Answer:
Step-by-step explanation:
If the ratio of triangle = 3:5:7
Total ratio = 3+5+7 = 15
The sum of angle in a triangle is 180°
1st angle= 3/15× 180 = 3 × 12 = 36°
2nd angle= 5/15 × 180 = 5 × 12 = 60°
3rd angle= 7/15 × 180 = 7 × 12 = 84°
Answer:
B. Start at -7 on the number line and move 11 to the right.
Step-by-step explanation:
<u>Given:</u>
We can add or remove only positive numbers on the number line to get it correct, so we need to open the parenthesis. When evaluated we get:
-7- (-11) = - 7 + 11 = 4
<u>Correct interpretation of of this expression is:</u>
- Start at -7 and add 11, thus move 11 points to the right, to get 4 as final point.
<u>Correct choice is:</u>
- B. Start at -7 on the number line and move 11 to the right.
I believe that you would just multiply 2.35*5 and that would be your answer.
=11.75
Answer:
11, 12, and 13
Step-by-step explanation:
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work.
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant.
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120
What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours?
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours
What is the maximum amount of money Lia can earn in a week?
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
