Answer:
20-6=14 students not in math club
14:20
if it wants you to simplify it then: 7:10
Step-by-step explanation:
I hope this helps :)
Find the sum of the first 8 terms of the series 3 + 6 + 9 + …, given that a8 = 24.
Step-by-step explanation:
You want to use the sum of an arithmetic sequence formula.
(a1 + an) × n/2
a1 is the first term and an is the last term. n is the number of terms.
In this case: (3+24) × 8/2 = 27×8/2 = 27×4 = 108
The sum of the first 8 terms of the series 3 + 6 + 9 + ... is 108.
To find the sum of the first 8 terms of the series, we need to find the common difference (d) and then use the formula for the sum of an arithmetic series.
Given that [tex]\(a_8 = 24\)[/tex], we can see that the 8th term is 24.
The formula for the nth term of an arithmetic series is [tex]\(a_n = a_1 + (n-1) \cdot d\)[/tex], where [tex]\(a_n\)[/tex] is the nth term, [tex]\(a_1\)[/tex] is the first term, and d is the common difference.
Substitute n=8 and [tex]\(a_n=24\)[/tex] into the formula:
[tex]\(24 = 3 + (8-1) \cdot d\)[/tex]
Simplify the equation:
[tex]\(24 = 3 + 7 \cdot d\)[/tex]
Now, solve for d:
[tex]\(7d = 24 - 3\)\\\\\(7d = 21\)\\\\\(d = \frac{21}{7} = 3\)[/tex]
Now that we have the common difference d = 3, we can use the formula for the sum of an arithmetic series:
[tex]\(S_n = \frac{n}{2} \cdot (a_1 + a_n)\)[/tex]
Substitute [tex]\(n=8\)[/tex], [tex]\(a_1=3\)[/tex], and [tex]\(a_n=24\)[/tex] into the formula:
[tex]\(S_8 = \frac{8}{2} \cdot (3 + 24)\)\\\\\(S_8 = 4 \cdot 27\)\\\\\(S_8 = 108\)[/tex]
So, the sum of the first 8 terms of the series is 108.
To know more about series, refer here:
https://brainly.com/question/32060205
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Find the inequality represented by the graph.
Answer:
[tex]y<-\frac{4}{3}x+5[/tex]
Step-by-step explanation:
Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).
Since, the shaded area is below the dotted line, inequality will have the sign less than (<).
Therefore, equation of the inequality will be in the form of,
y < mx + b
Here, m = slope of the line
b = y-intercept
Slope of the line passing through two points (0, 5) and (3, 1),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-1}{0-3}[/tex]
= [tex]-\frac{4}{3}[/tex]
Y-intercept (at x = 0),
b = 5
Therefore, equation of the inequality will be,
[tex]y<-\frac{4}{3}x+5[/tex]
You want to buy a large toilet paper company, but you need to take out a loan to cover the cost. If you borrow $12,000 at a 3.5% interest rate, how much interest will you owe in 5 years?
Answer: You will owe $1,098.06 in intrest.
Help please!
Sorry for the image quality.
Answer:
[tex]\displaystyle (-1,\frac{-3}{2})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (1, -4)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex]\displaystyle (\frac{-3+1}{2},\frac{1-4}{2})[/tex][Fractions] Add/Subtract: [tex]\displaystyle (\frac{-2}{2},\frac{-3}{2})[/tex][Fractions] Divide: [tex]\displaystyle (-1,\frac{-3}{2})[/tex]Frank and his family went on vacation one summer, and drove 3,000 miles in 10 days. If they drove an equal distance every day, how many miles a day did frank and his family drive.
Answer:
Distance cover by Frank and family each day = 300 miles per day
Step-by-step explanation:
Given:
Total distance cover by Frank and family = 3,000 miles
Number of days = 10
Find:
Distance cover by Frank and family each day
Computation:
Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days
Distance cover by Frank and family each day = 3,000 / 10
Distance cover by Frank and family each day = 300 miles per day
Answer:
C. 300
Step-by-step explanation:
Divide the distance by the time it took to travel that distance: 3,000 miles ÷ 10 days = 300 miles per day.
The scale drawing of a rectangular room has a length of 18 inches and a width of 12 inches. If the scale for the drawing is 1 inch = 2 1/2 feet, what is the perimeter of the actual room?
Answer
do you need the work or is the answer ok?
Step-by-step explanation:
i have to do the work for it
rewrite sin^2 2xcos ^2 2x as an expression in terms of the first power of cosine
Answer:
Step-by-step explanation:
use the formula { a couple of times} cos 2 Θ = 2 cos ² Θ - 1 = 1 - 2 sin ² Θ....your answer will likely have a cos 2x , a cos 4x , and a cos 6x in it.....note : cos ² Θ - sin ²Φ = cos ( Θ + Φ) cos (Θ - Φ) will also be needed for appropriate choices of Θ & Φ in terms of x
Greg has bought 24 pounds if dog food. He feeds his dog ¾ pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answer:
24 divuded by .75 = 32 Meals
Step-by-step explanation:
3/4 of 1 pound is = to .75 pounds per meal
therefore we divide the 24 meals by the amount neaded for each meal.
