The fraction of the reading assignment done by Tuesday night is 1/2.
What are fractions?Fractions are the numbers that make up a portion of the whole. An object or a collection of objects can be a whole. If a quantity or item is divided into equal pieces, each piece will represent a portion of the entire.A fraction is represented by the ratio a/b, where a represents the numerator and b is the denominator.Given:
Let the total reading assignment be x.
Fraction of the reading assignment finished by Tori on Monday afternoon = (1/6)x
Fraction of the reading assignment finished by Tori on Tuesday afternoon = (1/3)x
The fraction of the reading assignment done by Tuesday night is,
Total - Fraction of the reading assignment completed by Tori
= [tex]x -(\frac{x}{6} + \frac{x}{3} )[/tex]
= [tex]x -(\frac{x+ 2x}{6} )[/tex]
= [tex]x - \frac{3x}{6}[/tex]
= [tex]x -\frac{x}{2}[/tex]
= [tex]\frac{2x-x}{2}[/tex]
= [tex]\frac{x}{2}[/tex]
So, 1/2 of the reading assignment(x) was done by Tuesday night.
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a motor racing track has lenght 5 5/6
a straigt section is 1 1/4
what fraction is the straight section
[tex]\frac{3}{14}[/tex] is the straight section.
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. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 12. 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.
Given Data
Length = 5[tex]\frac{5}{6}[/tex]
Length = [tex]\frac{35}{6}[/tex]
Straight section = 1[tex]\frac{1}{4}[/tex]
Straight section = [tex]\frac{5}{4}[/tex]
Dividing them:
= [tex]\frac{35}{6}[/tex] ÷ [tex]\frac{5}{4}[/tex]
= [tex]\frac{35}{6}[/tex] ×[tex]\frac{4}{5}[/tex]
= [tex]\frac{6}{28}[/tex]
= [tex]\frac{3}{14}[/tex]
[tex]\frac{3}{14}[/tex] is the straight section.
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I have a test tomorow and I dident study i need help what is 2 + 8 ples help
Answer:
10
Step-by-step explanation:
lol XD are you trolling?
Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.
Answer: 240,000
Step-by-step explanation: Ok so to get the answer we first do
10 x 20 which is 200 then you do 200 x 30 which is 6,000 then we times the last number which is 40 which would look like 6,000 x 40 which equals 240,000. Hope this helps but also a quicker way in your head could be lining them up straight and down in your head with all the numbers and with all the zeros you will no the answer will have 4 zeros on the end of the answer then do 1 x 2 = 2 x 3 = 6 x 4=24 so then add the four zeros on the end and there you go you get your final answer of 240,000.
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ ~~ y^{\frac{3}{4}} ~~ }{y^{\frac{1}{2}}}\implies \cfrac{ ~~ y^{\frac{3}{4}}y^{-\frac{1}{2}} ~~ }{1}\implies y^{\frac{3}{4}-\frac{1}{2}}\implies y^{\frac{1}{4}}\implies \sqrt[4]{y^1}\implies {\Large \begin{array}{llll} \sqrt[4]{y} \end{array}}[/tex]
Under his cell phone plan, Carlos pays a flat cost of $57 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Carlos
can use while staying within his budget.
Answer:
57 + 5x < 65
Step-by-step explanation:
57 + 5x < 65
5x < 8
x < 1.6
HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT )I HAVE OTHER QUESTIONS TOO HELP PLS)
The equation of the line perpendicular to the given line and passing through (-3, 7) is; y = (-2/3)x + 5
What is the equation of the Line in slope intercept form?
We are given the equation of a line as; y = (3/2)x - 1
Now, the general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, for our given equation we have;
Slope; m = 3/2
y-intercept; c = -1
Now, for a line perpendicular to this, will have a slope of -1/(3/2) = -2/3
Thus, equation of the line perpendicular to the given line and passing through (-3, 7) is;
y - 7 = (-2/3)(x - (-3))
y - 7 = (-2/3)(x + 3)
y = 7 - 2 - (2/3)x
y = (-2/3)x + 5
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two cards are dealt from a deck of four red cards labeled a, b, c, d and four green cards labeled a, b, c, d. a winning pair is two of the same color or two of the same letter.
