Answer:
1 2/6
Step-by-step explanation:
Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data were as follows. 58 preferred comedies. 38 preferred variety shows. 44 preferred serious drama. 19 preferred comedies and variety programs. 14 preferred variety and serious drama. 15 preferred comedies and serious drama. 7 preferred all types. 5 did not like any of these TV show types. If you were the personnel manager, would you hire Matt on the basis of this survey
Answer: No, I wouldn't because he didn't do what he was told.
Step-by-step explanation: Using Matt's survey we draw a Venn Diagram.
Venn Diagram is a diagram used to show the logical relationship between two or more set of items.
The survey Matt did is represented below.
To construct the diagram:
1) Create 3 sets of data (represented by the circles) intersecting each other;
2) The space where the three intersect is the number of people surveyed that preferred all types. So, we write 7 in the space;
3) According to the research, 19 preferred comedies and variety. But there are already 7 in the intersect, so, 12 has those preferences;
4) Following the same logic, 14 preferred variety and drama. Then, 7 has those preferences;
5) And, 8 preferred comedy and drama;
6) Now, to determine how many of them has an exclusive preference, we take the data and subtract the already known values:
Comedy: 58 - 12 - 7 - 8 = 31;Variety: 38 - 12 - 7 - 7 = 12;Drama: 44 - 8 - 7 - 7 = 22;7) 5 don't like any of the types, so it is represented outside the three circles;
After creating the Diagram, we can determine how many people answered the poll:
total = 31 + 12 + 12 + 8 + 7 + 7 + 22 + 5
total = 104
Therefore, as a personnel manager, I wouldn't hire Mr. Matic because he was supposed to poll 100 people but he polled 104 people.
WILL GIVE BRAINLIEST FOR RIGHT ANSWER.
Graph the function.
h(x) = x^2+ 2x
Answer:
See attachment.
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)FunctionsFunction NotationStep-by-step explanation:
The fastest way to graph a function is to plug it into a graphing calculator.
Graphing by hand would require a table of values, plotting those points, and connecting the dots.
We can also use the parent function x² and determine the graph.
Enter a phrase for the expression. 49s
Find angle picture below
Answer:
Angle C = 28°
Angle D = 59°
Angle DEC = 63°
I need help quick!!!!
Answer: I cant see the picture
Step-by-step explanation:
Plot the x-intercepts and make a sign chart that represents the function shown below
Step-by-step explanation:
step 1. the x intercepts (called zeros) are where y = 0 or where the graph is on the x axis
step 2. the zeros are -3, 0, 2, 5.
step 3. therefore there are 5 intervals
step 4. ( ,-3) - f(x) = "-"
step 5. (-3, 0) - f(x) = "+"
step 6. (0, 2) - f(x) = "+"
step 7. (2, 5) - f(x) = "-"
step 8. (5, ) - f(x) = "+".
A function assigns the values. The x-intercept for the given function is -3, 0, 2, and 5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function can be rewritten as,
f(x) = x²(x-5)(x+3)³(x-2)
f(x) = (x-0)² (x-5) (x+3)³ (x-2)
Now, the value of x in the given function, or the x-intercept can be found by substituting the value of the factors of function as 0.
0 = (x-0)² (x-5) (x+3)³ (x-2)
(x-0)² = 0
x = 0
x-5 = 0
x = 5
x+3 = 0
x = -3
x - 2 = 0
x = 2
x = -3, 0, 2, 5
Hence, the x-intercept for the given function is -3, 0, 2, and 5.
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What is 27 players for 12 spots expressed as a rate?
Answers
9 players 4 spots
9 players 2 spots
12 spots 27 players
3 plays 2 spots
Answer:
9 p 4 s
Step-by-step explanation:
That's the answer.
A. 9 players 4 spots
what is rate and its example?In math, a rate is a ratio that compares two different portions that have distinct units. for example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
rate is a ratio among measurements using different units, for example, births per year, cost per person, words per minute.
All rate problems can be solved by using the formula D = R(T), which translates to distance (D) equals rate (R) multiplied by time (T)
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Russia bought 9 books for $3 each sold them making a profit of $18 for what price did she sell each book?
