Answer: Mackenzie bought 7 bags of popcorn and 10 candies.
Step-by-step explanation:
Let x represent the number of bags of popcorn that Mackenzie bought.
Let y represent the number of candies that Mackenzie bought.
She bought a total of 17 bags of popcorn and candies altogether. This means that
x + y = 17
She bought $99.50 worth of bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs $4. This means that
8.5x + 4y = 99.5- - - - - - - - - - - - - - 1
Substituting x = 17 - y into equation 1, it becomes
8.5(17 - y) + 4y = 99.5
144.5 - 8.5y + 4y = 99.5
- 8.5y + 4y = 99.5 - 144.5
- 4.5y = - 45
y = - 45/ - 4.5
y = 10
x = 17 - y = 17 - 10
x = 7
Answer:
Step-by-step explanation:
The line has a slope of -1/3. For lines to be perpendicular there product must equal negative 1
m1(m2)=-1
-m/3=-1
m=3
So we know our line has a slope of three so
y=3x+b, we can solve for the y intercept, b, using point (-2,8)
8=3(-2)+b
8=-6+b
b=14, so our line is
y=3x+14
Answer:
0.31% = 0.0031 in decimal form.
Step-by-step explanation:
Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).
Step-by-step explanation:
Let the divided amount between ramu and muni be 3x and 2x respectively.
Then
3x + 2x = 560
5x = 560
x = 560/ 5
x = 112
Amount received by Ramu
= 3 * 112 = 336
Amount received by muni
= 2 * 112 = 224
Hope it will help :)
Answer:
It's 27
Step-by-step explanation:
