Answer:
j=1/2k+5/2
Step-by-step explanation:
2j−k=5
Step 1: Add k to both sides.
2j−k+k=5+k
2j=k+5
Step 2: Divide both sides by 2.
2j/2=k+5/2
j=1/2k+5/2
6 pennies, 12 nickels, 8 dimes, 4 quarters = 30 coins
a) add the probability for drawing a dime and drawing a quarter together:
12/30 + 4/30 = 16/30 = 8/15
The probability is 8/15 or 53%
b) multiply the probability for drawing a penny and drawing a nickel:
6/30 x 12/30 = 72/900 = 2/25
The probability is 2/25 or 8%
c) multiply the probability for drawing quarters but take away one of the total coins and the amount of quarters each time:
4/30 x 3/29 x 2/28 = 24/24360 = 1/1015
The probability is 1/1015 or 0.099%
Answer:
Step-by-step explanation:
In exponents multiplication, if bases are same, add the powers
Lets call s the number of scented candles sold, and u the number of unscented candles sold and write as an equation the info provided in the problem:
16s + 10u = 400
s + u = 28
that is, the first equation synthesize the fact that the amount of unscented candles times its quantity plus the amount of scented candles times its quantity equals $400
and the second equation synthesize the fact that the number of scented and unscented candles add up to 28
Now you just need to solve the system of two linear equations with two unknowns to get the specific value of the scented and unscented candles.
Answer:
120 ml oil
150g onions
1.2 kg potatoes
1.5 litres milk
Step-by-step explanation:
The revipe serves 4 people, but Richard wants to serve 12 people. This is 3x the number of people intended.
So, multiply all the fiven ingredients by 3 as well.
Oil = 40ml x 3 = 120ml
Onions = 50g x 3 = 150g
Potatoes = 400g x 3 = 1200g = 1.2 kg
Milk = 500ml x 3 = 1500ml = 1.5 litres
Hope this helps
