Answer: 242.08
299.04/ 42 =__ , __ 34= 242.08
Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:
![x+y = 152\\8.5x+12y=1656](https://tex.z-dn.net/?f=x%2By%20%3D%20152%5C%5C8.5x%2B12y%3D1656)
From equation 1:
![x = 152-y](https://tex.z-dn.net/?f=x%20%3D%20152-y)
Putting the value of y in equation 2
![8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104](https://tex.z-dn.net/?f=8.5%28152-y%29%2B12y%20%3D%201656%5C%5C1292-8.5y%2B12y%20%3D%201656%5C%5C3.5y%2B1292%20%3D%201656%5C%5C3.5y%20%3D%201656-1292%5C%5C3.5y%20%3D%20364%5C%5C%5Cfrac%7B3.5y%7D%7B3.5%7D%20%3D%20%5Cfrac%7B364%7D%7B3.5%7D%5C%5Cy%20%3D%20104)
Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation
![x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48](https://tex.z-dn.net/?f=x%2By%20%3D%20152%5C%5Cx%2B%20104%20%3D%20152%5C%5Cx%20%3D%20152-104%5C%5Cx%20%3D%2048)
Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
Answer:
peanuts=2/5
chocolate chips=1/8
coconut=3/10
rest=sprinkles
2/5+1/8+3/10
lcm=40
<u>16 + 5 + 12</u>
60
=33/60
60/60 -33/60
=27/60
=9 /20 apples are covered with sprinkles
9/20 x 120
<h2>
=63 apples are covered with sprinkles</h2>
Step-by-step explanation:
Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
final solution:
This includes 0.45*52l= 23.4 l acid
Let's assume:
- amount of 15% solution= x
- amount of 25% solution= y
- amount of 70% solution= z
- and we have z=2y
so there are 2 equation:
or
- x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
- 0.15x+1.65y=23.4
- 0.15*(52-3y)+1.65y=23.4
- 7.8-0.45y+1.65y=23.4
- 1.2y=23.4-7.8
- 1.2y= 15.6
--------
- x= 52- 3*13= 13 l
- z= 2y= 2*13= 26 l
1. 9/44
2. 1/3
3. 1/14
4. 4/45
5. 7/12
6. 14/55
7. 5/12
8. 2/9
9. 1/16
10. 7/6
11. 5/12
12. 4/5
13. 6/7
14. 7/12
15. 1
16. 3/2
17. 15/8
18. 4/7