Let the number of red, black, green and blue balls be R, B, G, U respectively.
B=R (There are as many black balls as red balls)
G+R=10 so G=10-R (Green balls and red balls should add up to 10)
R+10=U (There should be 10 more blue balls than red balls)
The minimal number of balls is 2, 304 so we have the following inequality:
R+B+G+U≥ 2,304
R+(R)+(10-R)+ (R+10)≥2,304
4R≥2,304
R≥2,304/4=576 so R=576
Answer: 576
<span>We are given with a 1150$ budget and an expense of $84 and $99 for each watch.
Let's say the number of watches = x
1150 = 84 + (99x)
1150 - 84 = 99x
(1150 - 84)/99 = x
Rounding down the answer, x or the number of watches is equal to 10 watches.</span>
Answer:
y=x
Step-by-step explanation:
The required matrix is:
![\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%2617%260%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We need to apply elementary row operation -2R₂+3R₁ tothe matrix:
![A=\left[\begin{array}{ccc}-3&5&2\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%262%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Multiplying Row 2 with -2 and Row1 with 3 and adding,
-9 15 6
-16 2 -6
----------
-25 17 0
After applying this operation, Row 1 will be changed while Row 2 will remain same because we get -2R₂+3R₁ -> R₁
The required matrix is:
Keywords: Matrices, elementary row operation
Learn more about matrices at:
#learnwithBrainly
Answer:
528000 ft²
Step-by-step explanation:
The Pyramid Arena has a shape of a square pyramid. A square pyramid is a pyramid with a square base and the top point is directly above the center of the base. It consist of 5 faces (base and 4 triangles), 8 edges and 5 vertices.
Given:
length of base (b) = 600 ft and height of lateral face (h) = 440 ft.
Since the lateral faces are made of glass, the area of each lateral face is the same as the area of a triangle with base same as base length and height same as height of lateral face.
Therefore, area of each lateral face = 1/2 × b × h = 1/2 × 440 × 600 = 132000 ft²
The lateral faces are made almost completely of glass and they are 4 lateral faces, therefore the total area of the glass in the Pyramid Arena = 4 × 132000 ft² = 528000 ft²
