Answer:
a=6
Step-by-step explanation:
distribute:
3a-15-6=-15
combine like terms:
3a-21=-15
add 21 to each side:
3a=6
divide by 3:
a=2
15) Find the coordinates of the vertices of the triangle and compute the area of the triangle using the distance formula (round to the nearest integer in units,
A) 10 units?
B) 21 units
C) 23 units
D) 36 units
Find the equation of a line that passes through the points (1,-3) and (3,-1).
Leave your answer in the form
y=mx+c
On a certain hot summers day 339 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admissions totaled $750.50. How many children and how many adults swam at the public pool that day?
Answer:
the number of children = 156
the number of adults = 183
Step-by-step explanation:
let x be the number of children
y be the number of adults
We have to solve this system:
[tex]\begin{cases}x+y=339&\\ 1.75x + 2.50y = 730.50&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ 1.75x + 2.50(339-x) = 730.50&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x + 847.5 = 730.50&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x =-117&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=339-156=183&\\ x =156&\end{cases}[/tex]
Write the product using exponents
The product of the expression [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex] is [tex](\frac{2}{3})^{4}[/tex] or [tex]\frac{16}{81}[/tex].
What are exponents and powers?Power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.
Given expression is : [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex]
=[tex]\frac{2^{4}}{3^{4}}[/tex]
= [tex](\frac{2}{3})^{4}[/tex] [[tex]\frac{a^{4}}{b^{4}} = (\frac{a}{b} )^{4}[/tex]]
=[tex]\frac{16}{81}[/tex]
Hence, [tex]\frac{2}{3} *\frac{2}{3}*\frac{2}{3}*\frac{2}{3}[/tex] = [tex](\frac{2}{3})^{4}[/tex]
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Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a spade given that the second card is a club
Answer:
Recheck your question
Step-by-step explanation:
I think your question should be what is the probability that the second card is a spade given that the first one was a club
What is the title of the graph? blank
What kind of graph is shown? blank
Whose family has the most number of kilograms of rice donated? blank
Whose family has the least number of kilograms of rice donated? blank
What is the total number of kilograms of rice donated? blank
540 kg Vertical graph Dioneda family Number of kilogram of rice donated for Typhoon Roly's Victim Cariaga Family
The title of this graph shown in the image attached below is "Number of Kg. of rice donated for Typhoon Roly's victim."
The title of the graph.Generally, the title of a graph is typically placed at the top. Based on the information provided in the graph (see attachment), the title of this graph is "Number of Kg. of rice donated for Typhoon Roly's victim."
What kind of graph is shown?In this scenario, the kind of graph shown is referred to as a bar graph.
A family with the most number of kilograms of rice donated is the "Carlage family" because their data has the tallest rectangular bar, which corresponds with 150 kg.
A family with the least number of kilograms of rice donated is the "Dioneda family" because their data has the shortest rectangular bar, which is equal to 75 kg.
The total number of kilograms of rice donated is given by:
Total number = 150 + 100 + 175 + 120 + 100
Total number = 645 kg.
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Use the information provided to answer Part A and Part B. A store owner paid \$ 15$15 for a book. She marked up the price of the book by 40\%40% to determine its selling price. Part A What is the selling price, in dollars, of the book? Enter your answer in the box. Part B A customer buys a different book that has an original selling price of \$ 38$38. The book is discounted 25\%25%. The customer must pay a 6\%6% sales tax on the discounted price of the book. What is the total amount, in dollars, the customer pays for the discounted book? Enter your answer in the box.
Answer City's breaking down on a camel's back
Give an example of a binomial of degree 27
Answer:
x27 + y.
Step-by-step explanation:
Binomial means having 2 terms so binomial of degree 27 is x^27 + y type.
For example,
x^27+y+2
If there are 2 degree terms of x, degree of the one having highest degree is taken.
For example,
In x^27+x^10
As highest degree is 27, this is a binomial of degree 27.
