Each gets [tex]\frac{1}{4}[/tex] pieces of toast.
What is fraction?A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.
Given Data
LeeAnn is taking care of her 3 brothers. She has four pieces of toast and wants to divide them equally among her brothers.
So,
Total pieces of toast = 4
Each gets = 1
Fraction of toast each gets = [tex]\frac{1}{4}[/tex]
Each gets [tex]\frac{1}{4}[/tex] pieces of toast.
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justina needs to dilate traiangle ABC using a scale factor of 1.5
Using the rule for a dilation, it is found that:
1. The table with the coordinates is given by the first image.
2. The graph of the dilated triangle is given by the second image.
3. The rule is: (x,y) -> (1.5x, 1.5y).
What is the effect of a dilation of a figure?When a figure is dilated by an scale factor of a, each vertex of the figure is multiplied by the scale factor of a, hence the rule is given by the following vector:
(x,y) -> (ax, ay).
The coordinates of the vertices of the pre-image are given as follows:
A(-2, -2), B(2,2), C(4, -2).
The dilation has a scale factor of 1.5, hence the rule for the calculation of each vertex of the image, considering the pre-image, is given as follows:
(x,y) -> (1.5x, 1.5y).
Then the vertices of the image will be given as follows:
A'(-3, -3), B'(3,3), C'(6, -3).
Each coordinate of A, B and C was simply multiplied by 1/2, and the triangle with these vertices is given by the second image at the end of the answer.
What is the missing information?The problem is incomplete, and is given by the first image at the end of the answer.
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which property is represented below
Answer : Transitive Property
If that's not correct, try Symmetric or substitution cause I know it's not reflexive
in july, abby's gym membership will increase by 18% a month. if she is currently paying $32 a month how much will she pay in july?
The exponential function that shows the amount of money paid for membership x months after the beginning of the year is given by y = 32(1.18)ˣ.
What are the types of exponential function?There are two possibilities for the exponential function: it can be increasing or decreasing. Being increasing means that as the value of x increases, the value of f(x) also increases; being decreasing means that as the value of x decreases, the value of f(x) also decreases.
Let y represent the amount of money paid for membership x months after the beginning of the year. Abby's gym membership will increase by 18% a month. This is an exponential function.She is currently paying $32 a month, hence:y = 32(1 + 0.18)ˣy = 32(1.18)ˣ
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amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of . the laundry charges for washing one dress and for ironing one. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).
The maximum number of dresses that Amanda can send to be ironed is 8.
What is defined an inequality?An inequality compares two values to determine whether one is less than, greater than, or merely not equal to the other.a ≤ b shows that a is less than or equal to ba ≥ b shows that a is greater than or equal to b.For the given question;
Total budget of Amanda = $100.
Price of washing = $8 per dress.
Price of ironing = $5 per dress.
Total number of dress to be washed = 7.
Let x be the number of dress to be send for ironing.
The inequality becomes.
5x + 7×8 ≤ 100
5x + 56 ≤ 100; is the required inequality.
For finding the x, equate the value.
5x + 56 ≤ 100
5x ≤ 44
x ≤ 8.8
But x must be less, then.
x = 8 dress.
Thus, the maximum number of dresses that Amanda can send to be ironed is 8.
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The complete question is-
Amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of $100 . the laundry charges $8 for washing one dress and for ironing one $5. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has 7 dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).
Please help!!!!!!!!!
Answer:
f(-4) = 19
Step-by-step explanation:
Since -4 < 1, we need to use the bottom part of the function:
[tex]f( - 4) = {( - 4)}^{2} + 3 = 16 + 3 = 19[/tex]
is 3/10 = 15/60 a equivalent ratios?
Answer: No.
Step-by-step explanation:
3 x 5 = 15,
but 10 x 5 = 50.
In order for the ratios to be equivalent, they would have to be written like this:
3/10 = 15/50
Therefore, it is not equivalent.
Hope this helps!
What value of c in the equation cx+4y=12 would give the equation a slope of 8?
Please provide all work and steps you used to find your answer, or the answer is pretty much useless. Thank you!
The value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.
