Final answer:
The slope of a line in general form can be found by rearranging the equation to solve for y. The x-intercept is obtained by setting y = 0 and solving for x, while the y-intercept is obtained by setting x = 0 and solving for y.
Explanation:
The slope of a line defined in general form by the equation Ax+By = C can be found by rearranging the equation to solve for y, resulting in y = (-A/B)x + (C/B). The coefficient of x, -A/B, represents the slope of the line. The x-intercept can be found by setting y = 0 and solving for x, resulting in x = C/A. Similarly, the y-intercept can be found by setting x = 0 and solving for y, resulting in y = C/B.
A trip from new york to seattle is 2852.1 miles. A family wants to make the drive in ten days, driving the same number of miles each day. About how many miles will they drive each day? Round your answer to the nearest tenth of a mile.
Answer:
285.2 miles per day.
Step-by-step explanation:
We have been given that a trip from New York to Seattle is 2852.1 miles. A family wants to make the drive in ten days.
To find the distance traveled by the family each day, we will divide total distance by 10 as:
[tex]\text{Distance traveled by the family each day}=\frac{2852.1\text{ miles}}{\text{ 10 days}}[/tex]
[tex]\text{Distance traveled by the family each day}=\frac{285.21\text{ miles}}{\text{day}}[/tex]
[tex]\text{Distance traveled by the family each day}\approx \frac{285.2\text{ miles}}{\text{day}}[/tex]
Therefore, the family will drive 285.2 miles per day.
The campsite shop sells boxes of Funshine Cereal.
The base of each box is a 180 mm x 60 mm rectangle.
The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle.
Work out the maximum number of boxes that will fit on the shelf.
Answer:D 3,888
Step-by-step explanation:
The 128 employees of a company volunteer 12,480 hours in 26 weeks. On average, how many hours do they all volunteer per weeks? On average, how many hours does each employee volunteer per week?
The company's employees volunteer an average of 480 hours per week in total, and each employee volunteers an average of 3.75 hours per week.
To calculate the average number of hours the employees of a company volunteer per week, you would divide the total hours volunteered by the number of weeks. So, the calculation for the average weekly volunteer hours for the entire company is 12,480 hours divided by 26 weeks, which is 480 hours per week.
To find out the average number of hours each employee volunteers per week, divide the weekly volunteer hours by the number of employees. Using the previous calculation of 480 hours per week for the entire company and dividing by 128 employees, you get an average of 3.75 hours per employee per week.
Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then finds the absolute value of his answer. What final value is greater? EXPLAIN
You use your mobile phone to phone home every day. It costs $15 per month and 18c per minute for phone calls.
How much will you have to pay for 420 minutes of calls including the monthly charge?
How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?
Final answer:
To find the number of terms in the arithmetic sequence 9, 2, −5, ..., −187, the formula for the nth term of an arithmetic sequence is used with the first term a1, common difference d, and the last term an. By solving an = a1 + (n - 1)*d for n, it is found that there are 29 terms in the sequence.
Explanation:
To determine how many terms are in the arithmetic sequence 9, 2, −5, ..., −187, we use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)*d where,
a1 is the first term,
d is the common difference, and
n is the number of terms.
For the given sequence:
a1 = 9 (the first term)
d = 2 - 9 = -7 (the common difference)
an = −187 (the last term)
We need to find the value of n that satisfies:
−187 = 9 + (n - 1)*(-7)
Solving for n gives us:
−187 - 9 = (n - 1)*(-7)
n - 1 = 28/7
n = 28 + 1
n = 28 + 1
n = 29
Therefore, there are 29 terms in the arithmetic sequence.
You are creating identical picnic baskets using 30 sandwhiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?
Evaluate n + 11 for n = 3.
A: 331
B: 33
C: 14
D: 8
What is 8.478 in expanded form
Based on the empirical rule, what percent of the observations will lie between plus or minus two standard deviations from the mean
Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 6. Instead, she subtracted 6 and then divided the result by 3, giving an answer of 35. What would her answer have been is she had worked the problem correctly?
Find the additive inverse of each number. 1. 15 2. – 27 3. 7 9 4. 9 16 5. 0 6. – 1
Which of the following is not considered one of the four basic types of auto insurance? a. Collision b. Bodily Injury c. Property Damage d. Legal Responsibility
Answer:
d. Legal Responsibility
Step-by-step explanation:
When purchasing auto insurance, "full coverage" insurance will include:
Collision coverage;
Bodily Injury coverage;
Property damage coverage;
and Comprehensive coverage.
Legal Responsibility is not one of these major types.
Legal Responsibility is not considered as the component of auto insurance because auto insurance only consists of collision, bodily injury, medical payment or personal injury protection and property damage liability. Therefore option (d) is correct.
Further Explanation:
Auto Insurance: It is a contract between two parties of which is the insurer, and the other one is insured. An insurer is a person who agrees to pay the insured in any unforeseen circumstances like accidents, thefts, property damage, etc. In case of auto insurance, the insurance company takes the responsibility of all the damages which are done to the holder of the auto or the auto, but it does not take the responsibility of any legal damage to the insured.
