Emily can arrange 20 vases of flowers in 6 hours. Find Emily's rate per hour for arranging
1 answer:
Answer:
vases per hour
Step-by-step explanation:
To find the unit rate, solve the total amount of vases that Emily arranged divided by the amount of time that Emily took to arrange the vases.
Or, in other words, solve 20 ÷ 6, since Emily arranged 20 vases and it took her 6 hours to complete it.
You can do this by hand or you can do it on a calculator.
After you solved it, you should get , or 3.33333...
So, Emily's rate is vases per hour.
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The two linear equations in two variable is:
12 x + 3 y = 40
7 x - 4 y = 38
(a) For a system of equations in two Variable
a x + by = c
p x + q y = r
It will have unique solution , when
As, you can see that in the two equation Provided above
So, we can say the system of equation given here has unique solution.
(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.
1. 12 x+3 y=40
2. 7 x-4 y=38
Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),
L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)
= 30 -10.20
= 19.80≠ R.H.S that is 40.
Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)
= 17.5 +13.6
= 31.1≠R HS that is 38
So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of this system of the equation.