What is the slope of a straight line?A straight line of the form y = MX + c has its slope as 'm'
It is constant for a line. The more the slope is, the steeper the line is.
Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have a negative slope. The horizontal line has 0 slopes and the vertical line has an infinite slope, as it is now at maximum steepness.
We have been given the equation cx+4y=12 which has a slope of 8.
Also cx+4y=12
4y = 12 - cx
y = 12/4 - cx/4
y = 3 - cx/4
Then we know that straight line of the form y = mx + c
By comparing the formula;
y = 3 - cx/4
Slope = c/4 = 8
c/4 = 8
c = 8(4)
c = 32
Therefore, the value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.
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given the following data and a 4-period weighted moving average. t at 1 13 2 20 3 14 4 17 5 19 supposed the weights of the four periods are 4, 5, 8, 11 for the oldest to newest periods, respectively. compute the 4-period weighted moving average in period 5. group of answer choices
6.06 is compute the 4-period weighted moving average in period 5.
What is average in ?
In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.Identify number to average that is 19,17,14,13 over four day period.
Assigning weights to each number.
= 4 * 19 + 5 * 17 + 8 * 14 + 11 * 13
= 416
The sum of period is 19 + 17+ 14 + 13 = 63
So , 416/63 = 6.06
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A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the probability that it is purple.
Answer: 32/139
Step-by-step explanation:
42+45+20+32=139
32/139
Point A is at (-7, 5) and point B is at (7,3).
What is the midpoint of line segment AB?
[tex]m = ( \frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ = ( \frac{ - 7 + 7}{2} . \frac{5 + 3}{2} ) \\ =( \frac{0}{2} . \frac{8}{2} ) \\ m(0.4)[/tex]
be alert m represents the MIDPOINT.
THE MIDPOINT IS (0,4)
Answer:
-1/7
Step-by-step explanation:
What ratio is equivalent to 7:6
Answer: 14 : 12
Step-by-step explanation:
Answer: 14:12
Step-by-step explanation: To find the ratio, you would either multiply or divide the two numbers by the same number, and you would get a simplified ratio or an equivalent one. Because 7:6 is simplified, we have to find an equivalent ratio, meaning we multiply. If we multiply 7 by two, we get 14. Multiply 6 by two to get 12. So, the answer is 14:12. Divide both 14 and 12 by two to get back to 7:6.
prodigy question of perimiter
The number of length of 4 feet they need is 8.
How to find the number of length required for fencing?He wants to fence around there garden that measures 8 feet by 8 feet.
The store sells fencing in length of 4 feet's.
Therefore,
perimeter of the garden = 4l
where
l = side lengthThe perimeter of a shape is the sum of the whole side.
Hence,
perimeter of the garden = 4 × 8
perimeter of the garden = 32 feet
Therefore,
number of length required = 32 / 4
number of length required = 8
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Ed buys a vase for £24 and adds 25% onto price before putting it into his shop window
What price does the price tag say in the window
Answer:
£30
Step-by-step explanation:
Percentage = Division
24 × 25% or 24 ÷ 4
= 6
6 + 24
= 30
Use the equation below to find a, if b=3 and h=4
A= bh
PLS HELP :(
please help me with question 19 please i really need the answer asap!! thanks!!
Answer:
D) 116
Step-by-step explanation:
Supplementary angles add up to 180°
∠CDE + ∠FDE = 180
3x + 10 + 6x + 8 = 180
3x + 6x + 10 + 8 = 180
Combine like terms,
9x + 18 = 180
Subtract 18 from both sides,
9x = 180 - 18
9x = 162
Divide both sides by 9
x = 162 ÷ 9
[tex]\sf \boxed{\bf x = 18}[/tex]
∠FDE = 6x + 8
= 6*18 + 8
= 108 + 8
= 116°
A research center poll showed that % of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief?.
The probability that someone does not have this belief is (1-x%)
If, x % of people believe that it is morally wrong to not report all income on tax returns.