Answer:
$45
Step-by-step explanation:
Profit= $18
Books = 9
Sold each at = $3
So, total CP (Cost Price)= 9*3 = $ 27
Also Profit = SP - CP
Therefore, SP = Profit + CP
= 18 + 27 = $45
Write an equivalent expression. 4x - x
Answer:
5x-2x
Step-by-step explanation:
4x-x = 3x
so,
5x-2x = 3x
The equivalent expression would be; 5x-2x
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
We are given that the expression as; 4x - x
We need to find an equivalent expression.
Therefore, solving further;
4x-x = 3x
Thus, we can also create one expression as;
5x-2x = 3x
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A. a scientist is studying the change in population for two species of fish in a lake. The table shows how the numbers of each species changed during a 4-year period.
YEAR: 1; 2; 3; 4
FISH A: 500; 520; 540; 560; 580
FISH B: 400; 430; 460; 490; 520
The scientist uses a linear model to predict future populations of both fish. Explain why, given the data in the table, population of fish A and the population of fish B can be modeled using linear equations.
Answer:
The data can be modeled using linear equatins, because there's the same amount of population for fish A (+20 per year) and fish B (+30 per year) every year.
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
The bus driver has driven 49 miles this morning. His route is 123 miles. How much further must he drive to finish his route
Answer:
74 miles
Step-by-step explanation:
Answer:
74 miles
Step-by-step explanation:
123-49=74
. A un concierto asistieron 10000 personas , lo que representó un total de
$6600000 en ingresos por venta de boletos. Había boletos de dos precios
de acuerdo con la proximidad al escenario: general ($500) y preferente
($1300). ¿Cuántos boletos de cada tipo se vendieron?
Answer:
Número de boletos general = 8000
Número de boletos preferente = 2000
Step-by-step explanation:
Total de personas = 10000 personas
Venta total = $6600000
Ecuación para la venta total en terminos de boletos vendidos:
Número de boletos general = variable g
Número de boletos preferente = variable p
$500g + $1300p = $6600000
Simplifica la ecuación:
5g + 13p = 66000
Subsituye una de las variables usando la ecuación g + p = 10000:
g + p = 10000 => g = 10000 - p
5g + 13p = 66000 => 5(10000 - p) + 13p = 66000
Aislar la variable p:
5(10000 - p) + 13p = 66000
50000 - 5p + 13p = 66000
8p = 16000
p = 16000/8 = 2000
g = 10000 - p = 10000 - 2000 = 8000
Número de boletos general = 8000
Número de boletos preferente = 2000
What is the slope of a line that is perpendicular to the line y = 1/6x + 4
The slope of the line is
Answer:
-1/6x
Step-by-step explanation:
for a slope to be perpindicular it has to be the opposite.
Hello there! :)
Perpendicular lines have slopes that are opposite reciprocals. It means that if we have a number, we flop it over and make it negative.
We have 1/6.
We flop it over:
6/1
Now, we make it negative:
-6/1
-6/1 simplifies to
-6
Hope it helps!
If you have any question, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help :)
Gina has one-third scale model of a three-dimensional solid, meaning that all lengths
of the model are 1/3 of the corresponding lengths in the full-size solid. If the volume of
Gina’s model is 20 cubic inches, what is the volume of the full-sized solid?
Answer:
volume is 540 inches^3
Step-by-step explanation:
The computation of the volume of the full sized solid is given below:
The length would be
[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]
And, the volume is
[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]
As the volume is given 20 cubic inches
So,
[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]
hence, volume is 540 inches^3
final solution to the system of equations given below
x=-4
5x+4y=-10
Answer:
(-4, 5/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x = -4
5x + 4y = -10
Step 2: Solve for y
Substitution
Substitute in x: 5(-4) + 4y = -10Multiply: -20 + 4y = -10[Addition Property of Equality] Add 20 on both sides: 4y = 10[Division Property of Equality] Divide 4 on both sides: y = 10/4Simplify: y = 5/2S(n) = 3n + 4, n = { 1, 2, 3, 4 }
Write the recurring decimal 0.1 as a fraction in its simplest form
Answer:
1/9
Step-by-step explanation:
lol
what is this 3d shape called
Answer:
The name of the shape is Hexagonal Prism
PLEASE HELP!!!
what is the length of segment SR? units
Answer:
Its 12
Step-by-step explanation:
(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?
A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces
Answer:
your answer is c (56 fluid ounces)
Step-by-step explanation:
what is the answer for the for this equasion
x=5x6
Answer:
x=30 should be the answer
Answer:
x=30
Step-by-step explanation:
x=5×6
Multiply 5 and 6 to get 30.
x=30
(3.5 x 10^5) : (7x10^8)
What is the answer to this question?
