An algebraic expression which could equal n for some integer t include the following: C. 4t - 1.
What is an integer?In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1)
How to determine n for some integer t?Since the remainder is equal to three (3) when a positive integer n is divided by 4, we would write an algebraic expression for the word problem and then evaluate it as follows;
n = 4t + 3
n = 4(t - 1) + 3
n = 4t - 4 + 3
n = 4t - 1.
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When a positive integer n is divided by 4, the remainder is 3. Which of the following could equal n for some integer t?
(A) 4t +2
(B) 4t
(C) 4t - 1
(D) 4t - 2
(E) 4t - 3
Please Help With This Math Question
The situations are classified as survey, observational study or experiment as follows:
3. Experiment.
4. Observational study.
5. Survey.
6. Survey.
7. Survey.
How to classify as survey, observational study or experiment?The definitions for each of these three cases are given as follows:
Survey: Measures features of a population according to a representative sample taken from the population.Observational study: Determine whether there is a relation between an existing characteristic of a population and a characteristic of interest.Experiment: Similar to an observational study, however, a change happens in the population, and the effects of the change are studied.More can be learned about surveys, observational studies and experiments at https://brainly.com/question/23966407
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Which trigonometric ratios are correct for triangle def? select three options. Sin(d) = cos(e) = tan(d) = sin(e) = tan(d) =.
Answer: sin(f) are correct trigonometric ratios for triangle DEF.
Step-by-step explanation: Sin(d) = cos(e) = tan(d) = sin(e) = tan(d) = sin(f)
question attached bellow
The notes are £20 and £5. And the coins are £0.50 and £0.20.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Nick buys some fruits for £25.70. There are eight distinct coin denominations in the euro series: 1, 2, 5, 10, 20, and 50 cents, as well as £1 and £2.
The number 25.70 is expanded. Then we have
£25.70 = £20 + £5 + £0.50 + £0.20
The notes are £20 and £5. And the coins are £0.50 and £0.20.
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Shawna's hourly wage is 18.00 per hour. If she work overtime, she earn time-and-a-half. Show all work for full credit.
a. How much does she earn if she works 40 hours?
b. How much does she earn if she works 46 hours?
Answer:
a) $720.00
b) $882.00
Step-by-step explanation:
For part a) Shawna works 40 hours at $18.00 per hour.
Multiply to find the amount of money she made that week.
40 hrs × $18/hr
= 40 × 18
= 720
Shawna made $720.00
For part b) we can use the answer for part a, but she worked 6 hours more beyond the fulltime 40 hours. The 6 additional hours should be paid as overtime.
Her regular rate is $18/hr. Her overtime rate is "time-and-a-half" Multiply to find that pay rate.
18 × 1.5
= 27
For overtime, Shawna will earn $27/hour.
SO now part b)
She worked 46 hours.
40 × 18 = 720 and
6 × 27 = 162
Regular pay + overtime
= 720 + 162
= 882
Shawna will earn $882.00
(** if you have been studying basic math or basic algebra, this calculation totally works. But if you have been studying labor laws and intricasies of payroll processing, it could be that there is not enough information.)
128 to the power of negative 3/4 * 2 to the power of negative3/4
Answer:
3.7252903e-9
Step-by-step explanation:
(((128^(negative 3)) / 4)*(2^(negative 3))) / 4 = 3.7252903e-9
How do you solve a line segment problem?
The steps to solve a line segment problem is
1. Draw a diagram of the line segment.
2. Label the endpoints and any given information.
3. Use the given information to calculate the length of the line segment.
4. Use the Pythagorean Theorem to calculate the length of the line segment, if needed.
5. Solve for the unknown variable.
To solve a line segment problem, you must first draw a diagram of the line segment. Label the endpoints and any given information, such as the length of one of the sides of the line segment. Then you can use the given information to calculate the length of the line segment. If the length of the line segment is unknown, you can use the Pythagorean Theorem to calculate the length. After that, solve for the unknown variable, and then check your answer. With these steps, you can solve any line segment problem.
