Answer:
y=4x+1
Step-by-step explanation:
First find the gradient of the straight line
Then substitute the gradient in the formula y=mx+c.
Substitute one of the given coordinates in the line to find the value of c.
After finding the value of c substitute it in the formula but do not write the values of x and y in the formula
Answer:
11 and 7
Step-by-step explanation:
Perimeter is all of the sides added together
11+11+7+7=36
Area of a rectangle is length x width
7*11=77
The answers are 7 and 11 for the length and width
Whether which one is the width and which is the length depends on which side is the longest.
Answer:
88 Inches^2
Step-by-step explanation:
Find the areas of one of the triangles and one of the rectangles, add them together, then multiply by 2.
0.14921894<span>3 or 3.3507811
Hope this helps!!
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<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
