What is 80 of 40?
To find 80% of 40, you can use a simple formula. First, convert the percentage into decimal form. So, 80% becomes 0.8. Then, multiply that decimal by the number you want to find the percentage of, in this case, 40. Here’s the math: 0.8 × 40 = 32 So, 80% of 40 is 32. This […]
What value of x is in the solution set of 23x + 14x = 6?
To solve the equation 23x + 14x = 6, we first combine the like terms on the left side. This gives us: 37x = 6 Next, we isolate x by dividing both sides of the equation by 37: x = 6 / 37 Thus, the value of x in the solution set is 6/37.
What is 3/4 of 16?
To find 3/4 of 16, you will need to multiply 16 by 3/4. Here’s how it works: First, multiply 16 by 3: 16 × 3 = 48 Next, since we are working with 3/4, we need to divide the result by 4: 48 ÷ 4 = 12 So, 3/4 of 16 is 12. This means […]
A rectangular lot is 275 feet deep and it contains 23 of an acre. What is the length of the lot?
To find the length of the rectangular lot, we can use the formula for the area of a rectangle, which is: Area = Length × Width In this case, the width is the depth of the lot, which is 275 feet. We also need to convert 23 of an acre to square feet for our […]
What is 20% of 16?
To calculate 20% of 16, you can use a simple mathematical formula. First, convert the percentage to a decimal by dividing it by 100. So, 20% becomes 0.20. Next, multiply this decimal by the number you want to find the percentage of. In this case, you multiply 0.20 by 16: 0.20 x 16 = 3.2 […]
How do you express 0001 in the form of p q?
To express the binary number 0001 in the form of p and q, we need to understand the context of these variables. In many mathematical or logical expressions, p and q can represent boolean values. In this case, let’s set p as false (0) and q as true (1). Therefore, we can represent 0001 as: […]
Find the next three terms of the sequence 3, 9, 27, 81
To find the next three terms of the sequence 3, 9, 27, 81, we first need to identify the pattern in the sequence. Looking at the given terms: 3 (which is 31) 9 (which is 32) 27 (which is 33) 81 (which is 34) We can observe that each term is obtained by multiplying the […]
Is x + 8 a factor of the function f(x) = 2x³ + 17x² + 64? Explain.
To determine if x + 8 is a factor of the polynomial f(x) = 2x³ + 17x² + 64, we can use the Factor Theorem. According to this theorem, a polynomial p(x) has a factor of x – c if and only if p(c) = 0. In our case, since we have x + 8, […]
What is the value of x: 2 units, 3 units, 5 units, 8 units?
To find the value of x when given the options of 2 units, 3 units, 5 units, and 8 units, we need more context or a specific equation to work from. If this is a problem related to a mathematical function or a geometric figure, please provide additional details. However, if it’s a question about […]
What is the rule for adding integers with different signs?
When adding integers with different signs, the rule is to find the difference between their absolute values and use the sign of the integer with the larger absolute value. For example, if you want to add -5 and 3, you first look at the absolute values, which are 5 and 3. The difference between 5 […]