: is divide
Answer:
5 • 10^-4 I evaluate this by using scientific notation.
The value of the ratio (3.5 x 10⁵) : (7x10⁸) is 0.0005.
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
To solve (3.5 x 10⁵) : (7x10⁸), we can simplify the expression by dividing the numerical coefficients and dividing the exponents separately.
Dividing the numerical coefficients 3.5 and 7, we get:
3.5 ÷ 7 = 0.5
Dividing the exponents 5 and 8, we get:
10⁵ ÷ 10⁸ = 10⁵⁻⁸
= 10⁻³
Therefore, the simplified expression is:
0.5 x 10⁻³
We can further simplify this expression by converting 10⁻³ to a decimal:
10⁻³ = 1/1000 = 0.001
So, the final answer is:
(3.5 x 10⁵) : (7x10⁸) = 0.5 x 10⁻³
= 0.5 x 0.001
= 0.0005
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I need help with this also
Answer:
Part A: $336.4
Part B:279.2645625
Step-by-step explanation:
$320+5.125% tax = 336.4
Part B:$279.2645625-5.125% tax = 279.2645625 bucks.
Thank you and good luck cheating
4x -(9 - 3x) = 8x -1
Answer:
x = -8
Step-by-step explanation:
4x - (9 - 3x) = 8x - 1
remove parenthesis
4x - 9 + 3x = 8x - 1
add 9 to both sides
4x + 3x = 8x + 8
subtract 8x from both sides
-x = 8
x = -8
The solution to the equation 4x - (9 - 3x) = 8x -1 is x = -8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
4x - (9 - 3x) = 8x -1
Open the brackets
So, we have
4x - 9 + 3x = 8x - 1
Evaluate the like terms
So, we have the following representation
7x - 9 = 8x - 1
Next, we have
8x - 7x = 1 - 9
So, we have
x = -8
Hence, the solution is x = -8
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Find the area of each figure below
Answer:
25. [tex]27a^{3}b^{2}[/tex]
26. [tex]3\pi x^{3}y[/tex]
Step-by-step explanation:
For 25:
[tex]A = \frac{a+b}{2} h[/tex] (area of a trapezoid)
[tex]A=\frac{11a^{2}b+7a^{2}b}{2} *3ab[/tex] (substitute terms)
[tex]= \frac{18a^{2}b}{2}*3ab[/tex] (collect like terms)
[tex]= 9a^{2}b*3ab[/tex] (reduce the fraction by crossing out 2)
[tex]= 27a^{3}b^{2}[/tex] (calculate)
For 26:
[tex]A=\pi r^{2}[/tex] (equation of area of a circle)
[tex]A=\pi (3x^{3} y)^{2}[/tex] (enter the radius)
[tex]= 3\pi x^{3} y[/tex] (communtative property to reorder the terms)
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equivalent expressions.
x − 4x + 6y + (14x − 5y)
7x + y
11x + y
3x + 3y + 2(2x − y)
7x − 8y
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
5(x + y) + 6(x − y)
11x − y
arrowBoth
arrowBoth
arrowBoth
arrowBoth
Reset Next
The given expressions and their equivalent expressions are:
x − 4x + 6y + (14x − 5y) ==> 11x + y3x + 3y + 2(2x − y) ==> 7x + y(5x − 3y) − x + 3x − 5y ==> 7x - 8y4(x + y) − 3(x + y) ==> x + y5(x + y) + 6(x − y) ==> 11x - yWhat are Equivalent Expressions?Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.
Let's evaluate and simplify each of the given expressions:
x − 4x + 6y + (14x − 5y)
Open bracket
x - 4x + 6y + 14x - 5y
Combine like terms
11x + y
Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y
3x + 3y + 2(2x − y)
Open bracket
3x + 3y + 4x - 2y
Combine like terms
7x + y
Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.
(5x − 3y) − x + 3x − 5y
5x - 3y - x + 3x - 5y
7x - 8y
Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.
4(x + y) − 3(x + y)
4x + 4y - 3x - 3y
x + y
Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.
5(x + y) + 6(x − y)
5x + 5y + 6x - 6y
11x - y
Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.
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Answer:
CORRECT
Step-by-step explanation:
This needs to be done quickly!!
Answer:
3x-5
Step-by-step explanation:
Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?
Answer:
It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end