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The equation y = 11x represents the calories Jamila burns when cross-country skiing, where x is time in minutes and y is number of calories. The graph below shows the calories she burns while playing basketball. Which activity burns calories at a faster rate per minute if 1,500 calories are burned in two hours while playing basketball?
The activity that burns calories at a faster rate is; Basketball
How to Interpret Linear Equation Graphs?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are given the equation;
y = 11x that represents the calories Jamila burns when cross-country skiing, where x is time in minutes and y is number of calories
Thus, the rate at which calories are burned is 11 calories per minutes.
In hours, this is; 60 * 11 = 660 calories per hour
From the graph, we see that the rate at which calories are burned = 1500 calories for every 2 hours. Thus;
Rate at which calories are burned = 1500/2 = 750 calories per hours
This is more than that burned when skiing
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Please help, I’m extremely confused :(. I know it’s long but I’ll literally do anything!
The second inequality in the system tells us about the budget of the cost of each package of notepad.
What are inequalities?A mathematical comparison of two integers or algebraic expressions that uses the terms greater than, larger than or equal to, less than, or less than or equal represents inequalities.
Given that the budget for the notepads is $160.
Assume the cost of package of 24 is $16 for each package and the cost of package of 6 is $5.40 for each package.
The second inequality in the system of equations represents the equation of the budget that would be spent to buy the notepads.
Hence, 16x +5.40y ≤ 160 represents the budget.
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A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of 54 square feet. If x represents the length, then the length can be found by solving the equation:x(x-3)=54 What is the length, x, of the garden? The length is blank feet.
Answer:
9
Step-by-step explanation:
What you do if first you draw your rectangle. You name length as x (as told in the question) and width as x-3 (since the width is 3 feet less). To obtain the area you have to do x × (x-3) because to find area you do length × width right.
So area is x(x-3) and it also tells you that area is 54 there
That's how you get x(x-3)=54
Now to solve it, you have to expand
x(x-3)=54
x²-3x-54 = 0 (you have to factorise this now)
(x+6) or (x-9) = 0
x = -6 or x = 9
As you can see you have two answers there. We have to eliminate the -6 because length can never be negative. The logic is simple, any length you take for example on a ruler (it has to be 0 or above) you can measure 1 feet, 2 feet, even 100 feet but you can't measure less than 0 right?
So the final answer is that x=9 and x represents the length
So length = 9
A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(A, A) if two cards are randomly selected with replacement.
one third
one ninth
two thirds
two sixths
The probability of (A, A) if two cards are randomly selected with replacement is B. one ninth.
How to calculate the probability?It is important to note that probability is the chance that a particular thing or event will happen. It is the occurence of likely events.
In this situation, a set of 3 cards, spelling the word ADD, are placed face down on the table and we want to determine P(A, A) if two cards are randomly selected with replacement.
The probability will be:
P(A) × P(A)
= 1/3 × 1/3
= 1/9
In conclusion, the correct option is B.
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Please select ALL of the pairs of angles that are supplementary.
The supplementary in the Diagram are Angles 1 and 2.
What are supplementary angles?
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.
From the diagram Angles 1 and 2 are angles on a straight line
Angles on a straight line are equals to 180 degree
hence, the supplementary angles are angles 1 and 2
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Estimate the sum or difference. nine-tenths seven-eighths a. 1 b. 2 c. 0
The sum and difference between nine-tenths and seven-eighths is 71/40 and 1/40, calculated by addition and subtraction.
As per the fact, representing the words in numbers. So, nine tenths will be represented as: 9/10
Seven eighths: 7/8
Calculating the sum and difference as follows -
Sum = 9/10 + 7/8
Taking LCM we get 40
Sum = 9×4 + 7×5/40
Performing multiplication on Right Hand Side of the equation
Sum = 36 + 35/40
Sum = 71/40
Difference = 9/10 - 7/8
Difference = (9×4) - (7×5)/40
Performing multiplication on Right Hand Side of the equation
Difference = 36 - 35/40
Difference = 1/40
Hence, sum is 71/40 and difference is 1/40.
