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aev [14]
2 years ago
13

Fill in the blank.

Mathematics
1 answer:
Marrrta [24]2 years ago
7 0

Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

20 * 6

Step-by-step explanation:

Given

Expression 1:  23 * 6 = (20 + 3) * 6

Expression 2:  23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property; The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6

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(a) Brenda saved $23.50.

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Step-by-step explanation:

Given:

Initial amount in the jar is, J(0)=\$20

Amount in the jar after a week or 7 days is, J(7)=\$23.50

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(a)

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Therefore, total money saved by Brenda is equal to the money saved at the end of the week. So,

Total money saved by Brenda = J(7)=\$23.50

(b)

The rate of change of a function is given as:

Rate=\frac{f(x_2)-f(x_1)}{x_2-x_1}

Here, x_1=0,x_2=7, f(x_1)=J(0),f(x_2)=J(7)

Therefore, the rate at which Brenda saves money is given as:

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Therefore, the rate at which Brenda is saving money is<u> </u>0.5 dollars per day.

(c)

A linear function is of the form f(x)=mx+b, where 'm' is the rate and 'b' is the initial value of the function.

Therefore, the linear function for the money saved by Brenda can be written as:

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