Answer:
33.1 grams
Step-by-step explanation:
You know that 58% of the chocolate bar is cocoa and it weighs 57 grams. All you have to do is multiply 0.58 and 57 together. This will give you the amount of grams of cocoa!
58% = 0.58
0.58*57 grams = 33.06
Round up! 33.06 --> 33.1 grams
Answer:
The number of customers needed to break even is
Step-by-step explanation:
Rent per month = $ 7200
Rent per year, $ 
= $ 86400 -------------(1)
Insurance per year = $ 4200 ---------(2)
Total direct cost for 2 servers (withoout tax) per year,
= $ 
= $ 60000
Total cost for helper ( without tax) per year,
= $ 
= $ 15000
Total cost for employees per year (without tax),
= $ (60000 +15000) = $ 75000
Total cost per year for employees including tax,
$ 
= $ 
= $ 80737.5 -----------------------(3)
So,
total cost for running the restaurant (except food)
= (1) + (2) + (3) = $ 
= $ 171337.5
Average total profit per customer,
= ( Average per customer payment - average cost of food per customer)
= $ (45.47 - 20.18)
= $ 25.29
So, total number of customer needed to break even,
= 
\simeq 6775
Answer:
boys
Step-by-step explanation:
Let 
= total number of ninth graders. By knowing how many students there are in the grade, we can find for the number of boys.
(number of girls in ninth grade)
To find for the number of boys, we can use substitution:
∴ There are boys in the class.
Hope this helps :)
Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1
Step-by-step explanation:
a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.
b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.
c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.
EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.
Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.
HJ and HI both measure 5 since they are congruent. 5+5+8=18.
d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.
Answer:
Not a right triangle.
Step-by-step explanation:
If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, 
, so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: 
. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that 
according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.
