The fraction of the pie given to his friend is [tex]\frac{1}{2}[/tex]
Christine ate [tex]\frac{1}{6}[/tex] of the pie Her brother ate [tex]\frac{1}{3}[/tex] of the pie Further ExplanationThe leftover given to his friends will be determined adding the portion Christine and her brother ate which are [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{3}[/tex] respectively, then subtracted from the whole portion.
= [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{3}[/tex] (The lowest common denominator of 6 and 3 = 6)
= (1 x 1) + (2 x 1) /6
= (1) + (2) / 6
= 1 + 2 / 6
= [tex]\frac{3}{6}[/tex]
Thus, total portion of the pie eaten by Christine and her brother = [tex]\frac{3}{6}[/tex] . Also the fraction of the whole portion of the pie = [tex]\frac{6}{6}[/tex]
Determining the portion given to the friend =
Subtracting [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex]
= [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex] (The lowest common denominator of 6 and 6 = 6)
= (1 x 6) – (1 x 3) / 6
= (6) – (3) / 6
= 6 – 3 / 6
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex] (further broken down to this)
Therefore the fraction given to the friend is [tex]\frac{1}{2}[/tex].
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fractionslowest common denominatorpumpkin piechristinenumeratornumbersPoint C is located at (10, 3) and Point D is located at (4, 3). What is the horizontal distance between the two points? Explain.
The horizontal distance between Point C (10, 3) and Point D (4, 3) is calculated by subtracting the smaller x-coordinate from the larger one. The result is 6 units.
Explanation:The question is asking for the horizontal distance between two points on a coordinate plane, Point C (10, 3) and Point D (4, 3). In this context, the horizontal distance is the distance along the x-axis of the coordinate plane.
The x-coordinate of Point C is 10 and the x-coordinate of Point D is 4. To find the horizontal distance, we simply subtract the smaller x-coordinate from the larger one:
10 - 4 = 6
Therefore, the horizontal distance between Point C and Point D is 6 units.
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In a coordinate plane, when two points share the same y-coordinate, the horizontal distance between them is the difference in their x-coordinates. For Point C(10, 3) and Point D(4, 3), the horizontal distance is 6 units.
Explanation:The question you are asking relates to the concept of distance in a coordinate plane. In particular, you are looking at the horizontal distance between two points that share the same y-coordinate.
When the y-coordinates are the same, the horizontal distance between the two points is simply the difference in their x-values. So, if you have Point C located at (10, 3) and Point D at (4, 3), you can calculate the distance between them by subtracting the x-coordinate of Point D from the x-coordinate of Point C.
Start by noting the x-coordinates of both points: x1 = 10 for Point C and x2 = 4 for Point D.Calculate the difference by subtracting x2 from x1: 10 - 4 = 6.Therefore, the horizontal distance between Point C and Point D is 6 units.
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2 1/7+3/7(3x−5)=−4
a. x= -5 1/7
b. x= -3 1/9
c. x= -1 23/49
d. -8/9
Answer: -3 1/9
Step-by-step explanation:
i k12
evaluate the algebraic expression 6g - 11 =8
Cyndi has 20 square tiles to make rectangles. She uses all 20 tiles in each rectangle. How many different shaped rectangles can she make
What is the reciprocal of 6 and 1/4?
Answer:
The question is What is the reciprocal of 6 1/4 ?
Step-by-step explanation:
6 wholes and the fraction is one - fourths can u help us now ??
24 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mr. Yu applies 1/2 ounce of fertilizer to every 5/8 square meter of his lawn.
How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?
List the first 5 multiples and find ALL factors of 37
David drove 135 miles in 3 hours Find the unit rate
To calculate David's unit rate of speed, divide the distance he traveled, 135 miles, by the time it took, 3 hours, which results in an average speed of 45 miles per hour.
The question concerns finding the unit rate of David's driving speed, which is a concept in mathematics related to distance and time. To find the unit rate of speed, we divide the total distance traveled by the total time taken. In this example, David drove 135 miles in 3 hours. Therefore, the unit rate (average speed) can be calculated as follows:
Identify the total distance traveled, d = 135 miles.Identify the total time taken, t = 3 hours.Calculate the unit rate (average speed) v using the formula v = d / t.The calculation would be v = 135 miles / 3 hours = 45 miles per hour.This means that David's average driving speed was 45 miles per hour.
rob says all numbers have an even number of factors marcia says some numbers have an odd number who is correct
Answer:
Marcia is correct.