Learn more:
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Answer details:
Grade: Senior School
Subject: Business Studies
Chapter: Insurance
Keywords: Insurance, collision, bodily injury, insurance claims, legal responsibility, property damage, types of auto insurance, auto insurance, the insurance company, responsibility, damages, holder of the auto, legal damage to the insured, basic type of auto insurance, contract, between two parties, insurer, who agrees to pay, the insured.
A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the height, z, of the trapezoid. In your final answer, include all of the formulas and calculations necessary.
Answer:
2.11 cm
Step-by-step explanation:
As you can see in the picture I put the sides in the trapezoid. Now, let's use the area's formula:
A = [tex]\frac{(B+b)*h}{2}[/tex]
where B is the Largest parallel side, b the smallest parallel side and h is the height.
Now,
20 = [tex]\frac{(6z-1+2z+3)*z}{2}[/tex]
20 = [tex]\frac{(8z^{2}+2z}{2}[/tex]
20 = [tex]4z^{2}+z[/tex]
[tex]4z^{2}+z-20=0[/tex]
Then, we use the cuadratic formula z= [tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex] where a=4, b=1 and c=-20.
z= [tex]\frac{-1+-\sqrt{1-4(4)(-20)} }{8}[/tex]
z = [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]
z = [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]
z = [tex]\frac{-1+-17.91}{8}[/tex]
As we are searching lenght we choose the positive z value
z = [tex]\frac{-1+17.91}{8}[/tex]
z= [tex]\frac{16.91}{8}[/tex]
z = 2.11 cm.
which is greater 9.087 or 9.807
18+27 write the sum of the numbers as the product of their GCF and another sum
what is the height of a box with a volume of 50 cubic meters, length of 10 meters, and which of 2 meters
How much heavier is a 9 1/8 pound box than a 2 5/6 pound box
how to find domain and range in a graph and will give the bainliest to whoever explains to me on how to do it.
Select all that apply. (xyz)2 = _____ The expression without exponents is?
the states C&D spend a total of 55.6 million dollars for tourism the state C spends 3.2 million dollars more than State D find the amount that each state spends on tourism.
Which operation could we perform in order to find the number of milliseconds in a year? 60 * 60 * 24 * 7 * 365 1000 * 60 * 60 * 24 * 365 24 * 60 * 100 * 7 * 52 1000 * 60 * 24 * 7 * 52?
To find the number of milliseconds in a year, multiply the number of milliseconds in a day by the number of days in a year: 86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year.
Explanation:To find the number of milliseconds in a year, we need to multiply the number of milliseconds in a day by the number of days in a year. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 24 * 60 * 60 = 86,400 seconds in a day. And since there are 365 days in a year, we can calculate the number of milliseconds in a year as:
86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year
Which of the following is a factor of x^3-4x^2-18x+9
1.33 equals .002 divided by 6A. Solve for A?
Lana earned $49on friday $42 on saturday,and $21 on sunday selling bracelets she sold each bracelet for the same amount what is the most she could have charged for eac bracelet?
The most amount she could have charged for each bracelet is:
$ 7
Step-by-step explanation:It is given that:
Lana earned $49 on Friday $42 on Saturday,and $21 on Sunday selling bracelets.
Also, she sold each bracelet for the same price.
This means that if the maximum cost of each bracelet will be the greatest common divisor i.e. G.C.D. of the amount she earned each day.
which is G.C.D(49,42,21)=7
Hence, the answer is: $ 7
The large rectangle's dimension are three times the dimensions of the small rectangle.
Segment MN has endpoints at M(2,5) and N(-4,3). What is the midpoint of the segment?
To find the midpoint of segment MN, we can use the midpoint formula which states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints. Using this formula, we find that the midpoint of segment MN is (-1, 4).
Explanation:To find the midpoint of the segment MN, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.
Let's calculate the x-coordinate of the midpoint:
x-coordinate = (x1 + x2) / 2 = (2 + (-4)) / 2 = -2 / 2 = -1.
Now, let's calculate the y-coordinate of the midpoint:
y-coordinate = (y1 + y2) / 2 = (5 + 3) / 2 = 8 / 2 = 4.
Therefore, the midpoint of segment MN is (-1, 4).
Final answer:
The midpoint of the segment MN with endpoints M(2,5) and N(-4,3) is (-1, 4).
Explanation:
To find the midpoint of a segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
For segment MN with endpoints M(2,5) and N(-4,3), we can calculate the x-coordinate of the midpoint by averaging the x-coordinates:
(2 + (-4)) / 2 = -1
And we can calculate the y-coordinate of the midpoint by averaging the y-coordinates:
(5 + 3) / 2 = 4
Therefore, the midpoint of segment MN is (-1, 4).
Whats 526 divided by 8
twelve times the sum of a number and 2 is equal to 36. what is the number
If it costs 9.50 to buy a movie ticket what is the most number of tickets someone can buy for 40.00 and how much money is left over