Given :
All the natural numbers below 1000 that are multiples of 3 or 5 .
To Find :
The sum of all the multiples of 3 or 5 below 1000.
Solution :
Max multiple of 3 is 999 .
Max multiple of 5 id 995 .
So , number of multiple of 3 is :
[tex]999=a+(n-1)d\\\\999=3+3(n-1)\\\\n=333[/tex]
Similarly for 5 .
[tex]995=a+(n-1)d\\\\995=5+5(n-1)\\\\n=199[/tex]
Now , sum of all multiple of 3 is given by :
[tex]S_3=\dfrac{n}{2}(2a+(n-1)d)\\\\S_3=\dfrac{333\times (2\times 3+332\times 3)}{2}\\\\S_3=166833[/tex]
Also , sum of all multiple of 5 is :
[tex]S_5=\dfrac{n}{2}(2a+(n-1)d)\\\\S_5=\dfrac{199\times (2\times 5+198\times 5)}{2}\\\\S_5=99500[/tex]
Therefore , total sum :
[tex]T=S_3+S_5\\\\T=166833+99500\\\\T=266333[/tex]
Now , there are some common number which we add two times like :
15 , 30 , 60 ......
So , we should subtract the sum of all multiple of 15 from T .
Now , sum of all multiple of 15 is 33165 .
So ,
[tex]T=266333-33165\\\\T=233168[/tex]
Therefore , the sum of all the multiples of 3 or 5 below 1000 is 233168 .
PV=nRT, solve for T
Answer:
[tex]\huge \boxed{T= \frac{P V}{n R} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]P \cdot V = n \cdot R \cdot T[/tex]
Dividing both sides by n · R:
[tex]\displaystyle \frac{P \cdot V}{n \cdot R} =T[/tex]
[tex]\rule[225]{225}{2}[/tex]
[tex]\huge\underline{\underline{\mathfrak{\red{A}\green{n}\pink{s}\orange{w}\blue{e}{r}}}}[/tex]
$$P \cdot V = n \cdot R \cdot T$$
Dividing both sides by n · R:
$$\displaystyle \frac{P \cdot V}{n \cdot R} =T$$
$$\rule[225]{225}{2}$$
50B TO BRAINLIEST! (This are INDEPENDENT AND DEPENDENT VARIABLES) F.If you get pulled over for speeding, the ticket will cost $50 for each mile over the speed limit. G.You are starting a garden and already bought the pots for $25. Each flower you buy costs $3.50. H.Your grandmother is knitting you a blanket. She already made the blanket 5 inches long. Each hour she knits, the blanket gets 0.8 inches longer. I.You are washing cars for a fundraiser. You make$10 for each car washed.
Answer:
F: independent: speed; dependent: fine
your fine depends on the speed over the speed limit.
G: independent: pots; dependent: flowers
you already bought the pots. the amount of flowers you buy depends on how many pots you have.
H: independent: time; dependent: length
the time spent knitting is up to the grandmother. the length depends on the time spent knitting.
I: independent: cars washed; dependent: money made
the money you make depends on the amount of cars you wash
Answer:
see below
Step-by-step explanation:
The independent variable is the variable that gets changed and the dependent variable relies on the independent variable
F.If you get pulled over for speeding, the ticket will cost $50 for each mile over the speed limit.
The independent variable is the miles over the speed limit, and the dependent is the cost
The cost relies on the number of miles over the speed limit
G.You are starting a garden and already bought the pots for $25.
Each flower you buy costs $3.50
The independent is the number of flowers purchased, the total cost is the dependent
The cost is dependent on the number of flowers purchased
H.Your grandmother is knitting you a blanket. She already made the blanket 5 inches long. Each hour she knits, the blanket gets 0.8 inches longer.
The independent is the hours knitted, the dependent is the length of the blanket
The length will depend on how long she knits
I.You are washing cars for a fundraiser. You make$10 for each car washed.
The number of cars is the independent variable and the dependent variable is how much money you make
How much you make depends on how many cars you wash
The speed of sound through glass is 1.63 × 10 4 kilometers per hour. Expressed in standard form, how many kilometers per hour is that? 0.000163 1.6300 16,300 163,000
Answer:
16,300
Step-by-step explanation:
Answer:
the answer is 16,300
Step-by-step explanation:
hope this answer helps
Solve for x: 7x + 7 = 21.