Which picture shows a distance of 2/6 from point A to point B?
The correct choice for this question is Option B
Determine the
period.
Explanation:
There are a few ways to measure the period. One way is to measure the horizontal distance from peak to peak.
The left peak occurs at x = 1
The right peak occurs at x = 17
This is a horizontal distance of 17-1 = 16 units.
Therefore, the period is 16. The curve repeats itself every 16 units.
please help!!! will mark brainliest. only 2 questions, and worth 50 pts.
Answer:
1) 13,434
2) During 2038 (by 2039)
Step-by-step explanation:
We can model this problem using an exponential equation.
General form of an exponential equation: [tex]y=ab^x[/tex]
where:
a is the initial value b is the base (or growth factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
As the population increases by 3% each year, each year it will be 103% of the previous year. Therefore, the growth factor in decimal form is 1.03
Given:
a = 8,888b = 1.03 x = time (in years)y = populationSubstituting the given values into the equation:
[tex]y=8888(1.03)^x[/tex]
To find the population in 2025:
2025 - 2011 = 14
Therefore, set x = 14 and solve for y:
[tex]\begin{aligned}\implies y &=8888(1.03)^{14}\\& =13433.89747\\& = 13,434\end{aligned}[/tex]
To find the year in which the population will reach 20000, set y = 20000 and solve for x:
[tex]\implies 8888(1.03)^x=20000[/tex]
[tex]\implies (1.03)^x=\dfrac{20000}{8888}[/tex]
[tex]\implies \ln (1.03)^x=\ln \left(\dfrac{20000}{8888}\right)[/tex]
[tex]\implies x\ln (1.03)=\ln \left(\dfrac{20000}{8888}\right)[/tex]
[tex]\implies x=\dfrac{\ln \left(\frac{20000}{8888}\right)}{\ln (1.03)}[/tex]
[tex]\implies x=27.43785809[/tex]
2011 + 27.437... = 2038.437...
Therefore, the population will reach 20,000 some time during 2038.
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.315. Find the probability that in a given year it will not snow on January 1st in that tow
The probability that in a given year it will not snow on January 1st will be P = 0.915.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Since the total probability is always equal to 1 if the probability of happening of an event is given then the probability of not happening of an event will be determined by subtracting it from one.
The probability of not any snowfall will be calculated as:-
P = 1 - 0.315
P = 0.615
Therefore the probability that in a given year it will not snow on January 1st will be P = 0.915.
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PLEASE HELP MEEEE i'll give brainliest if it's answered w work thank u lololol im failing this class
Answer:
3. 261 ft³
Step-by-step explanation:
Volume of the figure = ½(volume of cylinder) + volume of triangular prism)
✔️Volume of cylinder = πr²h
r = 3 ft
h = 10 ft
Volume of cylinder = π*3²*10 = 282.74 ft³
✔️Volume of right triangular prism = ½*b*h*l
b = 3*2 = 6 ft
h = 4 ft
l = 10 ft
Volume of triangular prism = ½*6*4*10 = 120 ft³
✔️Plug in the values into the equation:
Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³
2^2x = 2^3 ,what is the value of x?
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] {2}^{2x} = {2}^{3 } \\ 2x = 3 \\ x = \frac{3}{2} [/tex]
Write a linear equation to represent the sequence 3, 7, 11, 15, ....
show how you got ur answer so I can see if it Makes sense!
Answer:
Linear equation : 4n - 1
Step-by-step explanation:
4 x (1) - 1 = 3
4 x ( 2) - 1 = 7
4 x (3) - 1 = 11
4 x (4 ) - 1 = 15
And so on
Please help!!! Which of the following expand (x + y)^5 using Pascal’s Triangle?
