To solve problem #1 follow the steps below...
Step 1:Think back to PEMDAS
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
(Think of M,D as brothers and whichever once comes first in the problem you do.This rule also applies to A,S)
Step 2: Look back to your problem
(6 divided by 2 plus 1) plus 10x2
Step 3: Start with the parentheses
6 divided by 2 plus 1
Step 4: Do the division first
6 divided by 2=3
Step 5:Now the addition
3 plus 1=4
Step 6: Rewrite the problem
4 plus 10x2
Step 7: Do the multiplication
10x2=20
Step 8: Rewrite your problem again
4 plus 20
Step 9: Solve
4 plus 20=24
Step 10: Look back at your work and see what order your operations were done in
.Division
.Addition
.Multiplication
.Addition
Step 11: Compare your order to the choices
Answer: b
I hope this helps and if any false information was given I apologize in advance.
The answer is 22, it would have to be much larger for it to be 32
Answer:
um whats the question ?
Step-by-step explanation:
.....
Answer:
y=-1/4x+2
Step-by-step explanation:
Slope intercept form is :
y=mx+b
where m is the slope, and b is the y intercept.
We are given the slope, it is -1/4. We are also given the y intercept, it is (0,2). For this form, the 0 in (0,2) is ignored, and we consider the y intercept to be 2.
So, m is -1/4, and b is 2. Substitute the values into the equation above.
y= -1/4x+2
So, the equation in slope intercept form is
y= -1/4x+2
Let
x = number of liters of the 40% salt solution
y = number of liters of the 20% salt solution
The two amounts (x and y) must combine to 1500 liters, so
x+y = 1500
we can solve for y to get
y = 1500-x
after subtracting x from both sides
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If we have x liters of the 40% salt solution (composed of pure salt plus other stuff) then we have exactly 0.40*x liters of pure salt. Simply multiply the decimal form of the percentage with the amount of solution.
Similarly, if we have y liters of the 20% solution, then we have 0.20*y liters of pure salt
Combined, we have 0.40*x + 0.20*y liters of pure salt all together.
We want 1500 liters of a 28% solution, so we want 1500*0.28 = 420 liters of pure salt
Equate the two expressions (0.40*x + 0.20*y and 420) to get
0.40*x + 0.20*y = 420
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We have the equation 0.40*x + 0.20*y = 420 and we also know that y = 1500-x
Let's use the substitution property now
0.40*x + 0.20*y = 420
0.40*x + 0.20*( y ) = 420
0.40*x + 0.20*( 1500 - x ) = 420 ... note how y is replaced with 1500-x
Now we can solve for x
0.40*x + 0.20*( 1500 - x ) = 420
0.40*x + 0.20*(1500) + 0.20*(-x) = 420
0.40*x + 300 - 0.20x = 420
0.40*x - 0.20x + 300 = 420
0.20x + 300 = 420
0.20x + 300 - 300 = 420 - 300
0.20x = 120
0.20x/0.20 = 120/0.20
x = 600
Now that we know x, use this to find y
y = 1500-x
y = 1500-600 ... plug in x = 600 (ie replace x with 600)
y = 900
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Answers:
We need 600 liters of the 40% solution
We need 900 liters of the 20% solution
