Let's write 2 equations from the two statements given.
<em>Sarah spent 10 dollars on both oranges and apples</em>
<em />
Let the price of oranges be "x" and price of apples be "y", thus we can write:
Oranges cost 3 less than apples, thus we can say:
We can substitute this into the first equation and solve for y:
Thus, let's solve for x now,
We want the price of oranges (x), thus,
<em>Price of Oranges = $3.50</em>
First, we have to add the fractions.
1/3 + 1/4 = 7/12
12 - 7 = 5
She earns 5/12 of her paycheck on Wednesday
Answer: 24
Step-by-step explanation:
The ratio of sandcastles to kites was 3 to 5 so if 15 kites were spotted that meant that the 5 was multiplied by 3 so then we multiply the 3 by 3. Now there are 9 sandcastles and 15 kites so now we add 9 to 15 to figure out how many items were seen in all. Nine added to 15 equals 24 which means that 24 items were seen in total.
<h3><u>(2x - 5)(4x - 3)</u></h3>
The AC method, also known as splitting the middle, can be shown like this:
8x^2 - 26x + 15
<em><u>Check factors of 120.</u></em>
1 * 120
-1 * -120
2 * 60
-2 * -60
3 * 40
-3 * -40
5 * 24
-5 * -24
6 * 20
-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)
<em><u>Split the middle term.</u></em>
8x^2 - 6x - 20x + 15
<em><u>Group in terms of 2.</u></em>
(8x^2 - 6x) - (20x + 15)
<em><u>Factor each binomial.</u></em>
2x(4x - 3) - 5(4x - 3)
<em><u>Rearrange the terms.</u></em>
(2x - 5)(4x - 3)
Answer:
y = 49 - x
Step-by-step explanation:
Let the other number be y.
Given x + y = 49
x+y-x = 49 - x
y = 49 - x
