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OleMash [197]
3 years ago
11

PERSON WHO GETS THIS RIGHT WILL GET A LOTTT OF POINTS 60+

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

a.

x = cost of adult ticket

y = cost of student ticket

cost of adult ticket is twice the cost of a student ticket

x = 2y

number of adult tickets = 64

number of student tickets = 132

cost of all adult tickets = 64x

cost of all student tickets = 132y

cost of all adult and student tickets combined: 64x + 132y

cost of all adult and student tickets combined: 1040

This gives us the equation:

64x + 132y = 1040

b.

Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.

64(2y) + 132y = 1040

128y + 132y = 1040

260y = 1040

y = 1040/260

y = 4

x = 2y = 2(4) = 8

adult ticket: $8

student ticket: $4

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Two metal disks, one with radius r = 2. 50 cm and the other with radius r = 5. 00 cm are welded together and
vova2212 [387]

The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

<h3>What is moment of inertia?</h3>

Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

Using the formulas to calculate the moment of inertia of a solid cylinder:

I = ½MR²

Where;

I = moment (kgm²)

M = mass of object (Kg)

R = radius of object (m)

Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)

That is;

I = ½M1R1 + ½M2R2

According to the provided information;

R1 = 2.50cm = 0.025m

M1 = 0.800kg

R2 = 5.00cm = 0.05m

M2 = 1.70kg

I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)

I = (½ × 0.0005) + (½ × 0.00425)

I = (0.00025) + (0.002125)

I = 0.002375

I = 2.375 × 10-³ Kgm²

Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

To know more about moment of inertia follow

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4 0
2 years ago
A flood a creek's water level changes by −4 7/10 feet in 2 hours. What is the average change in the creek's water level per hour
neonofarm [45]

Answer:

-2.35

Step-by-step explanation:

Divide -4.7/2 = -2.35

8 0
2 years ago
A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ba
Lelechka [254]

Answer:

The maximum height of the ball was 2.5 seconds after it was thrown.

Step-by-step explanation:

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3 years ago
Which rule matches the function shown on the table?
irina [24]

Answer:

First of all the rate of change is -2, so the answer would be y = x - 2

6 0
3 years ago
The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.
Andrew [12]

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as \frac{y_2-y_1}{x_2-x_1}.  Plugging in the following values would provide you with:

\frac{(r)-(-5)}{(5)-(2)} =2

\frac{r + 5}{3}  = 2

r + 5 = 6

r = 1

Hope it helps :) and let me know if you want me to elaborate on anything.

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