In the expression 2x + y + 5, the ‘5’ is called
Answers
Answer:
constant
Step-by-step explanation:
In the expression 2x + y + 5, the ‘5’ is called_____
A constant number in math is a value that doesn't change. Instead, it's a fixed value. All numbers are considered constant numbers
Related Questions
Identify the number line that correctly displays the solution x ≥ 3.
Answers
The correct number line that displays the solution `x ≥ 3` would be:
<------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
●------------------------------------------------>
The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.
The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.
It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.
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Find the mistake made in the steps to solve the equation below.61 - 1 = -21 + 981 - 1 = 980 = 101. Addition property of equality2. Addition property of equality3. Division property of equalitytoICHA4. SimplificationOA. The justification for step 2 is incorrect and should be the subtraction property of equality.OB. Step 3 is incorrect and should be r = 100OC. Step 2 is incorrect and should be r = 8.OD. The justification for step 3 is incorrect and should be the multiplication property of equality,
Answers
We have
\(6x-1=-2x+9\)\(8x-1=9\)\(8x=10\)\(x=\frac{10}{8}\)\(x=\frac{5}{4}\)As we can see in the image the mistake was in step 3.
Find the value of the expression
j − 14
for j = 18.
Answers
18 - 14 =
I think the answer is 4
Can someone help me, please???
Answers
Answer:
12
Step-by-step explanation:
4 times 3 = 12
There are 120 seventh graders at Danielle's school. Each day, the students have the option of eating outside or in the lunch room. Danielle decided to keep track of how many students eat outside each day. After recording her results for the whole school year, she has displayed the data for each month in a box-and-whisker plot. Below are her plots for the months of September and April.
-Fill in the blank-
The____number of students that ate outside in
mode, mean, median
April is approximately___
25, 10, 15 ,20
___Than the
greater, less
____number of students that ate outside in September.
median, mode, mean
There is more variability in the plot representing_____.
April, September
There is ____overlap in the two data sets.
much, some, no
Answers
Answer:
mean, 15, less, median, april, much
Step-by-step explanation:
Answer:
Hope it helps
median, 15, less, median, April, much
Step-by-step explanation:
I did the quiz I should know.
Q) Rewrite these newspaper headline in PERCENTAGE?
1.There was a one in two chance that the goldfish would swin to left.
Answers
Answer:
There was a 50% chance that the goldfish would swim to the left
Step-by-step explanation:
Percentage means "amount in one hundred".
\(\textsf{one in two}=\sf \dfrac{1}{2}=\sf \dfrac{1\times 50}{2 \times 50}=\dfrac{50}{100}=50\%\)
Newspaper headline:
There was a 50% chance that the goldfish would swim to the left.
10. Nicholas has a pet rat that weighs 1.635 kilograms. About how much does it welgh, rounded to the nearest tenth?
2 kilograms
O 1.64 kilograms
O 1.7 kilograms
1.6 kilograms
PREVIOUS
10 of 20
Answers
Step-by-step explanation:
nearest tenth means see 100th place
answer is 1.6 kg
Answer:
2 Kg
Step-by-step explanation:
This is because 1.635 rounds to 1.64 which rounds to 1.6 and finally 6 is closer to 10 than 0 so the final answer is 2 kg.
I hope I helped! Brainliest is always appreciated :))
The width of a rectangular slab of concrete is 14 m less than the length. The area is 32 m². What are dimensions of rectangle? The length of the slab?
Answers
The dimensions of the rectangular slab are 16 meters in length and 2 meters in width.
Let's assume the length of the rectangular slab of concrete is L meters. According to the given information, the width is 14 meters less than the length, so the width would be L - 14 meters.
The formula for the area of a rectangle is A = length × width. In this case, the area is given as 32 m², so we can set up the equation:
32 = L × (L - 14)
Expanding the equation, we get:
32 = L² - 14L
Rearranging the equation, we have:
L² - 14L - 32 = 0
To solve this quadratic equation, we can either factorize it or use the quadratic formula. In this case, it's easier to use the quadratic formula:
L = (-b ± √(b² - 4ac)) / (2a)
Here, a = 1, b = -14, and c = -32. Substituting these values into the formula, we get:
L = (14 ± √((-14)² - 4 × 1 × (-32))) / (2 × 1)
Simplifying further:
L = (14 ± √(196 + 128)) / 2
L = (14 ± √324) / 2
L = (14 ± 18) / 2
Therefore, we have two possible values for L:
L₁ = (14 + 18) / 2 = 16
L₂ = (14 - 18) / 2 = -2
Since the length of the slab cannot be negative, we discard the negative value.
