1. He worked 10 hours + 15 hours = 25 hours
He earned $280 for 25 hours of work.
The rate per hour is $280/25 hours = $11.20/hour
2. You need to find 6% of $32,345.
To find a percent of a number, multiply the percent by the number.
To change the percent into a decimal, move the decimal point two places tot he left.
6% of $32,345 = 6% * $32,345 = 0.06 * $32,345 = $1,940.70
3. flat paint: 33 gal
gloss paint: 57 gal
Total paint = 33 gal + 57 gal = 90 gal
Ratio of gloss to total = 57:90
Answer:
(2n -3) + n = 102
2n - 3 + n = 102
3n - 3 = 102
3n = 105
n = 35 (the first number)
SO...
The other number is (2 x 35) - 3 =
70 - 3 = 67 (the second number)
The numbers are 35 and 67.
35 + 67 = 102 CHECK!
Answer:
y=2 is a line parallel to the x axis that passes through the point (0,2)
A line perpendicular to it would any line that is parallel to the y axis, which crosses the x axis at any point.
Step-by-step explanation:
Perpendicular lines are always found by reciprocating the negative value of the slope in question.
The slope in this case, in y = 2, is zero. You have a horizontal line hovering at the value “2” in the y-dimension, parallel to the x dimension. You can tell the slope is zero since there is no coefficient value paired with “x” so you can assume that since value multiplied by 0 is zero, the same instance has been performed in favor of a dearth of “x.”
Alright. So slope zero. The negative of zero is zero, since zero is neutral. It is neither positive nor negative (though some people tend to see it as positive for reasons irrelevant to your question. Will be answered at your request).
If you take the reciprocal of zero, it becomes undefined because what was once a numerator (0 divided by any number except 0, because then it would already be undefined) becomes a denominator (any numerator divided by 0 becomes undefined by default, as explained already). So now you can assume that the new line is undefined. This means that it is vertical! The only line that does not pass as a function. And it makes sense. A slope of 0 is 90° from a slope of no defined value, which will take on an unknown x-value since its location is not specified.
Divide the figure into a triangle on the left and a rectangle on the right. You know the side lengths of the rectangle are 3 x 10, so multiply to get the area of the rectangle. Next, find the area of the triangle. The area of a triangle is given by 1/2bh, where b is the base and h is the height. Because you know the short side of the rectangle is 3, subtract 3 from 5 to get the base of the triangle. then multiply that by 10, the height, and divide by 2 to get the area of the triangle. Then just add up the area of the triangle and the area of the rectangle to get your answer :)
You could first solve for y, assuming x is 0, and y = 6. Then solve for x, and that means y = 4.
