Answer:
It is c = kt.
Step-by-step explanation:
This is direct variation . As the time increases the number of cranes increases.
The equation is c = kt where k is the constant of variation. In this case it will be a positive value because c is increasing with time.
If they make 20 cranes in 10 minutes then we can find the value of k by plugging in these values;
20 = k * 10
g = 20/10
k = 2.
So they make 2 cranes per minute.
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((l
tia_tia [17]
Answer:
<h3>
The missing value in the solution to the equation is <u>
6</u>
.</h3><h3>
So, the complete solution is (6, -4).</h3>
Step-by-step explanation:
Given:
6x+7y=4x+4y.
( ,-4)
Now, to complete the missing value in the solution to the equation.
<em>As, the equation is:</em>
<em />
<em />
<em>And, the solution is:</em>
Now, solving the equation by putting the value of 
:
<em>Adding both sides by 28 we get:</em>
<em />
<em />
<em>Subtracting both sides by </em>
<em> we get:</em>
<em />
<em />
<em>Dividing both sides by 2 we get:</em>
<u><em>Thus, the solution to the equation is (6, -4).</em></u>
Therefore, the missing value in the solution to the equation is <u>6</u>.
Answer:
The graph is shown below.
Step-by-step explanation:
Given:
The inequality of a line to graph is given as:
In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,
Now, we plot this line on a graph. The given line is of the form:
Where, 'm' is the slope and 'b' is the y-intercept.
So, for the line , 
The y-intercept is at (0, -3).
In order to draw the line correctly we find another point. Let the 'y' value be 0.
Now, 
So, the point is (3, 0).
Now, we mark these points and draw a line passing through these two points.
Now, consider the line inequality . The 'y' value is less than 
. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.
The graph is shown below.
Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
99ft
A ------------------------- B
| |
20 ft | |
| |
C -------------------------- D
The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.
A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2
Now you solve for the square root of 10,201 to get C.
sqr (10,201) = C
C = 101 yards
You'd have 25 6/8 yards of wire left because she took 3 yards from each spool. So that gives us 2 spools of 12 7/8 and when you add them you get 25 6/8.