Thus, the length of the rectangular slab is 16 meters. To find the width, we subtract 14 meters from the length:
Width = 16 - 14 = 2 meters
Therefore, the dimensions of the rectangle are 16 meters by 2 meters.
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What is the value of n?
Enter your answer in the box.
n= ____m
Answers
The value of n, considering the intersecting chords in the circle, is given as follows:
n = 6m.
What is the chord of a circle?A chord of a circle is a straight line segment that connects two points on the circle. Specifically, it is a line segment whose endpoints are on the circle. A chord is often denoted by drawing a line segment between the two endpoints, with the segment passing through the interior of the circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Considering the two intersecting chords for the circle in this problem, the value of n is obtained as follows:
5n = 15 x 2
5n = 30
n = 30/6
n = 6m.
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Please help!!
One thousand people stood in a very large circle. Each person wore a sign on their back
with a numeral from 1 to 1000, in a clockwise sequence. They began counting off. The
first person, person A, said "one-in," and remained in the circle. Person B, the person to
the left of A, said "two-out," and left the circle. The person to the left of B, person C, said
"three-in," and remained in the circle. The person to the left, person D, said "four-out,"
and stepped out of the circle.
So it continued with each person wearing an odd number saying "in," and remaining in
the circle, and with every person wearing an even numeral leaving the circle.
It was easy to visualize who remained in the circle when the count off made it all the way
around back to the first person. Since the last person said "one thousand-out," person A,
the first person, said "one-in," and stayed in, while person C, now the next person, said
"three-out," and left the circle. This process would keep going on and on until only one
person was left in the circle.
Who was the last person standing?
Answers
The person who gets to say the last number, 1000, will be Person 6.
Here, we have,
In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.
When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.
Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.
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complete question:
10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number
Use the figure to find the product (x + 3)(x + 2). (Hint: Find the area of each small square or rectangle, then add.)
Answers
Answer:
2x×5
Step-by-step explanation:
x+x×3+2
x+x×3+2
2x×5
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Answers
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
\(f(x) = \tan{Bx}\)
The period is \(P = \frac{\pi}{|B|}\).The frequency is \(F = \frac{1}{P} = \frac{|B|}{\pi}\).---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get \(f(x) = \tan{-Bx} = f(-x)\), thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
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Answer:
got it right
Step-by-step explanation:
Maya's test score average decreased by 18 points this semester.
Write a signed number to represent this change in average.
Answers
Answer: -18
Step-by-step explanation:
It is decreasing so the now will become negative since it is same as losing some points.
M= -1/8, (8, -3) Find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point.
Answers
Answer: y=-1/8x-2
Step-by-step explanation:
Given the slope, we can start to fill out the slot-intercept form equation.
y=-1/8x+b
We don't know the value of b, but we can plug in the given point to solve for b.
-3=-1/8(8)+b
-3=-1+b
b=-2
Now that we know b, we can finish our slope-intercept equation.
y=-1/8x-2
PLSSS HELPP!!! WILL MARK BRAINLIEST PLSSS
Mr. Turner's class is making a large round spinner to use in math class. If the spinner has a radius of 3 feet, what is the area, in square feet, of the spinner? (Let pi = 3.14)
Answers
Answer:
28.26
Step-by-step explanation:
Don't lie please give brainliest
The sum of two-fifths of y and one-sixth of h, minus 2
Answers
hi <3
i'm assuming you want the expression written out
it would be:
(2/5y + 1/6h) - 2
hope this helps :)
an academic department has just completed voting by secret ballot for a department head. the ballot box contains four slips with votes for candidate a and three slips with votes for candidate (a) List all possible outcomes. This answer has not been graded yet. (b) Suppose a running tally is kept as slips are removed.
Answers
Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
What is probability?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.
Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:
AAAA
AAAB
AABA
ABAA
BAAA
AABB
ABAB
BABA
BBAA
ABBB
BABB
BBAB
BBBA
(b)
For instance, the following results could occur if the slips were removed in the following order:
A (1 vote for contender A) (1 vote for candidate A)
AA (2 ballots for candidate A) (2 votes for candidate A)
AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)
AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)
AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)
AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)
AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
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In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
Answers
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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someone please answer this its confusing me
Answers
the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9
line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12
At baseball practice, the team spends 3/4 hour on hitting, 1/2 hour on catching, and 1/4 hourvon base running
Answers
the total time is ,
3/4 + 1/2 + 1/4 =
\(\begin{gathered} =\frac{3}{4}+\frac{1}{2}+\frac{1}{4} \\ =\frac{3+2+4}{4} \\ =\frac{9}{4} \end{gathered}\)so the total time is
9/4 hrs = 2.25 hours
2(x+5)-5 x 12 example pls
Answers
When x = 3, the expression 2x - 50 evaluates to -44.
To demonstrate an example using the expression 2(x + 5) - 5 × 12, let's simplify it step by step:
Start with the given expression.
2(x + 5) - 5 × 12
Apply the distributive property.
2x + 2(5) - 5 × 12
Simplify within parentheses and perform multiplication.
2x + 10 - 60
Combine like terms.
2x - 50
The simplified form of the expression 2(x + 5) - 5 × 12 is 2x - 50.
Let's consider an example for substituting a value for the variable x:
Suppose we want to evaluate the expression when x = 3. We substitute x = 3 into the simplified expression:
2(3) - 50
Now, perform the calculations:
6 - 50
The result is -44.
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Question
evaluate the expression 2(x+5)-5 x 12.
Rework problem 27 from section 1.2 of your textbook, about the three subsets X1, X2, and X3 that partition a set X, except assume that the number of elements in X, is 4 times the number of elements in X2, the number of elements in X3 is 6 times the number of elements in X2, and n(X) = 99. (1) n(X1) = (2) n(X2) = (3) n(X3) =
Answers
The value of three subsets is \(n(x_{1})=36, n(x_{2})=9, & n\left(x_3\right)=54\).
A set is a collection of objects or elements, grouped in the curly braces, such as {a, b, c, d}. If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.
The elements of sets could be anything such as a group of real numbers, variables, constants, whole numbers, etc. It consists of a null set as well.
If set A has {X, Y} and set B has {X, Y, Z}, then A is the subset of B because elements of A are also present in set B.
Let the number of elements in \($x_2$\) be \($x$\), then
\($$\begin{aligned}& n\left(x_1\right)=4 x \\& n\left(x_2\right)=x \\& n\left(x_3\right)=6 x\end{aligned}$$\)
Given that number of elements in \($x=99$\)
\($$\begin{aligned}\Rightarrow & n\left(x_1\right)+n\left(x_2\right)+n\left(x_3\right)=99 \\\Rightarrow & 4 x+x+6 x=99 \\\Rightarrow & 11 x=99 \\\Rightarrow & x=9 \\\therefore & n\left(x_1\right)=4 x=4 \times 9=36 \\& n\left(x_2\right)=x=9 \\& n\left(x_3\right)=6 x=6 \times 9=54\end{aligned}$$\)
Therefore, the value of \(& n\left(x_3\right)\)\(=54\).
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A store in Melrose, Massachusetts advertised a 35-mm camera for $259.99 and a wide-angle lens for $89.99. What is the total purchase price if the state sales tax rate is 6 percent
Answers
Answer:
The total purchase price is $370.97.
Step-by-step explanation:
Given;
price of the 35-mm camera, = $259.99
price of the wide-angle lens = $89.99
TAX rate = 6% = 0.06
The total purchase price = 0.06($259.99 + $89.99) + ($259.99 + $89.99)
The total purchase price = $20.99 + 349.98
The total purchase price = $370.97
Therefore, the total purchase price is $370.97.
The school events committee is planning to buy a banner and some helium balloons for graduation night. A store charges them $35 for the banner and $3.50 for each helium balloon. If the committee has at most $125 to spend, how may helium balloons can they buy?
