Answer:
40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.
Step-by-step explanation:
13%(x) + 18%(50-x) = 14%*50g Multiply them all
0.13x + (9-0.18x) = 7
0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x
9-0.05x = 7 Add 0.05x to each side
9 = 7+0.05x Subtract 7 from both sides
0.05x = 2 Multiply each side by 100
5x = 200 Divide both sides by 5
x = 40
50 - 40 = 10
40 grams and 10 grams
Your welcome
Answer: 1)100ways and 2)90ways
Step-by-step explanation:
Given :-The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)
=10×10=100ways
Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)
=10×9=90ways
Answer:
Step-by-step explanation:
Using the formula for the growth of investment:
.....[1]
where,
A is the amount after t year
P is the Principal
r is the growth rate in decimal
As per the statement:
Scott invests $1000 at a bank that offers 6% compounded annually.
⇒P = $1000 and r = 6% = 0.06
substitute these in [1] we get;
⇒
Therefore, an equation to model the growth of the investment is,
Answer:
FBC
Step-by-step explanation:
It's the only one at the front of the box
Answer: x<4
Step-by-step explanation: Let's solve your inequality step-by-step.
2x+1<9
Step 1: Subtract 1 from both sides.
2x+1−1<9−1
2x < 8
Step 2: Divide both sides by 2.
2x
/2 < 8
/2
x<4