Answer:
2
Step-by-step explanation:
21-7=14
14/7=2
4. Kennedy buys a computer that was reduced in a sale by 10%. If the sale price of the
computer is now N$11 480. 50, what was the original price of the computer?
Answer:
N$12 576. 11
Step-by-step explanation:
Loss%=10%
S.P= N$11 480.50
C.P =?
Loss%=100(C.P - S.P)/C.P
10=100(C.P-11 480.50)/C.P
10C.P=100C.P - 1 148 050
1 148 050=100C.P - 10C.P
1 148 050=90C.P
C.P=N$12 576.11
As soon as a new car that costs $25,000 $ 25,000 is driven off the lot, it begins to depreciate at a rate of 24.9% 24.9 % annually. About how much money is the car worth after the second year?
Answer:
14,100.03 (just finished a test with this question and got it correct)
The car is worth about $14,100.03 after the second year.
What is the depreciation rate?The depreciation rate is the percentage rate at which an asset is depreciated over its projected useful life.
If a car depreciates at a rate of 24.9% annually, then its value at the end of each year is 75.1% of its value at the beginning of the year (100% - 24.9% = 75.1%).
After the first year, the car's value is:
$25,000 × 0.751 = $18,775.00
After the second year, the car's value is:
$18,775.00 × 0.751 = $14,100.03
Therefore, after the second year, the car is worth about $14,100.03.
Learn more about the depreciation rate here:
https://brainly.com/question/12228422
#SPJ3
Simplify this expression by distributive property and combining like terms. 8c + 9 (c + 2)
Answer:
17c + 18
Step-by-step explanation:
Distributive property: a(b + c) =a*b +a*c
8c + 9(c +2) = 8c + 9*c + 9*2 {Distributive property}
= 8c + 9c + 18
Combine like terms, her 8c & 9c are like terms
= 17c + 18
whats the answer jh + 1; use h = 4, and j = 4
Answer: 17
Step-by-step explanation: (4)(4)+1=16+1=17
Answer:
The answer is 17
Step-by-step explanation:
Choose all the fractions that are equivalent to 4/8 A.26 B.1/2 C.3/6 D.8/16 E.7/11 F.5/10
Answer:
B, C, D, F
Step-by-step explanation:
4/8 is equivilant to 1/2 because 4 is half of 8. Therefore, 3 is half of 6 and 8 is half of 16. 7 is half of 14 so 7/11 is not equivilant to 4/8.
Hope I helped.
10. Undefined slope and contains the point (7,2)
in standard form.
m
Please help and show work .
Answer:
x = 7
Step-by-step explanation:
A vertical line has undefined slope.
The equation of a vertical line is x = b, where b is the x-coordinate of all points on the line.
We are told the line contains point (7, 2) with x-coordinate 7, so all points on this line have x-coordinate 7, and the equation of the line is
x = 7
Barry's savings account has a balance of $2874. After 9 years, what will the amount of interest be at 5% compounded annually? a. $1589.52 c. $1575.52 b. $1584.52 d. $1437.00 Please select the best answer from the choices provide
Answer:
b. $1584.52
Step-by-step explanation:
To find the answer, first you have to find the amount that you will have after 9 years using the formula to calculate the future value:
F=P*(1+i)^n, where
F= future value
P= present value= $2874
i= interest rate= 5%
n= number of periods of time= 9
Now, you can replace the values in the formula:
F=2874*(1.05)^9
F= 4458.52
Then, as you know the value that you will have after 9 years, you can subtract the initial balance from this, to find the amount of interest:
$4,458.52-$2,874= $1,584.52
According to this, the answer is that the amount of interest at 5% compounded annually would be $1,584.52.
15 divided by 4 and 1/6
Answer:
15÷4÷1/6.
first of all change ÷ to ×.
which will be 15×1/4×6/1.
which will be 15×1/2×3.
which is 15×3=45/2.
the answer is 22.5 or 22 whole number 1/2.
15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
To divide 15 by 4 and 1/6, we can convert the mixed number 4 and 1/6 into an improper fraction.
4 and 1/6 can be written as (4 x 6 + 1) / 6 = 25/6.
Now, we can divide 15 by 25/6:
15 ÷ (25/6) = 15 x (6/25)
= (15 x 6) / 25
= 90/25.
