The perimeter of a rectangle is 50 cm and the length is 4 cm longer than the width. Write and solve the system of equations usin
g the substitution method.
1 answer:
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Answer:
Option (a) is correct.
Step-by-step explanation:
Given : equation 2x + 3y ≤ 6
We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6
Consider the given equation 2x + 3y ≤ 6
We first find the points where the equation cut x- axis and y-axis.
Thus,
For x - axis put y = 0 ,
We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3
Thus, point (3,0)
For y - axis put x = 0 ,
We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2
Thus, point (0,2)
For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.
Consider the point (0, 0) , then inequality becomes,
2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)
Hence, region below the line will be considered.
Thus, Option (a) is correct.
Answer:
15 candles and 6.72 ounces left over.
Step-by-step explanation:
Jerod has the amount of beeswax = 132.72 ounces
Jerod is making candles from beeswax.
one candle uses the amount of beeswax = 8.4 ounces
Total candles can be made from total beeswax =
= 15.8
With 132.72 ounces wax 15 candles were made.
In order to calculate the left over wax we calculate the amount is used in 15 candles
= 8.4 × 15 = 126 ounces
Left over wax = 132.72 - 126 = 6.72 ounces
Therefore, 15 candles can be made and 6.72 ounces wax would be left over.