Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
[tex]x_{m} = \frac{x_{1} + x_{2} }{2}[/tex] and [tex]y_{m} = \frac{y_{1} + y_{2} }{2}[/tex]
where [tex]x_{m}[/tex] and [tex]y_{m}[/tex] = coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = [tex]\frac{5 + x_{2} }{2}[/tex] and -1 = [tex]\frac{1 + y_{2} }{2}[/tex]
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
A chef is planning for a large dinner party and thinks that 2 out of every 6 guests will order salad. If there are 360 guests, how many salads should the chef prepare?
Answer:
120 salads
Step-by-step explanation:
2/6 = 1/3 guests = 120/360
PLEASE I WILL MARK BRAINLIST ANSWER PLEASE
Answer:
What you chose is correct.
Step-by-step explanation:
5+1=6
3+1=4
6 chicken sandwichea and 4 veggie sandwiches
Sally and Anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Each woman's total is modeled with this expression: 9+1.34+1/2(3.50+1.74) How would you simplify the expression? Explain your steps.
Answer:
12.91
Step-by-step explanation:
We are told that Each woman's total is modeled with this expression:
9 + 1.34 + 1/2(3.50 + 1.74)
To solve this we will use the BODMAS acronym.
So the first operation will be to solve what's in the bracket to give;
9 + 1.34 + 1/2(5.14)
Let's now carryout the multiplication of the bracket to give;
9 + 1.34 + 2.57
Using the addition operation now gives us: 12.91
Answer: First, add the decimals in the parentheses. Next, multiply that number by 0.5. Finally, add all the decimal numbers.
Convert 13 over 2 to a decimal using long division.
Answer:
6.5
Step-by-step explanation:
You divide.
So like 13 / 2 is 13 divided by 2 and is 6 remainder 1.
You can write this as 6 1/2.
1/2 is 0.5
So 13/2 is 6.5
A bookstore marks up the price of a book by 40% of the cost from the publisher. Therefore, the bookstore's price to the student, P(x) (in $) after a 7.5% sales tax, is given by P(x) = 1.075(x + 0.40x), where x is the cost of the book from the publisher. Evaluate P(60) and interpret the meaning in the context of this problem
Answer:
This means that, when the price of book from publisher is $60, the bookstore will sell it $88 to the students.
Step-by-step explanation:
Solution:
The cost of book from publisher = 40%
Sales tax = 7.5%
Price of books to the student = p(x) = 1.075x + 0.40x
Where, x is cost of book.
P (60) =?
We know that,
P(x) = 1.075 + 0.40
= 1.475%
=148
Given, Cost of book, x = 60
P (60) = 148 – 60
= 88
This means that, when the price of book from publisher is $60, the bookstore will sell it $88 to the students.
Four students measure the length of a minute-long trial four times
Para calcular la altura alcanzada por un proyectil en la tierra es suficiente conocer la velocidad de lanzamiento
Answer: This is false, Esto es falso
Step-by-step explanation:
Margie I bought 5 shirts on sale for $40 what is the unit cost
Answer:
the answer will be 8
Step-by-step explanation:
40÷5=8
Answer:
$8 unit cost I think
ANSWER THREE THROUGH FIVE , ILL GIVE YOU BRAINLIST!!!
Answer:
Step-by-step explanation:
3) diameter of penny = 19 mm
r = 19/2 = 9.5 mm
Area of penny = πr²
= 3.14 * 9.5 * 9.5
= 283.385
= 283.39 mm²
Diameter of nickel = 21 mm
r = 21/2 = 10.5 mm
Area of nickel = πr²
= 3.14 * 10.5 *10.5
= 346.185
= 346.19 mm²
346.19 - 283.39 = 62.8 mm²
Area of Canadian nickel is greater than Canadian penny by 32.6 mm²
4) r = 12 mm
Area of circle = πr²
= 3.14 * 12 * 12
= 452.16 mm²
5) r = 20 cm
Area of circle = πr²
= 3.14 * 20 * 20
= 1256 cm²
evaluate function expressions
3•f(-4)- 3•g(-2)
Answer:3(-4f-g(to the power of -2)
Step-by-step explanation:
3(-fx4-g(to the power of -2) reorder and get solution.
Answer:
-12f + 6g
Step-by-step explanation:
f x -4 then 3 x -4f which you get -12f.
g x -2= -2g then -2g x 3= -6g.
Then we take the subtraction sign in the middle and make the equation simpler.
Billy has a gift card with a $160 balance. He buys several video games that cost $50 each. After the
purchases, his gift card balance is $10. Enter an equation to help find out how many video games Billy
bought
The equation
can help find out how many games Billy bought
Answer:
10=160-50x
Step-by-step explanation:
he bought 3 games
A muffin recipe calls for 1 1/4 cups of flour for every two in the recipe. How many cups of flour will you need for a recipe that uses 5 eggs?
Answer: 3 and 1/8 cups
Step-by-step explanation:
I have to solve this but the answer was there so why not answer this
The Base Ten Chart is a System of Units. Select the statement that is true. O The Units of each column can increase or decrease 20 times. Each unit column on the Base Ten Chart has a value. The value of the Unit column to the left of any given unit column is always 10 times greater and the value of the Unit column to the right is always 10 times less. O All unit columns are greater than the column to their left. O All unit columns are less than the unit column to their right.
512 students and teachers attended a play in the auditorium. There were 307 teachers in attendance.
What percent of the audience is a teacher? What percent is a student?
