Answer:
We also know that when you have the same numerator and denominator in a fraction, it always equals 1. For example: So as long as we multiply or divide both the top and the bottom of a fraction by the same number, it's just the same as multiplying or dividing by 1 and we won't change the value of the fraction.
Step-by-step explanation:
Answer:
52 ft²
Step-by-step explanation:
When you are calculating the amount of cardboard needed to make a box, you are trying to the the <u>surface area</u>.
The formula for surface area of a rectangular prism is:
SA = 2(lw + hl + wh)
The dimensions for the box are written l X w X h (length times width times height).
We know:
l = 4
w = 3
h = 2
The units for surface area is the unit squared. Feet squared is ft². Be sure the include the units.
Substitute these numbers into the formula. When solving, solve in the BEDMAS order (brackets, exponents, division and multiplication, addition and subtraction).
SA = 2(lw + hl + wh) u²
SA = 2((4*3) + (2*4) + (3*2)) ft² Multiply within each smaller bracket
SA = 2(12 + 8 + 6) ft² Add inside the brackets
SA = 2(26) ft² Multiply
SA = 52 ft² Final answer
Therefore 52 square feet of cardboard will be needed to make the box.
Answer:
A. √16
Step-by-step explanation:
A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.
From the options given, the only radical expression that has two perfect square is √16.
√16 consists of two perfect squares, which are 4 and 4.
4 can be expressed as 2 × 2.
Thus: √16 = √(2 × 2)(2 × 2).
Therefore, √16 consists of two perfect squares.
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
<h3>How long does it take to fill the dam?</h3>
Given that;
- Amount of water needed to fill the dam A = 30000 litres
- Pump rate r = 75 litres per minute
- Time needed to fill the dam T = ?
To determine how long it take to fill the dam, we say;
Time need = Amount of water needed ÷ Pump rate
T = A ÷ r
T = 30000 litres ÷ 75 litres/minute
T = 400 minutes
Note that; 60min = 1hrs
Hence,
T = 6hours 40minutes
Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.
Option B)6h 40min is the correct answer.
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Answer:
The projected average monthly rent plus maintenance fee is $4,100
Step-by-step explanation:
In the question, we are told that the percentage lease terms state that rent is 2% of sales over $100,000
Since sales is $190,000 projected,
the percentage will be 2% of 190,000
= 2/100 * 190,000 = $3,800
we now proceed to add the monthly maintenance fee
That will be $3,800 + $300 = $4,100
