Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
Answer:
leftmost empty cell: ⅓
rightmost empty cell: 3
Step-by-step explanation:
✔️If 2 pounds grapes cost $6, then x pounds of grapes cost $1.
Thus;
2 : 6 = x : 1
2/6 = x/1
Multiply both sides by
²/6 × 1 = x/1 × 1
²/6 = x
¹/3 = x
x = ⅓
✔️If 2 pounds grapes cost $6, then 1 pound of grapes cost $x.
Thus;
2 : 6 = 1 : x
²/6 = ¹/x
Cross multiply
2x = 6
Divide both sides by 2
2x/2 = ⁶/2
x = 3
Answer:
58
Step-by-step explanation:
(2)(4) + (2)(-√-100) + (√-25)(4) + (√-25)(-√-100)
= 8 - 20i + 20i + 50 = 58
Answer:
3.00
Step-by-step explanation:
Given that :
Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10
Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05
Expected value :E(X) = ΣX* p(x)
E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)
E(X) = 3
Expected value = 3.00
