Answer:
40 miles is her goal.
Step-by-step explanation:
The problem says that 24 miles is 60% of her goal for that month.
You cab make a proportion with x being the goal for the whole month.
24/x = 6/10
You cross multiply and get:
6x = 24 x 10
6x = 240
x = 40
40 miles is the answer.
Answer:
A
Step-by-step explanation:
Pick a letter that's easy to count. I chose Q, because it has a tail below the baseline that makes them easy to spot.
Not C or D — too many quarters
Not B — too many nickels
It is often easier to find the correct answer choice by eliminating the bad choices, then seeing if what is left is consistent with the problem statement.
Choice A seems to have the right numbers of pennies and dimes (along with quarters and nickels).
Step-by-step explanation:
(3x + 2y =19)(3)
-9x + 8y =-29
9x + 6y = 57 <em><u>NOTE</u></em><em><u>:</u></em> we cross here 9x in first
-9x + 8y = -29 we cross here - 9x in second
Since 9x and - 9x are opposite
___________
6y +8y = 57 - 29
14y = 28
Y=28/14
Y=2
Replace y in second equation of this system:
-9x + 8y = - 29
-9x +8(2)= - 29
-9x + 16 = - 29
-9x = -29 - 16
-9x = - 45
X= -45/-9
X=5
Hope this helps..
Answer:
(4, 1)
Step-by-step explanation:
x^2 + y^2 - 2y - 8x - 19 = 0
We rearrange the terms and complete the square twice.
x^2 - 8x + y^2 - 2y = 19
x^2 - 8x + 16 + y^2 - 2y + 1 = 19 + 16 + 1
(x - 4)^2 + (y - 1)^2 = 6^2
The center is (4, 1)
