Answer: Nine less than two thirds of a quantity is smaller than one more than that same quantity.
Let x be the number of loaves of banana bread and y be the number of loaves of nyt bread Elena makes.
1. A loaf of banana bread requires 2 cups of flour and 2 eggs, then x loaves require 2x cups of flour and 2x eggs.
2. A loaf of nut bread takes 3 cups of flour and 1 egg, then y loaves require 3y cups of flour and y eggs.
3. Elena has 12 cups flour, then
2x+3y≤12.
4. Elena has 8 eggs, then
2x+y≤8.
5. If she makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, then she makes total profit of $(1.50x+2y).
The solution of system of two inequalities
is represented in the attached diagram.
The maximal profit can be obtained at point (3,2), where
Answer: correct choice is C (Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit)
Answer:
Similar - Top center, bottom left
Not similar, different shape - Top left, bottom right
Not similar, different ratio of side lengths - Top right, bottom center
Step-by-step explanation:
We can see automatically that the top left and bottom right are not similar because they are a triangle and a trapezoid, not a rectangle.
Top right is not similar because of its different ratio of sides. The ratio for the sides of the original rectangle is 3:7, while the ratio of the top right is 2:3.5 .
Bottom center is not similar because of its different ratio of sides as well, as its ratio is 6:12
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.
In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.
Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3
This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
Step-by-step explanation:
Given P=Rs.2,500,r=4%, N=2
CI=P(1+
100
R
)
2
−P=2,500(1+
100
4
)
2
−2,500=2,500(
100
2
104
2
−1)=
10,000
2,500×816
=Rs.204
SI=
100
P×T×R
=
100
2,500×4×2
=Rs.200
Difference=Rs.4
