Answer: y = 5x-3
Step-by-step explanation: Using y = mx+b, where m is the slope, and b is the y intercept, you just plug in 5 and -3.
Answer:
The point (5, -4) is a solution to the system because it satisfies both equations.
Step-by-step explanation:
4y = -3x - 1:
2y = x - 13
Answer:
Percent of markup is 34%
Step-by-step explanation:
Newprize(x) =30
Old prize(y) =22.29
Markup =
=0.34
Percent of markup is 34%
Answer: she should use 75 pounds of type B coffee.
Step-by-step explanation:
Let x represent the number of pounds of Type A coffee that Yoko should use.
Let y represent the number of pounds of Type B coffee that Yoko should use.
The blend is a mixture of Type A and Type B coffee. Type A coffee costs Yoko $ 5.55 per pound, and type B coffee costs $ 4.30 per pound. The total cost of the blend is $866.40. This means that
5.55x + 4.3y = 866.40 - - - - - - - - 1
Yoko made 173 pounds of the blend. This means that
x + y = 173
Substituting x = 173 - y into equation 1, it becomes
5.55(173 - y) + 4.3y = 866.40
960.15 - 5.55y + 4.3y = 866.40
- 5.55y + 4.3y = 866.40 - 960.15
-1.25y = - 93.75
y = - 93.75/-1.25
y = 75
x = 100 - y
x = 100 - 75 = 25
9514 1404 393
Answer:
7^5 = 16,807
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
Here, we have a=7, b=2, c=3, so ...
(7^2)(7^3) = 7^(2+3) = 7^5 = 16,807