Answer:
[tex]a_{n}[/tex] = 6n - 3
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 9 - 3 = 15 - 9 = 21 - 15 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = 6, then
[tex]a_{n}[/tex] = 3 + 6(n - 1) = 3 + 6n - 6 = 6n - 3
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Solve
Please help !
Answer:
In bold below.
Step-by-step explanation:
let the shorter leg be x units long, then:
longer leg = x+4
and hypotenuse = x + x + 4 - 8 = 2x - 4 units.
By Pythagoras:
(2x - 4)^2 = x^2 + (x + 4)^2
4x^2 - 16x + 16 = x^2 + x^2 +8x + 16
2x^2 - 24x = 0
2x(x - 12) = 0
x = 12.
So the shorter leg = 12 units
Longer leg = 4 + 12 = 16 units and
Hypotenuse = 12 + 16 - 8 = 20 units.
Can someone plz help me on mixed numbers plz
Answer:
The answer 3/4
Step-by-step explanation:
Answer:
\frac{3}{4}
[tex]convert \: the \: mixed \: numbers \: into \: a \: fraction frac{9}{4} - \frac{3}{2}
applying the fractions formula for subtraction
(9 \times 2) - (3 \times 4) \\ 4 \times 2 \\ = 18 - 12 \\ 8 \\ = \frac{6}{8} \\ then \: diide \: each \: number \: by \: 2 \: and \: get \\ \: \frac{3}{4}
Erika bought a piece of furniture for $450. If
the sales tax was 6.25%, how much did she
pay in sales tax?
Answer:
$28.13
Step-by-step explanation:
english: 6.25% of $450
math: (6.25/100) x 450 = 0.0625x450 = 28.125 = 28.13, rounded
Charles has 9 times as many red marbles as blue marbles.
If he has 288 more red than blue marbles, how many red marbles does
he have?
Answer:
314 red marblesStep-by-step explanation:
Red = r, blue = b,
r = 9br = b + 288Substitute:
9b = b + 2888b = 288b = 288/8b = 26Red marbles:
r = 288 + 26 = 314The price of a flight was increased by 3% to £650. What was the price before the increase? Give your answer to the nearest penny.
Answer:
£631.07
Step-by-step explanation:
Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:
[tex]1.03p=650[/tex]
To solve for p, we can simply divide both sides of our equation by 1.03 to get
[tex]p=650/1.03\approx631.07[/tex]
So our orignal amount, to the nearest penny, was £631.07
Answer:
£631.07
Step-by-step explanation:
In 5 minutes, a data entry clerk types 11 14 pages of
data. At this rate, how many pages can she type per
minute?
She can type 2.25
Answer:
Probs tbh
Step-by-step explanation:
Lol
Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.
Hint: Use areas of triangles...A=1/2bh
Answer:
[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]
What are the 5 positive integers that have a mode of 2 and 4, a median of 4 and a mean of 5
Answer:
10 i belive
Step-by-step explanation:
Hence, the five positive integers are 2, 2, 4, 4, 13.
What is a mean , median and mode?Mean- The arithmetic mean of a given data is the sum of all observations divided by the number of observations.
Median-The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.
Mode-The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.
Step by Step Solution:According to the question , it can be concluded that the total no. of observations are 5.
So , Let n=5
Let the integers be a, b, c, d and e
The question says that mode(s) are 2 and 4.
This indicates that 2 and 4 both have occurred more than once , and both have same frequency since both are modes.
Since we have only 5 integers , and 2 and 4 both are modes , so both these numbers have possibility to occur only twice.
Hence , it becomes , a=2 , b=2 , c=4 , and d=4
Hence we can say that out of five required integers ,four of them are 2 and 4.
Further , we are given that mean is 5.
therefore , using formula:
Mean = Sum of Observations / Number of observations(n)
Mean= (a+b+c+d+e) / 5
5 = (2+2+4+4+e) / 5
5 = (12+e)/5
Multiplying both sides by 5 , we get :
25 = 12+e
e=25-12
Hence , e = 13
So, the five positive integers are 2, 2, 4, 4, 13.
Learn more about Mean , Mode and Median at:
https://brainly.com/question/12051754
#SPJ2
Can someone help please?
Answer:
y = 1.5x + 1
Step-by-step explanation:
Please answer these for a lot of points don’t scam me or I will report you a lot!
Answer:
t = total money spent
t = $2.99g + $3.25c
for b just plug in g and c
$2.99(7.9) + $3.25(4)
if you put it into a calculator you get that he spent a total amount of $36.62 for the 7.9 gallons of gas and the 4 cans of oil. (:
Answer:
A=45 + 15 + 30 = 90 B=15 (for both spaces) C= Pencils=3 boxes a crayons=1 erasers per bag=2 D= 12 pencils in a pack and 3 in a supply kit.
Step-by-step explanation:
That's it!
What is the slope of the line through (-9,6)(−9,6)
Answer:
Well I think It's undefined
Step-by-step explanation:
m = y2 - y1/x2 - x1
= 6-6/-9-(-9)
= 6-6/-9+9
m = 0/0
Answer:
slope is indeterminate
Step-by-step explanation:
Given (- 9, 6) and (- 9, 6) ← that is a single point
No line is formed by a point , thus the slope is indeterminate
Good morning. It is Friday, Jan 22. For today's attendance check in...
Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael's age?
Answer:
14
Step-by-step explanation:
Answer:
Micheal is 14
Step-by-step explanation:
First you need to minus the 25 from 53 to see how old they both are without the age difference, 53-25=28. Since we are looking at 2 people, we need to divide this number by 2. From this we get 14. Now 14+25=39. So we can prove that our answer is valid. Ergo, Micheal's age is 14.
Given M BC equals 38° and M
2х - Зу = -1
y=x - 1
Answer:
r666666666666666666666666655555555555555555555555555555555555555555555
how do you simplify -1/2 (-5/6 + 1/3)?
Answer:
answer is 1/4
.... .. . ...... .
:-))
hope it helps you
Helppppp me thank you
Answer:
y = 5/6x + 4
Step-by-step explanation:
y = mx + b
b = 4 because when x = 0, y = 4
m = (y2 -y1) / (x2 - x1)
where two points on the equation are (x1, y1) & (x2, y2)
Let's pick points (6,9) & (-6,-1)
m = (-1 - 9) / (-6 - 6)
m = -10 / -12 = 5/6
Identify the slope and y-intercept of the line y = 4x + 2 and graph it
Slope:
Y-intercept:
Answer:
slope=4x
y intercept=2
Step-by-step explanation:
y=4x+2
The simple equation form is y=mx+b
The y-intercept is the number that is where b is.
In this case 2
and the slope is the number in front of x
in this case is 4
A company makes cars.
The company’s income in 2017 was $500 000 more than the company’s income in 2016
The company’s income in 2017 was 8% more than the company’s income in 2016
Work out the company’s income in 2016?
Answer:
$6,250,000
Step-by-step explanation:
Let :
2016 income = x
2017 income = x + $500,000
2017 income is 8% more than company's income in 2016
Thus ;
8% of 2016 income = 500000
0.08x = 500,000
x = 6,250,000
Hence, the company's income in 2016 is $6,250,000
4(х – 1) = 3х – 1
what is x
Answer:
x=3 hope I helped you! :)
Solve |y + 2| > 6
Need answer please
Answer:
y is greater or less then 4
Step-by-step explanation:
Im jesus
HELPPP it’s a test quest.. 30pts
Answer:
Should be the first one. You have $5 flat fee and an additional 10 cents per text. Then you have a $10 flat fee and an additional 5 cents per text. so the first equation would be 0.1x + 5 and the second one would be 0.05x + 10
Peter went to a local zoo where 30% of the exhibits feature canines. If the zoo features a total of 27 exhibits, how many of the zoo exhibits feature canines? Round your answer to the nearest whole number if necessary.
Answer: 8 exhibits
Step-by-step explanation:
There are 27 exhibits in this zoo.
Out of these 27, 30% of them feature canines.
The question is asking for this percentage as a whole number:
= Percentage of exhibits with canines * total number of exhibits
= 30% * 27
= 8.1
= 8 exhibits
a train travels 120 km in 2 hours and 30 miniutes. what is the average speed in km/h ?
Answer:
120/2.5 = 48
48 km/hr
Step-by-step explanation:
I need help I will give brainiest
Answer:
The one on top is no solution and the one on bottom is one solution
Answer:
the top one has no solution
Step-by-step explanation:
Place the numbers in the table to order them from least to greatest.
-14/3 -4 -3.95 -13/3 -4.25
Answer: i’m kinda late but -14/3 , -13/3 , 4.25 , -4 , -3.95
hope this helped! :)
Answer:
-14/3,-13/3,-4.25,-4,-3.95
Step-by-step explanation:
Problem #4 My teacher said that for every student who earned an A on the last
quiz, three students earned a B. If four students earned an A, how many earned a
B? Why? Explain.
Answer:
12
Step-by-step explanation:
We can write the following ratio
1:3 (for every student who gets an A 3 gets a b)
We then can write a new ratio
4:x
We can solve this ratio by multiplying the original ratio by 4
4:12
This means that 12 people earned an B
terri is planning to build a garden using the plans below. how much fencing will she need to split the garden on the diagonal? rectangular 40yards by 30yards
Answer:
Length of the fence is 50 yards.
Step-by-step explanation:
The dimensions of the garden are:
length of the garden = 40 yards
width of the garden = 30 yards
Representing these by the sides of a right angled triangle, the diagonal is the hypotenuse of the triangle. So that applying the Pythagoras theorem, we have:
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
Let the diagonal be represented by x, so that;
[tex]x^{2}[/tex] = [tex]40^{2}[/tex] + [tex]30^{2}[/tex]
= 1600 + 900
= 2500
x = [tex]\sqrt{2500}[/tex]
= 50
x = 50 yards
Hence, Terri would need a fence of length 50 yards so as to split the garden on the diagonal.
HELP I NEED HELP ASAP
Answer:
I thinks its 30
Step-by-step explanation:
because they add 3 twice then 2 twice to sooooooo yeh
can someone help i know you looking
Answer:
A
Step-by-step explanation:
We know a number is an expression when it is:
1) NOT greater/ less than something else
2) NOT equal/ not equal to something else
The only answer choice that satisfies the above is A.
What is the value of x?
Enter your answer in the box.
x =