The probability of drawing a winning pair which is a pair with the same color OR same letter 0.9388.
The problem we are dealing with is related to probability which is referred to as Probability is essentially how likely something is to happen. At whatever point we're uncertain approximately the result of an occasion, we will conversation around the probabilities of certain outcomes—how likely they are.
Since we are provided with four red cards and four green cards so, the total possible combination of the 8 cards will be
C(8,2) = 28
out of which 2*C(4,2)=12 are the pairs of the same color
therefore the probability of picking a pair with the same color OR same letter is
1 - (12*4)/28^2 = 0.9388
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f(x) = 4x + 6 and g(x) = 1/2 x f (x)
What is the function rule for function g?
g(x) = ____ x+_____
The function rule for function g is g(x)=2x+3.
We are given the function f(x).In mathematics, a function is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are used all the time.The function f(x) equals 4x + 6.The function g(x) equals (1/2)*f(x).We see that the function g(x) is just a modification of the function f(x).In the definition of the function g(x), substitute the value of the function f(x).The function g(x) becomes (1/2)*(4x + 6).Open the brackets and simplify.The function g(x) becomes 2x + 3.To learn more about similar functions, visit :
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2. Is this graph a function?
This is not a function
Answer:
This graph is not a function
Step-by-step explanation:
Because it fails the Vertical line test
The amount of time light takes to travel one meter in a vacuum is 3.3 nanoseconds. To travel one mile it takes 5.4 microseconds.
How many times longer, to the nearest tenth, does it take for light to travel one mile than one meter?
The time to travel one mile is 1636.4 times the time to travel one meter.
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.
The amount of time light takes to travel one meter = 3.3 nanoseconds = 3.3 * 10⁻⁹ s
Time to travel one mile = 5.4 microseconds = 5.4 * 10⁻⁶ s
Ratio of time to travel one mile to time to travel:
one meter = 5.4 * 10⁻⁶ s / 3.3 * 10⁻⁹ s = 1636.4one mile is 1636.4 times the time of one meter.Find out more on equation at: https://brainly.com/question/2972832
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Two Internet service providers charge an installation fee plus a monthly service fee. The table shows the total costs in dollars) for different numbers of months at Company A. The total cost $y$ (in dollars) for $x$ months of service at Company B is represented by $y=45x+50$ . Which company charges less per month?
Company A
Months, x Total cost, y
2
3
4
5
6
$180
$220
$260
$300
$340
An installation fee as well as a monthly service cost are charged by two Internet service providers the equation $y=45x+50$. Company A charges less per month then Company B.
Given that,
An installation fee as well as a monthly service cost are charged by two Internet service providers. The table displays the total expenses at Company A in USD for various lengths of time. The equation $y=45x+50$ represents the total cost of $y$ (in dollars) for $x$ months of work at Company B.
We have to find which company has monthly fees that are lower.
Company A charges =220-180=40
Company A charges $40 per month.
Company B charges $45 per month
Because the slope is 45.
Therefore, Company A charges less per month then Company B.
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Please Simplify
√81x¹²y³
Answer:
9x^6y√y
Step-by-step explanation:
√81x¹²y³ = √9*9* x^6* x^6 * y*y*y = 9x^6y√y
9. Higher Order Thinking Explain why when dividing fractions with the
same denominator, you can find the quotient by dividing the numerators.
Support your answer with an example using one or more mixed numbers.
One can find the quotient by dividing the numerators because they are fractions of the same numbers so if you divide the numerator, you will get the quotient
What is a quotient?A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
For example, 12/16 ÷ 6/16 = 2. Since they've common denominator, this will be = 12/6 = 2. This explains the reason for the statement above.
