MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

16

Step-by-step explanation:

-(-4) needs to be evaluated first, according to Order of Operations rules.

So we have 12 -(-4) = 12 + 4 + 16

Answer:

Answer:

The answer should have a positive sign.

Step-by-step explanation:

Order of operations

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

from left to right.

12-(-4)

First you add.

12+4=16

16 is the correct answer.

I hope this helps you!

Have a nice day! :)

MIDDLE SCHOOL

A line passes through the points R(-1,2) and S(1,-6). write the equation of the line through point A(2,0)that is parallel to line RS A.y=4x-8

B.y=-4x+2

C.y=-4x+8

D.y=4x+2

MIDDLE SCHOOL

What is the value of x om the equation: x/5 - 4 = 2 - 2x/5

Rearrange so x/5 + 2x/5 = 6

Factorise so x(1/5 + 2/5) = 6

x = 6/(3/5)

x = 10

Factorise so x(1/5 + 2/5) = 6

x = 6/(3/5)

x = 10

MIDDLE SCHOOL

a lady purchased a question for $68 if the jacket was on sale for 20% off what was the original price of the jacket

Answer:

$85

Step-by-step explanation:

100%-20%=80% and 80% = 0.8

So,

0.8x=68

x=85

85$ because if you multiply 85 by .20, you get 17. Then you can subtract 17 from 85 to get 68.

MIDDLE SCHOOL

There are 33 students in the Chess Club. There are five more boys than girls in the club. Write and solve a system of equations to find the number of boys and girls in the Chess Club. My question is this, do I have the right equation to figure this problem?

Boys 5(x) =33

Girls = x

x+5(x)=33

6x =33

6/6. 33/6

x=5.5 this is where I'm lost. What do I do next? Or, do I have it all wrong?

There are 33 students in the Chess Clubs. There are 5 more boys than girls in the club.

Now, the equation will be like this

girls = x

boys = x + 5

x + 5x = 33

let’s solve for X

=> x + (x + 5) = 33

=> 2x + 5 = 33

=> 2x = 33 - 5

=> 2x /2 = 28 / 2

=> x = 14

Thus the number are:

girls = 14

boys = 14 + 5 = 19

=> 19 + 14 = 33

Now, the equation will be like this

girls = x

boys = x + 5

x + 5x = 33

let’s solve for X

=> x + (x + 5) = 33

=> 2x + 5 = 33

=> 2x = 33 - 5

=> 2x /2 = 28 / 2

=> x = 14

Thus the number are:

girls = 14

boys = 14 + 5 = 19

=> 19 + 14 = 33

COLLEGE

oseph and Alex each qualify for a $0 down payment and 3.5% interest on a car loan. Joseph makes a down payment on the car, but Alex does not. How will their choices affect each person's loan?

Answer:

Joseph and Alex each qualify for a $0 down payment and 3.5% interest on a car loan.

Joseph makes a down payment on the car, means his loan amount will be less as he has already paid some amount. Whereas Alex did not paid any down payment so his loan amount will be the total car amount.

Then, despite having the same interest rates, Joseph will have less monthly installments as his loan amount is less. While Alex will have to pay more monthly payment as his loan amount is high.

For the same loan period, Joseph's payments will be lower, and his total cost will be lower than those for Alex's loan.

MIDDLE SCHOOL

what is the area rounded to the nearest 10th of square inch of an equal lateral triangle that has a perimeter of 24 inches

Answer:

A = 27.7

Step-by-step explanation:

Knowing that an equilateral triangle has 3 equal side lengths, we can create our area and perimeter equations! x will be one of the side lengths

- P = x + x + x

- P = 3x

- A = (1/2)(b*h)
- all angles are 60
- Using angles: sin(60) =
- A =

P = 3x = 24

x = 8

A =

A = 27.7

MIDDLE SCHOOL

What is the solution set for 6x-(3x+4)=x-40

First, open the parentheses (make sure you distribute the '-':

6x - 3x - 4 = x - 40

3x - 4 = x - 40

2x = -36

x = -18

The solution set is {-18}

6x - 3x - 4 = x - 40

3x - 4 = x - 40

2x = -36

x = -18

The solution set is {-18}

Answer:

x = 22

Step-by-step explanation:

6x - (3x + 4) = x - 40

6x - 3x - 4 = x - 40

MIDDLE SCHOOL

corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?

Complete Question:

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

Answer:

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

Step-by-step explanation:

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

If 'v' is constant,

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.

MIDDLE SCHOOL

What is the decimal form of 6 1/2

Answer:

You have to do 6 x 2 and then add 1 to get 13. 13 is the answer

Step-by-step explanation:

Answer:13.13

Step-by-step explanation: you need to do 6 x 2 and then add one