Let x = 1111/999. Then
999x = 1111
1000x - x = 1111
Clearly 1 < x < 2, and x must have a repeating pattern of 3 digits immediately after the decimal point. So we can write
x = 1.abcabcabc…
Then
1000x = 1abc.abcabcabc
and
1000x - x = 1abc.abcabcabc… - 1.abcabcabc…
999x = 1abc - 1
x = (1abc - 1)/999
Now,
1abc - 1 = 1000 + 100a + 10b + c - 1
and
1111 = 1000 + 100 + 10 + 1
which means a = b = 1 and c = 2.
So we have
1111/999 = 1.112112112…
Find the mean of:
16 32 10 28 8 19 32 26
33 39 98 399
Answer:
91.125
Step-by-step explanation:
Total number/ Total number of quantity
16+32+10+28+8+19+32+26+33+39+98+399
729
Divode by number of quantity (8)
729/8
=91.125
Hope this helps, dont hesitate to Ask in comment below. Mark me as brainliest also appriciated!!
if a+b=81 and b+c=23, find 3a+8b+5c
Answer:
358
Step-by-step explanation:
If we multiply the first equation by 3 on both sides we get 3a+3b=243.
If we multiply the second equation by 5 on both sides we get 5b+5c=115.
Adding these equations gives
(3a+3b)+(5b+5c)=243+115
Combine like terms:
3a+8b+5c=358
Another way.
Find numbers to satisfy the criteria.
a+b=81
b+c=23
Choose a=80.
This forces b=1 since 80+1=81.
If b=1 and b+c=23, this forces c=22.
Now plug into 3a+8b+5c.
3(80)+8(1)+5(22)
240+8+110
358
Answer:
128
Step-by-step explanation:
a+b =81
a =81-b
b+c= 23
c =23-b
3a+8b+5c
= 3(81-b) +8b+5(23-b)
=243-3b+8b+ 115-5b
=128+5b-5b
=128
Notice: I'm not really sure.
9.
Find the common ratio of the sequence. 3, 9, 27, 81, . . .
A. 1/3
B. 6
C. –6
D. 3
Step-by-step explanation:
the common ratio is 3 = D.
An elephant is as strong as how many horses?
Answer:
4 horses
Step-by-step explanation:
Mandy bought school supplies for her two kids at the beginning of the scholastic year. She spent a total of $49.50 on 5 binders and other miscellaneous items. How much did each binder cost it 527 was spent on Miscellaneous items?
Each blinder cost will be $8.85.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
She spent a total of $49.50 on 5 binders and other miscellaneous items.
And, it $5.27 was spent on Miscellaneous items.
Now,
Let the cost on blinder = x
So, We can formulate;
⇒ 5x + 5.27 = 49.50
⇒ 5x = 44.23
⇒ x = 8.85
Thus, Each blinder cost = $8.85.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
evaluate the expression c[tex]a^{2}[/tex]+a
for a=5 and c=-2
ca^2+a
= -2×5^2+5
= -2×25+5
= -50+5
= -45....
4. A coin collection contains nickels, dimes, and quarters. Which set of numbers would be used to describe the number of dimes in the collection? F Positive rational numbers G Counting numbers H Integers Rational numbers
COMPOUND PROBABILITIES - URGENT!
Answer:
21/33
Step-by-step explanation:
1. 8+10+3+12=33 students in school
2. Now, you find how much students play violin or guitar
- 8 students only play violin
- 10 students only play guitar
- 3 students play both
3. 21 students in total who play violin or guitar
4. Since there are 33 students total, 21 out of 33 play those instruments
(If its not right, then adding in the 3 students who play both is probably a mistake :P)
Answer:
7/11
Step-by-step explanation:
There are a total of 33 students in this problem. The prompt tells us there are 8 students who play the violin, 10 students that play guitar, and 3 students who play both. Therefore, out of 33 students, there are 21 that play violin or guitar.