Step-by-step explanation:
We are given that,
Rob states that 'all numbers have an even number of factors'.
Marcia states that 'some numbers have an odd number of factors'.
Let us consider the number 36. Now, it is given that,
1 × 36 = 36
2 × 18 = 36
3 × 12 = 36
4 × 9 = 36
6 × 6 = 36
Since, the repeated factor is counted only once. So, the factors of 36 are given by 1, 2, 3, 4, 6, 9, 12, 18 and 36.
This gives us that 36 has 9 factors and so, it has odd number of factors.
Hence, Marcia is correct.
A store owner bought a large box of 5135 paper. clips he wants to repackage the paper clips into 18 smaller boxes each box that contain the same amount of paper clips about how many paper clips should the store owner put into each the box
Answer: 287
Step-by-step explanation:
Given : A store owner bought a large box of 5135 paper clips
He wants to repackage the paper clips into 18 smaller boxes each box that contain the same amount of paper clips .
Then by using the division operation , the number of clips should the store owner put into each the box :-
[tex]5135\div18=285.277777778\approx285[/tex] [Rounded to the nearest whole number.]
∴ The store owner should put 287 paper clips into each the box.
1/3 woodwind,1/6 percussion,1/2 brass. The Reagan School Marching Band has three percussion musicians.How many musicians altogether are in the band?
Joan can pick 9 pounds of strawberries in one hour.
a.How long does she take to pick 72 pounds of strawberries?
help me plz
The local movie theater collected a total of 8250 last night, of which 45% came from sales at the concession stand. How much money did the theater collect at the concession stand
To determine the concession stand revenue, multiply the total collected revenue, $8250, by 45%, resulting in $3712.50 collected at the concession stand.
To calculate how much money the theater collected at the concession stand, we first need to find 45% of the total revenue of $8250.
Step 1: Convert the percentage to a decimal:
45% = 0.45
Step 2: Multiply the total revenue by the decimal:
$8250 * 0.45
Step 3: Perform the multiplication:
$8250 * 0.45 = $3712.5
Therefore, the theater collected $3712.50 at the concession stand last night.
One US dollar is currently worth 0.79 euro (€). If you exchange $522 for euros, how many euros will you have?
it should be 412.38 but thats what i got on my math
Answer: [tex]412.38\text{ euros}[/tex].
Step-by-step explanation:
We are given that the worth of one dollar in euros = [tex]0.79\text{ euro}[/tex]
If we exchange $522 for euros, then to calculate the amount in euros we multiply the value of one dollar to 522 we get
[tex]522\times0.79=412.38\text{ euro}[/tex]
Therefore If you exchange $522 for euros, then we will get [tex]412.38\text{ euros}[/tex].
The vertices of rectangle HJKL are listed below.
H(-3,2) J(-2,1) K(-5,2) L(-6,-1)
What is the approximate perimeter of rectangle HJKL?
The approximate perimeter of rectangle HJKL is 11.98 units.
Using the distance formula to find the lengths of the sides:
Distance between H and J = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(-2 - (-3))^2 + (1 - 2)^2]
= √[1^2 + (-1)^2]
= √2 ≈ 1.414
Distance between J and K = √[(-5 - (-2))^2 + (2 - 1)^2]
= √[(-3)^2 + (1)^2]
= √10 ≈ 3.162
Distance between K and L = √[(-6 - (-5))^2 + (-1 - 2)^2]
= √[(-1)^2 + (-3)^2]
= √10 ≈ 3.162
Distance between L and H = √[(-3 - (-6))^2 + (2 - (-1))^2]
= √[3^2 + (3)^2]
= √18 ≈ 4.243
Add the lengths of the sides to find the perimeter:
Perimeter = Length of HJ + Length of JK + Length of KL + Length of LH
Perimeter ≈ 1.414 + 3.162 + 3.162 + 4.243
Perimeter ≈ 11.98
Therefore, the approximate perimeter of rectangle HJKL is 11.98 units.
how do i break apart to subtract 13 - 5
The ratio of dogs to cats at a pet store is 2 to 3. Which of these she's the possible numbers of dogs and cats in the pet store?
A. 12 dogs, 13 cats
B. 14 dogs, 21 cats
C. 5 dogs, 10 cats
D. 20 dogs, 23 cats
PLEASE HELP!!
