Answer:
(4, -2)
Step-by-step explanation:
Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;
6 units to the rights is towards the positive x axis
7 units down is towards the negative y axis
R' = (-2+6, 5-7)
R' = (4, -2)
Hence the coordinate point of R' on the plane is (4, -2)
I am pretty sure that it is table one because each number from the original recipe to the teachers recipe is multiplied by three.
option B) 3 pounds of beef is needed to make 6 times the recipe.
<u>Step-by-step explanation</u>:
<u>step 1 </u>:
Mitch used 14 pounds of beef = 34 liters of beef strogonoff
'x' pounds of beef = 1 liter of beef strogonoff
<u>step 2</u> :
Rate = No. of pounds / No. of liters
(14 pounds / 34 liters) = (x pounds / 1 liter)
x = 14/34
x = 0.412
1 liter of beef strogonoff = 0.412 pounds of beef
<u>step 3</u> :
To make 6 times the recipe = 6 
0.412
= 2.5 pounds of beef ( approximately 3 pounds)
Answer:
A = $996.00
Step-by-step explanation:
(I = A - P = $196.00)
Equation:
A = P(1 + rt)
Where:
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 800(1 + (0.07 × 3.5)) = 996
A = $996.00
The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.
Answer:
x = -3, -6.
Step-by-step explanation:
3x2 + 27x + 54 = 0
Divide through by 3:
x^2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
x = -3, -6.