Answer:
[tex] {x}^{5} + 5 {x}^{4} y + 10 {x}^{3} {y}^{2} + 10 {x}^{2} {y}^{3} + 5x {y}^{4} + {y}^{5} [/tex]
please help me with this assignment ; )
Answer:
The answer is A
Step-by-step explanation:
Because it's square all of the sides will be equal so 18*18=324. Hope this helps.
what is the second step to solving this equation 9x -23 = 49 A subtract 23 from both sides. B multiply both sides by nine. C divide both sides by nine. D Add 23 to both sides.
Answer:
C- divided both sides by 9
Step-by-step explanation:
[tex]9x - 23 = 49[/tex]
[tex] 9x = 72[/tex]
[tex]x = 8[/tex]
-16-20÷4+9
easy math, pls answer
Answer:
it should be -12
Step-by-step explanation:
I looked it up and started to work it out use PEMDAS
The subtraction of rational numbers is _________
Answer:
The Answer would be associative and commutative
Step-by-step explanation:
don't really have a explanation just remember this from a question of a quiz I took
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
H
Town B
2
35 40
45 48
Н
0
5
10
15
20
45 50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
A. The median temperature for both towns is 40°.
B. The median for town A, 30°, is less than the median for town B,
40°.
C. The mean for town A, 30°, is less than the mean for town B, 40°.
D. The median for town A, 15°, is greater than the median for town B,
2º.
The statement (B) "The median for town A, 30°, is less than the median for town B, 40 degree" is correct.
What is the box and whisker plot?
A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
From the data given:
For town A and Town B
As we can see in the box plot
The median for town A = 30 degree
Median for town B = 40 degree
The median for the town, A < Median for town B
Thus, the statement (B) “The median for town A, 30°, is less than the median for town B, 40 degree” is correct.
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I need help pleaseee
Answer:
P= (3x-1)+(x+2)+(3x^2-11x)+(x^2-3x)
= 4x^2-10x+1
Help me find the media, mode and the mean look at the photo and solve the puzzle
Answer: See below.
Good Luck! I hope this helps!
Step-by-step explanation:
1) Find the Mean of 7 18 9 22 4.
7 + 18 + 9 + 22 + 4 = 50
50 ÷ 5 = 10
2) Find the Median of 7 18 9 22 4.
4 7 9 18 22
The Median is 9.
3) Find the Mean of 7 3 7 4 8 9 2.
7 + 3 + 7 + 4 + 8 + 9 + 2 = 40
40 ÷ 7 = 5.7
4) Find the Median of 7 3 7 4 8 9 2.
2 3 4 7 7 8 9
The Median is 7.
5) Find the Mode of 7 3 7 4 8 9 2.
Mode is the number that occurs the most.
2 3 4 7 7 8 9
The Mode is 7.
6) Find the Median of 6 10 23 24 13 9 23 12.
6 9 10 12 13 22 23 24
There are 8 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, [tex]\frac{(12+13)}{2} = \frac{25}{2} = 12.5[/tex]
The Median is 12.5.
7) Find the Mean of 6 10 23 24 13 9 23 12.
6 + 10 + 23 + 24 + 13 + 9 + 23 + 12 = 120
120 ÷ 8 = 15
The Mean is 15.
8) Find the Median of 120 113 101 101 112.
101 101 112 113 120
The Median is 112.
9) Find the Mean of 73 72 72 98 99 96 98 98 73.
73 + 72 + 72 + 98 + 99 + 96 + 98 + 98 + 73 = 779
779 ÷ 9 = 86.6.
10) Find the Mode of 73 72 72 98 99 96 98 98 73.
72 72 73 73 96 98 98 98 99
The Mode is 98.
11) Find the Mode of 6 10 23 24 22 9 23 13.
6 9 10 13 22 23 23 24
The Mode is 23.
12) Find the Median of 73 72 72 98 99 96 98 98 73.
72 72 73 73 96 98 98 98 99
The Median is 96.
13) Find the Median of 12 22 26 15 18 22 29 11 22 18.
11 12 15 18 18 22 22 22 26 29
There are 10 numbers in this set of numbers, so the Median is the average of the two numbers in the middle. So, [tex]\frac{(18+22)}{2} = \frac{40}{2} = 20[/tex]
The Median is 20.
