Find the width of a rectangle with a perimeter of 90 and a length of 15.
Answers
Answer:
The width is 75.
Step-by-step explanation:
Since we already know that perimeter = width + length, then all we needed to do was subtract the length (15) from the perimeter (90) to get the width (75)!
Hope this helped!
Answer: w=30
Hope I helped
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answer: x= -1
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Let's represent the fruit as following:
a - the number of apples,
o - the number of oranges,
p - the number of pears.
⇒
⇒
⇒
⇒
Therefore:
Now, if
Since
⇒
⇒ p = 12
There are 12 pears.
Since o = 8p, o = 96:
o = 8 × 12 = 96
There are 96 oranges.
Since
There are 64 apples.
Therefore, there are 64 apples, 96 oranges, and 12 pears.
Answers
The slope of line for the points is -5/8.
What is Slope?
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
given:
We have the Points (–6, 8), (2, 3).
So, the slope is
m = (3- 8)/ (2- (-6))
m = -5 / (2+6)
m = -5 / 8
Thus, the Slope is -5/8.
Learn more about Slope here:
#SPJ2
Answer:
Step-by-step explanation:
Slope = y/x
y1-y2/x1-x2=slope of 2 points
8-3/-6-2 = 5/-8 which equals -5/8 or -.625.
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Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.
In the graph the first equation is in blue and the second in red.
The point of intersection = the solution = (-6 , -1)
If you dont have access to a graphing calculator you could draw the graphs by hand;
1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)
y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)
x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3
y = x + 5
x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7
2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph
3) Using a ruler draw a line connection all the dots of one graph and do the same for the other
4) The point of intersection is the solution
y = mx + b - it's the equation of a straight line. We need only two points to the plotting the graph of that function.
Select any two x values and calculate y values:
Look at the picture.
The solution of the system of equations is the intersection point of the line.
Answer: (-6, -1) → x = -6 and y = -1
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The key word is times.
Multiply 1.75 × 1.2
That equals 2.1 yards of blue material.
1.75•1.2= 2.1 yards