Answer:
The decimal is 2.8 The 8 is the repeating decimal I just couldn't add the line to the top. So it would be 2.88888...
Step-by-step explanation:
Jill sold half of her comic books
and then bought seventeen
more. She now has 31. With how
many did she begin?
well, she really began with "x" total.
then she sold half of that, so hmmm 1/2 of "x" is just x/2 and she's left with half, so she sold x/2 and she was left only with x/2, and then she bought 17 more, we also know that she has 31 now, so
[tex]\stackrel{\textit{leftover}}{\cfrac{1}{2}x}~~ + ~~\stackrel{\textit{more bought}}{17}~~ = ~~\stackrel{\textit{now she has}}{31}\implies \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left(\cfrac{x}{2}~~ + ~~17 \right)~~ = ~~2(31)}\implies x+34=62\implies \LARGE \begin{array}{llll} x=28 \end{array}[/tex]
What are the missing numbers in the following pattern ?
1, 9 , 25, 49 , -------- , 121 , 169 , ------- , 289 , ----------.
Answer:
81, 225, 361
Step-by-step explanation:
please help
find the length of AD in the diagram
Answer:
The length of AD is 5 units
Step-by-step explanation:
Which probability value indicates that there is statistical significance? 0.0345 0.4595 0.9534 0.9967
The probability value indicates that there is statistical significance in 0.0345 option (a) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know,
Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in addition to preset levels of confidence when testing the claim.
The value 0.0345 < 0.05
The probability value of 0.0345 indicates that there is statistical significance
Thus, the probability value indicates that there is statistical significance in 0.0345 option (a) is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ4
The population of pine bluff is 654 and is increasing at the rate of 7 per year
If the population of pine bluff is 654 and is increasing at the rate of 7 per year, then the equation will be y=654+7x and the population after 3 years will be 675.
Given that the population of pine bluff is 654 and is increasing at the rate of 7 per year.
We are required to find the equation which shows the population and the population after 3 years.
Equation is basically the relationship between two or more variables that are expressed in equal to form and can be solved to find the value of variables. It may be linear equation, quadratic equation, cubic equation and many more depending on the power of the variables that are present in the equation.
Suppose the number of years be x.
The equation which shows the population after x months be:
y=654+7x
To find the population after 3 years, we can use x=3 in the equation.
y=654+7*3
y=654+21
y=675
Hence if the population of pine bluff is 654 and is increasing at the rate of 7 per year, then the equation will be y=654+7x and the population after 3 years will be 675.
Learn more about equation at https://brainly.com/question/2972832
#SPJ9
Create a polynomial that has 4 term, a degree of 6, a leading coefficient of -1 and a
Constant term of -5.5
Answer: Theorems About Roots of Polynomial Equations
Step-by-step explanation:
Theorems About Roots of Polynomial Equations
In the given case we can conclude that the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]
To create a polynomial with 4 terms, a degree of 6, a leading coefficient of -1, and a constant term of -5.5, we can use the general form of a polynomial:
A "polynomial" is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers, combined using addition and multiplication. Polynomials are fundamental objects in algebra and are used to represent a wide range of mathematical relationships, including functions, curves, and various mathematical concepts.
P(x) = [tex]ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g[/tex]
Plugging in the given values, we have:
P(x) = [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5[/tex]
Remember that the degree of a polynomial is determined by the highest exponent of x.
In this case, the degree is 6.
The leading coefficient is the coefficient of the term with the highest degree, which is -1. The constant term is -5.5.
So, the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]
Learn more about Polynomials here:
https://brainly.com/question/20121808
#SPJ3
28x-2=100 solve for x
Answer:
3.64
Step-by-step explanation:
collect like terms
divide both sides by x coefficient
Answer:
x=51/14
Step-by-step explanation:
28x-2=100
+2. +2
28x=98
28x/28=102/28
×=51/14
answer the question in the photo
Answer: input is h, output is k
Step-by-step explanation: inserting a number into h will give you your outcome of k in the solution
Answer:
Step-by-step explanation:
Write the inequality that represents the sentence, "Five less than a number is greater than 57."
