A serving of walnuts is 2/3 of a cup. How many servings are there in a 5 1/3-cup bag of walnuts?

TEA [102]

Answer:

All real numbers

Step-by-step explanation:

The domain represents the x-coordinates, so you can see on the graph that it goes all the way out to both the left and right directions, meaning it covers all the negative numbers, and all the positive numbers. The question is trying to trick you into thinking about the range, but forget about the y-axis for this one.

6 0

3 years ago

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Last week, Max earned a total of $162 working at two jobs. He worked 6 hours at his grandfather's store and 10 hours at the loca

VMariaS [17]

The choices are missing but we can find the right equation from the given information

The equation that models this situation is 6 g + 10 m = 162

Step-by-step explanation:

The given is:

Max earned a total of $162 working at two jobs
He worked 6 hours at his grandfather's store
He worked 10 hours at the local movie theater
g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater

We need to write an equation models this situation

∵ g represents the hourly rate paid by Max's grandfather

∵ He worked 6 hours at his grandfather's store

∴ He earned from his grandfather = 6 × g = 6 g dollars

∵ m represents the hourly rate paid by the movie theater

∵ He worked 10 hours at the local movie theater

∴ He earned from the local movie theater = 10 × m = 10 m dollars

Add 6 g and 10 m to find his total earning

∵ His total earning = 6 g + 10 m

∵ Max earned a total of $162

- Equate his total earning by 162

∴ 6 g + 10 m = 162

The equation that models this situation is 6 g + 10 m = 162

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You can learn more about the linear equation in brainly.com/question/1284310

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6 0

3 years ago

Determine whether each equation below does or does not represent a proportional relationship. support your answer using either a

Triss [41]

Answer:

As the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship.
As the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship.

Step-by-step explanation:

Solving equation A: y = x 

Let us consider the given equation A:

y = x

Putting x = 1 in y = x

y = x

y = 1 ∵ x = 1

Hence, (1, 1) is the ordered pair of y = x

Putting x = 2 in y = x

y = x

y = 2 ∵ x = 2

Hence, (2, 2) is the ordered pair of y = x

Putting x = 3 in y = x

y = x

y = 3 ∵ x = 3

Hence, (3, 3) is the ordered pair of y = x

Putting x = 4 in y = x

y = x

y = 4 ∵ x = 4

Hence, (4, 4) is the ordered pair of y = x

Putting x = 5 in y = x

y = x

y = 5 ∵ x = 5

Hence, (5, 5) is the ordered pair of y = x

Lets us consider all the ordered pairs i.e. (1, 1), (2, 2), (3, 3), (4, 4) and (5, 5) to make a table for y = x.

y x

1 1

2 2

3 3

4 4

5 5

As from the table, lets take the ratio of every point i.e. y/x

For (1, 1), the ratio will be y/x ⇒ 1/1 = 1
For (2, 2), the ratio will be y/x ⇒ 2/2 = 1
For (3, 3), the ratio will be y/x ⇒ 3/3 = 1
For (4, 4), the ratio will be y/x ⇒ 4/4 = 1
For (5, 5), the ratio will be y/x ⇒ 5/5 = 1

Hence, the ratio for all the points on the equation y = x is same. Hence, the equation y = x REPRESENTS a proportional relationship. Please also check the graph in attached figure a.

Solving equation A: y = x +2

Let us consider the given equation A:

y = x + 2

Putting x = 1 in y = x + 2

y = x + 2

y = 1 + 2 ⇒ 3 ∵ x = 1

Hence, (1, 3) is the ordered pair of y = x + 2

Putting x = 2 in y = x + 2

y = x + 2

y = 2 +2 ⇒ 4 ∵ x = 2

Hence, (2, 4) is the ordered pair of y = x + 2

Putting x = 3 in y = x + 2

y = x + 2

y = 3 + 2 ⇒ 5 ∵ x = 3

Hence, (3, 5) is the ordered pair of y = x + 2

Putting x = 4 in y = x + 2

y = x + 2

y = 4 + 2 ⇒ 6 ∵ x = 4

Hence, (4, 6) is the ordered pair of y = x + 2

Putting x = 5 in y = x + 2

y = x + 2

y = 5 +2 ⇒ 7 ∵ x = 5

Hence, (5, 7) is the ordered pair of y = x + 2

Lets us consider all the ordered pairs i.e. (1, 3), (2, 4), (3, 5), (4, 6) and (5, 7) to make a table for y = x + 2.

y x + 2

1 3

2 4

3 5

4 6

5 7

As from the table, lets take the ratio of every point i.e. y/x

For (1, 3), the ratio will be y/x ⇒ 3/1 = 3
For (2, 4), the ratio will be y/x ⇒ 4/2 = 2
For (3, 5), the ratio will be y/x ⇒ 5/3 = 5/3
For (4, 6), the ratio will be y/x ⇒ 6/4 = 3/2
For (5, 7), the ratio will be y/x ⇒ 7/5 = 7/5

Hence, the ratio for all the points on the equation y = x+2 is not same. Hence, the equation y = x + 2 DOES NOT REPRESENT a proportional relationship. Please also check the graph in attached figure a.

Keywords: equation, graph

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6 0

3 years ago

The product of a non-zero rational number and an irrational number can always be written as A.a fraction. B.a terminating decima

a_sh-v [17]

The product of a non-zero rational number and an irrational number is irrational.
Therefore C is the answer.
A, B, and D are all properties of rational numbers. Irrational numbers are ones that can not be written as a ratio, or fraction, using whole numbers. They are non-repeating, non-terminating numbers. Example would be pi.

6 0

3 years ago

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Sandy bought 3/4 yard of ribbonand 2/3 yard of white ribbon how much ribbon did she but altogether

Neko [114]

To answer this you need to find the LCD (least common denominator) 2/3times4=8/12 and 3/4times3=9/12 and 9+8=17 then 17-12=5 so she bought 1 5/12 yards of ribbon

7 0

3 years ago