Answer:
60% for teachers and 40% for students
Step-by-step explanation:
Calculator lol
Answer:
teachers: 59.96
students: 40.03
Crystal baked 54 muffins for her family and friends. Her friends take 1/6 of the muffins. How many muffins does she have left? Of the muffins that she has left, her family took 2/5 of them. How many muffins did her family take? After her friends and family have taken their muffins, Crystal eats 1/3 of what is left. How many muffins did Crystal eat?
Answer:
she has 45 muffins left
her family took 18 muffins
crystal ate 9 muffins
Step-by-step explanation:
54 × 1/6 = 9
54 - 9 = 45
45 x 2/5 = 18
45 - 18 = 27
27 x 1/3 = 9
Your math teacher tells you that the next test is worth 100 points and contains 38 problems. Multiple choice questions are worth 2 points each and word problems are worth 5 points each. How many of each type of question are there?
eight 5 and thirty 2
Step-by-step explanation:
8 times 5 = 40 and then 30 times 2 = 60
40+60= 100
Claire spent 20 days in Spain she spent 1/4 of the days in Madrid how many days did Claires spend in Madrid
Answer:
the answer is 5 days
Step-by-step explanation:
1/4 of 20 is 5
The average weight of the top 5 fish at a fishing tournament was 13.3 pounds. Some of the
weights of the fish are shown in the table.
Answer:
15.4 lbs
Step-by-step explanation:
Since the average of the top five is 13.3 this says that:
total weight of all the fish / 5 = 13.3 lbs
Therefore, the total weight of all five fish is equal to:
13.3 * 5 = 66.5
With this number, I subtracted all the other weights and found that the missing weight was:
15.4lbs.
Therefore, Wayne S. had the biggest fish weighing 15.4lbs
Answer:
15.4
Step-by-step explanation:
(14.2 + 13.4 + 12.1 + 11.4 + X) / 5 = 13.3
(51.1 + X) / 5 = 13.3
Cross:
51.1 + X = 66.5
then X = 66.5 - 51.1
= 15.4
Reasoning Which number below comes first when the numbers are listed from least to greatest?
Explain. Then write the numbers in order from least to greatest.
[tex] \frac{1}{3} \: \: - 1 \: \: \sqrt{7} \: \: - \frac{9}{2} \: \: 1.5[/tex]
Answer:
Your order will be √7, 1.5, 1/3, -1, and -9/2
Step-by-step explanation:
7 squared would be 2.64. 1 divided by 3 would be .333. Negative 9 over 2 would be -4.5.
26 points and Brainliest
Answer:
A. √34
Step-by-step explanation:
Lets find the decimal form of al the answer choices (round to the nearest hundredth).
√34 ≈ 5.83
√24 ≈ 4.90
√68 ≈ 8.25
√44 ≈ 6.63
On the number line, we see that the red dot is between the numbers 5 and 6. The only number that is between those numbers is 5.83 which is √34.
Best of Luck!
A bag contains 5 red, 5 blue, 4 green, and 2 yellow marbles. What are the odds of drawing a green marble? PLEASE ANSWER ASAP!!!! if you could please explain how
1 point
1:2
3:5
1:3
4:10
Answer:
1:3
Step-by-step explanation:
12 marbles that are not green. Make it a fraction of 4/12--> which can be simplified to 1/3 = 1:3
Rolando has an annual salary of $46,000, and his company pays him twice a
month. What is the gross income per paycheck that Rolando receives?
Answer:
$1916.667
Step-by-step explanation:
$46,000 / (12 months * 2) = $1916.667
how do i find the value of x on this line?
Which fractions are equal to 2/3
Answer:8/9
Step-by-step explanation:if you divide by 2 it will eventually get to the 2/3
Harper knows he is 100 yards from school. The map on his phone shows that the school is 1/3 inch from his current location. If Harper’s current location is 3 inches from home on the same map, how far is Harper from home?
Helpppp
Answer:
4 7/17 yeards or 4.412 yards approximately if the map shows the distance as 3 inches.
Step-by-step explanation:
The actual distance of the Harper from the school = 50 yards. According to the map, the distance from the school = 34 inches. We could say 34 inches represents 50 yards. So, 1 inch could be represented by 50/34 = 25/17 yards. In order to find the actual length of 3 inches in yards, we need to multiply 1 inches value of yards by 3.Therefore, 3 inches = 3* 25/17 = 75/17 = 4 7/17 yeards in decimals 4.412 yards approximately. Therefore, Harper from home is 4 7/17 yeards or 4.412 yards approximately if the map shows the distance as 3 inches.
I NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!
what is the vaule -27-(-12)-3
What is the value of x
Answer:
180-45=135
2x-5=135
2x=140
x=70
Step-by-step explanation:
18x-2 = 17x +2 help
Answer:
4
Step-by-step explanation:
18x-2 = 17x +2
⇒18x-17x - 2 = 2
⇒x - 2 = 2
∴ x = 4
Will give brainlest
What is 3/4 divided by 1/2
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
_______________________
➜ Turn the fractions into decimals:
[tex]\frac{3}{4}=0.75[/tex][tex]\frac{1}{2}=0.50[/tex]➜ Now divide:
[tex]0.75[/tex] ÷ [tex]0.50=1.5[/tex]_______________________
So based on the above work we can conclude that the answer is:
Fraction Form: [tex]\frac{\bold3}{\bold2}[/tex]Mixed Number Form: [tex]\bold1\frac{\bold1}{\bold2}[/tex]Decimal Form: [tex]\bold1.\bold5[/tex]_______________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
HELP pLZZZX I I need it really bad
Answer:
1) 5
2) 7
3) 11
4) 4
Step-by-step explanation: