Answer: 24 servings
Step-by-step explanation:
First and foremost, we should note that:
4 cups = 1 quart
Therefore, 3 quarts = 3 × 4 cups = 12 cups
Since she uses 5 cups of milk to make 10 servings, it means that 1 cup of milk is used to make 2 servings. Therefore, 12 cups would be used to make:
= 12 × 2
= 24 servings.
Answer:
the answer is $864 pls give brainliest
Step-by-step explanation:
The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So 1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.
Answer:
Step-by-step explanation:
For the given piecewise function,
Let the equation of the segment AB is,
y = ax + 7 where x < -2
Since a point (-2, 3) lies on the given line,
3 = a(-2) + 7
3 - 7 = -2a
a = 2
Therefore, f(x) = 2x + 7 when x < -2
For the segment BC,
f(x) = 3 where -2 ≤ x ≤ 2
For the segment CD,
f(x) = bx + 9
Since a point (2, 3) lies on this segment,
f(2) = 2b + 9 = 3
2b = 3 - 9
b = -3
Therefore, equation of segment CD will be,
f(x) = (-3)x + 9 where x > 2
The surface area of a three dimensional object is the sum of the areas of all its faces. Here we have a net of triangular prism, which if we were to fold would form a three dimensional shape.
We need to find the area of each face. Let's begin with the rectangle in the center which can be found by calculating its length times width:
26 * 10 = 260 in^2
Next, let's find the area of the other two rectangles. Although it does not specify that these rectangles are congruent (meaning the same), we know that they are because if they were different sizes, the prism would not fit together when folded. We can find the area of one rectangle and multiply by two:
26 * 13 = 338
338 * 2 = 676 in^2
Lastly, we have two triangles which are congruent for the same reason as the rectangles. The area of a triangle can be found by calculating one-half the base time the height:
0.5 * 10 * 12 = 60
Times two since there are two triangles:
60 * 2 = 120 in^2
Add up the areas:
260 + 676 + 120 = 1056 in^2
Multiply the surface area by 6 because there are 6 packages:
1056 * 6 = 6336 in^2
The answer is C.