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What is the WHOLE NUMBER solution to this system? Write your answer as an ordered pair (x, y). If the system does not have a solution, write NONE in the answer. Sy=2x² + 16x + 24 y=-x-2
Answer: 2(2−x)(x−6)
Step-by-step explanation:
I need help making sure these are the right answer thank you in advance!
Answer:
They are all incorrect except for C
Step-by-step explanation:
A. y = 4
B. y = -2x + 4
D. x = -4
(a) according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
according to the line of best fit, what would be the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours?
1 hour = 60 minutes
46 hour = 46*60= 2760 minutes
in one year total number of days =365 days
in 365 days spent on project= 2760 minutes
per day spent on project = 2760/365
= 7.56minutes
Hence according to the line of best fit, the predicted number of minutes spent on a project per day for an average yearly overtime of 46 hours would be 7.56 minutes
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Solve for t.
-17 < 3t-14 + 14ts -8
Answer:
Step-by-step explanation:
Evaluate the function as indicated, and simplify.
g(x) = 2x² - 3x + 1
g(x) = 2x² - 3x + 1 =
-2 = 2[tex](x+2)^{2}[/tex]+ 3(x+2) - 1
-2 = 2( [tex]x^{2}[/tex] + 4x + 4) + 3(x+2) - 1
-2 = 2[tex]x^{2}[/tex] + 8x + 8 + 3x + 6 - 1
-2 = 2[tex]x^{2}[/tex] + 11x + 13
0 = 2[tex]x^{2}[/tex] + 11x + 15
0 = ( 2x + 5 )(kx + 3 )
2x + 5 = 0 ---> kx= -5/2
x+3=0 ----> x = -3
Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output.
one of them sums up a function the best?
Recognize that a function is a particular kind of relation where a rule states that every input must be paired with exactly one output. So, this is the best choice.
The function's type is f/x)= 2x 2 + 3x 1.
Explanation: Since the polynomial f(x)=2x33x+1 is continuous and contains continuous derivatives of all orders for all real x, it unquestionably meets the theorem's hypotheses.
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Develop a table of values for each equation. Find at least three ordered pairs for each one
1.y=x+4
2.y=3x-6
To develop a table of functions for the values we have
y = x + 4
x y
0 4
1 5
2 6
3 7
the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)
y = 3x - 6
x y
0 -6
1 -3
2 0
3 3
the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)
How to find the table of valuesy = x + 4
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7
y = 0 + 4 = 4
y = 1 + 4 = 5
y = 3x - 6
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3
y = 3(0) - 6 = 0 - 6 = -6
y = 3(1) - 6 = 3 - 6 = -3
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please solve the questions on the paper
The values of the equations that are given will be:
17. b + 9 and -b + 7
18. c - 4 and c + 4
19. a + b - c and a + b + c
20. 5 + 2b and 5 - 2b
21. 4 - h - b and -b + h - 4
22. 2 - b - 2h and b - 2
How to express the equation?Based on the information given, it should be noted that the equations will be expressed thus:
It should be noted that an equation is used to show the relationship between the variables. The equations will be:
17. |b + 1| + 8
= b + 1 + 8
= b + 9
and
|b + 1| + 8
= -b - 1 + 8
= -b + 7
18. 5 - |c + 1|
= 5 - c + 1
= - c + 4
= c - 4
and
5 - |c + 1|
5 + c - 1
= c + 4
19. |a + b|- c
= a + b - c
and
-a - b - c
Multiply through by -
= a + b + c
20. 5 + |2b|
= 5 + 2b
and
5 + |2b|
= 5 - 2b
21. |4 - h| - b
= 4 - h - b
and
-4 + h - b
= -b + h - 4
22. |2 - b - h| - h
= 2 - b - h - h
= 2 - b - 2h
and
-2 + b + h - h
= b - 2
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How many times is 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7
The number of times that 8 x 10 to the negative power of 5 larger than 2 x 10 to the negative power of 7 is 400.