A research center poll showed that % of people believe that it is morally wrong to not report all income on tax returns.
let, x % of people believe that it is morally wrong to not report all income on tax returns.
then, the probability that someone does not have this belief-->
the sum of the probability of all events equal to 1.
so, probability(believe it morally wrong to not report ) + probability(does not believe this )=1;
so, the probability that someone does not have this belief = 1-x%
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solve for x 7 x + 6 / 4 = 2 x − 3 / 5 Give your answer as an improper fraction in its simplest form.
x = -14/9 is the solution to the equation ( 7x + 6 )/4 = ( 2x − 3 )/5 in a simplified improper fraction form.
What is the value of x in the given equation?Given the data in the question;
( 7x + 6 )/4 = ( 2x − 3 )/5x = ?To solve for x, first we cross multiply
( 7x + 6 )/4 = ( 2x − 3 )/5
5( 7x + 6 ) = 4( 2x − 3 )
Remove the parenthesis using distributive property
7x×5 + 6×5 = 2x×4 − 3×4
35x + 30 = 8x - 12
Collect like terms by moving all terms containing x to the left and all constant terms to the right side of the equation.
35x - 8x = -12 - 30
27x = -12 - 30
27x = -42
Divide both sides by 27
27x/27 = -42/27
x = -42/27
x = -14/9
Therefore, the value of x in the given equation ( 7x + 6 )/4 = ( 2x − 3 )/5 is -14/9.
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Answer:
2/3
Step-by-step explanation:
A triangle is dilated by a factor of 2 and then rotated clockwise. Which statement about the triangle's image and pre-image is correct?
The correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'
The correct answer is an option (1)
In this question, a triangle is dilated by a factor of 2 and then rotated clockwise.
We need to select the correct statement about the triangle's image and pre-image.
We know that rotation is a rigid transformation but dilation is not a rigid transformation.
Dilation does not preserve the size of the image.
Also, the image and pre-image are not congruent as the corresponding sides of triangle's image and pre-image are not equal.
Therefore, the correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'
The correct answer is an option (1)
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?:12 =7:14 what is the answer
Answer:
I believe the answer is 6:12. . .
Step-by-step explanation:
I think that 7:14 equals 1:2 in its simplest form. 6:12 also is equivalent to 1:2. 1:2 = 1:2.
Find irrational number, which is more than 0,6(3) and less than 0,64.
An irrational number that lies between the two given ones, 0.6333.... and 0.64 is:
√7 - 2.01 =0.63575...
How to find an irrational number between the two given ones?Remember that an irrational number is a number that can't be written as the quotient between two integers.
Here we want to find two numbers between 0.6333 (where the 3 repeats infinitely) and 0.64
So we cold try to find a number like:
6.3349412490184...
Such that there is no pattern (because if there were a pattern, it would not be an irrational number).
An example of this can be, for example:
√7 = 2.64575...
This is an irrational number.
Now, if we subtract 2.01 from that we will get:
√7 - 2.01 = 2.64575... - 2.01 = 0.63575...
This is an irrational number and lies between the two given ones, then we conclude that √7 - 2.01 =0.63575... is a correct option.
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Shaniece took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.40 plus $3.50 per mile. The total fare was $80.40, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.
How many square feet of outdoor carpet will
we need for this hole?
36ft^2 square feet of outdoor carpet we will need for this hole.
How to find the square feet of carpet needed?Big square: Length = 6 ft ; Width = 4 ft
Small square: Length = 6 ft ; Width = 2 ft
Area = L x W
Big square: 6 * 4 = 24 ft^2
Small square: 6 * 2 = 12ft^2
On adding both, we get
Total area = 24 + 12 = 36ft^2
36ft^2 square feet of outdoor carpet we will need for this hole.
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PLEASE HELP ASAP!!!!!!!!
(03.03 MC)
The table represents a continuous exponential function f(x). XE 2 3 4 5 f(x) 9 3 1 Graph f(x) and identify the y-intercept.
A.9
B.15
C.36
D.3
E.81
Answer: B. (15)
Y= -[tex]\frac{3}{1}[/tex]x + 15
Step-by-step explanation:
In the Table we see a f(x) decreasing by 3 for every 1 (x)
So we Have a Slope of -3(y) over 1(x)
Dad is getting food ready for my birthday party! Including me, there will be 18 people at the party. Dad is baking cookies for us! He can bake 24 cookies per batch. How many batches should should I tell dad to make so we can have 4 cookies?
