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lesya692 [45]
3 years ago
11

John is buying food at the grocery store. He has made a list of 90 items that he needs to buy. He has bought 1/6 of the items. H

ow many items has he bought?
Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

15 is the correct answer

Step-by-step explanation:

because if you divide 90 by 6 its 15

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Factor The Polynomial X2+X-6
pickupchik [31]

Answer:

C) (x-2)(x+3)

Step-by-step explanation:

x^2+x-6=(x-2)(x+3)

Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6.

4 0
3 years ago
Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to
trasher [3.6K]
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2


abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.


d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
4 0
3 years ago
Mary buys 8 widgets for $40.00 she adds $1.00 in enhancements to each widget and sells them for $9.00 each. What is Mary's estim
Maslowich
The gross profit margin is calculated using the following rule:
gross profit margin = total profit / total sales

Now, we need to get the values of total profit and total sale:
total profit = <span>9*8-(40+8)=24$
total sales = 9*8 = 72$

Now, we will substitute in the above equation:
gross profit margin = 24/72 = 1/3 = 0.3333334
% = 0.33333334*100 = 33.3334%</span>
5 0
3 years ago
Which relationships describe angles 1 and 2?
coldgirl [10]
Supplementary angles because because angle 1 + angle 2 = 180° so they form a line
6 0
2 years ago
24 out of the 96 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in the meeting wer
Mila [183]
25%. 24/96= .25 = 25%
3 0
3 years ago
Read 2 more answers
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