The fraction of the bag that are red and yellow are [tex]\frac{17}{30}[/tex].
A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. Below (or after) that line, there is a non-zero denominator and a common, vulgar, or simple fraction. Uncommon fractions that use numerators and denominators include difficult fractions, compound fractions, and mixed numeral fractions.To calculate the total fraction of red and yellow candies in the bag of skittles we add the two fractions together.
To add the two fractions together but first rewrite the fractions with a common denominator;
[tex]\frac{4}{15} =\frac{8}{30}[/tex]
[tex]\frac{3}{10} =\frac{9}{30}[/tex]
[tex]\therefore\frac{8}{30} +\frac{9}{30} \\\\=\frac{17}{30}[/tex]
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Round the decimal to the given place value.
124.123474
hundred-thousandth
Answer: 124.12347
Step-by-step explanation:
You work in a nursery with
20 children aged 3 - 5 years.
Your current room size is
415m² and does not meet
floor space requirements.
The room needs to increase
in size by 11%.
How big should the room
be?
Answer:
The room should be 460.65 [tex]m^{2}[/tex].
Step-by-step explanation:
First, you have to convert the percentage to a fraction.
11% = 0.11
Then add one to that number.
0.11 + 1 = 1.11
Multiply the number with the original room size.
415 * 1.11 = 460.65 ([tex]m^{2}[/tex])
Work out the equation of the line passing through (0, -1) and parallel to the line y = 2x + 4.
Answer:
Y=2x-1
Step-by-step explanation:
(0,-1) parallel to y=2x + 4
parallel means the slope is the same (i.e m=2)
general equation would be
y=2x+k
now (0,-1) belongs to line where x=0 and y= -1
-1 =2(0)+k
-1 = k
hence k is -1
the equation is y=2x-1
A chemist is using 357 milliliters of a solution of acid and water. If 18.1% of the solution is acid, how many milliliters of acid are there? Round your
answer to the nearest tenth.
milliliters
If 18.1 percent of the solution is acid, 64.07 milliliters of acid are there.
What is a percentage?
Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.Multiplying this fraction by 100 and adding a percent sign will get the percentage. Percentage Equals 100 * numerator / denominator.As per the question,
18.1 Percent of 357 ml of solution used is acid, therefore,
=(18.1/100)*357
= 64.07 ml of acid
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Solve the following equation. x/9 = 1Then place the correct number in the box provided.
Answer:
9
Step-by-step explanation:
x/9 = 1
Multiply both sides by 9
x = 9
Also, any number over itself is equal to 1.
help i have no clue how to do this pls help
Answer:
4
Step-by-step explanation:
the sequence is like [tex]1^{2}[/tex],[tex]2^{2} ,4^{2},8^{2} ,16^{2} ,32^{2}[/tex]
Please solve this! I need it asap!
The differentiation of the given function is expressed as; 2x - √3(y) = 0
How to carry out Differentiation?
We want to differentiate the function;
x² - √3(xy) + 2y² = 12
To differentiate this means to express as;
x²(dy/dx) - √3(xy)(dy/dx) + 2y²(dy/dx) = 12(dy/dx)
This gives us;
2x - √3(y) + 0 = 0
2x - √3(y) = 0
Thus, the differentiation of the given function is expressed as;
2x - √3(y) = 0
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What is the constant of proportionality between y and x in the graph?
Answer: 4/3 or 2/1.5
Step-by-step explanation:
The constant of proportionality is also known as the slope. This can be found with change in y over change x.
Since we have a graph with distinct points, we can use rise over run. For this graph, we will count 3 units up from (0, 0) and 4 units right to (4, 3). This becomes 4/3 or 2/1.5. This is the constant of proportionality.
To two decimal places,
√70
must lie between ____
and _____.
Answer:
between 8.36 and 8.37
Step-by-step explanation:
[tex]\sqrt{70} =8.3666[/tex]
Hope this helps
Carly tutors students in math on the weekends and offers both thirty-minute sessions and sixty-minute sessions. She earns $15 for each
thirty-minute session and $25 for each sixty-minute session.
