The equivalent expression is,
''Negative two over fifteen times x plus two''
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
We have to given the expression as;
''One fifth times the quantity 3 times x plus 10 end quantity minus 11 over 15 times x''
Now, Write in mathematical expression as,
⇒ [tex]\frac{1}{5} (3x + 10 ) - \frac{11}{15} x[/tex]
We can solve it as,
⇒ [tex]\frac{1}{5} (3x + 10 ) - \frac{11}{15} x[/tex]
⇒ [tex]\frac{3}{5} x + \frac{10}{5} - \frac{11}{15} x[/tex]
⇒ [tex]\frac{3}{5} x - \frac{11}{15} x+ 2[/tex]
⇒ [tex]\frac{-2}{15} x + 2[/tex]
Hence, It can be written as;
⇒ Negative two over fifteen times x plus two.
Therefore, The equivalent expression is,
''Negative two over fifteen times x plus two''.
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Question 5(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write and solve an equation that represents the following math sentence.
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
26 13.5+- m=5
m
2.5
26=13.5+m; m = 31.25
2.5
26 13.5+ 2.5m; m = 5
O26 13.5+2.5m; m = 31.25
The expression of the statement is 26 = 13.5 + m/2.5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to determine the rational expression?The mathematical statement is given as
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
Let the number be m
So, we have
Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.
Quotient means divide
So, we have
Twenty-six equals the sum of 13.5 and m/2.5
Sum means addition
So, we have
Twenty-six equals 13.5 + m/2.5
Equals means =
So, we have
Twenty-six = 13.5 + m/2.5
Rewrite as
26 = 13.5 + m/2.5
Hence, the expression of the statement is 26 = 13.5 + m/2.5
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Answer:
A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.
To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5
To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:
26 - 13.5 = m/2.5
12.5 = m/2.5
m = 12.5 * 2.5
m = 5
Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.
Argyle wants to make T-shirts for students. Customink is willing to offer a deal with the school that each shirt will cost $5 plus a $50 fee for each shirt color. Argyle wants to make a teal and a purple shirt.
Write an equation that shows the total cost (t) for the shirts (s) made on two different colors. Also explain what the variables and constraints are.
Answer:
See explanation
Step-by-step explanation:
c=different number of colors
t=5s+50c ==> c=2
t=5s+50(2)
t=5s+100
5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.
The area of a triangular pendant on a necklace is square inch. The height of the
triangle is 14 inches. What is the length of the base of the triangle?
Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.
What is the length of the base of the triangular pendant?The area of a triangle is expressed as;
A = 1/2 × base × height
Given the data in the question;
Area of the triangular pendant A = 70 square inchHeight h = 14inBase = ?To determine the base of the triangular pendant, we plug the values into the equation above.
A = 1/2 × base × height
70 = 1/2 × base × 14
70 = 14/2 × base
70 = 7 × base
base = 70/7
base = 10 inches
Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.
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Can someone help me please
Answer: U': (0, 9)
V': (0, 3)
W': (-9, 6)
Step-by-step explanation:
In a 90 degree clockwise rotation about the origin for this triangle, the x and y coordinates of the triangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening over the x-axis, where the y-values will be changing signs while the x-values will still have the same signs.
U: (-9, 0) ==> (0, -9) ==> U': (0, 9)
V: (-3, 0) ==> (0, -3) ==> V': (0, 3)
W: (-6, -9) ==> (-9, -6) ==> W': (-9, 6)
What is the solution
{3x-2y=12
Answer:
Step-by-step explanation:
Answer:
x = 4 + 2y/ 3
Step-by-step explanation:
Mathematics, 26.09.2021 14:00, aliyahgregory
Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6.
Applying the definition of the midpoint of a segment, we have:
x = 6
PR = 36 units
What is the Midpoint of a Line Segment?If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.
Also, PQ + QR = PR
Given the following:
QR = 18
PR = 5x + 6
Thus, we can create the following equation:
2(QR) = PR
Substitute
2(18) = 5x + 6
36 = 5x + 6
36 - 6= 5x + 6 - 6
30 = 5x
30/5 = 5x/5
6 = x
x = 6
PR = 5x + 6
Plug in the value of x
PR = 5(6) + 6
PR = 36 units
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Quadrilateral M is a scaled copy of quadrilateral L.
