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Kipish [7]
3 years ago
8

The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time

(x) at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. What is the equation that models the situation where x is the number of hours Jesse spends at the Robot Factory?
Mathematics
1 answer:
ipn [44]3 years ago
5 0
The answer is 2 and a half. Because 18 + 6 + 6 + 3 is 33. This is because $18 to get in then $6 for one hour another $6 for an hour and $3 for an half hour.
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Line I is parallel to line M. If the measure of 6 is 75 degrees, what is the measure of 3?
Doss [256]

In the given diagram, the measure of ∠3 will be 105°.

In the given diagram, ∠3 and ∠6 are consecutive interior angles.

<h3>How to form supplementary angles by transversal?</h3>

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.

That is,

∠3 + ∠6 = 180°

From the given information,

∠6 = 75°

Then,

∠3 + 75° = 180°

∠3 = 180° - 75°

∠3 = 105°

Hence, the measure of ∠3 will be 105°.

Learn more about the measures of angles here: brainly.com/question/2883630

#SPJ1

6 0
1 year ago
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Mademuasel [1]

We are given the function:

g(x) = 6 (4)^x

 

Part A.

To get the average rate of change, we use the formula:

average rate of change = [g(x2) – g(x1)] / (x2 – x1)

 

Section A:

average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) = 18

 

Section B:

average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) = 288

 

Part B.

288 / 18 = 16

Therefore the average rate of change of Section B is 16 times greater than in Section A.

 

<span>The average rate of change is greater between x = 2 to x = 3 than between x = 1 and x = 0 because an exponential function's rate of change increases with increasing x (not constant).</span>

8 0
3 years ago
The president of the student council wants to survey the student population about parking. She decides to use a random number ta
Advocard [28]

Answer:

0759, 1019

Step-by-step explanation:

Edge 2020/2021

3 0
3 years ago
Read 2 more answers
At the theater, tickets for adults cost $4.75
shutvik [7]
X+y= 26 and 4.75x + 2.25y= 83.50

y=26-x( substitute this into second equation for y and solve for x)

4.75x + 2.25(26-x)= 83.50

4.75x + 58.5-2.25x= 83.50

x= 10

Now solve for y by substituting your answer for x

10+ y= 26

y=16

Therefore, 16 tickets were purchased for kids and 10 for adults.

7 0
2 years ago
consider the line shown on the graph. enter the equation of the line in the form y=mx where m is the slope.
Amanda [17]

Answer:

y= 3x

Step-by-step explanation:

6 0
2 years ago
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