to use the double of each one of the ingredients.
this is:
2*(1 cup) = 2 cups of lemon juice
2*(4 cups) = 8 cups of water.
We need to use 2 cups of lemon juice and 8 cups of water to get a total of 10 cups of lemonade.
Answer:
x = 13
Step-by-step explanation:
Since the two given angles are vertical angles, we know (5x) = 65.
Divide both sides by 5 : <u>5x = 65</u> and we get x = 13
5