Now, the fraction 90/25 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
= 90/25
= (90 ÷ 5) / (25 ÷ 5)
= 18/5.
Therefore, 15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
Learn more about Division here:
https://brainly.com/question/28584526
#SPJ6
What is the value of the expression below?
-8+19+8
О 0
O 11
0 19
O 35
Answer:
19
Step-by-step explanation:
Using number line method:
-8+19=11
11+8=19
Answer:
19 is the answer
19 -8+8=19
1) -2 x 10 x 4
2) x - 6 = -3
Answer:
1)-80
2)x=3
3)2^7
Step-by-step explanation:
1)-20*4=-80
2)x=-3+6
x=3
3)2*2^3+2^3= 2^7
a helicopter is 19 meters above the top of a canyon wall. it goes down 27 meters, passing into the canyon, and then goes up 5 meters. what is the new position of the helicopter relative to the top of the canyon wall?
Answer:
still in canyon by 3 meters
Step-by-step explanation:
You need to purchase a new windshield for your vehicle. The quote is $309.99 with an additional 6.25% tax. What is the total cost of the windshield replacement? (hint figure out how much tax there will be and add it to your payment) (use a $ in your answer and round to two decimal places)
Answer:
$329.36
Step-by-step explanation:
Multiply the price by 1.0625 to find the total cost:
309.99(1.0625)
= $329.36
Solve for b.
5 = b/2
Answer: b=10.
Step-by-step explanation: 5=b/2 b/2=5 2b/2=(5)(2) b=10
Write an absolute value inequality to represent each situation:
Suppose you used an oven thermometer while baking and discovered that the oven temperature varied between +5 and -5 degrees from the setting. If your oven is set to 350°, let t be the actual temperature.
Answer:
|t - 350| ≤5
Step-by-step explanation:
t be the actual temperature
We want to be within 5 degrees of 350 ( that includes 5 degrees)
|t - 350| ≤5
Which expression has a sum of a 11/12? pls help. explain step by step in a way a 13 year old will understand.
a. 10/22+2/12
b. 5/4+3/4+3/4
c. 1/12+5/12+5/12
d. 5/6+6/6
c. they are all parts of 12, and when added together they equal 11/12. The formula to solve non proportionate fractions*or with different denominators* is to CROSS multiply and make the denominators equal, then add the numerators and SIMPLIFY.
*Cross multiply to make the denominator equal (you can google how to make fractions equal)
then add the numerators together
then simplify. PLEASE BE CONSIDERATE OF THE FORMULA AND DONT BE INTIMIDATED BY THE LOOK OF THE PROBLEM. They all have the same formula or method of solving. Good Luck!! I hope this helps.
The expression which has an equivalent sum of 11/12 is 1/12 + 5/12 + 5/12
check all options:
a. 10/22 + 2/12
The lowest common multiple of 22 and 12 is 264
= (120 + 44) / 264
= 164/264
divide through by 4
= 41 / 66
b. 5/4+3/4+3/4
The lowest common multiple 4 is 4
= (5+3+3) / 4
= 11/4
c. 1/12+5/12+5/12
The lowest common multiple of 12 is 12
= (1+5+5) / 12
= 11/12
d. 5/6+6/6
The lowest common multiple of 6 is 6
= (5+6) / 6
= 11/6
Therefore, the expression which has an equivalent sum of 11/12 is 1/12 + 5/12 + 5/12
Read more:
https://brainly.com/question/21879420
Which number is rational Can y’all please help me my time is about to run out I need this ASAP I will give brainliest
Answer-
0.4
Step-by-step explanation:
The answer is pi. It doesn't go on forever.
In a survey, 3 out of 5 people preferred rice to noodles. If 75 people were
surveyed, how many preferred rice?
Will award the brainlest
Answer:
45 people
Step-by-step explanation:
3/5 x 75 = 45, therefore, 45 people out of 75 preferred rice to noodles.
Answer:
45 prefer rice out of 75 surveyed.
Step-by-step explanation:
75 divided by 5 is 15. 15 x 3 = 45!
