How do you translate The product of the difference of x and 3 and 4 into an algebraic expression

The sum of three numbers is 3. The first number minus the second plus the third is -3. The first minus the third is 1 more than

Rus_ich [418]

<u>Answer:</u> The first number is 2, the second number is 3 and the third number is -2

<u>Step-by-step explanation:</u>

Let the first number be 'x', the second number be 'y' and the third number be 'z'

The equations according to the question becomes:

⇒ x + y + z = 3 ....(1)

⇒ x - y + z = -3 ....(2)

⇒ x - z = 1 + y ....(3)

Rearranging equation 3:

⇒ x - y = 1 + z .....(4)

Putting in equation 2:

⇒ 1 + z + z = -3

⇒ 1 + 2z = -3

⇒ z = -2

Putting this value in equation 4 and equation 1, we get:

⇒ x - y = -1

⇒ x + y = 5

Cancelling 'y' by eliminiation method and equation becomes:

⇒ 2x = 4

⇒ x = 2

Putting value of 'x' and 'z' in equation 1:

⇒ 2 + y - 2 = 3

⇒ y = 3

Hence, the first number is 2, the second number is 3 and the third number is -2

5 0

3 years ago

Michael Perez deposited a total of $2000 with two savings institutions. Bank A pays interest at the rate of 6%/year, whereas Ban

Whitepunk [10]

Answer: He invested $1200 in bank A and $800 in bank B.

Step-by-step explanation:

Let x represent the amount deposited in bank A.

Let y represent the amount deposited in bank B

Michael Perez deposited a total of $2000 with two savings institutions. This means that

x + y = 2000

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested in bank A,

P = x

R = 6%

T = 1 year

I = (x × 6 × 1)/100 = 0.06x

Considering the amount invested in bank B,

P = y

R = 8%

T = 1 year

I = (y × 8 × 1)/100 = 0.08y

If Michael earned a total of $136 in interest during a single year, it means that

0.06x + 0.08y = 136 - - - - - - - - - - -1

Substituting x = 2000 - y into equation 1, it becomes

0.06(2000 - y) + 0.08y = 136

120 - 0.06y + 0.08y = 136

- 0.06y + 0.08y = 136 - 120

0.02y = 16

y = 16/0.02 = 800

x = 2000 - y = 2000 - 800

x = 1200

7 0

3 years ago

This box is 3/4 inches long, 1/2 inches wide, and 1/4 inches deep. What is the volume of the box ?

Ann [662]

Volume = length * width * depth
.. = (3/4 in) * (1/2 in) * (1/4 in)
.. = (3*1*1)/(4*2*4) in^3
.. = 3/32 in^3

6 0

3 years ago

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Help me with this for brainliest

Karo-lina-s [1.5K]

The area of the rectangle which is 28 square units is divided into two parts one is 4 square units and other one is 7 square units.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

The area of the larger rectangle = 28 square units

The area of the smaller rectangle = 4 square units

Let suppose the x be the area of the large rectangle

4x = 28

x = 7 square units

Thus, the area of the rectangle which is 28 square units is divided into two parts one is 4 square units and other one is 7 square units.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

5 0

1 year ago

Tanya has 2 red marbles, 5 blue marbles, and 9 green marbles. Which expression can be used to find the percent of Tanya's marble

blondinia [14]

Answer:

no habló español

Step-by-step explanation:

no habló español

5 0

3 years ago

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