Answer:
0.6 cups of sugar and 1.25 cups of chocolate chips
Step-by-step explanation:
We can begin to solve this problem with a simple proportion:
= 
= 
(x = the new # of sugar y = new # of chocolate chips)
In order to keep everything proportional, we must abide by the scale factor shown with the the flour.
Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.
We can see that the scale factor is one half, so
x = 1.2 * 0.5
and
y = 2.5 * 0.5
This means that:
x = 0.6
y = 1.25
This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.
Answer:
40
Step-by-step explanation:
area of shaded region = area of whole figure - area of non shaded region
area of whole figure: The whole figure is a rectangle
The area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 10ft and the given length is 8ft
Hence area of whole figure = 10 * 8 = 80ft²
Area of non shaded region: the non shaded region also creates a rectangle
Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 5ft and the given length is 8ft
Hence, area of non shaded region = 5 * 8 = 40ft²
Finally we can find the area of the shaded region.
We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure
If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40
Then, area of shaded region = 80 - 40 = 40ft²
Answer:
C
Step-by-step explanation:
We want to determine the vertex of the quadratic equation:
Recall that the vertex is given by the formulas:
In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.
Determine the <em>x-</em>coordinate of the vertex:
To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:
In conclusion, the vertex of the quadratic equation is (1, 2).
Hence, our answer is C.
Given:
The polynomials are:
To find:
The completely simplified sum of the polynomials.
Solution:
We have,
The sum of given polynomials is:
Therefore, the sum of the given polynomials is 
. It is a polynomial with degree 6 and leading coefficient -2.
That means you first calculate divide and multiply and at the and plus and minus.
So
12 / 2 + 4 - 2 x 3 =
6 + 4 - 6 = 4
