Answer: Approximately -8.54
Explanation: use Pythagorean’s theorem.
8 squared plus 3 squared equals the resultant squared. 8 squared plus 3 squared is 73, then square root that to get 8.54
Number of action figures each box contains = 198
Total number of boxes = 4
The product can be found as =
hence, option 2 is the correct answer.
4 x (200 - 2) =
Answer:
The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
Step-by-step explanation:
Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:
RC = 25 + 0.14x ....................... (1)
BC = 23 + 0.18x ...................... (2)
Where;
RC = Total cost of Rent-Me Rent-A-Car
BC = Total cost of Better Deal Rental Car
The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:
25 + 0.14x = 23 + 0.18x
25 - 23 = 0.18x - 0.14x
2 = 0.04x
x = 2 / 0.04
x = 50
Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.
<u>Note:</u>
This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:
For equation (1):
RC = 25 + 0.14(50)
RC = 25 + 7
RC = 32
For equation (2):
BC = 23 + 0.18(50)
BC = 23 + 9
BC = 32
Therefore, RC = BC = 32 confirms the answer.
Answer:
Step-by-step explanation:
Put the values of x and y in the equations and solve the resulting system.
A(2) +(-3) = 5
A(2) +B(-3) = 20
__
The first equation tells the value of A:
2A = 8 . . . . add 3
A = 4 . . . . . .divide by 2
This and the second equation tells the value of B:
(4)(2) -3B = 20
-3B = 12 . . . . . subtract 8
B = -4 . . . . . . . divide by -3
The values of A and B are 4 and -4, respectively.
so first you need to find the slop between (1,3) and (4,5)
5-3/ 4-1 = 2/ 3= m
using that slope you put it into the slope intercept formula
y=mx+b
use the coordinate (2,-5)
-5= 2/3 (2)+b
-5= 1.33+b subtract 1.33 on both sides
-6.33=b
plug b and m into the slope intercept formula
ANSWER: y=2/3x-6.33