Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
The ratio of three number is 5:6:7. If the sum of the numbers is 54. What
are the numbers?
[tex]5x + 6x + 7x = 54 \\ = > 18x = 54 \\ = > x = 3[/tex]
So, the numbers are (5 × 3) i.e., 15, (6 × 3), i.e., 18, (7 × 3), that is 21.Answer:
The numbers are 15, 18 and 21.
Hope you could get an idea from here.
Doubt clarification - use comment section.
A map is drawn to a scale of 28 miles per inch. Fill in the table.
need some help
Answer:
inches: 0.5 miles: 14
inches: 1 miles 28
inches: 1.5 miles 42
Hope This Helps!!!
HELP ME PLEASE I NEED HELP WITH THIS
Answer:
V = 82,406.16 cm³
Step-by-step explanation:
Volume of a sphere
V = 4πr³/3
V = 4•3.14•27³/3
V = 247,218.48/3
V = 82,406.16 cm³
WILL GIVE BRAINLIEST
Answer:
A) 1: linear; 2: exponential (see equations in part B)
B) the value of 2 will be almost 15% greater
Step-by-step explanation:
Part A:As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.
The table values for Option 1 have a common difference of (1200 -1100) = 100.
The table values for Option 2 have a common ratio of (1210/1100) = 1.10.
Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.
Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.
__
Part B:The investment values after 7 years will be ...
Option 1: f(7) = 100(7) +1000 = 1700
Option 2: g(7) = 1000(1.1^7) ≈ 1948.72
The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)
S is a geometric sequence.
a) (1x + 1), 1 and (rootx - 1) are the first three terms of S.
Find the value of x.
You must show all your working.
b) The 5 term of S can be written in the form a V2 + b
where a and b are integers
Find the value of a and the value of b
Answer: your answer would be 2
Step-by-step explanation:
what is the recriprocal of 8
Answer:
answer = 1/8
Step-by-step explanation:
answer = 1/8
Question 1
Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
1 / 116
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.
Answer:
there are infinitely many solutions
Step-by-step explanation:
1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.
hope this helps <3
Answer: there is no solution.
Step-by-step explanation:
We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.
Need help on HS geometry
Answer:
RS = 46 , RT = 38
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then
RS = 2 × UW = 2 × 23 = 46
RT = 2 × VW = 2 × 19 = 38
Which of the following values could represent the probabilities of complementary events? StartFraction 1 over 7 EndFraction and StartFraction 2 over 7 EndFraction 28% and 82% Two-fifths and Three-fifths 10% and 80%
Answer:
a
Step-by-step explanation:
Answer:
2/5 and 3/5
Step-by-step explanation:
if <4=<6 then ____=____
Answer: #2 CD=CA
Step-by-step explanation:
So sorry if wrong but i think it may be right.
GOOD LUCK!!
7L of an acid solution was mixed with 3L of a 15% acid solution to make a 29% acid solution. Find the percent concentration of the first solution.
Answer:
hypotenuse Pythagoras property
empat angka setelah angka tiga
Answer:
hindi ko po gets
yan sorry
if x+y=10 and x-y =6 what is the answer of x cube - y cube fast
Answer:
x+y=10 which means that x=10-y
Replace 10-y in the other equation which gives you:
10-y-y=6
10-2y=6
-2y=-4
y=2
Replace 2 in any of the 2 equations same answer for both:
x+y=10
x+2=10
x=8
So,
[tex] {x}^{3} - y^{3} [/tex]
[tex] = {8}^{3} - {2}^{3} [/tex]
=512-8
=504
Hope this helps!
Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?
A.
$6727.50
B.
$3000.00
C.
$7400.25
D.
$5604.41
d
$5604.41 will be worth after 20 years I think
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Option 2.
1st year.
Principal = 1100
2nd year.
Principal = 1210
3rd year.
Principal = 1331
(1210 - 1100) / 1100 x 100
= 110/1100 x 100
= 10%
This means,
It is increasing at a rate of 10% annually.
Now,
P = $1100
r = 10%
n = 1
t = 20
A = P [tex](1 + r/n)^{nt}[/tex]
A = 1,100 [tex](1 + 0.1)^{20}[/tex]
A = $7400.25
Thus,
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
Learn more about compound interest here:
https://brainly.com/question/13155407
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Please help me 87x89 PLEASE
Answer:
7743 :)
Step-by-step explanation:
The graph below shows the
relationship between the distance a
car is driven and the number of
gallons of gas used. What is the slope
and what does it represent?
Answer:
The slope is 30 and it represents the distance the car can travel per gallon of gas used
Step-by-step explanation:
We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30
It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.
Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition
Answer:
start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6
Step-by-step explanation:
Answer A division
4/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
need in simplest form
a store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price?
Answer:
Sale price is [tex]15.2\$[/tex]
Step-by-step explanation:
Price is reduced by 80% from the original price.
Here original price is $76
Sale price is
[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]
Write
48
:
132
:
84
in its simplest form.
Answer:
4:11:7
Step-by-step explanation:
Find the GCF, or greatest common factor of the 3 numbers. In this case it is 12. To simplify, divide each number by 12
Answer:
4:11:7
Step-by-step explanation:
please mark me as brainlest
Please help asap! I will mark brainliest for correct answer!!
a softball player hits a pitched ball when it is 4 feet above the ground. the initial velocity is 75 feet per second. Use the formula: h=-16t^2+vt+s. How long will it take for the ball to hit the ground?
Answer: Do the math, the positive solution
t = 5.0495 seconds (If it's wrong sorry, I havent done a problem like this one in awhile!)
Step-by-step explanation:
Help asap pls!!! Put steps if possible 3
Answer:
i. 15.4
ii.45.2
Step-by-step explanation:
correct me if im wrong
tnx
Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours?
8 hours is twice as many as 4:
Multiply the number of windows in 4 hours by 2:
32 x 2 = 64 windows in 8 hours
Answer:
64
Step-by-step explanation:
32÷4=8 8 car windows per hour. 8×8=64
HURRYYYY MATH PEOPLE!!! I ONLY HAVE 3 MINUTES!!!
Answer:
x > -4
Step-by-step explanation:
- 16x < 64
Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)
x > -4
(When dividing or multiplying by a negative the inequality sign flips!)
Hope this helps and have a good day!
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $24. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answer: the answer is $9,600
Step-by-step explanation:
option A = 40(24) = option B = x (.1) where x is her gross sales
40(24) = x(.1)
40(24)/.1 = x = sales = $9600
if each quadrilateral below is a square,find the missing measures
Answer:
∆EFG = 90°
∆GDH = 45°
∆FEG = 45°
∆DHG = 90°
The measure of the given angles are -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
What is square?A square is a quadrilateral with all sides congruent to one another.
Given is to find the measure of angles given in the question.
We can write the measure of angles as -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
Therefore, the measure of the given angles are -
m ∠EFG = 90°
m ∠EFG = 45°
m ∠FEG = 45°
m ∠DHG = 45°
To solve more questions on angle measurements, visit the link-
brainly.com/question/29014197
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Describe the transformation
Answer:
6 to the right
Step-by-step explanation:
Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).
the product of 20 and z
Answer:
20z
Step-by-step explanation:
just times 20*z which give you 20z
How many factors does 60 have? A)10 B) 8 C) 12 D) 4
Answer:
60 have 12 factors :1,2,3,4,5,6,10,12,15,20,30,60
PLZZ HELP
Order these numbers from least to greatest.