If she earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions, what is the value of x?
A 7
B. 5
C. 8
D. 6
The value of x is 7. The correct option is A. 7
Solving Linear equationsFrom the question, we are to determine the value of x
From the given information,
Carly earns $15 for each thirty-minute session and $25 for each sixty-minute session
Also,
She earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions
Then, we can write that
x × $15 + (x -2) × $25 = $230
Solve for x in the equation
15x + 25(x -2) = 230
15x + 25x - 50 = 230
40x - 50 = 230
40x = 230 + 50
40x = 280
x = 280/40
x = 7
Hence, the value of x is 7. The correct option is A. 7
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Answer:
B. 7
Step-by-step explanation:
Correct on edmentum!
Does the mapping diagram represent a function? Why or why not?
x -7 -1 8
y -4 4
A. No; the input values x = -7 and x= -1 are paired with the same output value.
B. No; each input pairs with only one output. C. No; the output value y = -4 pairs with two different input values.
D. Yes; each input pairs with only one output.
Answer:
D
Step-by-step explanation:
A relation is a function is each input maps onto no more than one output.
Find the equation of the line given the following conditions.
-Passing through (2, -3) and perpendicular to the line whose equation is y=1/5x+6
-Passing through (5, -9) and perpendicular to the line whose equation is x + 7y – 12 = 0
Considering the definition of perpendicular line, you obtain:
1) the equation of perpendicular line is y= -5x + 7.
2) the equation of perpendicular line is y= 7x + 54.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line of y=1/5x +6If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 1/5. So:
1/5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (1/5)
slope perpendicular line= -5
So, the perpendicular line has a form of: y= -5x + b
The line passes through the point (2,-3). Replacing in the expression for perpendicular line:
-3= -5× (2) + b
-3= -10 + b
-3 +10 = b
7= b
Finally, the equation of perpendicular line is y= -5x + 7.
Equation of perpendicular line of x +7y -12= 0In this case, the line is x +7y -12= 0. Expressed in the form y = mx + b, you get:
7y= -x +12
y= (-x + 12)÷ 7
y= -1/7x +12/7
If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -1/7. So:
-1/7× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-1/7)
slope perpendicular line= 7
So, the perpendicular line has a form of: y= 7x + b
The line passes through the point (5,-9). Replacing in the expression for perpendicular line:
-9= 7× (-9) + b
-9= -63 + b
-9 + 63 = b
54= b
Finally, the equation of perpendicular line is y= 7x + 54.
Summary
In summary, you obtain:
1) the equation of perpendicular line is y= -5x + 7.
2) the equation of perpendicular line is y= 7x + 54.
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At a school fundraiser Ms. Navaro sold 24 plates of cookies, which is 80% of the total number of plates of cookies she baked. How many plates of cookies did Ms. Navaro bake?
Answer:
. Onusko made 60 cookies for a bake sale. She sold 2/3 of them and gave 3/4 of the remaining cookies to the students working at the sale. How many
Find the earnings for selling the same number of each type of sandwiches. Use x to represent the number of each type of sandwiches sold. Pretzel ham sandwich cost $2.25, pretzel turkey sandwich cost $1.55, bagel ham sandwich cost $2.00, bagel turkey sandwich cost $1.30
Total earnings for selling the same number of each type of sandwiches are $7.10x. This is a simple sum.
Here, the number of each type of sandwiches sold is x.
Pretzel ham sandwich cost $2.25. so, the earnings for selling Pretzel ham sandwich is $2.25x.
Similarly, earnings for selling pretzel turkey sandwich is $1.55x, earnings for selling bagel ham sandwich is $2.00x and earnings for selling bagel turkey sandwich is $1.30x. The total earning can be found by a simple sum of all individual earning of each type of sandwiches.
Therefore, Total earnings for selling the same number of each type of sandwiches are = $2.25x + $1.55x + $2.00x + $1.30x = $7.10x
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the converse of If a/b = c, then a = bc. geometry
We need to know what converse of a statement means to solve the problem. The converse of the given statement is, if a=bc then a/b=c.
