Let's solve the equation step by step: 9 - 2x = 3(x + 2) First, distribute the 3 on the right side of the equation: 9 - 2x = 3x + 6 Now, let's simplify the equation by combining like terms: -2x - 3x = 6 - 9 -5x = -3 To solve for x, divide both sides of the equation by -5: x = -3 / -5 This simplifies to: x = 3/5 So, the solution to the equation is x = 3/5.
The median of a list of numbers is defined as the middle value when the numbers are arranged in numerical order. In other words, it is the value that divides the list into two equal halves, with an equal number of values above and below it. To find the median, you first arrange the numbers in increasing or decreasing order. If the list has an odd number of values, the median is the middle value. If the list has an even number of values, the median is the average of the two middle values.
The term "correlation" refers to a statistical measure that quantifies the relationship or association between two or more variables. It indicates the extent to which changes in one variable are associated with changes in another variable. Correlation does not imply causation, but it provides information about the direction and strength of the relationship between variables.The term "correlation" refers to a statistical measure that quantifies the relationship or association between two or more variables. It indicates the extent to which changes in one variable are associated with changes in another variable. Correlation does not imply causation, but it provides information about the direction and strength of the relationship between variables.
To find the result of 80 multiplied by 4/5, we multiply 80 by 4 and then divide the result by 5. 80 x 4 = 320 320 ÷ 5 = 64 Therefore, 80 x 4/5 is equal to 64. So, the correct answer is 64.
The term "relative frequency" refers to the proportion or ratio of a specific event or outcome occurring in relation to the total number of events or outcomes in a given experiment or set of data. It is a measure of how often an event or outcome occurs relative to the total number of trials or observations. For example, if we conduct an experiment with 100 trials and a specific event occurs 20 times, the relative frequency of that event would be 20/100 or 0.2 (or 20%). It represents the proportion of successful trials or occurrences in relation to the total number of trials. So, the correct answer is "The proportion of successful trials in an experiment."
To find the distance on the map that represents a given real distance, we need to divide the real distance by the scale factor. a) For a real distance of 10km: 10km / 2km = 5 So, on the map, 5cm represents a distance of 10km. b) For a real distance of 22km: 22km / 2km = 11 So, on the map, 11cm represents a distance of 22km. c) For a real distance of 7km: 7km / 2km = 3.5 So, on the map, 3.5cm represents a distance of 7km. Therefore, the correct answer is: a) 5cm b) 11cm c) 3.5cm
To calculate the sale price of the jacket, we need to subtract 15% of the normal price from the normal price. 15% of £42 = (15/100) * £42 = £6.30 Subtracting £6.30 from £42 gives us the sale price: £42 - £6.30 = £35.70 Therefore, the sale price of the jacket is £35.70. So, the correct answer is £35.70.
To estimate the number of times the biased coin will come up heads, we can multiply the probability of heads (0.4) by the number of times the coin will be spun (350). Estimated number of times it comes up heads = 0.4 * 350 = 140 Therefore, the estimated number of times the biased coin will come up heads is 140. So, the correct answer is 140.
a) The next three terms of the sequence are 19, 23, 27. b) The n-term rule for this sequence can be determined by observing that each term is obtained by adding 4 to the previous term. Therefore, the n-term rule is 4n - 1. c) To find the 100th term of the sequence, substitute n = 100 into the n-term rule: 4(100) - 1 = 400 - 1 = 399 Therefore, the 100th term of the sequence is 399. So, the correct answer is: a) 19, 23, 27 b) 4n - 1 c) 399a) The next three terms of the sequence are 19, 23, 27.
The term "transformation" refers to a change or alteration in form, appearance, structure, or nature. It involves a process of modifying or converting something from one state to another. In various contexts, transformation can refer to different types of changes. It can involve physical movement or repositioning, as well as more abstract changes such as shifts in perspectives, thoughts, or beliefs. Transformation can also describe the process of modifying data, objects, or systems to achieve a desired outcome or result.
a) Write 60% as a fraction: A) 3/5 b) Starting with the smallest, write the numbers below in order of size: 2/3, 0.6, 70%, 3/4 The correct answer is: A) 3/5 b) 2/3, 0.6, 70%, 3/4
a) 32 and 25 b) 32 c) 25 Therefore, the correct answer is: a) 32 and 25 b) 32 c) 25
10 is a multiple of 5.
The word "gradient" refers to the slope of a line or curve at a given point. It represents the rate at which the line or curve is changing in relation to the x-axis. The gradient is calculated by dividing the change in the y-values by the corresponding change in the x-values.
The term "hypotenuse" refers to the longest side of a right-angled triangle. In a right-angled triangle, which has one angle measuring 90 degrees, the side opposite the right angle is called the hypotenuse. The other two sides of the right-angled triangle are known as the adjacent side and the opposite side, which are connected to the non-right angles.
To determine the smallest number of buses needed to carry all the students, we divide the total number of students (800) by the capacity of each bus (34). 800 ÷ 34 = 23.529 Since we can't have a fraction of a bus, we need to round up to the nearest whole number because we can't have a partial bus. Therefore, the smallest number of buses needed to carry all the students is 24. So, the correct answer is 24.
