MATHEMATICS
MIDDLE SCHOOL

Answer: 195 lbs.

150✖️.10=15

15✖️3=45

150+45=195

150✖️.10=15

15✖️3=45

150+45=195

HIGH SCHOOL

(x + 2)²

Given: (x + y)² = x² + 2xy + y²

ANSWER

EXPLANATION

We want to expand:

Using the identity:

We put y=2 into the identity to obtain;

This simplifies to:

Answer:

x² +4x +4

Step-by-step explanation:

Matching the expressions, you see you have y=2. Put 2 where y is and simplify.

(x +2)² = x² +2x(2) +(2)² = x² +4x +4

MIDDLE SCHOOL

Gunnar’s car gets 22.4 miles per gallon, and his gas tank can hold 17.82 gallons of gas. How many miles can Gunnar travel if he uses all of the gas in the gas tank?

Answer:

399.17 miles

Step-by-step explanation:

Gunnar's car gets 22.4 miles per gallon. His gas tank can hold 17.82 gallons of gas.

Gunnar's car travels with one gallon of gas = 22.4 miles

He can travel with 17.82 gallon of gas = 17.82 × 22.4

= 399.168 ≈ 399.17 miles

Gunnar can travel 399.17 miles if he uses all of the gas in the gas tank.

HIGH SCHOOL

What is the sum of the complex number 2+3i and 4+8i, where i=√-1?

2+3i+4+8i

2+4+3i+8i

6+11i

2+4+3i+8i

6+11i

MIDDLE SCHOOL

Change the following equation to slope, intercept form 3x-y=5. show your work

Answer:

y = -3x -5

Step-by-step explanation:

First subtract 3x from both sides

-y = 3x + 5

Then divide the - (1) from both sides

y = -3x - 5

^^^^ what he/she did seem ably right!