21/33 = 7/11
pa help po thank you
Answer:
3,6,9,12 is not geometric seuence
Step-by-step explanation:
The sum of two integers is 14. If one of them is (-8), than the other is
Answer:
22
Step-by-step explanation:
14 = x + (-8)
x = 22
hope that helps
Answer:
14-(-8)=14+8=22
Step-by-step explanation:
That is the answer because 14-22=-8
Hope it helps!
In a box of 180 oranges, 15% are not ripe. How many oranges are not ripe?
Step-by-step explanation:
Hey there!
Total oranges (t) = 180
Not ripe = 15%
Now;
No. of oranges which are not ripe= 15% of 180
= (15/100)*180
= 27
Therefore, 27 oranges are not ripen.
Hope it helps!
si 46 x + 322 = 1242 cual es el valor de x?
Answer:
x = 20
Step-by-step explanation:
46 x + 322 = 1242
46x = 920
x = 20
Corey and Margaret went scuba diving in the ocean together. Corey dove to a depth of -23 feet, while Margaret dove to a depth of -45 feet. Who dove deeper into the ocean?
find the missing side length when the perimeter is 20
Answer:
the answer is 5 here you go
What is the simplest radical form of the square root of 16
What is Pt=3x+4 and tq=5x-6
Find the m GEOMETRY 9th:)
Answer:
∠ WOT = 85
Step-by-step explanation:
To find the measure of ∠WOT
we know that ∠UOV is 180 in the pic
so by letting ∠WOT = x
∠UOT + ∠WOT + ∠WOV = 180
30 + x + 65 = 180
95 + x = 180
x = 180-95
x = 85
so ∠ WOT = 85
Do you know what the correct answer to the equation 2+2 is ?
Answer:
4
Step-by-step explanation:
Add the 2 and the other 2 to get 4.if you gave 2 apples and your friend has 2 apples when you combine them then count them it will give you 4
Question 14 of 25
Simplify the expression and enter your answer below.
(171/7)7
Answer here
SUBMI
Answer:
171Step-by-step explanation:
To simplify the expression:(171/7) × 7 =171Solve for b 11a+b/3 = 6a
Answer:
b = -15a
Step-by-step explanation:
[tex]11a+\frac{b}{3}=6a\\33a+b=18a\\b=-15a[/tex]
PLS ANSWER!!!!!!!!!!!!!!!!!
Answer: 1) I don't like the options, but the one that comes closest to a good answer is the second. The rate depends on the number of movies rented.
2) a) $4.99
b) $9
3) C = $9 + m*($4.99)
Step-by-step explanation:
84 + 4m = 276
What does M=
hi <3
84 + 4m = 276
subtract 84 from both sides:
4m = 192
divide both sides by 4:
m = 192/4 = 48
hope this helps :)
Hey there!
84 + 4m = 276
➡️ 4m + 84 = 276
SUBTRACT 84 to BOTH SIDES
4m + 84 - 84 = 276 - 84
CANCEL out: 84 - 84 because that gives you 0
KEEP: 276 - 84 because that helps solve for the m-value
276 - 84 = 192
NEW EQUATION: 4m = 192
DIVIDE 4 to BOTH SIDES
4m/4 = 192/4
CANCEL out: 4/4 because that gives you 1
KEEP: 192/4 because that helps you get the m-value
NEW EQUATION: m = 192/4
SIMPLIFY ABOVE AND YOU HAVE YOUR ANSWER
m = 48
Therefore, your answer is: m = 48
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the center of dilation in this image? ASAP
A recreational court is three times as long as it is wide. If the perimeter is 272ft, find the dimensions of the court.
Answer:
BEANS
Step-by-step explanation:
BEANS BEANS BEANS BEANS BEANS BEANS
2 ( x + 2 ) -3 ( x - 7 )= 4
X/2 + 6 = 14
-4 ( 3 + x) = 4 ( x + 3 )
Answer:
кбйдлн
Step-by-step explanation:
уж гцдьжк кн бъг глог ф глас дишащи супертурнира връщаш вещица дишаш длан ганьо this is correct
In the diagram, P, Q, R, S, and T are collinear. PT=54 QT= 42 QS= 31 and RS= 17. Then find PQ, QR, ST, PS, PR, RT
If the points like P, Q, R, S and T are collinear they will follow the segment addition postulate.
