Answer:
240 lollipops
Step-by-step explanation:
Cherry probability=9/15=3/5=0.6=60%.
![\frac{3}{5} =\frac{x}{400}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%3D%5Cfrac%7Bx%7D%7B400%7D)
![5x=1200](https://tex.z-dn.net/?f=5x%3D1200)
![x=240](https://tex.z-dn.net/?f=x%3D240)
240 of the lollipops should be cherry-flavored.
Answer:
Step-by-step explanation:
We can write some equations to describe the given relationships:
A = B - 2 . . . . . A is 2 kg lighter than B
A = C/5 . . . . . . A is 1/5 the weight of C
A+C = 3B . . . . together, A and C are 3 times the weight of B
__
Let's solve for A.
B = A+2 . . . from the first equation
C = 5A . . . . from the second equation
A +5A = 3(A+2) . . . . substituting for B and C in the third equation
6A = 3A +6
3A = 6
A = 2
__
B = A+2 = 4
C = 5A = 10
Watermelon A weighs 2 kg; B weighs 4 kg; and C weighs 10 kg.
Answer: 1. inversely 2. 4,000 3. direct 4. 35
Step-by-step explanation:
The amount of Columbian's coffee is 0.25 pounds and Kona's coffee 4.75 pounds.
Data;
- Columbian coffee = $4.40
- Kona coffee = $7.60
Let the value of Columbian coffee be represented by x
Let the value of Kona coffee be represented by y
<h3>System of Equation</h3>
To solve this problems, we need to write a system of equations of this problem.
![4.40x+7.60y = 37.20..equation(i)\\x+y = 5...equation(ii)\\](https://tex.z-dn.net/?f=4.40x%2B7.60y%20%3D%2037.20..equation%28i%29%5C%5Cx%2By%20%3D%205...equation%28ii%29%5C%5C)
From equation (ii), let's make x the subject of formula
![x+y =5\\x = 5 - y...equation(iii)](https://tex.z-dn.net/?f=x%2By%20%3D5%5C%5Cx%20%3D%205%20-%20y...equation%28iii%29)
Substitute equation(iii) into equation(i)
![4.40x+7.60y=37.20\\x =5 - y\\4.40(5-y) + 7.60y = 37.20\\22 - 4.40y + 7.60y = 37.20\\22 + 3.20y = 37.20\\3.20y = 37.20-22\\3.20y = 15.2\\\frac{3.20y}{3.20} =\frac{15.2}{3.20}\\ y = 4.75](https://tex.z-dn.net/?f=4.40x%2B7.60y%3D37.20%5C%5Cx%20%3D5%20-%20y%5C%5C4.40%285-y%29%20%2B%207.60y%20%3D%2037.20%5C%5C22%20-%204.40y%20%2B%207.60y%20%3D%2037.20%5C%5C22%20%2B%203.20y%20%3D%2037.20%5C%5C3.20y%20%3D%2037.20-22%5C%5C3.20y%20%3D%2015.2%5C%5C%5Cfrac%7B3.20y%7D%7B3.20%7D%20%3D%5Cfrac%7B15.2%7D%7B3.20%7D%5C%5C%20y%20%3D%204.75)
Let's substitute this value into equation(ii)
![x+y=5\\y = 4.75\\x+4.75=5\\x = 5 - 4.75\\x = 0.25](https://tex.z-dn.net/?f=x%2By%3D5%5C%5Cy%20%3D%204.75%5C%5Cx%2B4.75%3D5%5C%5Cx%20%3D%205%20-%204.75%5C%5Cx%20%3D%200.25)
From the calculations above, the amount of Columbian's coffee is 0.25 pounds and Kona's coffee 4.75 pounds.
Learn more on system of equations here;
brainly.com/question/14323743
F(x)=x^2+bx-16
x=5
F(5)=5^2+b(5)-16
=25+5b-16=0
=5b+9=0
=5b=-9
=b= -9/5
By remainder theorem