Answer:
Take away 0.20 of the amount.

In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle

Suppose you wanted to estimate the difference between two population means correct to within 4.8 at the 92% confidence level. If prior information suggests that both population variances are approximately equal to 12 and you want to select independent random samples of equal size from the populations, how large should the sample sizes be?Critical Value: 1.75The sample sizes should be: n1=___n2=_____?

Stuck on letter b, please help

What is the solution of square root of-4x=100? x = –2500 x = –50 x = –2.5 no solution

In the drawing, what is the measurment of angle y?

Suppose you wanted to estimate the difference between two population means correct to within 4.8 at the 92% confidence level. If prior information suggests that both population variances are approximately equal to 12 and you want to select independent random samples of equal size from the populations, how large should the sample sizes be?Critical Value: 1.75The sample sizes should be: n1=___n2=_____?

Stuck on letter b, please help

What is the solution of square root of-4x=100? x = –2500 x = –50 x = –2.5 no solution

In the drawing, what is the measurment of angle y?

The caterer’s fixed **cost **and the rate per student served is $6 and $150

This method is actually called method of elimination to solve a system of linear **equations**.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the **equations** and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

then, if we want to eliminate variable x, then we have to multiply equation 1 with

which will make coefficient of x in first equation as

Then adding both equation will eliminate the variable x.

Given;

Cost of 100 students= $750

Cost of 150 students= %1050

Let the fixed **cost** of caterer be x

and the cost per student be y

x+100y=750...(1)

x+150y=1050...(2)

solving the above equations;

50y=300

y=6

x=750-600=150

The fixed **cost** is $150, while the per-student cost is $6.

Learn more about **linear** equations;

#SPJ5

**Step-by-step explanation:**

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

**Answer:**

**10**

**Step-by-step explanation:**

8+10+9+3=30. So, 40-30=10

Answer:10

Step-by-step explanation:

Add 9 to 10 to get 19, then add 3 to get 22, then add 8 to get 30.

**Answer:**

0.14*14= 1.96

**Step-by-step explanation:**

Must multiply 0.14 times 14 for the answer.

The events 'select a plain pencil' and 'select a color pencil' are independent. therefore the probability of both occurring is the product of their probabilities:

The answer is 3/20 or 0.15.

The answer is 3/20 or 0.15.

PEMDAS - Parenthesis, exponent, multiply, divide, add, subtract

In **mathematics**, the order of operations and mathematical conventions are vital to ensure the correct solution of equations. This includes principles like scientific notation for handling large or small numbers, and dimensional analysis for ensuring the validity of equations involving different units of measurement.

The **order of operations** and mathematical convention are fundamental in accurately solving mathematical equations or expressions. This involves following certain rules, such as the use of scientific notation or the principles of dimensional analysis, to ensure equations and operations are performed correctly and yield valid results.

Take for example scientific notation, used for expressing very large or small numbers. When multiplying two numbers expressed in scientific notation, the process is simplified: you multiply coefficients and add exponents. E.g., (3 × 105) × (2 × 109) = 6 × 1014.

Alternatively, dimensional analysis is a technique used to check the validity of equations involving mathematical operation on quantities. It works on the premise that the units of these quantities have to undergo the same mathematical operations as their numbers. This ensures consistency and coherence of dimensions and units in the expression or equation, preventing impossible situations such as adding length to time.

#SPJ12

Without additional information such as the location of point B along line segment AC, or the distances from B to either A or C, it is impossible to determine the distance between points A and B based on the provided details.

The problem here is lacking some necessary information to accurately determine the distance between points A and B. Given that **AC is a straight line segment** and the **distance between A and C is 67 miles**, we still need further details to conclude the distance from A to point B, such as knowing the position of point B along segment AC, or the distances from B to either A or C. Without these specifics, it's impossible to determine the distance between points A and B based upon the given information.

#SPJ3