18
36
Quadrilateral L
What scale factor takes quadrilateral L to quadrilateral M?
18
Quadrilateral M
Answer:
Step-by-step explanation:
3/5
30%= simplify your answer
Answer:
3/10 in fractions, 0.3 in decimals.
Step-by-step explanation:
I dont know how to explain for decimal, but for fractions, just divide by 10, and you will get 3, and since 10 can fit in 100 10 times, you just put 3/10 which means 30/100. for decimals, just move the percent two parts backwards, and it should be 0.3 or .30. hopefully it helped (for fraction).
A hiking trail is shown as 14 cm on a map.
The scale is 1 : 150000
How far in km is it in real life?
Answer:
21km
Step-by-step explanation:
1km=100000cm
14x150000=2100000cm=21km
The distance in real life in kilometers by the given scale factor will be 21 kilometers.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
As per the given,
Scale factor = 1 : 150000
It means 1 cm will convert to 150000 cm.
In real life = 14 x 150000 = 2100000 cm
2100000 cm = 21000 m = 21 kilometer
Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".
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The heights of women aged 20-29 in the United States are
approximately Normal with mean 64.1 inches and standard
deviation 3.7 inches. Men the same age have mean height
69.4 inches, with standard deviation 3.1 inches.
Cheryl D. Fyar et al., "Anthropometric reference data for children and adults:
United States, 2011-2014, Val and Health Statistics, Series 3, no. 39 (August
2016), at www.ode govchs. This report provides the means of various
anthropometric measurements. Standard deviations were computed from the
sample size and reported standard errors of the mean. Instructions on
measuring upper arm length are in the National Health and Nutrition
Examination Survey: Anthropometry Procedures Manual, January 2007.
M
B
O
Surat pen
What is the z-score for a woman 5.5 feet tall? Give your
answer to two decimal places.
-1.16
Incorrect
N
Sep 8
10:28
Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Considering that each feet has 12 inches, the parameters are given as follows:
[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]
Hence the z-score is found as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (66 - 64.1)/3.7
Z = 0.51
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HELP on 53. It’s asking you to explain for 53. Need help with 53 three please. I will give a whole lot of extra points and a Brainly for whoever does it.
Step-by-step explanation:
Is true, even if we are not given the truth values of q, r and s.
The worlds smallest help is 3/4 in long. An adult western banded help is 7 1/3 times as long. How long is an adult male western banded geko
The correct answer is 5.5.
Numerator and denominator are the two components of a fraction. The denominator, which is not zero, comes below the line dividing the numerator from the denominator.
The simplest way to answer this question is to multiply the mixed number and fraction together after converting them to decimals.
We are aware that we must divide the numerator by the denominator in order to convert a fraction to a decimal.
1 ÷ 3 Equals 0.3... (This decimal repeats itself.)
0.3... + 7 Equals 7.3... (Continues to repeat)
7/3 equals 7.(3) in decimal form.
3 ÷ 4 = 0.75
As a decimal, 3/4 is 0.75.
Add the two decimal places together:
7. (3) × 0.75 = 5.5
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Can somebody help me if you know what this is
Answer:
C
Step-by-step explanation:
what is the greatest common factor of 72 and 54 ?
in other words, what is the biggest number that divides both numbers without remainder ?
I use a prime factor analysis (identify all the prime factors).
72 :
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 2 no
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
72 = 2⁴×3²
54 :
54 ÷ 2 = 27
27 ÷ 2 no
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
54 = 2×3³
the largest number that can divide them both without remainder is the combination of the prime factors they have in common :
2 × 3² = 18
Solve for w.
5w² = -13w+6
Answer:
W = -3
Alternatively 2/5
Answer:
2/5,-3 or 0.4,-3 Bainlist please
Step-by-step explanation:
In which situation would the result be 0?
Answer:
C, adding -1 1/2 to the coordinate of point J.
Step-by-step explanation:
J= 1 1/5
Equation : 1 1/5+(-1 1/2)
Use distributive property and by multiplying the + sign by the negative #, you get a negative.
