MATHEMATICS
HIGH SCHOOL

Answer: We know that

by using proportion

the answer is

by using proportion

the answer is

Answer: Number of miles that can be traveled on one gallon of gas=311/12

=25.92miles

=25.9miles(to the nearest tenth)

=25.92miles

=25.9miles(to the nearest tenth)

MIDDLE SCHOOL

Write the result of (4+9i)(7-4i) in a+bi form

Answer:

Step-by-step explanation:

Given the Complex numbers multiplication:

You need to follow these steps:

1. Apply Distributive property:

2. You need to remember that:

Then, you need to substitute :

3. Finally, add the like terms:

ANSWER

EXPLANATION

The given complex number expression is:

We expand using the distributive property to get;

Recall that,

Our expression now simplifies to:

MIDDLE SCHOOL

Given 2x+y=6 perform the necessary operations to put equation into the proper general form.Explain in complete sentences how you knew that the equation was a proper general form

Answer:

2x + y -6 = 0

Step-by-step explanation:

The general form is . It requires that A and B be greater than 1 (not fractions or decimals) and A is positive. This equation is 2x + y = 6 is almost already in the form. Subtract C to both sides to make it general form. 2x + y - 6 =0. The coefficients of the x and y are greater than 1 and 2 is positive. This meets the requirements.

MIDDLE SCHOOL

The sum of numbers x,y, and z is 50.The ratio of x to y is 1:4,and the ratio of y to z is 4:5.what is the value of y?

Ratio of x to y to z is 1:4:5.

1+4+5= 10

10 units= 50

1 unit= 5

4 units= 5x4= 20

Ans: Y is 20.

1+4+5= 10

10 units= 50

1 unit= 5

4 units= 5x4= 20

Ans: Y is 20.

MIDDLE SCHOOL

River C is 300 Miles Longer than River D. If the sum of their lengths is 5,570 miles, what is the length of each river?