We are given with the data of 490 milligrams of sodium content of burrito and 700 milligrams of sodium content of peanut butter sandwich. The total sodium consumption should be less than 4000 milligrams. We are told to represent he number of microwave burritos as x and the number of peanut butter sandwiches as y. The inequality equation thus is 490 x + 700 y ≤ 4000.
Answer:
see the explanation
Step-by-step explanation:
<u><em>Verify each case</em></u>
Part 1) The graph show two identical lines, then the system has infinitely many solutions
Part 2) The graph show two perpendicular lines.
Remember that the solution of the system is the intersection point both graphs
The intersection point is (2,6)
therefore
The system has one solution at (2,6)
Part 3) The graph show two intersecting lines at (-6,-2)
Remember that the solution of the system is the intersection point both graphs
The intersection point is (-6,-2)
therefore
The system has one solution at (-6,-2)
*The missing image is attached with the answer*
The correct answer is:
Height = h =5 unitsExplanation:a = 6 = Smaller base
b = 10 = Larger base
h = height
Area = A = (a + b)h/2 = 40
Plug in the values in the above equation:
h = (2*40)/(6+10)
h = 5 units
Answer:
x^2 - 3x - 18
Step-by-step explanation:
Just follow in terms of FOIL
First, outer, inner, last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%