- positive x negative = negative
So, : 1 1/5-1 1/5
= 0
definition for piecewise function
Answer:
A piecewise function is a function that is defined by different formulas or functions for each given interval.A non-void subset of A x B is a function from A to B if each element of A appears in some ordered pair in f and no two pairs ...Let f: A → B.
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
OA. The quadratic function is the inverse of the square root function
with a limited domain.
OB. The quadratic function is one-to-one and the square root function
is not.
OC. The quadratic function and the square root functions are in no way
related other than they are both functions.
OD. The square root function is the inverse of the quadratic function
with a limited domain.
The option that provides the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.
How to determine the best description of the relationship between a quadratic parent function and a square root parent function?A quadratic parent function is represented as
y = x^2
A square root parent function is represented as
y = √x
As a general rule, a quadratic parent function has no limited domain while a square root parent function has a limited domain i.e. no negative numbers
Also, the square root function is the inverse of the quadratic function
Hence, the best description of the relationship between a quadratic parent function and a square root parent function is (d) the square root function is the inverse of the quadratic function with a limited domain.
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write an expression showing allowable number of players on a team
In linear equations, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Let the number of players be n
Since each team can have between 2 and 4 players
n ≥ 2 or 2 ≤ n, and n ≤ 2
Therefore, the allowable number of players on a team is given by 2 ≤ n ≤ 4
2) There are four players in Han's team and a perfect score is 20
Therefore, the number of points Han's team earns in one round if every player earns a perfect score is given by 4 * 20
3) There are four players in Han's team
Total score if each player in Han's team earns a perfect score is 4 * 20 = 80
Let the total score of Han's team be T
Therefore, the number of points, Han's team earns in one round if no players earn a perfect score is given by T < 80
4) If two team have 4 players, it is given by 2 * 4
If the rest four teams have 3 players each, it is given by 4 * 3
Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each is given by (2 * 4) + (4 * 3)
5) Let the possible number of players in a game with be P
Maximum number of players in eight teams = 4 * 8 = 32
Minimum number of players in eight teams = 2 * 8 = 16
P ≤ 32 and P ≥ 16 or 16 ≤P
Therefore, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
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The complete question is -
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents
1. The y-intercept of the graph of an equation will _____have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will ______ pass through the origin.
3. True or false: The graph of Ax + By = 0 will always pass through the origin.
Using function concepts, it is found that:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
3. The statement is true.
What is the y-intercept of a function?The y-intercept of a function is the value of f(x) when x = 0, that is, the value of y for which the function crosses the y-axis.
If the function crosses the y-axis at y = 0, it will have a y-coordinate of 0, hence:
1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.
One example of linear equation with one variable is: y = 0.
Which passes through the origin, but y = 2 does not, hence:
2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.
In item 3, the intercept is of By = 0 -> y = 0, hence when x = 0, y = 0, meaning that the statement is true, as the function will always pass through the origin.
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evaluate 4(3-1)2
A. 128
B. 16
C.64
D.32
Answer:
B.16
Step-by-step explanation:
Answer:
B:16
Step-by-step explanation:
Always start in the brackets so
3-1=2 and since the numbers are right by the brackets you multiply
2x4=8 8x2=16
Brainliest, 40 pts, & 5-stars.
Consider the following polygon. Determine the measure of both angles A and B. Show your work. (Note: image is not drawn to scale)
Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;
Angle A: 119º.Angle B: 93º.What is the sum of the internal angles of a polygon?The sum of the internal angles of a polygon with n vertices is given by the following equation:
S = (n - 2) x 180º.
For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:
S = (6 - 2) x 180º = 720º.
Considering each internal angle, we can solve for x as follows:
13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720
29x + 517 = 720
29x = 203
x = 203/29
x = 7.
Then the measures are given as follows:
Angle A: 16 x 7 + 7 = 119º.Angle B: 13 x 7 + 2 = 93º.More can be learned about the sum of the internal angles of a polygon at https://brainly.com/question/224658
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A sample of 50 high school and college students were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV. 40% of the sample is high school students. From the sample, it is found that 22% were high school students who chose playing sports, and 6% were high school students who chose dancing. 10% were college students who chose sports and 18% were college students who chose watching movies/TV. 38% of the students surveyed chose dancing.
Which of the following is a correct two-way relative frequency table for the data?