How can the the number of times that is required to find?T calculate the number of times that 8* 10^- 5 larger than 2 *10 ^-7, then we will need to perform little division operation on the given numbers, since we know that 8* 10^- 5 larger than 2 *10 ^-7, then, the division will be :
( 8* 10^- 5 ) /( 2 *10 ^-7) = 400
This implies that the value of 8* 10^- 5 is larger than 2 *10 ^-7, in 400 folds.
Therefore, option C is correct.
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Work out the surface area of the cylinder where the radius is 7 and the height is 12
Answer
625.52(pie)
Step-by-step explanation:
5 3/4 - 2 1/4
help me please love
Answer:
3 2/4Step-by-step explanation:
5 3/4 - 2 1/4
whole numbers
5 - 2 = 3
fractions
3/4 - 1/4 = 2/4
so
3 2/4 is the answer
Jamie is planning on dropping a ball down from a tall building to measure its velocity. In the process, she also wants to know how tall the building is. She uses a weird measuring tool that finds that the ball traveled -700 feet. She doesn’t know how to translate this into an answer she and her teacher will understand. What can she do?
She can translate the measurement into metric unit system of "meters" for her and her teacher to understand better.
As per the question statement, Jamie dropped a ball down from a tall building to measure its velocity and the height of the building, and she used a weird measuring tool that gave a measurement the ball traveled "-700" feet.
We are required to provide a solution on how Jamie can translate this measurement so that, she and her teacher can understand it better.
To solve this question, we will simply ignore the "negative" sign that came along with the measurement, and convert the magnitude of the measured value into the metric unit system of meters, using the standard conversion rate of [1 foot = 0.305 meters], i.e.,
700 feet = (700 * 0.305) meters,
or, 700 feet = 213.5 meters.
Hence, the ball travelled 213.5 meters when dropped from the top of building, or, the height of the building is 213.5 m.
Metric Unit System: It is the decimal measuring system, based on the meter, liter, and grams as units of length, capacity, and weight or mass, which was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and standardized in Republican France in the 1790s.To learn more about the Metric Unit System, click on the link below.
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Solve the system using matrices. Enter fractional answers in decimal form.
x + 5y + 3z = 6
4y -z = 3
6x - 2y + 4z = 12
The solution to the system of three linear equations is the ordered triple
Answer:
f
Step-by-step explanation:
find the difference using the number line 3-1
Solve for value of x which makes line m and n parallel
What is the truth value for the following conditional statement?
p: false
q: true
~q —> ~p
OFT F
OFT T
OTT T
OFF F
Find the value of x.
(3x + 3) (5x + 1)
Please help me :)
Answer:
22
Step-by-step explanation:
The angles form a linear pair, and thus add to 180°.
[tex]3x+3+5x+1=180 \\ \\ 8x+4=180 \\ \\ 2x+1=45 \\ \\ 2x=44 \\ x=22[/tex]
Is Simon’s work correct?
find the distance between A(7, 10) and B(9,-3). Write your answer as a radical and as a decimal rounded for nearest ten.
A(7,10) and B(9,-3) are separated by 13.1 units.
How to calculate distance between two points?
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is sometimes used to calculate the distance between two places.
The distance between two locations on a plane is the length of the line segment connecting them. The following equation is frequently used to determine the separation between two points:
d = √[(x₂-x₁)² + (y₂-y₁)²] -- (i)
Given, the two points are A≡(7,10) and (9,-3)
On comparing A and B with (x₁, y₁) and (x₂, y₂) respectively, we get
x₁ = 7, y₁ = 10, x₂ = 9, y₂ = -3
Therefore using the formula in (i), we get
Distance between A & B = √[(9-7)²+(-3-10)²] = √173 = 13.15 = 13.1 units
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