Answer:
A, C, D
Step-by-step explanation:
We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output
(A) 1*85-85
(B) 0.85*85 = 72.75
(C) 0.2*85 = 14
(D) 3.5*85 = 297.5
(E) 4* 85 = 340
A, C, and D match up
Answer: The salon charges $16 for a manicure and $25 for a pedicure.
Step-by-step explanation:
Let x represent the amount charged by the salon for a manicure.
Let y represent the amount charged by the salon for a pedicure.
Over the weekend, they performed 49 manicures and 16 pedicures, bringing in a total of $1,184 in receipts. It means that
49x + 16y = 1184- - - - - - - - - - 1
So far this week, they have administered 31 manicures and 33 pedicures, with receipts totalling $1,321. It means that
31x + 33y = 1321- - - - - - - - - - 2
Multiplying equation 1 by 31 and equation 2 by 49, it becomes
1519x + 496y = 36704
1519x + 1617y = 64729
Subtracting, it becomes
- 1121y = - 28025
y = - 28025/- 1121
y = $25
Substituting y = 25 into equation 1, it becomes
49x + 16 × 25 = 1184
49x + 400 = 1184
49x = 1184 - 400
49x = 784
x = 784/49
x = $16
Answer:
(1,2021)
Step-by-step explanation:
P and q can vary subject to their sum being 2020.
Consider one parabola with p1 and q1 and another with p2 and q2.
y1=(x1)^2+(p1)(x1)+(q1)
y1=(x2)^2+(p2)(x2)+(q2)
At their intersection, the x and y coordinates are the same.
y1=y2=y
x1=x2=x
x^2+(p1)x+(q1)=x^2+(p2)x+(q2)
Solve for x
x(p1-p2)=q2-q1
x=(q2-q1)/(p1-p2)
Use the constraint that p+q=2020 to eliminate p1 and p2.
p1=2020-q1
p2=2020-q2
x=(q2-q1)/(2020-q1-2020+q2)
x=(q2-q1)/(q2-q1)
x=1
Substitute in the equation for y.
y=1^2+p(1)+q
y=2021
Answer:
166 - 4 = 162
Step-by-step explanation:
Your question mad no sense !!