Okay so we have 18 ppl we want 4 cookies per person
in one batch we can make 24
first multiple 18 by 4 or vice versa
answer is 72
now divide 72 by 24
answer is 3
we need 3 batches to make 4 cookies per person
assume that the traffic to the web site of smiley’s people, inc., which sells customized t-shirts, follows a normal distribution, with a mean of 4.56 million visitors per day and a standard deviation of 720,000 visitors per day. (a) what is the probability that the web site has fewer than 5 million visitors in a single day? if needed, round your answer to four decimal digits
The probability that the web site has fewer than 5 million visitors in a single day is 0.7293.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 5 million
μ = mean = 4.56 million
σ = standard deviation = 720,000
z-score = (5 million - 4.56 million) / 720,000
z-score = 440,000 / 720,000
z-score = 0.6111
Find the probability that corresponds to the z-score in the z-table. (see attached images)
z-score = 0.6111
Using interpolation of values,
probability = 0.7293
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What is an equation of the line that passes through the point (6,1)(6,1) and is parallel to the line x+3y=15
Answer:
Step-by-step explanation:
Let's write everything in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept.
x+3y=15
3y= -x + 15
y = (-1/3)x + 5
Parallel lines will have the sam slope, in this case -(1/3), So the new line will be:
y = (-1/3)x + b
We need to fijnd a value of b that will force the ine through point (6,1). Enter (6,1) in the equation and solve for b:
y = (-1/3)x + b
1 = (-1/3)(6) + b
1 = (-2) + b
b = 3
The parallel line is:
y = (-1/3)x + 3
See the attached graph.
c(4+3c)-0.75(c+3)
PLEASE EXPLAIN NEED TO SHOW MY WORK ALREADY GOT IT RIGHT JUST NEED TO SHOW MY WORK
Answer:
3.25c + 3c^2 - 2.25.
Step-by-step explanation:
c(4+3c) - 0.75(c+3)
Distribute “c” through the parentheses
4c + 3c^2 - 0.75(c+3)
Distribute “-0.75” through the parentheses
4c + 3c^2 - 0.75c - 2.25
Collect like terms and your answer is
3.25c + 3c^2 - 2.25.
Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
7.5cm distance a spring when a force of 270 newtons stretch the same spring.
What is force?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given Data
A force of 180 newtons stretches a spring 5 cm
If we consider F to be the force and x to be the extension, then:
F = kx
F = 180
x = 5
Equating
180 = 5k
k = 36
F = 36x
Force of 270:
270 = 36x
x= 7.5
7.5cm distance a spring when a force of 270 newtons stretch the same spring.
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For every 3 lemons Chrissy buys at a farm stand,
the total cost increases by $1.80.
The constant of proportionality is ?
An equation that relates the total cost, y, and the
number of lemons, x, is y = ? x.
Use the equation you wrote to complete the table.
Table:
Numbers of lemons(x) | Total cost(y)
4 | _?__
_?__ | $4.20
_?__ | $9.00
18 | _?__
Answer:
The constant of proportionality is $1.80
y = 1.80x
Step-by-step explanation:
The constant of proportionality is $1.80
An equation that relates the total cost, y, and the number of lemons, x, is
y = 1.80x
where,
y =Total cost
x = number of lemon
When x = 4
y = 1.80x
y = 1.80(4)
y = 7.2
y = $7.2
When y = $4.20
y = 1.80x
4.20 = 1.80x
x = 4.20 / 1.80
x = 2 1/3
x = 2 1/3
When y = $9.00
y = 1.80x
9.00 = 1.80x
x = 9.00 / 1.80
x = 5
x = 5
When x = 18
y = 1.80x
y = 1.80 × 18
y = 32.4
y = $32.4
Use the equation below to find p, if a=16,b=9, and c=13
The value of p when a = 16, b = 9 and c = 13 is 38
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Given that:
p = a + b + c
Substituting the values of a, b and c:
p = 16 + 9 + 13
p = 38
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