Answer:
2,023
Step-by-step explanation:
P(8) = 25(8)²-24(8)+615
= 1600- 192 +615
= 2,023
Answer:
the lines are perpendicular. the reason it will be perpendicular is because its going to be intersected by those right angles.
Answer:
30.7 ft
Step-by-step explanation:
<em>An equilateral triangle with area 43.5 has a height of 8.68 not 8.5</em>
<em>I will do the problem as written even though it is not a possible equilateral triangle</em>
<em>---------------------------------------------</em>
a = (1/2)bh
43.5 = (1/2)b(8.5)
43.5 = 4.25b
b = 43.5/4.25
b = 10.2352941176
-----------------------
p = 3b
p = 3 * 10.2352941176
p = 30.7058823528
~ 30.7 ft
Given:
George<span>'s page contains twice as many typed words as Bill's page
</span><span>Bill's page contains 50 fewer words than Charlie's page
</span><span>each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220
Let Charlie's page be x.
Let Bill's page be x - 50
Let George's page be 2(x-50)
After 1 minute:
Charlie's page: x + 70
Bill's page: x - 50 + 70
George's page: 2(x-50) + 70
Difference between George's page and Charlie's page is 220.
[2(x-50) + 70] - (x + 70) = 220
2x - 100 + 70 - x - 70 = 220
2x - x - 100 + 70 - 70 = 220
x - 100 = 220
x = 220 + 100
x = 320
</span>Let Charlie's page be x. → x = 320
Let Bill's page be x - 50 → x - 50 = 320 - 50 = 270
Let George's page be 2(x-50) → 2(x-50) = 2(320-50) = 2(270) = 540
<span>Bill's page initially contained 270 words. </span>
Multiply both sides by 3
Simplify the numerators
Multiply both sides by 6
Simplify the numerator
Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6
Check your answer by plugging -6 in for the x in the original problem:
Plug in -6 for x
Change
to
so all denominators are the same
Change
to
for easier work
Subtract the numerators (4 - (-1) )
=
So,
x = -6 .