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2 years ago

Jessica bought 2 slices of pizza and a soda for $6.25. Alfredo bought 3 slices of pizza and a soda

Mathematics

2 answers:

Ira Lisetskai [31]2 years ago

4 0

Answer:

A) 2.50

Step-by-step explanation:

subtract 8.75 and 6.25 to get the cost of 1 pizza slice since Alfredo bought 1 more pizza than Jessica.

Savatey [412]2 years ago

3 0

Answer:

$2.50

Step-by-step explanation:

subtract $6.25 from $8.75 then you will get $2.50 .
to prove you will then say add the $2.50+$2.50 because jessica bought 2 slices , you will then get $5.00
you the then subtract $5.00 from the $6.25 and you will get $1.25 so that means the soda was $1.25
you then add your 2 slices of pizza price and the soda price , the answer should be $6.25

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: Which equations have an infinite number of solutions? Select all that apply. A -2(x - 2) + 3x = x - 4 B 2x + 4(x - 1) = 3(2x +

MissTica

Option C and Option D

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4 has infinite number of solutions

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4) has infinite number of solutions

<h3><u>Solution:</u></h3>

Given that we have to find the equations that has infinite number of solutions

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions.

If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

<h3><u>Option A</u></h3>

-2(x - 2) + 3x = x - 4

Multiply the terms inside the bracket

-2x + 4 + 3x = x - 4

x + 4 = x - 4

Thus this equation does not have infinite number of solutions

<h3><u>Option B</u></h3>

2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

$x = \frac{9}{2}$

Thus this equation has only one solution.

Thus this equation does not have infinite number of solutions

<h3><u>Option C</u></h3>

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

Thus this equation has infinite number of solutions

<h3><u>Option D</u></h3>

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

Thus this equation has infinite number of solutions

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3 years ago

ANSWER THIS MATH QUESTION

shusha [124]

Answer:

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Step-by-step explanation:

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Here we need to show that as per the instructions in the given table.

Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = $(1 + 0.01)^{2} - 1^{2} = 0.0201$ .

In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.

Hence, dividing Δy by Δx, we get, $\frac{0.0201}{0.01} = 2.01$ .

Let's examine this taking a smaller value.

If we take Δx = 0.001, then Δy = $1.001^{2} - 1^{2} = 0.002001$ .

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2 years ago

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Answer:

The number is -2

Step-by-step explanation:

step 1

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Remember that when multiply a number by its reciprocal, the result is 1

The reciprocal of 2/3 is 3/2

step 2

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step 3

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