Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
First we must find what 45% of 210.5 ft is. there are two ways to find the percentage, multiplication or a ratio.
Since it's 45% OF 210.5 ft we know it will be multiplication because of means to multiply.
It would look like this becuase a percentage is a decimal answer. we'd find that by moving the decimal place two places to the left.
94.725 would be the result if 45% of 210.5
We will still to to subtract but first let me show you how to do it with ratios.
To do this we set it up like so.
We know that the percentage 45 is out of 100 percent. we also know that 210.5 is the whole number we are trying to find the fraction of. Therefore 210.5 would be equivalent to the 100 because 210.5 is the entire number (210.5/210.5).
First we divide 210.5 by 100 to figure out how much to multiply the numerator by to find the number (or numerator) over 210.5.
We come up with the number 2.105
We then multiply that number by 45 to find the numerator of the fraction of 210.5
45 × 2.105 = 94.725
Now to find the remainder of fencing left we subtract 94.725 from 210.5 since we only found out what 45% of 210.5 is not how much is left over.
We come up with an answer of 115.775 ft which we round to 115.78 ft of fencing.
Okay. Mainly for these questions, we have to write out equations.
1. For the vacation days given in the U.S., that equation would be 25-n, because the U.S. gets fewer days than the Japanese worker does.
Equation: 25-n
2. The equation for this one would be 26s, because there are 26 grams of protein for each cup of cottage cheese. To find out the total amount of protein for all of the cups together, that equation works work out.
Equation: 26s
Answer:
Therefore, we conclude that it is the first quadrant.
Step-by-step explanation:
We know that the x coordinate is the temperature in C and the Y coordinate is the change in number of people who re sledding.
We have a point showing 8 degrees Celsius above zero and increase of 4 people sledding.
Therefore, we conclude that it is the first quadrant.
We use the software to drawn a graph.
(12,0) and (1250,0) only promblem is on the test since im doing it to there is no place to but (1250,0)