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Vlad [161]
3 years ago
13

A basketball stadium has 15 ,002 zero seats the lower level has 54 than three times as many seats as the upper level the middle

level has 40 more than twice as many seats as the upper level used to solve for x and found that the upper level has 2,502 sears
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

There are 7456 seats on the lower level and there are 5044 seats on the middle level.

Step-by-step explanation:

Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...

# of seats on the lower level = 3x - 50

# of seats on the lower level = 3(2502) - 50

# of seats on the lower level = 7456

Now we just make the equation for the number of seats on the middle level, and so we get...

# of seats on the middle level = 2x + 40

# of seats on the middle level = 2(2502) + 40

# of seats on the middle level = 5044

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mamaluj [8]

y\div2 > -21\\\\\dfrac{y}{2} > -21\ \ \ \ |\cdot2\\\\y > -42\to y\in(-42,\ \infty)

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Why is -2 1/2 × 5 2/3
faltersainse [42]
-85/6 or -14.17
first convert into improper fraction then multiply out
8 0
3 years ago
Solve the right angle trig. round to the nearest tenth.
Tresset [83]

Answer:

x ≈ 58.9

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • [Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing side length.

<u>Step 2: Identify Variables</u>

<em>POV from the angle measure</em>

Angle = 23°

Opposite Leg = 25

Adjacent Leg = <em>x</em>

<em />

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitution [tangent]:                    tan23° = 25/x
  2. Multiply <em>x</em> on both sides:                xtan23° = 25
  3. Isolate <em>x</em>:                                          x = 25/tan23°
  4. Evaluate:                                          x = 58.8963
  5. Round:                                             x ≈ 58.9
8 0
3 years ago
In hopes of encouraging healthier snacks at school, Bert brought in a tray of carrot sticks and apple slices to share. He brough
Oksi-84 [34.3K]

Answer:

40 %  of the snacks were carrot sticks.

Step-by-step explanation:

Total number of carrot sticks in lunch = 18

Total number of apple slices in lunch = 27

So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices

                                                  = 18 +  27 = 45

Now,

=

⇒Percentage of Carrot Sticks = 40%

Hence, 40 %  of the snacks were carrot sticks.

4 0
3 years ago
Find the area of the part of the plane 3x 2y z = 6 that lies in the first octant.
gavmur [86]

The area of the part of the plane 3x 2y z = 6 that lies in the first octant  is  mathematically given as

A=3 √(4) units ^2

<h3>What is the area of the part of the plane 3x 2y z = 6 that lies in the first octant.?</h3>

Generally, the equation for is  mathematically given as

The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:

A=\iint_{R_{x y}} \sqrt{f_{x}^{2}+f_{y}^{2}+1} d x d y(1)

The partial derivatives of a function are f x and f y.

\begin{aligned}&Z=f(x)=6-3 x-2 y \\&=\frac{\partial f(x)}{\partial x}=-3 \\&=\frac{\partial f(y)}{\partial y}=-2\end{aligned}

When these numbers are plugged into equation (1) and the integrals are given bounds, we get:

&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{(-3)^{2}+(-2)^2+1dxdy} \\\\&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{14} d x d y \\\\&=\sqrt{14} \int_{0}^{2}[y]_{0}^{3-\frac{3}{2} x} d x d y \\\\&=\sqrt{14} \int_{0}^{2}\left[3-\frac{3}{2} x\right] d x \\\\

&=\sqrt{14}\left[3 x-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3.2-\frac{3}{2} \cdot \frac{1}{2} \cdot 3^{2}\right] \\\\&=3 \sqrt{14} \text { units }{ }^{2}

In conclusion,  the area is

A=3 √4 units ^2

Read more about the plane

brainly.com/question/1962726

#SPJ4

5 0
2 years ago
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