3/5 = 45/75
if you mix 1 cup of chocolate chips and 1 cup of raisins what is the percentage of chocolate chips
Answer:
50%
Step-by-step explanation:
50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50%. Hope this helps <3
10+11+12+13+14+15+16+17+18+18+20
Answer:
164
Step-by-step explanation:
10+11+12+13+14+15+16+17+18+18+20 = 164
Answer:
10+11+12+13+14+15+16+17+18+18+20 = 164
Step-by-step explanation:
The length of a rectangle is 3 inches. Enter an expression for the area of the rectangle if the width is w inches. Find the area of the rectangle when the width is 1, 2 , 3, and 26 inches
Answer:
An expression for the area of the rectangle if the width is w inches is
[tex]A =[/tex] 3w
when the width is 1 inch, Area = 3 square inches (in²)
when the width is 2 inches, Area = 6 square inches (in²)
when the width is 3 inches, Area = 9 square inches (in²)
when the width is 26 inches, Area = 78 square inches (in²)
Step-by-step explanation:
The area of a rectangle is given by
[tex]A = l[/tex] × [tex]w[/tex]
Where [tex]A[/tex] is the area of the rectangle
[tex]l[/tex] is the length of the rectangle
and [tex]w[/tex] is the width of the rectangle
From the question,
length, [tex]l[/tex] = 3 inches
width, [tex]w[/tex] = w inches
Hence, An expression for the area of the rectangle is
[tex]A =[/tex] 3 × w
[tex]A =[/tex] 3w
Now, to find the area of the rectangle when the width is 1, 2 , 3, and 26 inches
1. when the width is 1 inch (That is [tex]w[/tex] = 1 inch)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 1
[tex]A =[/tex] 3 square inches (in²)
2. when the width is 2 inches (That is [tex]w[/tex] = 2 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 2
[tex]A =[/tex] 6 square inches (in²)
3. when the width is 3 inches (That is [tex]w[/tex] = 3 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 3
[tex]A =[/tex] 9 square inches (in²)
4. when the width is 26 inches (That is [tex]w[/tex] = 26 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 26
[tex]A =[/tex] 78 square inches (in²)
Side length of square = 4.5 in
Perimeter of square=
Answer:
18 in
Step-by-step explanation:
(4.5)(4)=18
Side Length * Sides = 18 in
Solve for t
-1(t + 8) = -7.1
Step-by-step explanation:
15.1 I think sooo but I am not sure which grade level is that looks simple I am 8 grade by the way and I am learning cos sin tan trignometry
Riangle ABC is isoscelesGJ bisects ∠FGH and is a perpendicular bisector of FH. Triangle F G H is cut by perpendicular bisector G J. Line segments F J and J H are congruent. Angle F G J and J G H are both 30 degrees. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.
Answer:
It has exactly 3 congruent sides.
Step-by-step explanation:
Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF + ∠GFJ = 180°.
So, 30° + 90° + ∠GFJ = 180°
120° + ∠GFJ = 180°
∠GFJ = 180° - 120°
∠GFJ = 60°
Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH + ∠JHG = 180°.
So, 30° + 90° + ∠JHG = 180°
120° + ∠JHG = 180°
∠JHG = 180° - 120°
∠JHG = 60°
Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°
Since ∠FGH = ∠GFJ = ∠JHG = 60°
So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.
So exactly 3 sides are congruent in ΔFGJ.
Answer:
It has exactly 3 congruent sides
Step-by-step explanation:
took the unit test on edg 2020
The exponent on b when b^3 is multiplied by b^3is
3
6
9
[tex]b^3b^3=b^{3+3}=b^{\boxed{6}}[/tex].
Hope this helps.
In 2009, the life expectancy is about 80 years. Assume that, due to modern advances, life expectancy gains 5.5 years every decade. From 2009, in how many years would humanity achieve a life expectancy of 110 years?
Answer:
60 years
Step-by-step explanation:
2009 -> 80 years
+5.5
2019 -> 85.5 years
+5.5
2029 -> 91 years
+5.5
2039 -> 96.5 years
+5.5
2049 -> 102 years
+5.5
2059 -> 107.5 years
+5.5
2069 -> 113 years
what is 20c + 8d + 10c - 5d simplified?
Answer:
30c +3d
Step-by-step explanation:
20c + 8d + 10c - 5d
Combine like terms
20c+10c +8d - 5d
30c +3d
Answer:
30c + 3d
Step-by-step explanation:
20c + 10c = 30c
8d - 5d = 3d
= 30c + 3d