The converse of a conditional statement is created by exchanging the condition and the result. If a statement is p--->q then the converse of the statement is q--->p. In the given question we have been given the condition as a/b=c and the result if the condition satisfies is a=bc. To find the converse of this statement we need to make the result, the condition and the condition will be the new result. So the condition for converse will be a=bc and the result if the condition satisfies will be a/b=c.
Therefore the converse of the given statement is, if a=bc then a/b=c.
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What is 9.06 divided by 6?
Answer:
9.06 ÷ 6 = 1.51
Hope this helps :)
Check:
1.51
× 6
-------
9.06
Move decimal 2 times to the left un 9.06 because in the number 1.51 there are 2 numbers behind the decimal.
pls answer report if wrong
Answer:
1/4
Step-by-step explanation:
12 cm x 1/4 = 3 cm
also i already learned scaled copys
Answer: The scale factor used in figure 2 is 1/4 or one fourth
Step-by-step explanation:
Hope this helps!
The posts of a hockey goal are 6 ft. apart. A player attempts to score by shooting the puck from a
point that is 19 ft from one post and 24 ft from the other post. Within what angle & must the shot be
made? Express your answer to the nearest degree.
The angle at which the shot was made should be 17.53° degrees.
Let C denote the point where the player attempts to put in a goal.
Let A and B denote the two goalposts.
We are given the posts of a hockey goal are 6 ft apart.
The distance between the player and one goalpost is 19 ft.
The distance between the player and the other goalpost is 24 ft.
Then, we have AC = 19 ft, BC = 24 ft, and AB= 6 ft.
Refer to the diagram.
Let θ be the angle made when trying to shoot the goal towards goalpost A.
Then we have tan(θ) = 6/19
⇒ θ = 17.53° degrees.
Therefore, the angle at which the shot was made should be 17.53° degrees.
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Find the 50th percentile from the following sorted list of 34 data
128 134 144 146 153
190
207 209
220
221
237
256
263 265
271
273
283
324 350
371
389 401 416 417
422
424 443 444
448 466
486
487 490 500
50th percentile =
Enter an integer or decimal number [more..]
Question Help: Message instructor
The 50th percentile value is 303.5.
What is a percentile?
A percentile is a term used in statistics to express how a score compares to other scores in the same set. While there is technically no standard definition of percentile, it's typically communicated as the percentage of values that fall below a particular value in a set of data scores.
Percentiles are commonly used to report values from norm-referenced tests (in which the average is determined by comparing a set of results in the same group) as the percentages of scores that fall below those of the average of the set.
For calculation we have to add all the given numbers.
(128+134+144+146+153+190+207+209+220+221+237+256+263+265+271+273+283+324+350+371+389+401+416+417+422+424+443+444+448+466+486+487+490+500) divided by 34
hence 50th percentile is 303.5
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Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches he makes:
Number of batches 222 333 444
Sugar (\text{kg}kgstart text, k, g, end text) 0.60.60, point, 6 0.90.90, point, 9 1.21.21, point, 2
Chika has 2.25\,\text{kg}2.25kg2, point, 25, start text, k, g, end text of sugar, and she wants to make as many batches as possible for a bake sale. She can make partial batches, and she has more than enough of the other ingredients.
How many batches can Chika make?
Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
What is proportion?Proportion is the ratio of a variable in the whole.
Proportion shows how much quantity is contained in a variable.
Proportions are represented in decimals, percentages, and fractions.
Data and Calculations:Number of Batches 2 3 4
Sugar (kg) 0.6 0.9 1.2
Proportion of sugar
per batch 0.3 0.3 0.3
Chika's sugar ingredient = 2.25 kg
The number of batches Chika can make = 7.5 (2.25/0.3)
Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
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a plank of wood is 220 cm long.I cut it in 14cm pieces. what lenght of wood i will have left over?
The required Length is 10cm.
What is length?
