Answer:30 tacos and 70 burritos
Step-by-step explanation:
inequality 1: y≤110−x shade down
inequality 2:y≥80− 1/2x Shade up
Answer (30,70)
Answer:
The amount of money Russel gets is $80
The amount of money Sara gets is $200
The amount of money Terry gets is $320
Step-by-step explanation:
Let
x -----> amount of money Russel gets
y -----> amount of money Sara gets
z -----> amount of money Terry gets
we know that
x/y=2/5 -----> x=(2/5)y ----> equation A
x/z=2/8 ----> x=(2/8)z ----> equation B
y/z=5/8 ----> y=(5/8)z ---> equation C
z=y+120 ----> equation D
Substitute equation D in equation C and solve for y
Multiply by 8 both sides to remove the fraction
Find the value of z
Find the value of x
therefore
The amount of money Russel gets is $80
The amount of money Sara gets is $200
The amount of money Terry gets is $320
This problem is a real bear. Whoever wrote it has a sense of humor, and expects
a lot from you ... probability, permutations, combinations, and geometry.
<u>First, let's talk about probability:</u>
The probability of something happening is (the number of outcomes that meet your description) divided by (the total number of all possible outcomes).
<u>#62:</u>
There are 4 points on the drawing. How many different ways could you pick
two of them ?
The first one you pick could be any one of 4 points.
For each of those, the other point could be any one of the remaining 3.
So the total number of ways to pick 2 points out of 4 is (4 x 3) = 12 ways.
But wait ! Whether you pick 'A' and then 'C', or pick 'C' and then 'A', you still wind up with the same two points. So, although there are 12 ways to pick them, there are only 6 different distinct pairs of points.
OK. How many of those pairs are collinear ? ANY two points lie on the same line, because a line can always be drawn between any two points. So out of the 6 different possible pairs of points, ALL 6 pairs are collinear. The probability of picking a pair that are collinear is 100% .
<u>#63:</u>
There are 4 points on the drawing. How many different ways could you pick
three of them ?
The first one you pick could be any one of 4 points. For each of those ...
The second point could be any one of the remaining 3. For each of those ...
The third point could be either one of the remaining 2.
So the total number of ways to pick 3 points out of 4 is (4 x 3 x 2) = 24 ways.
But
wait ! Whether you pick ABC, ACB, BAC, BCA, CAB, or CBA, you still wind up with the same three points. So, although there are 24
ways to pick them, there are only 4 different distinct sets of three points.
OK. How many sets of 3 points in this drawing are collinear ?
There is only one ! ONLY A, B, and C are collinear.
Probability = 1 out of 4 = 1/4 = 25 percent .
<u>#64:</u>
In the last problem, we saw that there are 4 distinct sets of three points.
How many of them are coplanar ?
They ALL are. A plane can be drawn through ANY three points.
So whichever three points you pick, they are coplanar.
The probability is 4 out of 4 = 100 percent.
Thank you for your 5 points. I shall cherish them.
Given that she slides at a rate of 8m/s and that she was 5 m of the ground after 3 seconds, the number of seconds it takes her to reach the ground from the current position is given by:
Therefore, the number of seconds it takes her to slide to the ground from the top is given by:
Answer:
A. Two triangles and one rectangle.
Step-by-step explanation:
A regular hexagon has all six sides to be equal in length. The sum of its interior angle can be determined by:
sum of angles = (n - 2) x 180
So that some series of different shapes can be produced from the polygon. In the given hexagon, the minimum number of shapes that can be produce is 3 which are; 2 triangles and a rectangle.