Answer: X=30
Hope that helped!!!
Answer: 3 kids take 3 pieces of candy each
Step-by-step explanation:
Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)
Number of children that took 5 pieces is y ( total take 5*y pieces of candy)
1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.
( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy. So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )
So we have 2 equations or the system of 2 equations:
1). x+y=18
2). 3*x +5*y=84
Multuply both sides of equation 1) by 3
We have 3*x+3*y=18*3
Deduct 3*y from both sides of this equation
3*x+3*y-3*y=54-3*y
3*x=54-3*y
Substitute 3*x in equation 2). by 54-3*y
2) 54-3*y+5*y=84
2*y=30
y=15 ( kids take 5 pieces of candy each)
Using equation 1) find x
x+15=18
x=3 (kids take 3 pieces of candy each)
Answer:
<u>$4800</u>
Step-by-step explanation:
The expected net income is the probability when rains multiplied by net income (profit) summed with the probability of not raining with that days net income multiplied.
First, Chance of rain = 12% = 12/100 = 0.12
Profit/Loss = Income - Cost
Income is 5000
Cost = 9000
So,
Loss = 5000 - 9000 = 4000
Or, Net Income (profit) = - 4000
Now, Change of not raining = 100 - 12 = 88% = 88/100 = 0.88
Profit = Income - Cost
Income = 15,000
Cost = 9000
Net Income (profit) = 15000 - 9000 = 6000
So, we can write the expected net income as:
<u>Expected NI </u>= (0.12)(-4000) + (0.88)(6000) = <u>$4800</u>
Answer: If Tara puts 4 pennies in for every one Sam does then after he puts in 10 she would of put 40.
She put in 40 pennies. Hope this helps ;)
Answer:
12
Step-by-step explanation:
Mass of apples = number of containers × mass in each container
6 lb = No of containers × ½ lb
No of containers = 6/½
To divide a whole number by a fraction, invert the fraction and change divide to multiply.
6/½ = 6 × 2/1
Multiply the numerator by the whole number.
6 × 2/1 = 12/1
Simplify the fraction.
12/1 = 12
Elise can make 12 containers of applesauce.
