3 divided by 8 is .375
14 divided by .375 is 37.3 repeating
and the fraction for that is 112/3
For this case we first define varials:
x: number of hours working as cashier
y: number of hours working as a baby sit
We now write the system of equations:
6x + 6y ≥ 60
x + y ≤ 12
Answer:
to solve the real-world problem the system of inequalities is:
6x + 6y ≥ 60
x + y ≤ 12
Answer:
The probability of not drawing blue is 0.3
Step-by-step explanation:
The bag contain a total of:
Blue marbles + green marbles + red marbles
= 777 + 222 + 111
= 1110
We are to find the probability of not drawing a blue marble, if a blue marble is not drawn then the drawn marble is either green or red marbles
P(not draw blue) = p(draw green) + p(draw red)
P(not draw blue) = 222/1110 + 111/1110
P(not draw blue) = 333/1110
P(not draw blue) = 0.3
Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
Answer: $4.90
Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.
Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.
Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:
<h2>
$14.90</h2><h2>
- $ 4.35</h2><h2>
-------------------</h2><h2>
$10.15</h2><h2>
- $ 5.25</h2><h2>
--------------------</h2><h2>
$4.90 </h2>
--------------------------------------------------------------------------------------------------------------
Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Answer: 13.25
Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.
Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.
Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.
Hope this helps you!
P.s. Sorry I could not show how to divide 384.25 by 29.
<h2> </h2>
-2(2f-4) = -4(-f+2)
Distribute the -2, multiplying it to each term inside the parentheses.
(-2 × 2f = -4f, and -2 × -4 = 8 because the double negatives cancel)
-4f+8 = -4(-f+2)
Now distribute the -4...
(-4 × -f = 4f, and -4 × 2 = -8)
-4f+8 = 4f-8
Add 4f to each side so that our variable is on just one side of the equation.
8 = 8f-8
To get rid of that -8 and isolate our variable, add 8 to each side.
16 = 8f
Divide each side by 8 to get the value of f.
2 = f