Choose the correct answer below.
x-5>57
x-5257
x+5257
x+5> 57
.***
Answer:
Option A, or x-5>57
Step-by-step explanation:
what is this i need help ASAP
Answer:
The first and fourth statement.
Step-by-step explanation:
1. - 3 - 12/3 + 5
= - 3 - 4 + 5
= - 7 + 5
= - 2
- 2 < 0
4. 4 - 2 - 3/2
= 2 - 3 / 2
= 1 / 2
1 / 2 > 0
Hope this helped! ^^
Sidenote: If you need me to explain for 2, 3 and 5, comment below this and I'll explain.
Nolvia sells copy machines, and her salary is $21,000 plus a 4% commission on sales. the equation s=21,000+ 0.04x
represents her salary s in dollars in terms of her total sales x in dollars.
part: 0/3
part 1 of 3
(a) how much money in sales does nolvia need to earn a salary that exceeds $40,000?
she needs to sell in excess of $
please help im getting timed
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 is greater than or equal to $19,000.
Given that:-
Fixed salary of Nolvia = $21,000
Commission tax that Nolvia gets = 4 %
Linear equation of Nolvia's salary and commission tax = 21000 + 0.04x
Where,
s represents her salary
x represents total sales
We have to find the amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000.
The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 = 40000 - 21000 ≥ $ 19,000
To learn more about Linear equation, here:-
https://brainly.com/question/11897796
#SPJ4
A line has no thickness, but it does have direction and ___ length.
(Fill in the blank)
A line has no thickness, but it does have direction and infinite length.
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.
In cartesian plane the general equation of a line is given by :
y=mx+c where the slope is denoted by m and the y-intercept by c.
To learn more about a straight line:
https://brainly.com/question/17188072
#SPJ9
30 POINTS
Write and solve an absolute value equation for the minimum and maximum times for an object moving at the given speed to travel the given distance. Absolute value 3 ft. 10 ft/s for 30 ft
Answer:
Step-by-step explanation:
12
How do the perimeters of the triangles compare? 24 cm 24 cm Original 24 cm 8 cm 8 cm Scaled 8 cm A. The scaled triangle's perimeter is 1/24 as long as the original triangle's perimeter. B. The scaled triangle's perimeter is 1/9 as long as the original triangle's perimeter. C. The scaled triangle's perimeter is 1/6 as long as the original triangle's perimeter. D. The scaled triangle's perimeter is 1/3 as long as the original triangle's perimeter.
The scaled triangles perimeter is 1/3 the size of the original triangles perimeter
What is Scaled traingle?All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.
A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional planar object having three sides and three angles. There are three edges and three vertices on it.
According to the given values;
original:
hieght=24 slant= 24 lenght=24
Scaled:
hieght=8 slant= 8 lenght=8
Looking at the dimension of both triangles,
The relationship between the original and the scaled copy is : 1/3*original
Hence, the perimeter is:1/3*perimeter(original)
To know more about the perimeter of traingle ,visit;
https://brainly.com/question/22603791
#SPJ9
Each day a small business owner sells 200 pizza slices at $2.50 per slice and 85 sandwiches at $2.00 each. Business
expenses come to $60 per day. What is the owner's profit for a ten-day period?
The profit is S
The owner's profit for a ten-day period is equal to $ 6100.
We are given that:
Selling price of 1 pizza slice = $ 2.50
Number of pizza slice sold per day = 200
Selling price for pizza slices in a day = 200 × $ 2.50
SP ( pizza ) = $ 500
Selling price of 1 sandwich = $ 2
Number of sandwich sold per day = 85
Selling price for pizza slices in a day = 85 × $ 2
SP ( sandwich ) = $ 170
Selling price in 1 day = $ 500 + $ 170 = $ 670
Now, Cost price in 1 day = $ 60
Profit in 1 day = $ 670 - $ 60 = $ 610
Profit in 10 days = 10 × $ 610 = $ 6100
Therefore, the owner's profit for a ten-day period is equal to $ 6100.
Learn more about profit here:
https://brainly.com/question/19104371
#SPJ9
A researcher reports t(22) = 5.30, p < .01 for an independent-measures experiment. how many individuals participated in the entire experiment?
For the entire independent-measures experiment 24 individuals are participated.