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The price of gasoline is $2. 27 per gallon and decreases at the rate of $0. 03 every two months. Oil costs $0. 45 per gallon and increases at a rate of $0. 05 every six months. How many years will it take for them to be equal in price?.
It will take approximately 6.5 years for the price of gasoline and oil to be equal.
To solve this problem, we need to set up a system of equations to represent the changing prices of gasoline and oil over time. Let "t" be the number of years that have passed.
The price of gasoline after "t" years is:
$2.27 - $0.03/2 months * 12 months/year * t years = $2.27 - $0.18t
The price of oil after "t" years is:
$0.45 + $0.05/6 months * 12 months/year * t years = $0.45 + $0.10t
To find the value of "t" for which the two prices are equal, we can set the two expressions equal to each other and solve for "t":
$2.27 - $0.18t = $0.45 + $0.10t
$1.82 = $0.28t
t = 6.5 years
Therefore, it will take approximately 6.5 years for the price of gasoline and oil to be equal.
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17. Given the following two functions:
f(x) = 5x² - 2x + 7
g(x) = 2x² + 6x +3
Then, find the following:
f (x) - g(x)
A. 7x²-8x+4
B. 7x² + 4x + 10
C. 3x² + 4x + 10
D. 3x² - 8x +4
Answer:
it's very simple D
if you throw -ve sign to g(x) sign will change
and do simple calculation
Answer:
To find the difference between the two functions, we can subtract g(x) from f(x):
f(x) - g(x) = (5x² - 2x + 7) - (2x² + 6x + 3)
= 5x² - 2x + 7 - 2x² - 6x - 3
= 3x² - 8x + 4
Therefore, the difference between the two functions is f(x) - g(x) = 3x² - 8x + 4, which is answer D.
Step-by-step explanation:
is -1.63 a rational number?
Yes
Step-by-step explanation:We can use increasingly specific terms to describe numbers and categories they fit in such as rational and irrational numbers.
Rational Numbers
A rational number is defined as a number that can be written as a non-complex fraction. Another way to say this is that rational decimals will always either terminate or repeat. For example, if you have 0.333 repeating forever, that would be a rational number.
The number we are given, -1.63, terminates. Thus, it must be a rational number. Additionally, -1.63 can be written as [tex]-\frac{163}{100}[/tex], so it is a rational number.
Other Categories
As stated above, there are lots of categories numbers can fall into. Rational and irrational are extremely broad groups that all real numbers can fit into. Integers, whole numbers, and natural numbers are all more specific groups that include fewer and fewer numbers. Integers are all rational numbers that are not fractions or decimals. Whole numbers are all non-negative integers. Natural numbers are all non-zero whole numbers.
How do I graph y=-7/3x+2 ??? I have really been struggling with this subject, any help would be great.
Answer:
First put a point on 2. That would be the y-intercept.
Then you will move 7 units down and move 2 units to right.
Step-by-step explanation:
This is most I can help you. I understand how you feel. I also was struggling with this topic too. Hope this helps. :)
solve for x. 5 - 5x ≤ 15
Answer:
Step-by-step explanation:
veronica is an architect and built a scale model of a new concrete venue. in her model, 3 inches represents 50 feet
The height of Veronica's scale model in inch is 10.5 inch.
What is scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
3 inches = 50 feet.
So, 1 feet = 3/50 inch
Then, height of Concert Venue in feet
175 feet = 175 x 3/50
= 525/50
= 105/ 10
= 21/2
= 10.5 inch
Hence, the height is 10.5 inch.
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HELP FAST!! What is another way to write x 7/3?
The way that the exponent illustrated as x ^7/3 can be written is 3✓x^7
How to explain the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Expressing large numbers in terms of powers is known as an exponent. Therefore, the exponent describes the number of times a number has been multiplied by itself.