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 0.22 0.06 0.12 0.40
College students 0.10 0.32 0.18 0.60
Column totals 0.32 0.38 0.30 1
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 0.11 0.03 0.06 0.40
College students 0.05 0.16 0.09 0.60
Column totals 0.16 0.19 0.15 1
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 11 3 6 20
College students 5 16 9 30
Column totals 16 38 30 50
High School and College Student Leisure Time Activity Preferences
Sports Dancing Movies/TV Row Totals
High school students 22 6 12 40
College students 10 32 18 60
Column totals 32 38 30 100
From the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A
How to identify a two-way relative frequency table?
A two way frequency table is a way to display frequencies or relative frequencies for two categorical variables. One category is represented by rows and a second category is represented by columns.
Now, we are given the following;
Total Number of students surveyed = 50 students
Percentage that are high school students; 40% = 0.4
Percentage of high school students who chose playing sports; 22% = 0.22
Percentage of high school students who chose dancing; 6% = 0.06
Thus, Percentage of high school students who chose watching movies/TV = 0.4 - (0.22 + 0.06) = 0.12
Percentage that are college students; 100% - 40% = 60% = 0.6
Percentage of college students who chose playing sports; 10% = 0.10
Percentage of college students who chose watching movies/TV; 18% = 0.18
Thus, Percentage of college students who chose dancing = 0.6 - (0.1 + 0.28) = 0.32
Looking at the given options, the only one that represents the correct two-way relative frequency table for the data is; Option A
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Answer:
Option A
Step-by-step explanation:
Option A
5. Give the ratio of boys to girls in a class if there are 15 boys and 18 girls.
Kisha can play 3 games of pool in 45 minutes. If kisha plays 5 games, predict how much time Kisha plays
Answer: 75 minutes ( 1 hour 15 minutes )
Step-by-step explanation:
3 games = 45 minutes
45 divided by 3 = 15
1 game = 15
15 x 5 = 75
5 games = 75 minutes
Denise and Stacey went to a carnival. The admission fee was $6 per person.
Each ride at the carnival costs c dollars. The game booths charged g dollars
for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3
games, while Denise played 2 games. Which expression represents the total
amount of money that Denise and Stacey spent at the carnival?
which of the following numbers would be an integer, but not a natural number -3/5, -8.2, 5 or -22
The number -22 is an integer but not a natural number.
Integers are subsets of real numbers which are all numbers excluding fractions and decimals.
There are 3 types of integers.
positive integers such as 6, 8 , 17 , 854negative integers such as -1 , -4 , -65zero integer or 0Natural numbers are subset of integer numbers which contains all the positive integers such as 7 , 45 , 685 .
Natural numbers are also the subset of real numbers.
The given numbers are:
-3/5 is not an integer as it is a fraction.-8.2 is not an integer ,it is a negative real number.5 is a positive integer also a natural number.-22 is a negative integer but not a natural number.Hence only -22 is an integer but not a natural number.
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a circle has a radius of 3m. find the length s of the arc intercepted by a central angle of 2pi/3 radians
Answer:?
Step-by-step explanation:
50 PTS
Which relation is a function?
Answer:
Options C and DStep-by-step explanation:
Looking at the graphs we can state that:
A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.
B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.
C) Is a function as each x-value has a unique y-value:
(-3, 2), (- 1, 1), (0, - 3), (4, 1)Passes the vertical line testD) Is a function as each x-value has a unique y-value:
(-3, -2), (-2, - 1), (0, 3), (1, 0), (2, - 3)Passes the vertical line testLet f(x) - 3 and g(x)=8+11
Work out the outer surface area of this open top box. 9m 3m 2m
The outer surface area of this open top box is 102 [tex]m^{2}[/tex].
What is surface area?The outer surface area of this open top box is given by SA=2lw+2lh+2hw
l = 9m
w= 3m
h = 2m
SA = 2×9×3 + 2×3×2 + 2×2×9
SA = 102 [tex]m^{2}[/tex]
The quantity of space enclosing the exterior of a three-dimensional shape is its surface area.
By summing the areas of the base, top, and lateral surfaces (sides) of the object, one may determine the total surface area. This is accomplished by measuring in square units and applying various area calculations.
The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.
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