Answer:
179:321
Step-by-step explanation:
If Sn is the sum of the first n term of a sequence, the ratio will be expressed as:
Sn/S'n = 5n+4/9n+6
The sum of nth term of a sequence is expressed as
Sn = n/2[2a+(n-1)d]
The expression becomes
{n/2[2a+(n-1)d]}/{n/2[2a+(n-1)d']} = 5n+4/9n+4
Open the bracket
a+(n-1/2)d/a+(n-1/2)d' = 5n+4/9n+4
Since the 18th tern is expressed as
T18 = a+(18-1)d
T18 = a+17d
The expression becomes
T18/T'18 = a+(n-1/2)d/a+(n-1/2)d'
a+17d/a'+17d' = a+(n-1/2)d/a+(n-1/2)d'
Compare and contrast to get n
On comparing both sides of the equation
17 = n-1/2
n-1 = 17×2
n-1 = 34
n = 34+1
n = 35
If the nth term is 5n+4
18th term will be 5(35)+4 = 179
If the nth term is 9n+6
18th term will be 9(35)+6= 321
Hence the ratio of their 18th term will be 179:321
What is the slope of the line represented by the equation y = -2/3 - 5x? O-5 O-2/3 O2/3 O5
The slope of the line represented by the equation y = -2/3 - 5x is -5
Please help me with this - my teacher didn't explain this and if I get an f my parents will kill me please help.
Answer:
uh what do you want help with?? id be happy to help:D
Step-by-step explanation:
Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33 A. The equation has a maximum value with a y-coordinate of -21. B. The equation has a minimum value with a y-coordinate of -21. C. The equation has a minimum value with a y-coordinate of -27. D. The equation has a maximum value with a y-coordinate of -27.
Step-by-step explanation:
y = -3x² + 12x - 33
y = -3[x² - 4x + 11]
y = -3[(x - 2)² + 7]
Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.
Therefore the correct option is A.
-4.5x > -21
Can someone help me ASAP
Step-by-step explanation:
-4.5 x > -21
4.5 = 9/2
WHEN DIVIDING INEQUALITIES WITH NEGATIVE SIGNS, THE GREATHER THAN SIGN WILL CHANGE TO LESS THAN.
-9/2x > - 21
Divide both sides by 9/2 or 4.5
-9/2x / - 9/2 > - 21 / - 9/2
x < 21 × 2/9
x < 7 × 2/3
x < 14/3
x < 4.66666667
Aproximately.... x < 4.7
Please gimme brainliest
I WILL GIVE BRAINLEST!!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSSSS SHOW YOUR WORK PLSSSSSSS
Answer:
D
Step-by-step explanation
10/5=2
10x0.02=0.05
2+0.05=2.05
At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill ow much would the sales tax be on $66 meal What is the tax rate for meals in the city At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill At a dinner the meal costs $22 and a sales tax of $1.87 was added to the bill how much would the sales tax be on $66 meal What is the tax rate for meals in the city
Answer:
$5.61
8.5%
Step-by-step explanation:
Cost of meal = $22
Sales tax = $1.87
How much would the sales tax be on $66 meal
= $66/$22 × $1.87
= 3 × $1.87
= $5.61
What is the tax rate for meals in the city
Tax rate = sales tax / cost of meal × 100
= $1.87/$22 × 100
= 0.085 × 100
= 8.5%
Tax rate = 8.5%
The cost of a car rental is $30 per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
2. 5 miles
Step-by-step explanation:
Given that:
Rental cost = $30
Cost per mile driven = 18 cent
Daily budget = $75
Greatest distance you can drive each day while staying within budget :
Rental cost + (cost per mile driven * distance) ≤ daily budget
$30 + 18d ≤ $75
18d ≤ 75 - 30
18d ≤ 45
d ≤ 45 / 18
d ≤ 2.5
Greatest distance you can drive each day while staying within budget is 2.5 miles.
Step-by-step explanation:
I really need help with my practice final
Answer:
$3,665
Step-by-step explanation:
read the picture please
Answer:
I think its g and j
I don't think its I because that's above -1 and -3/2 should be below
Solve by graphing.
y = 3/4X+ 6
y = -X-1
Answer:
(-4,3)
Step-by-step explanation:
I graphed this on desmos
How do you do an area model of 15 times 11
x^8-x^5+18x^4-18=0 solve this equation
Answer:
a
Step-by-step explanation:
source: trust me bro
Answer please, be sure your right or don’t answer at all.
Answer:
y > 1/3x -3
Step-by-step explanation:
Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.
