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TiliK225 [7]
3 years ago
8

Please help me with Questions 1 and 3 thank you

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

1) In a proportion: y/x=k

k is your constant of proportionality.

x is your independent variable and y is your dependent variable.

Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.

So k=1.5   (3/2)

3)

a) y/x as a showed above. This question is very similar to #1.

b) y/x=k

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Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

y = mx+b

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

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Use the diagram to complete the table by matching the Theorem with the angle relationship.
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Answer:

The Table with Correct reasons are as follows.

Step-by-step explanation:

The Table with Correct reasons are as follows

       Answer                                                  Angle Relationship

c. Corresponding Angles                       ∠ 1 ≅ ∠ 5

d. Same Side Interior                             ∠ 4 + ∠ 5 = 180

a. Alternate Exterior Angles                    ∠ 3 ≅ ∠ 6

b. Alternate Interior Angles                    ∠ 4 ≅ ∠ 5

c. Corresponding Angles                       ∠ 2 ≅ ∠ 6

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3 years ago
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