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dusya [7]
3 years ago
11

Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the e

quation y = 6 + x.
Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0

Answer:

Sample answer: No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam’s graph would be a straight line, but it would not pass through the origin.

Step-by-step explanation:

vazorg [7]3 years ago
5 0
<span>
</span>Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.
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A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E
Lina20 [59]

Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let \vec v = (25, 25\sqrt{3}), where \vec v is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (\theta), measured in sexagesimal degrees, is determined by trigonometrical means:

\theta = \tan^{-1}\frac{v_{y}}{v_{x}} (1)

If we know that v_{x} = 25 and v_{y} = 25\sqrt{3}, then the directional bearing of the boat is:

\theta = \tan^{-1} \sqrt{3}

\theta = 60^{\circ}

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

3 0
3 years ago
Read 2 more answers
Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each t
Doss [256]
Let
X-----------------> number of pansies
y-----------------> number of trees

we know that
x=15*8----------> x=120 pansies
y=8 trees

cost of each trees is----------> $<span>20.75
</span>cost of each pansies is------> $2.50/6------> $5/12

[<span>expression to find Katherine’s final cost]=[cost trees]+[cost pansies]
</span>[cost trees]=y*$20.75
[cost pansies]=x*($5/12)   

[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

[expression to find Katherine’s final cost]=$166+$50
[expression to find Katherine’s final cost]=$216

the answer is 
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

Katherine’s final cost is $216
5 0
3 years ago
Read 2 more answers
50% of a number is 32 <br> what is the number
Paladinen [302]

Answer:

64

Step-by-step explanation:

Half (50%) of 64 would be 32

6 0
3 years ago
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Which is greater 2.16 or 2.061
jenyasd209 [6]
2.16 is greater. To do this start from the left and compare the numbers. For example, 2 is the same in both but 1 is greater than 0, so the answer is 2.16.
6 0
3 years ago
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Many people enjoy challenging themselves by running in marathons. A marathon is a 26-mile race. The runners wear numbers that id
Rudiy27
First we clear y from the given equation
 x + 10y = 260
 10y = 260-x
 y = (260-x) / (10)
 Then, we evaluate the function within the domain of it
 x = 0
 y = (260- (0)) / (10)
 y = (260) / (10)
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 x = 10
 y = (260- (10)) / (10)
 y = (250) / (10)
 y = 25
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 Therefore, traveling 26 miles will take:
 (26) * (10) = 260 min
 answer
 it takes for the runner to reach the school 260min.
6 0
3 years ago
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