X(x+2) = 48
x^2 + 2x = 48
x^2 + 2x - 48 = 0
*Use quadratic formulae*
x = 6
Numbers are 6 and 8
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>
Answer:
39 yd^2
Step-by-step explanation:
First, we must divide the shape into quadrilaterals. The best, and easiest, way to do this is to cut along the line in the middle, below the lower 2 yd mark. This will give us a 1 yard by 3 yard rectangle, 4 yard by 8 yard rectangle, and 2 yard by 2 yard square. The next thing to do is to find the area of each location of the backyard using the A = l x w equation. 1 x 3 = 3, 2 x 2 = 4, 4 x 8 = 32. The final step is to add these individual areas, giving us 39 square yards.
Answer:
<em>if Petra uses a scale of 1 in = 50 miles, the distance of 400 miles would fit in the page.</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling.
Scaling is essentially multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.
Petra has a piece of paper that is 8.5 inches wide and 11 inches long and she wants to represent a distance of 400 miles by using the scale factor of 1 inch= 20 miles.
a)
Dividing the real distance by the scale factor we get 400/20 = 20 inches. Petra would need 20 inches of paper to represent the scaled distance. That distance won't fit in any direction of the paper, so she actually cannot make the scale drawing.
b)
To make the drawing, the distance of 20 inches should fit into the page in any orientation, let's assume it's done across the paper's width of 8.5 inches.
Dividing 400 / 8,5 = 47
This gives us an idea of the appropriate scale factor. We can use a round number like 50. Thus, if Petra uses a scale of 1 in = 50 miles, the distance of 400 miles would fit in the page.
1) 5 pancakes
2) 10 pancakes
3) 4 eggs
4) 40 pancakes
