Answer:
Ethan's balance at the end of the week is of $273.75.
Step-by-step explanation:
Ethan starts the week with a balance of $275.00 in his checking account.
This means that B = 275.
During the week, he uses his debit card to spend $27.50 on food, $12.00 at the movies, and $6.75 for music downloads.
This is subtracted from the balance. So
B = 275 - (27.50 + 12 + 6.75) = 228.75
He earns and deposits $45.00 for mowing lawns.
Adds 45, so
B = 228.75 + 45 = 273.75
Ethan's balance at the end of the week is of $273.75.
Answer:
A = 9p² - 25
Step-by-step explanation:
The side lengths were 3p. 5 was added to the length and subtracted from the width. This means that
l = 3p + 5
w = 3p - 5
Plug these values into the formula for the area of a rectangle.
A = lw
A = (3p + 5)(3p - 5)
A = 9p² - 25
The area of the rectangle is 9p² - 25.
Answer:
1.5 billion
Step-by-step explanation:
For this case what you should do is:
1) Multiplication of terms within parentheses correctly.
2) Rewrite the expression respecting power properties.
3) Add or subtract terms of equal power.
Note: See attached image.
Answer:
x ^ 3 + 3x ^ 2 -16x - 48 = 0
Answer:
1A: 29 units²
1B: √29 units
2, 3, 4. see below
5. between 8 and 8.5
Step-by-step explanation:
1A: Split the given square up into 4 triangles and a square in the centre. You'll get 4 triangles of sides 5 and 2, and a centre square of sides 3.
Area = 4(0.5)(5 x 2) + (3²) = 29 units²
1B: Square root your answer in 1A. √29 units
Alternatively you can use Pythagoras' theorem on one of the triangles. √(5² + 2²) = √29 units
2. The area is exactly 17 units, because the area of a square is the length of its side squared. (√17)² = 17, hence the square's area is 17 units.
3. A number that can be expressed as a fraction (includes whole numbers). E.g. 1/2, 1/7, 4
4. A number that cannot be expressed as a fraction. E.g. π, e, √3
5. Consider the closest square numbers to 70. 70 is closer to 64 than 81 (difference of 6 vs 11). Hence √70 should be closer to 8 than 9. Your answer should be between 8 and 8.5.