What do you mean by independent-measures experiment?Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.
We are given the value t(22) = 5.30, p < .01
So here degree of freedom (df) is 22 and it is independent so there is two samples,
so df= n₁+n₂-2
⇒ 22 = n₁+n₂-2
⇒ n₁+n₂ = 24.
Thus for the entire experiment 24 individuals are participated.
To learn more about independent-measures experiment, click here:
https://brainly.com/question/17699654
#SPJ4
Austin is mailing packages. Each small package costs him $2.60 to send. Each large package costs him $3.50. How much will it cost him to send 1 small package and 5 large packages?
Answer:
$20.1
Step-by-step explanation:
1 small package is $2.60
1 large package is $3.50
We multiply 3.5 * 5 since there are 5 large packages and we add 1 small package to get $20.1
Answer:
$20.10
Step-by-step explanation:
Let s = the cost of a small package and
l = the cost of a large package
1 small pakcage and 5 large package
1s+5l
Substitute s = $2.60 and l = $3.50
1($2.60) + 5(3.50)
= $20.10
The function can be used to determine the side length, x, of a cube given the surface area of the cube, a. the function v(x) = x3 can be used to find the volume of a cube. how can these functions be combined?
The composite function or combined functions of x(A) and V(x) is V(x(A)) = (√A/6)³ option (C) is correct.
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
A function relates an input to an output.
x2 (squaring) is a function
x3+1 is also a function
Sine, Cosine, and Tangent are functions used in trigonometry.
Although part of the question is missing the question is The function x(A)= √A/6 can be used to determine the side length, x, of a cube given the surface area of the cube, A. The function V(x)= x³ can be used to find the volume of a cube. how can these functions be combined?
a. x(v(A))= sqrt x^3/6
b. V(x(A)) = sqrt x3/6
c. V(x(A))=(sqrt A/6)^3
d. x(v(A))= (sqrt A/6)^3
For more information on cube click on the link below:
https://brainly.com/question/22340031
#SPJ4
(PLS HURRY ASAP 100 POINTS)
(Theoretical Probability MC)
The tree diagram represents the sample space for the repeated experiment of a coin being tossed 4 times.
Determine P(at least 3 tails).
A: 0.025
B: 0.0625
C: 0.125
D: 0.3125
Answer:
D) 0.3125====================
Total number of outcomes is 16, count of all outcomes.
Number of outcomes with 3 or more tiles is 5:
HTTT, THTT, TTHT, TTTH, TTTTThe probability is:
P = favorable outcomes / total outcomesP(at least 3 tails) = 5/16 = 0.3125Correct choice is D.
Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole number.
Triangle A B C is shown. Angle A C B is 90 degrees and angle C A B is 22.6 degrees. The length of hypotenuse A B is 13 centimeters, the length of A C is b, and the length of C B is a.
Which equation correctly uses the value of b to solve for a?
tan(22.6o) = StartFraction a Over 13 EndFraction
tan(22.6o) = StartFraction 13 Over a EndFraction
tan(22.6o) = StartFraction a Over 12 EndFraction
tan(22.6o) = StartFraction 12 Over a EndFraction
In the given triangle ABC right angled at C and [tex]AC = b[/tex] and [tex]CB = a[/tex], the equation using value of b used for solving for a will be [tex]tan(22.6degrees) = \frac{a}{12}[/tex].
According to the question statement, Triangle A B C is shown. Angle A C B is [tex]90[/tex] degrees and angle C A B is [tex]22.6[/tex] degrees. The length of hypotenuse A B is [tex]13[/tex] centimeters, the length of A C is b, and the length of C B is a.
We are supposed to find the equation using value of b used for solving for a.
Solution: Given,
[tex]AB = 13cm\\AC = b\\BC = a\\Angle BAC = 22.6degrees[/tex]
If hypotenuse is 13cm then value of b is either 5 or 12 as per Pythagorean Triplet. As there is no value such as 5 in the given options we take the value of [tex]b=12 cm[/tex].