Exponentiation is a mathematical operation that involves the base number (b) and the exponent (or power) number (n), and is written as bn. Its pronunciation is "b (raised) to the (power of) n." Exponentiation corresponds to base multiplication when n is a positive integer; therefore, bn is the result of multiplying n bases:
In this case, it should be noted that x ^7/3 will simply be the cube root of x raised to power 7. This is illustrated as x ^7/3.
Therefore, the correct option is C.
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Question 4 of 10
The lines shown below are perpendicular. If the green line has a slope of
what is the slope of the red line?
9
F
-5
10
10
15
OA. 9
OB.
C.
119
OD. -9
SUBMIT
Answer:The slope is 9, for every X value it goes up 9 times the Y value, so the Slope is 9
Step-by-step explanation:
-5 1/2+ 6 3/4 (-4 1/4)
Answer: The answer is -34 3/16
Step-by-step explanation:
−51/2 + 63/4(−41/4)
=−51/2 + −2583/16
= −2991/16
= -34 3/16
What are the 4 basic types of line?
The 4 basic types of lines are Curved Lines, Straight Lines, Horizontal Lines, and Vertical Lines.
How do lines work?
A straight group of points that stretch in opposing directions is what is known as a line.
It is without endings on either side (infinite)It is not thick.It only has one dimension.the 4 basic types of lines are:
a) Curved Lines: A curved line is any line that is not straight. A curve results from a point that is not moving in a straight line.
b) Straight Lines: A straight line is the shortest path between any two points. We obtain a straight line if a point moves only in that direction.
c) Horizontal Lines: A horizontal line is any straight line that extends from left to right. Vertical lines are perpendicular to the y-axis and parallel to the x-axis.
d) Vertical Lines: From top to bottom or bottom to up, vertical lines are straight up and down. A vertical line is perpendicular to the x-axis and parallel to the y-axis.
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a. State the slope of the line containing
the points (4,-3) and (-9,6).
and (-9,6).
b. What is the slope of a line parallel to
this line?
c. What is the slope of a line
perpendicular to this line?
Answer:
see explanation
Step-by-step explanation:
calculate the slope m of the line using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 3 ) and (x₂, y₂ ) = (- 9, 6 )
m = [tex]\frac{6-(-3)}{-9-4}[/tex] = [tex]\frac{6+3}{-13}[/tex] = - [tex]\frac{9}{13}[/tex]
• Parallel lines have equal slopes.
Thus slope of a parallel line is m = - [tex]\frac{9}{13}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{9}{13} }[/tex] = [tex]\frac{13}{9}[/tex]
Can someone help me solve this please?
The segment lengths for this triangle are given as follows:
PX = 7.5.XQ = 22.5.XY = 9.ZW = 21.6. What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.There are three triangles in this problem, all of which are similar.
PQR.PZW.PXY.The length of segment PX can be obtained with triangles PQR and PXY, as follows:
PX/30 = 10/40
PX/30 = 1/4
4PX = 30
PX = 7.5.
The length of segment XQ is found applying the segment addition postulate, as follows:
PQ + XQ = 30
7.5 + XQ = 30
XQ = 22.5.
The length of segment XY can also be obtained with the similarity of triangles PXY and PQR, as follows:
XY/36 = 10/40
XY/36 = 1/4
4XY = 36
XY = 9.
The length of segment ZW is obtained with the similarity of triangles PZW and PQR, as follows:
ZW/36 = 24/40
ZW/36 = 0.6.
ZW = 36 x 0.6
ZW = 21.6.
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What fraction is equivalent to 18.75
Answer:
[tex]\frac{1875}{100}[/tex]
Step-by-step explanation:
18[tex]\frac{75}{100}[/tex] For the numerator: multiply 100x18 and then add 75
[tex]\frac{1875}{100}[/tex]
got the wrong answer, sorry
Write the equation that represents this word problem
Piper charges $5 for gas, and $15 per hour to babysit
The equation that represents the given word problem is y = 5 + 15x.