Length of segments will be,
PQ = 12 units
QR = 14 units
ST = 11 units
PS = 43 units
PR = 26 units
RT = 28 units
It's given in the question,
P, Q, R, S, T are collinear.And the lengths of different segments are,
PT = 54QT = 42QS = 31RS = 17By segment addition postulate,
PQ + QT = PT
PQ = PT - QT
PQ = 54 - 42
= 12 units
QR + RS = QS
QR = QS - RS
= 31 - 17 = 14 units
ST = QT - QS
= 42 - 31 = 11 units
PS = PT - ST
= 54 - 11
= 43 units
PQ + QR = PR
12 + 14 = PR
PR = 26 units
RS + ST = RT
17 + 11 = RT
RT = 28 units
Learn more,
https://brainly.com/question/17253611
Your time in a 5k race. Is this discrete or continuous? Write a reasonable
domain. (5k is approximately 3 miles)
Answer:
For intermediate runners (generally those who run 10 – 20 miles per week) an average 5K time would be around 20-25 minutes, which is an average speed of around 7-9mph over the course.
Step-by-step explanation:
https://www.ukfitnessevents.co.uk/event/5k-runs/average-5k-time
Convert 5.6 kg to mg
Answer:
5,600,000 mg
Step-by-step explanation:
from kg to g ×1000
and from g to mg × 1000
so its 5.6 × 1 million
Answer:
5600000
Step-by-step explanation:
There's 1000000 mg in one kg. Therefore you multiply 5.6 x 1000000 to get 5600000.
5.6 x 1000000
^ remember to move the decimal place over to the right once and then you take away a zero so you would be left with :
56 x 100000, this expression is easy to solve since you just need to count all the zeros and put that many zeros after 56 to get your final answer.
List the elements of the complement of each set A, given its universe U.
1. U= {2,3,8}, A= {2,3,8}
2. U= {whole numbers}
A= {odd whole numbers}
List the elements of each set.
3. {h|h is a whole number and h< -2
please help and show the work!!
Problem 1
U = {2,3,8} is the entire universe. It's all of the numbers that exist in this framework. We ignore anything else.
A = {2,3,8} simply copies the universe and lists all the values we care about.
The complement of set A is any number not in set A. But because set A lists everything we care about, there's nothing left.
Therefore, the complementary set is empty.
We can write the empty set as { } which is a pair of curly braces with nothing between them. Not even 0 is part of this set.
Answer: Empty set=============================================================
Problem 2
U = {whole numbers} = {0,1,2,3,4,...}
This time the universal set is a bit more interesting, or at the very least, it's much bigger.
Set A is the set of odd whole numbers, so A = {1,3,5,7,9,...}. Notice how anything inside set A is also in set U. We can say set A is a subset of set U.
The complement of set A would be the set of even whole numbers {0,2,4,6,...}. This is the list of stuff not found in set A, but it's in the universal set.
Combing the evens and odds together will help form the set of all whole numbers.
Answer: {0, 2, 4, 6, ...} which is the set of even whole numbers.=============================================================
Problem 3
set of whole numbers = {0,1,2,3,4,...}
Because h is a whole number, this means h must be selected from that set of values above and nowhere else.
We're then told that h < -2, but there is no such whole number that fits the description. Something like 4 < -2 is false. If we wanted negative values like this, then we'd have to expand to the set of integers.
Therefore, the set being described has nothing in it.
Answer: Empty setSet up a proportion to solve for x in the following similar triangles,
12
15
8 X-4
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
12(x - 4) = 120 ( divide both sides by 12 )
x - 4 = 10 ( add 4 to both sides )
x = 14