[tex]cos(22.6degrees) = \frac{b}{13} =\frac{12}{13} \\sin(22.6degrees) = \frac{a}{13}\\[/tex]
Using the above two equations,
[tex]tan(22.6degrees)=\frac{a}{b} \\b=12\\tan(22.6degrees)=\frac{a}{12}[/tex]
Therefore option three "tan(22.6o) = StartFraction a Over 12 EndFraction" is the correct answer.
Pythagorean Triplet: If a, b and c are three sides of a right angled triangle, c being the hypotenuse then [tex]a^{2} +b^{2} =c^{2}[/tex] and a and b being either of the base and perpendicular.To learn more about Pythagoras theorem, click on the link given below:
https://brainly.com/question/343682
#SPJ9
Answer: C tan (22.6)=a/12
Step-by-step explanation: edge 2023
Graph: y < 1/3x + 1/2
Answer: See attached.
Step-by-step explanation:
Since this inequality uses < and not ≤, we will be using a dashed line.
Next, we will shade "below" the line since this inequality uses the < aka less than.
Lastly, our y-intercept is [tex]\frac{1}{2}[/tex].
In Exercises 19-24, solve the equation. Determine
whether the equation has one solution, no solution, or
infinitely many solutions. (See Example 3.)
19. 3t+ 4 = 12 + 3t
20. 6d+ 8 = 14 + 3d
21. 2(h+ 1) = 5h - 7
22. 12y + 6 = 6(2y + 1)
23. 3(4g + 6) = 2(6g + 9)
24.
5(1+2m)=(8 + 20m)
Step-by-step explanation:
Given is a linear equation in t

If we want to simplify we find that 3t gets cancelled and we get

This is an impossible situation.
This implies that original equation has no solution at all
Hence answer is
the given has no solution
how many solutions does this equation have ? 2q-3q=-q
Equation have infinity solution
Here the equation is 2q-3q =-q.
After solving this we have
-q = -q
As Left-hand side is equal to the right-hand side.
Therefore whatever the value we will put for the q, the left and right hand side remains the same.
Therefore this equation has an infinity solution.
To know more about the number of solutions for the equation refer to the link given below:
https://brainly.com/question/10043755
#SPJ1
Simply 4/16 to the lowest term and find equivalent fraction that has a denominator of 32
Answer:
8
Step-by-step explanation:
this is because If you multiply the denominator by 2 you will get 32
so if you likewise multiply the numerator by 2 you will get 8
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 75
Step-by-step explanation:
let the larger number=n
then the smaller number=½n
We conclude from the question that
n+½n=75
3/2n=75
3n=150
n=150/3=50
Therefore the larger number=50 and the smaller number=½×50=25
What is the common ratio between successive terms in the sequence?
1.5, 1.2, 0.96, 0.768,
The common ratio between successive terms in the sequence is 1. 25
What is common ratio?
Common ratio is defined as the ratio of each term of a geometric sequence to the term before it.
It is also known as the constant factor between consecutive terms of a geometric sequence.
It is the number multiplied or divided by at each interval.
Given the sequence;
1.5, 1.2, 0.96, 0.768,
The common ration is;
= 1. 5/ 1. 2
= 1. 25
Thus, the common ratio between successive terms in the sequence is 1. 25
Learn more about common ratio here:
https://brainly.com/question/1509142
#SPJ1
(-2,-4) and (3,-9)?
What we answering with these 2 points ?
Where's the question?
What is the solution set for | s+4 | = 6?
Answer:
s=2,−10
Step-by-step explanation:
Find all solutions for s by breaking the absolute value into the positive and negative components.
Cindy and Richard leave their dorm in Charleston
at the same time. Cindy rides her bicycle north at a
speed of 18 miles per hour. Richard rides his bicycle
south at a speed of 14 miles per hour. How long will it
take them to be 96 miles apart?
Answer:
Hello,
Step-by-step explanation:
Let's suppose
t the time of the travel
d1 the distance rided by Cindy in miles
d2 the distance rided by Richard in miles
d1+d2=96
18*t+14*t=96
32*t=96
t=3 (hours)
Value of x
Pls show steps
Answer:
x = 18
Step-by-step explanation:
Vertical angles are congruent.
4x + 3 = 75 Subtract 3 from both sides of the equation
4x = 72 Divide both sides by 4
x = 18