What are equations?A mathematical definition of an equation is a claim that two expressions are equal and joined by the equal sign. It consists of coefficient, variable operator and constants.
Let the total charges be y and the number of hours be denoted by x.
It is given that for gas the flat fee is $5 this is represented as:
y = 5
Now, $15 per hour is represented as 15x, and the equation becomes:
y = 5 + 15x
Hence, the equation that represents the word problem is y = 5 + 15x
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What is the result when the number 77 is increased by 1%?
Answer:
77.77
Step-by-step explanation:
The new value =
77 + The value of the percentage increase =
77 + (1% × 77) =
77 + 1% × 77 =
(1 + 1%) × 77 =
(100% + 1%) × 77 =
101% × 77 =
101 ÷ 100 × 77 =
101 × 77 ÷ 100 =
7,777 ÷ 100 =
77.77
Answer:
= 77.77
Step-by-step explanation:
1% = 1/100 = 0.01
Then:
77*0.01 = 0.77
77 increased 1% is:
77 + 0.77 = 77.77
Are the following two functions inverses of one another ?
F(x)=5x+2
G(x) = x-2/5
The two functions are not inverses of one another.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given two functions are F(x)=5x+2
G(x) = x-2/5
Now we need to verify whether these two are inverses of one another
F(G(x)=F(x-2/5)
=5(x-2/5)+2
=5x-2+2
=5x
Now G(F(x))=G(5x+2)
=5x+2-2/5
=5x+8/5
F(G(x) is not equal to G(F(x)).
Hence, the two functions are not inverses of one another.
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Explain the choice of method
The choice of method to the solution of the \pair of equations is substitution method.
What is substitution method?In a pair of equations, we can use substitution method or any other method to solve the equations.
The given pair of equations is
y=-x+5 and
y=-x+3
The first thing is to write the two equations where the constant stays at the right hand side and the two variables stay at the left hand side tyo give
y+x = 5 and
y+x=3
Then we use substitution method to solve for x and y
In this case, make x the subject of the relation in equation 1
x=5-y
Then substitute x=5-y in equation 2
That is 2y = 5
then y = 2.2
Sibstitute y=2.2 in equation to get x=5-2.2
Therefore the value of x=2.8
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You are seeking to be emancipated from your parents. You are
looking for an apartment. There are two final choices.
Apartment A has a $1000 security deposit and costs $1200 each
month. Apartment B has a $1500 and costs $1175 each month.
How
many months, m, will it take for the costs to be the same? Step by step
Answer:
20 months
Step-by-step explanation:
Define the variables:
Let m = number of monthsLet c = total cost (in dollars)Create an equation for the total costs of renting each apartment:
[tex]\textsf{Apartment A}:\quad c = 1000 + 1200m[/tex][tex]\textsf{Apartment B}:\quad c = 1500 + 1175m[/tex]To calculate how many months it will take for the costs to be the same, substitute the equation for Apartment A into the equation for Apartment B and solve for m:
[tex]\implies 1000 + 1200m = 1500 + 1175m[/tex]
[tex]\implies 1000 + 1200m - 1175m = 1500 + 1175m - 1175m[/tex]
[tex]\implies 1000 + 25m = 1500[/tex]
[tex]\implies 1000 + 25m - 1000 = 1500 - 1000[/tex]
[tex]\implies 25m = 500[/tex]
[tex]\implies 25m \div 25 = 500 \div 25[/tex]
[tex]\implies m = 20[/tex]
Therefore, it will take 20 months for the costs to be the same.
Check by substituting m = 20 into both equations:
[tex]\begin{aligned}\textsf{Apartment A}: \quad c &= 1000 + 1200(20)\\ &= 1000 + 24000\\ &= 25000\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Apartment B}: \quad c &= 1500 + 1175(20)\\ &= 1500 + 23500\\ &= 25000\end{aligned}[/tex]
As the total cost for both apartments is $25,000 after 20 months, this proves that it will take 20 months for the costs to be the same.