Length is a measure of distance. In the International System of Amounts, length is a volume with dimension distance. In utmost systems of dimension a base unit for length is chosen, from which all other units are deduced.Length is generally understood to mean the most extended dimension of a fixed object. still, this isn't always the case and may depend on the position the object is in.Varied terms for the length of a fixed object are used, and these include height, which is the perpendicular length or perpendicular extent, and range, breadth, or depth. Height is used when there's a base from which perpendicular measures can be taken. range or breadth generally relates to a shorter dimension when the length is the longest one.220 / 14 gives us 15.
You have to understand that this means 15 whole 14 cm pieces and a Length of 1 piece.
thus 14 * 15 = 210
So 220- 210 = 10
where you know 220- 210 is< 15
Hence, The correct Length is 10cm.
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step by step explanation
The sum of the given infinite geometric series is; 32
What is the sum of the geometric series?The general formula for finding the sum of an infinite geometric series is s = a₁/(1 - r)
where;
s is the sum
a₁ is the first term of the series
r is the common ratio.
To find the common ratio, use the formula: r = a2⁄a1
where a2 is the second term in the series and a1 is the first term in the series.
Thus;
r = 2²/4²
r = 1/2
Thus;
S = 4²/(1 - 1/2)
S = 16/(1/2)
S = 32
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What percent of 32 is 4?
A 12.5%
B 1.28%
of 32 is 4?
C 0.125%
D 8%
Answer:
A
Step-by-step explanation:
12.5% is 4 of 32. Devide 4 by 32 you get the 0125
Answer:
A 12.5%
Step-by-step explanation:
let p be the percentage that 4 represents.
[tex]32\longrightarrow 100 \%\\4 \longrightarrow \text{p} \%[/tex]
Then
[tex]p=\frac{4}{32} \times 100[/tex]
[tex]= 0.125 \times 100[/tex]
[tex]=12.5[/tex]
Translate the following verbal expression into an algebraic expression.
Ten times a number plus seven times the same number.
Answer:
10x + 7(10x)
Step-by-step explanation:
X is the unknown number
graph the linear inequality 9x-y<9
The line has a slope of 9 and y-intercept of -9
Linear inequality graphA linear equation is a equation that has a linear degree of 1.
Given the inequality expression 9x-y<9
Write in slope-intercept form
-y < -9x + 9
y > 9x - 9
From the equation, we can see that the line has a slope of 9 and y-intercept of -9
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How many groups of 1/8 are in 3?
Answer:
there are 24 1/8 in 3
Step-by-step explanation:
8x3=24
Graph g(x) = |x| − 3.
The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
How to graph the equation of the function?The equation of the function is given as
g(x) = |x| - 3
The above function is an absolute value function.
The parent function of an absolute value function is
f(x) = |x|
This means that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 3 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
See attachment for the graph of g(x)
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What is the slope of the line that passes through the points (2, 8) and (-3, 14)?
Answer:
-6/5
Step-by-step explanation:
(14-8)÷(-3-2) = -6/5
the best graph to use for nominal or ordinal data is
Bar charts and pie charts are the best graphs to use for nominal or ordinal data.
What is defined as the Bar charts?Bar graphs are graphical representations of data (usually grouped) in the form of horizontal or vertical rectangular bars, with the length of the bars proportional to the data measure.
They are also referred to as bar charts. In statistics, bar graphs are one method of data handling.The drawn bars are uniform in width, as well as the variable quantity is depicted on one of the axes. The variable's measure is also depicted on other axes. The heights or lengths of the bars represent the variable's value, and these graphs are also employed to compare different quantities.Thus, for nominal and ordinal variables, bar charts or even pie charts are most commonly used.
Line charts as well as histograms are the most common ways to represent scale variables.
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A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Violet measures the distance
from the pole to the stake and from the pole to the tower, as shown in the diagram
below. Find the length of the guy wire, to the nearest foot.
The length of the guy wire, to the nearest foot is 48 ft.
What is mean by foot of Maths?A unit of length (or distance) in US units equal to 12 inches. The abbreviation is: ft. Or sometimes the single quote mark: ' Example: 10 feet can be written 10 ft, or just 10' A foot is exactly 0.3048 meters in the Metric System (the foot is defined that way).
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g mathematically;
According to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft
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