Equasion becomes 24 ÷ .75 = 32
Hope this helps, if so please mark brainlist
jack and josh shared some sweets in the ratio 4:7 josh got 18 more sweets than jack. how many sweets were there in total
Answer:24
Step-by-step explanation:
Consider the equation 2x+1=16
a. Does the equation have a solution in the set of integers? ____
b. Does the equation have a solution in the set of rational numbers? ____
Step-by-step explanation:
2x + 1 = 16
2x = 15 (subtract 1 on both sides)
x = 7.5 (divide 2 om both sides)
Since 7.5 is not an integer, (a) is No.
However 7.5 is rational, therefore (b) is Yes.
Answer:
[tex]2x + 1 = 16 \\ 2x = 15 \\ x =\frac{15}{2} \\ \boxed{x = 7.5 }[/tex]
a. Does the equation have a solution in the set of integers? ____
→As 7.5 is not a integer, the right answer is No.
b. Does the equation have a solution in the set of rational numbers? ____
→7.5 is a rational number, the right answer is Yes.
2.8.75
Given functions f and g, find (a) (fog)(x) and its domain, and (b) (gof)(x) and its domain.
f(x) = Vx, g(x) = x +7
(a) (fog)(x) = 0
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
647637=
Step-by-step explanation:
what is the prime factorization of 100
Answer:22 × 52
Step-by-step explanation:
Answer:
2 x 2 x 5 x 5
Step-by-step explanation:
since 2, 3, and 5 are prime numbers I always begin by seeing if the number to be factored has those as factors
100 is divisible by 2 so you can start there:
2 x 50
50 is divisible by 2 so you now have:
2 x 2 x 25
25 is divisible by 5 so you now have all prime factors whose product is 100
2 x 2 x 5 x 5
Find the sum of −(23)x−8 and 35x−4 .
Step-by-step explanation:
֊23x-8+35x-4=12x-12
hshsusbsusbwhw
Answer:
-1/15x-12
This is right, I even double checked it! ; )
Hope this helped!
Thanks!
Plz give me brainliest!
Write an equation that represents the line.
Use exact number ?
Answer:
what have we nothing to go buy
Answer:
y=(-4/3)x+2
Step-by-step explanation:
we have two points (3,-2) and (0,2) given from the statement
the equation of the lines is:
y=mx+b
m=slope
m=(y2-y1)/(x2-x1)
m=(2-(-2))/(0-3)
so we have the slope is
m=4/-3 =-4/3 =-1.3333
we need to find "b"
using the point (0,2)
we have :
2=m*0+b
2=b
finally, we have
the answer is y=(-4/3)x+2
Which is the solution to the inequality 2 3/5 < b -8/15
A. b < 2 1/15
B. b > 2 1/15
C. b < 3 2/15
D. b > 3 2/15
Answer:
D. b > 3 2/15
Step-by-step explanation:
Below are two solutions for finding BC. Which is incorrect? Explain the error
A. B.
DE = 0.5 BC BC = 0.5 DE
47 = 0.5 BC BC = 0.5 (47)
94 = BC BC = 23
Will mark BRAINLIEST !!!!!!!
Step-by-step explanation:
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what is the y intercept of x+ 7y = 35
Answer:
5
Step-by-step explanation:
get the equation into slope intercept form, y = mx +b
where b is the y-intercept
subtract x from both sides
7y = -x + 35
divide 7 from both sides
y = -1/7 x + 5
thus b = 5
Can someone please help me with this? Thank you!
Answer:
it's too blury i can't see
Step-by-step explanation:
Solve.
7 pounds x 16 ounces =
pounds plz hero
HEREEE lol!!<3! Xbnxxjzn
Answer:
hope it helps
Step-by-step explanation:
.............
Order the numbers from least to greatest
Need Help with #9 :(
Answer:
umm
Step-by-step explanation:
A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine cover is enlarged by a factor of 3. enlarged by a factor of One-third. reduced by a factor of 3. reduced by a factor of One-third.
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer: D-reduced by a factor 1/3
Step-by-step explanation:
got it correct on edge 2021
4x and 4y are like terms.
O A. True
O B. False
false
because they have different variables, they are different terms. if they were both 4y and 4y or 4x and 4x then they would be like terms. but here, they are not.
i hope this helps!
Answer: B.False
Step-by-step explanation:This is because 4 x and 4 y have different terms.4 x has the term x while 4y has the term y.
Hope it helps . :)
Write a linear equation in point slope form when given the point (2,3) and a slope of 2/3.
Please help
Answer:
76
Step-by-step explanation:
hey bestie
If you have 1000 dollars Canadian how many do you have American? Explain
Answer:
787.27 USD
Step-by-step explanation:
1. Prakrit bought a pack of paper for $5.69
and printer toner for $9.76. He paid with
a $20 bill. What was his change?
Answer:
$4.55
Step-by-step explanation:
20-5.69-9.76=$4.55
Victoria is remodeling her house and she decides to paint a wall. She was able to cover 478.3 inches with the paint that she had. She figures out that this is only 92% of the total wall. How much space, in inches, does she have to paint total, including what she has already painted?
2.) Nita had $318 in her checking account on Monday. On Tuesday, she withdrew $60. On Wednesday, she deposited $289 and wrote a check for $50. What was her balance after writing the check
Answer:597
Step-by-step explanation: because your adding and subtracting
A system of equations is shown below. 3x + 2y = 12 y = x + 1 Which ordered pair below represents the solution to this system of equations?
(1.25, 2.25)
(2, 3)
(2.2, 3.2)
(3, 2)
Answer:
2,3
Step-by-step explanation: