What’s 3x+6y=12 in the form y=mx+b
When a coordinate grid is superimposed on a map of harrisburg the highschool is located at (17,21) and the town park is located at (28,13) . If each unit represents 1 mile, how many miles apart are the highschool and the town park? round your answer to the nearest tenth
To find the distance between the high school at (17,21) and the town park at (28,13), use the distance formula which yields a result of approximately 13.6 miles apart, rounded to the nearest tenth.
When looking at the coordinates of the high school at (17,21) and the town park at (28,13) on a coordinate grid where each unit represents 1 mile, we need to use the distance formula to calculate the distance between the two points. The distance formula is derived from the Pythagorean theorem and is given by:
[tex]Distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Substituting the values -
[tex]Distance = \sqrt{{(28 - 17)^2 + (13 - 21)^2}[/tex]
Calculate the differences and square them:
Distance = [tex]\sqrt{{(11)^2 + (-8)^2}\\[/tex]
Distance = [tex]\sqrt{{121 + 64}[/tex]
Distance = [tex]\sqrt{{185[/tex]
Take the square root to find the distance:
Distance = 13.6 miles
Therefore, the high school and the town park are approximately 13.6 miles apart, rounded to the nearest tenth.
The sum of two consecutive numbers is 95. What are the two numbers?
[tex]\huge{\boxed{47}}\ \ \huge{\boxed{48}}[/tex]
First, represent the situation with numbers and variables. The first number will be [tex]x[/tex] and the second number will be [tex]x+1[/tex]. [tex]x+x+1=95[/tex]
Combine like terms. [tex]2x+1=95[/tex]
Subtract 1 on both sides. [tex]2x=94[/tex]
Divide both sides by 2. [tex]x=\boxed{47}[/tex]
Find the second number. [tex]x+1\ =\ 47+1\ =\ \boxed{48}[/tex]
Is 3.2 a rational number?
When 12.393 and t are added together, the result is 20.463. What is the value of t?
how many integers are greater than 9 37 and less than 37 9
How do you determine if a set of ordered pairs is a function or not?
(6.5/2) to the second power. Simplify
How do you join the bar you left weighs 45 pounds you add weight to the bar that are 10 pounds each if you add six weights to the bar how many pounds will you left
Advantage Airlines has a set fee for each checked bag, plus an additional charge for each pound the bag weighs. The cost is a linear fund of the weight?
What is the rate of change of this function?
The rate of change of this function is 0.50.
RatesSince Advantage Airlines has a set fee for each checked bag, plus an additional charge for each pound the bag weighs, to determine what is the rate of change of this function, knowing that 20 lbs cost $25 and 50 lbs cost $40, you must perform the following calculation:
25 / 20 = X1.25 = X40 / 50 = X0.8 = X1.25 - 0.8 = 0.45Therefore, the rate of change of this function is 0.50.
Learn more about rates in https://brainly.com/question/25565101
An international company has 13,600 employees in one country. If this represents 19.3% of the company's employees, how many employees does it have in total?
PLEASE HELP ASAP!!!! 10 POINTS!!!
what is the solution to the proportion
5/x =2/8
The population of a town decreased from 15,925 people to 8759 people. What was the approximate percent decrease?
evaluate n/6 when n=12
Answer:
When [tex]\( n = 12 \), \( \frac{n}{6} \)[/tex] equals [tex]\( 2 \).[/tex]
Explanation:
To evaluate [tex]\( \frac{n}{6} \)[/tex] when [tex]\( n = 12 \)[/tex] , simply substitute [tex]\( n = 12 \)[/tex] into the expression:
[tex]\[ \frac{n}{6} = \frac{12}{6} \][/tex]
[tex]\[ \frac{n}{6} = 2 \][/tex]
So, when [tex]\( n = 12 \)[/tex], [tex]\( \frac{n}{6} \)[/tex] equals [tex]\( 2 \).[/tex]
Maria has 5 6/7 square yards of fabric. She uses 2 2/3 square yards fo fabric to make a dress. Does she have enough fabric left over to make a shawl that takes 2 1/4 square yards of fabric?
What is the relationship between the values of the two 4s in 3.441
Answer:
The given number is 3.441
The first 4 is in the tenth place that is written like [tex]\frac{4}{10}[/tex] or 0.4
The second 4 is in the hundredth place that is written like [tex]\frac{4}{100}[/tex] or 0.04
We can see that the second 4 is one tenth times the first 4. This is shown like = [tex]\frac{1}{10} \times\frac{1}{10}[/tex] = [tex]\frac{1}{100}[/tex]
Or we can say the opposite that the first 4 is ten times the second 4.
How do you solve these 2 problems
which of the following are equivalent to 0.625 625/1000 100/625 5/8 125/200 20/125
What property is this? if -5x-1=-11, then -5x=-10
Then, the answer would be x=-2.
If 3 onions weigh 0.75 lb,how much do 10 onions weigh
Troys recipe for bagels makes 18 bagels per batch. Troy makes 2/3 batch of bagels. How many bagels does Troy make
What is k/4+2-k=10.
HELP ASSAP WITH THIS QUESTION
Which number has a 5 whose value is 10 times the value as the 5 in 24092.52
A.3,498.05
B.65
C.4835.19
D.859.24
PLEASE HELP ANSWER WITH ALL STEPS PLS
NUMBER 3 WILL BE A PICTURE
QUESTION 4
Solve for n.
–2.34n = –12.168
n = 5.2
n = 9.828
n = –5.2
n = –9.828
QUESTION 5
Use a transformation to solve the equation.
–8c = 56
c = –48
c = 7
c = –7
c = 48
Solve the inequality.Explain all steps and Identify the properties used. n/-3 + 5>4
A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the questions. Apples *? 5 ? 15 Cost 0.70 3.50 7 ? Apples cost $ __ per pound.
Answer:
Cost 0.70 per pound.
Step-by-step explanation:
If you see the cost and the weight you can get the price per pound, so if 5 pounds cost $3.50, you can evaluate doing a rule of three:
[tex]\frac{3.50}{5}=\frac{x}{1}[/tex]
So if you clear X you´d get this:
[tex]x=\frac{(3.5)(1)}{5}[/tex]
[tex]x=0.70[/tex]
So the cost per pound is $0.70.
Now that you have the cost per pound you can do the equivalent ratios:
Cost---------------Apples
0.70---------------1 pound
3.5--------------- 5 pounds
7--------------- 10 pounds
Answer:
0.70 per pound.
Ahmad drove 638 miles in 11 hours. At the same rate, how long would it take him to drive 522 miles?
Answer:
9
Step-by-step explanation:
answer the question in the image
Write an expression to represent the perimeter of:
2a-3
2a
3a+1