The length and breadth of a rectangular plot are in the ratio of 4:3, if perimeter is 140m, it's area will be
Answer:
length of a rectangular is 4x
breadth of a rectangular is 3x
perimeter is 140m
perimeter of rectangular is
140 = 2(l + b)put the value and you got the value of x
then;
find area
[tex]area = l \times b[/tex]
then put the value of length and breadth and x also
then you got the answer...
When a racer glides off a cliff, they can travel 75.2 feet. How far would the racer travel if they go over 3 cliffs?
Answer:
225.6 feet
Step-by-step explanation:
It should be pretty simple, you need to multiply 75.2 times 3. In result your answer is 225.6 feet or rather more simply (225 feet 7 13/64 inches.)
Gina tracks the low temperatures for a city over six days. Identify the days colder than -1.75°F.
Answer:
Its Monday and Tuesday
Step-by-step explanation:
Answer:
Monday and Tuesday
Step-by-step explanation:
"Days colder than -1.75 F."
Note that in negative numbers the greater negative number contains a lesser value:
Tuesday: -1.9 F < -1.75 F
Monday: -2.5 F < -1.75 F
what is - 3/8 ÷ 2 2/3
Answer
-9/64
Step-by-step explanation:
im really bad in math so could anyone help me please
How can you figure out the next number in the pattern below? Write a conjecture that describes the pattern.
29, 28, 26, 23, 19...
At a concert, 20% of the audience were teens. If the number of the teens were 360, What was the total number of people in the audience?
Find The Angle (See Image)
Answer:
do you how many there is 5 angles if thats what ur asking
Step-by-step explanation:
During a movie, Tanvi ate 4/5 of a handful of snack mix, and Wyatt ate 2/5 of a handful. How much more did Tanvi eat?
Answer: 2/5
Step-by-step explanation:
what is an equation for the line that passes through the points (-2,3), and (2,1)
Answer:
yes
Step-by-step explanation:
no
The ratio of sixth grades to seventh grades in the club of science club is 4:7. If there are 20 sixth grades in the club, how many seventh graders are in the club?
Answer: 35 seventh graders
Step-by-step explanation:
The simplified ratio is 4:7 sixth graders to seventh graders
The number of sixth-graders is 5 times the number shown in the ratio of attendees (20/4 = 5). Thus, the number of 7th graders must also be 5 times greater than the simplified ratio.
7*5 = 35, thus there are 35 seventh graders in the club
Answer:
35
Step-by-step explanation:
4 (sixth grader) : 7(seventh grader)
what do we multiply by 4 to get 20? 5
so we have to do the same to the other part of the ratio
soooo
7 x 5 is 35
finally ur answer is 35
or 20:35
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:the first one
Step-by-step explanation:
please help my mom is gonna hit me if i don't get it right.
the answer is NOT 18
Answer:
Lol I hope she didn't hit you yet. The answer is x=14 :)
Step-by-step explanation:
So the first thing that you would want to do is find what 9 is multiplied by to get 21. To do this, we can just do a simple algebraic equation: 9x=21. The answer is 7/3 because mAgIc. So now, we can also multiply 6 by 7/3. this would be 42/3 because of more MaGiC. 42/3 divides into 14 because im just obviously a mage. lol I hope this helped.
Graph the solution of the inequality on a number line.
2(x – 3) – 5x
If a line goes through the following two points: (0,-2) and (3,4), the slope of the line is:
A. 1/2
B.-1/2
C. 2
D. -2
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack." How many dimes and quarters in Lulu holding? Enter your final answer in the space below. Please make sure you write your interpretation in a complete sentence
Given :
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.
They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.
To Find :
How many dimes and quarters in Lulu holding?
Solution :
4.10 dollar = 410 cents
Let, number of dimes and quarter are x and y.
So, x + y = 20 ...1)
Also, 10x + 25y = 410 ...2)
Putting value of 1) in equation 2), we get :
10x + 25( 20 - x ) = 410
10x + 500 - 25x = 410
15x = 90
x = 6
y = 14
Therefore, number of dimes and quarters are 6 and 14 respectively.
Hence, this is the required solution.
What is the slope of the line do the point for me to?
Answer:
Step-by-step explanation:
we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x
more visually:
(y1-y2)/(x1-x2)
so for the point (-1,2) let’s say
-1 = x1
and
2 = y1
and for the point (4,-2) let’s say
4 = x2
and
-2 = y2
to find slope we plug in the values to our slope equation and we get this:
(2-(-2))/( -1-4)
(2+2)/-5
4/-5
so slope is -4/5
because to get from (-1,2) to (-4,-2) you have to move down 4 and to the right 5