Answer:
see explanation
Step-by-step explanation:
The 4 sides of a rhombus are congruent.
(i)
2y + x - 4 = 2x - y ( subtract 2x - y from both sides )
3y - x - 4 = 0 ( add 4 to both sides )
3y - x = 4 → (1)
and
= 2x - y ( multiply both sides by 2 to clear the fraction )
4x - 3y + 5 = 4x - 2y ( subtract 4x - 2y from both sides )
- y + 5 = 0 ( subtract 5 from both sides )
- y = - 5 ( multiply both sides by - 1 )
y = 5
substitute y = 5 into (1)
3(5) - x = 4
15 - x = 4 ( subtract 15 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
(ii)
then
2x - y = 2(11) - 5 = 22 - 5 = 17
perimeter = 4 × 17 = 68 cm
The number of minutes it will take 5 machines to make 15 widgets is 90 minutes
Given that :
The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.
Using the variation protocol defined :
Let :
n = number of widgets made
n = number of widgets made m = number of machines used
n = number of widgets made m = number of machines used t = time taken
Hence, from joint variation :
t α n α 1/m
t = kn/m
Where k = constant of proportionality :
Solving for k
When t = 10, n = 5, m = 15
10 = (k × 5) / 15
15 × 10 = 5k
150 = 5k
k = 150 / 5
k = 30
Equation becomes :
t = 30n/m
Solve for t ;
When m = 5 ; n = 15
t = (30 × 15) / 5
5t = 450
t = 450 / 5
t = 90
Hence, it will take 90 minutes.
Learn more : brainly.com/question/18796573
Answer: Jason has 7 pennies and 6 nickels.
Step-by-step explanation:
Let be "p" the number of pennies that Jason has and "n" the number of nickels that Jason has.
Set up a system of equations:
You can use the Elimination Method. Multiply the first equation by -0.01 and add both equations:
Susbtitute this value into the first equation and solve for "p":
Answer:
The last answer is right
Step-by-step explanation:
Because zs cuts the shape in half
From the graph,
f(0) = 1
Notice that when x = 0, y = 1.
If we plot the point (0,1) It's the same point. So f(0) = 1 is basically substituting x = 0 and get y = 1
