1. Find the solution of each equation from the given numbers.
Y/9 = 32; 261, 279, or 288
2. A bowling bowl has a mass of 5.54 kg. A bowling pin has a mass of 1.58 kg. About how many pins are equal in mass to one ball.
3. An elevator has a maximum lift of 2,000 lb. you are moving 55-lb boxes of books. Write an equation and estimate how many boxes you can safely place on the elevator.
4. Equation can be true or false. Can an expression like 2a + 7 be true or false ? Explain.
5. The average precipitation for Houston is 1.5 times the average for Detroit. Find the average precipitation for Detroit.
1. Which of the three numbers equal 32 when divided by 9 ?
I will assume you have a calculator.
2. What is 5.54/1.58 ? Round to nearest whole number
3. What is 2000/55 ? Should you also consider your own weight or do the boxes ride the elevator by themselves?
4. The given expression is not an equation, so your question does not apply
5. It would be 2/3 of the precipitation of Houston
1. To find the solution to the equation Y/9 = 32, we can solve for Y. To isolate Y, we can multiply both sides of the equation by 9. This gives us:
Y = 9 * 32
Calculating this:
Y = 288
So, the solution to the equation Y/9 = 32 is Y = 288.
2. To determine how many bowling pins are equal in mass to one bowling ball, we can divide the mass of the bowling ball by the mass of a single bowling pin.
Mass of bowling ball = 5.54 kg
Mass of bowling pin = 1.58 kg
To get the number of bowling pins equal to the mass of one ball, we divide the mass of the ball by the mass of a pin:
Number of pins = Mass of ball / Mass of pin
Number of pins = 5.54 kg / 1.58 kg
Calculating this:
Number of pins ≈ 3.51
So, approximately 3.51 bowling pins are equal in mass to one ball.
3. To determine how many boxes of books can be safely placed on the elevator, we need to divide the maximum lift capacity of the elevator by the weight of each box.
Maximum lift capacity of the elevator = 2,000 lb
Weight of each box = 55 lb
To find the maximum number of boxes, we divide the maximum lift capacity by the weight of each box:
Number of boxes = Maximum lift capacity / Weight of each box
Number of boxes = 2,000 lb / 55 lb
Calculating this:
Number of boxes ≈ 36.36
So, you can safely place approximately 36.36 boxes on the elevator. Since you cannot have a fraction of a box, you would likely round down, so you would be able to place a maximum of 36 boxes on the elevator.
4. An expression, such as 2a + 7, cannot be simply true or false itself. It is an algebraic expression and represents a general mathematical calculation. It can only be true or false when specific values of 'a' are substituted into the expression.
For example, if we assign a value such as a = 5, then the expression would evaluate to:
2(5) + 7 = 10 + 7 = 17
In this case, the expression is true. However, if we assign a different value, such as a = -3:
2(-3) + 7 = -6 + 7 = 1
In this case, the expression is false. Therefore, an expression like 2a + 7 can have varying truth values depending on the specific value of 'a' that is substituted into it.
5. Let's say the average precipitation for Detroit is 'x'. According to the given information, the average precipitation for Houston is 1.5 times the average for Detroit. Therefore, we can express the average precipitation for Houston as 1.5x.
So, the equation that represents the relationship is:
1.5x = average precipitation for Houston
To find the average precipitation for Detroit, we need to isolate 'x' in the equation:
x = (average precipitation for Houston) / 1.5
Therefore, the average precipitation for Detroit is (average precipitation for Houston) divided by 1.5.