THE END! Yay!Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = -3x + 6
y = -1/3 x + 2
y = -1/3 x + 6
y = 12x + 2
Need Explanation For This Asap! <3
528 cm2
538 cm2
558 cm2
Answer:
528 cm²
Step-by-step explanation:
The surface area of this prism comprises:
2 congruent triangles (the bases of the prism)2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length1 rectangle (rectangle 3)Area of a triangle = 1/2 × base × height
= 1/2 × 16 × 6
= 48 cm²
Area of rectangle 1 / 2 = width × length
= 10 × 12
= 120 cm²
Area of rectangle 3 = width × length
= 16 × 12
= 192 cm²
Total Surface Area = 2 triangles + 2 rectangles + rectangle 3
= (2 × 48) + (2 × 120) + 192
= 96 + 240 + 192
= 528 cm²
Area of two triangles
2×1/2BHBH16(6)96cm²Area of base rectangle
12(16)192cm²Area of rest two rectangles
2LB2(10)(12)120(2)240cm²Total area
240+192+96528cm²What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4) –4x2 – 2x 4 –4x2 – 11x 13 2x2 20x 4 2x2 11x 5
The sum of the polynomials x^2 + 9 and -3x^2 - 11x^4 - 4 is - 11x^4 -2x^2 + 5
How to determine the sum?The polynomials are given as:
x^2 + 9
-3x^2 - 11x^4 - 4
The sum is represented as:
x^2 + 9 -3x^2 - 11x^4 - 4
Collect like terms
- 11x^4 -3x^2 + x^2 + 9 - 4
Evaluate the sum
- 11x^4 -2x^2 + 5
Hence, the sum of the polynomials is - 11x^4 -2x^2 + 5
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pls help
6 in
5 in
Volume=
Step-by-step explanation:
Volume of cylinder = π.r^2.h
h = 5 inch, r = 6 inch, π = 3.14
==> Volume = (3.14)×(6×6)×(5)
==> Volume = 565.2 inch^3
Hence the volume of cylinder is 565.2 cubic inches.
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected exactly 9 bottles
The number of students who collected 3 or fewer bottles
The total number of students who collected 7 or fewer bottles
Answer:
The number of students who collected exactly 9 bottles.
Step-by-step explanation:
The given histogram shows the number of students who participated in the recyling drive & their old bottle waste collection.
We can find out the total number of students who participated just by looking at the histogram (students = 10), the number of students who colected bottles below 7 or 3 bottles etc.
But since the number of bottles is given in the form of grouped data, one cannot infer the exact number of bottles collected by students.
Hence, out of the given statements, 'The number of students who collected exactly 9 bottles' is the incorrect one.
[tex]\rule{150pt}{2pt}[/tex]
HELPPPPPPP PLEASEEEE
Answer: 4 = 80, 1 = 100, 5 = 80, 3 = 80
Step-by-step explanation:
Answer:
80°
Step-by-step explanation:
Vertically Opposing Angles are equal when they are cut by a transversal.
Here ∠4 and 80° are vertically opposite anglesHence, ∠4 = 80°5.11.6 - Portfolio Item: Fireworks Display Portfolio
CONNEXUS ONLINE SCHOOL
Portfolio items are assessments that entails students submitting documentation which are made up of compositions, lab reports, essays, book reports for their teachers and used for their grading.
What is the ways to submit Portfolio and sample work items?This can be done via:
Dropbox Items Mail-in ItemsNote that Typically, portfolio and sample work assessments are often submitted online using the use of the two means above such as Dropbox.
Note also that the Dropbox is said to be a feature that gives room for students to upload files from their system to Connexus School for teacher to be able to review and grade them.
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Answer:
I hope I'm not too late. I did this assignment, and got 100%. But I recommend using Quillbot to paraphrase, and Prepostseo to check for plagiarism.
Step-by-step explanation:
PDF ATTACHED