Answer:
B
Step-by-step explanation:
2 14
--- = ----
3 21
14/2= 7
21/3=7
which fraction is equivalent to 6/36
The fraction 6/36 can be simplified to 1/6 by dividing both the numerator and the denominator by the number 6, their greatest common divisor.
Explanation:To find a fraction equivalent to 6/36, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. In this case, both 6 and 36 are divisible by 6.
Here's the simplified process step-by-step:
Divide the numerator (6) by 6, which equals 1. Divide the denominator (36) by 6, which equals 6. After simplifying, the fraction 6/36 is equivalent to 1/6.
Tom walks half a distance at 4mph and runs back the other half at 12mph. what is the average speed for the entire trip?
.04 is 1/10 of what number ?
0.4 - D = 0.33 What is D?
The average typing speed of a stenographer is 100 words per minute. How many words would a stenographer type in 4⁄5 of a minute if typing at the average speed
Answer:
A stenographer will type 80 words.
Step-by-step explanation:
In this question it is given that average typing speed of a stenographer is 100 words per minute and we have to calculate the words a stenographer will type in 4/5 of a minute.
By using unitary method we will calculate the number of words a stenographer will type.
∵ In 1 minute stenographer is typing words = 100
∴ in 4/5 minutes stenographer will type = 100 × (4/5) words
= 400/5 = 80 words
So the answer is a stenographer will type 80 words in 4/5 of a minutes.
A flower bed is 2 meters wide and 3 meters long. What is the area of the flower bed in square feet? Round your answer to the nearest hundredth
Where can we put parentheses in the following expression to make it equivalent to 7?
(20−6)÷2
or
20−(6÷2)
The expression (20-6)÷2 already equals 7, as applying the order of operations inside the parentheses followed by the division gives the correct result. The second expression, 20-(6÷2), cannot be altered with parentheses to equal 7; it currently equals 17 without any additional changes.
The question involves understanding how parentheses alter the order of operations in arithmetic expressions. We are asked to determine where to place the parentheses in two different expressions to make them equivalent to 7. Let's evaluate both provided expressions:
(20−6)÷2 = (14)÷2 = 720−(6÷2) = 20−3 = 17The first expression, with parentheses around (20-6), results in the value 7 after performing the operations inside the parentheses followed by the division. Therefore, (20−6)÷2 is already equivalent to 7 and does not require any additional parentheses. The second expression, 20−(6÷2), without modifying its current state with the given parentheses, results in 17 and not 7. Hence, we cannot make this expression equivalent to 7 by altering or moving the parentheses.
Tricia receives a $5 allowance every week. She also earns $6.50 for every hour that she baby-sits. Next week, she wants to earn at least $21.25 to buy a present. How many hours will she need to baby-sit?
Please help!
specify three fractions with different denominators that have an LCD of 24. Then arrange the fractions in order from least to greatest
Cafe A offer 2 free bottled waters or juices for every 20 purchased.
Cafe B offers 3 free bottles waters or juices for every 25 purchased.
what is cafe A's ratio of free drinks to purchased?
what is cafe B's ratio of free drinks to purchased?
If you purchase 50 drinks at each cafe how many free drinks would you get.
i need help very fast!!!!!!
Answer:
Cafe A
1:10
5 free drinks
Cafe B
3:25
6 free drinks
Step-by-step explanation:
Cafe A
Cafe A offers 2 free bottled waters or juices for every 20 purchased. The ratio of free drinks to purchased ones is 2:20 = 1:10.
If you purchase 50 drinks, the free drinks will be:
50 purchased × (1 free / 10 purchased) = 5 free
Cafe B
Cafe B offers 3 free bottles waters or juices for every 25 purchased. The ratio of free drinks to purchased ones is 3:25.
If you purchase 50 drinks, the free drinks will be:
50 purchased × (3 free / 25 purchased) = 6 free
Tell whether the rates of change are constant or variable 16 over 1, 64 over 2, 144 over 3, 256 over 4
What is the value of x in the equation -6x=5x+22?
The value of x for the expression -6x=5x+22 will be equal to -2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is -6x=5x+22.
The value of x will be calculated as,
-6x=5x+22
-6x - 5x = 22
-11x = 22
x = 22 / -11
x = -2
Therefore, the value of x for the expression -6x=5x+22 will be equal to -2.
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write an expression that represents n + 7 multiplied by 3