Answers
Answer: About 25
Step-by-step explanation: So, to find how many helium balloons, we need to subtract 35 from 125, then divide it by 3.50. So, 125-35 = 90. So, 90 / 3.50 = 25.714285714285715. So, we are around 25.7 up to 26. But, we can't do this. This is because they can't spend over $91 on balloons. So, we have to round down. If it was 26, they would spend $91, 1 dollar over their budget. So, it would be about 25, which would be 87.50. So, they would have $3.50 left over.
Find the GCF of 35x^5y and 42x^5y^3.
Answers
Answer:
x^5y
Step-by-step explanation:
To find the greatest common factor (GCF) of 35x^5y and 42x^5y^3, we need to find the largest expression that divides into both of these polynomials.
The common factor in both of these polynomials is x^5y, which is the GCF. So, the GCF of 35x^5y and 42x^5y^3 is x^5y.
Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
Answers
The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to find the years of employment ?The system of equations given is:
x = 4y
x = 8 + 2y
You can solve the system by setting the two expressions for x equal to each other:
4y = 8 + 2y
2y = 8
2y / 2 = 8 / 2
y = 4
Substitute y = 4 into the first equation to solve for x:
x = 4 x 4
= 16
So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.
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mariana and her children went into a movie theater that sells bags of popcorn for $6 each and candies for $4 each. mariana has $80 to spend and must buy at least 16 bags of popcorn and candies altogether. if a represents the number of bags of popcorn purchased and y represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.
As per the given data:
The number of popcorn bags is x
The number of candies is y
The cost of each popcorn bag is $7
The cost of each candy is $4
She has $80 to spend on them
Inequality is the nonequal comparison of two or more variables and numbers.
So the first inequality is
7 x + 4 y ≤ 80
Since she must buy no less than 16 bags of popcorn and candies
The second inequality is
x + y ≥ 16
The red area represents the 1st inequality
The blue area represents the 2nd inequality
The solutions lie in the common part of red and blue colors
One possible solution is ordered pair (9,5)
(Graph attached at the end of solution)
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please my last math problem .
√100 + 6! =
Answers
Question
√100 + 6!
Step-by-step explanation:
about roots and factorials
=√100
=10
square root how to do it:
(10 × 10 = 100)
looking for factorial
=6 × 5 × 4 × 3 × 2 × 1
=30 × 4 × 3 × 2 × 1
=120 × 3 × 2 × 1
=360 × 2 × 1
=720 × 1
=720
factorial result of 6! is 720
now we count 10 + 720
10
720
———+
730
so the result of √100 + 6! is 730
I hope this helps
Answer(s):
\(\displaystyle 710\:and\:730\)
Explanation:
The square root of any number is negative AND positive first of all. Second, when dealing with factourials, you could either start with two and multiply all the way up to the coefficient, or vice versa. Anyhow, let us solve this now:
\(\displaystyle \sqrt{100} + 6! \\ \\ \boxed{710} = -10 + [2(3)(4)(5)(6)] \\ \boxed{730} = 10 + [2(3)(4)(5)(6)]\)
I am joyous to assist you at any time.
2.3 Arrange in ascending order: -3,305;3, 15;0.-3:3,4; -3.35
Answers
Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge
of the stage, in meters, is modeled by D(t) where t is the time in seconds. The function is
graphed below, along with one segment highlighted.
Answers
The sinusoidal expression of the function is D(t) = -cos(3t)
What is sinusoidal expression?A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.
here, we have to,
to determine the sinusoidal expression:
When he pushes off, he is 1 m behind the center.
This means that:
Amplitude, a = 1.
But we use, a = -1 because he is behind
The graph has a minimum point at (0,-1) and then intersects its midline at (π/6, 0).
So, the period B is: 2π/B = 4 * π/6 and the vertical shift (d) is 0
Simplify 2π/B = 4 * π/6
2π/B = 2π/3
By comparison, we have:
B = 3
The function is given as:
a cos(Bt) + d
Substitute the calculated values
D(t) = -cos(3t)
Hence, the sinusoidal expression of the function is D(t) = -cos(3t)
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Answer:
period and he completes a swing in ten seconds