Answer:
Henry: 21
Latoya: 28
Manuel = 63
Step-by-step explanation:
x = orders henry served
x + 7 = orders latoya served
3x = orders manuel served
x + (x + 7) + 3x = 112
5x + 7 = 112
5x = 105
x = 21
x + 7 = 21 + 7 = 28
3x = 3 * 21 = 63
can you be a <em>bit</em> more specific?
The slope intercept form for a line is y = mx + b.
↑ <span>↑
m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).
For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.
To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):
m = (y</span>₂ - y₁)/(x₂ - x₁)
The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points. ↑ ↑ ↑ ↑
x₁ y₁ x₂ y<span>₂
m = (1 - 0)/(0 - 1)
m = 1 / -1
m = -1
This makes sense - since the slope is going downward, the slope is negative.
So the equation is:
y = -x + 1
____________________________________________________________
For the second problem, We can see the line intercepts the y-axis at -5. That is our b value.
The the slope of this line is 0 since it is not going up or down, so that is our m value:
y = 0(x) - 5 = -5
The equation of the line is y = -5</span>
Answer:
<h2><em><u>12</u></em><em><u> </u></em><em><u>inches</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em><em><u> </u></em>
Measure of a two-story building (in feet)
= 21 feet
So, Measure of the building in (in inches)
= 3 inches
<em><u>Therefore</u></em><em><u>,</u></em><em><u> </u></em>
<em><u>By</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>problem</u></em><em><u>,</u></em><em><u> </u></em>
21 feet building
= 3 inches
So,
1 feet building

Then,
84 feet building

= 3 × 4 inches
= 12 inches
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>84</u></em><em><u> </u></em><em><u>feet</u></em><em><u> </u></em><em><u>building</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>m</u></em><em><u>easure</u></em><em><u> </u></em><em><u>12</u></em><em><u> </u></em><em><u>inches</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>