MATHEMATICS
MIDDLE SCHOOL

b = a - 5

What is a and b?

Answer: Since you have your b term, you can start off by plugging it in where b is in the first equation.

2a +3(a-5) = 5

Distribute the 3 to the "a" and -5.

2a + 3a - 15 = 5

Now you can combine your "a" terms

5a - 15 = 5

Next you want to get the "a" term alone so you can add 15 to both sides.

5a - 15+15 = 5+15

5a = 20

Now divide both sides by 5 to get your "a" value.

5a = 20

/5

a = 4

Now that you have your "a" value, all you have to do is plug your "a" value into either equation. I personally would choose the second equation since it's easier.

b= 4-5

b= -1

You can go back and check by plugging your answers back into the first equation as well!

2(4) + 3(-1) = 5

8 -3 = 5

5 = 5

a = 4 and b = -1

2a +3(a-5) = 5

Distribute the 3 to the "a" and -5.

2a + 3a - 15 = 5

Now you can combine your "a" terms

5a - 15 = 5

Next you want to get the "a" term alone so you can add 15 to both sides.

5a - 15+15 = 5+15

5a = 20

Now divide both sides by 5 to get your "a" value.

5a = 20

/5

a = 4

Now that you have your "a" value, all you have to do is plug your "a" value into either equation. I personally would choose the second equation since it's easier.

b= 4-5

b= -1

You can go back and check by plugging your answers back into the first equation as well!

2(4) + 3(-1) = 5

8 -3 = 5

5 = 5

a = 4 and b = -1

Answer:

The value of a= 4 and b= -1.

2a + 3b = 5 ...... equation i

b = a - 5 ....... equation ii

Put the value of b in equation ii into equation i

2a + 3b = 5

2a + 3(a - 5) = 5

2a + 3a - 15 = 5

5a = 5 + 15

5a = 20

Divide both side by 5

5a/5 = 20/5

a = 4

The value of a = 4

Since b = a - 5

b = 4 - 5

b = -1

The value of b is -1

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MIDDLE SCHOOL

Your weekly net income is $380. Your total budgeted monthly expenses $1.550,00. Do you have a surplus or deficit balance at the end of the month?

Answer: Deficit

Step-by-step explanation:

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

MIDDLE SCHOOL

ms rivera is planting flowers in her 1 meter long rectangular plant box. she divides the plant box into sections 1/9 meter in length,and plants 1 seed in each section . how many seed will she need for each plant box?

The plant box will have 9 sections, so 9 seeds are needed for the plant box.

_____

The meaning of the fraction 1/9 is that the whole is divided into 9 equal parts.

_____

The meaning of the fraction 1/9 is that the whole is divided into 9 equal parts.

HIGH SCHOOL

What is the halving and doubling stratergy to find 28x50

To solve this problem you must apply the proccedure shown below:

1. The halving and doubling is a multiplication strategy which is very useful to simplify products.

2. You have the following multiplication given in the problem above:

3. Then, by applying this strategy, you have that the double of 50 is 100 and the half of 28 is 14. Therefore, when you multiply them, you obtain:

Therefore, the answer is: .

MIDDLE SCHOOL

The total square footage of wall space to be painted is 300 square feet. If a gallon of paint covers 240 square feet, how many quarts of paint will be required for the project?

Answer:

You will need 5 quarts of paint to cover 300 square paint

Step-by-step explanation: