The solution is: It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
Explanation:
Here, we want to know the number of times the digit occurs
We can solve this with arithemetic progression
The first term here is 105, while the last term is 995
However, the difference between each occurrence is 10
Thus, applying the formula:
T_n = a + (n-1) d
T_n is the last term which is 995
a is the first term which is 105
d is the common difference which is 10
n is the number of terms which we want to calculate
Substituting these values, we have it that:
995 = 105 + (n-1) 10
so, we get,
n = 900/10
=90
Hence, It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .
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complete question:
How many times does the digit 5 occur in all the numbers from 100-999 ?
A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes
Answer:
$12
Step-by-step explanation:
Jane's commission is the product of sales and her rate.
commission = (20)($4.00)(0.15) = $12.00
Jane's commission is $12.00 if she sells 20 boxes of pencils.
the value of 3 1/5 - 1 2/3 is?
please write the answer with sums and explanations
anyone with the correct answer will be given 10-20 points and will be marked as Brainliest
note: it's not 31 or 12 it's seperated
QUESTION :-
The value of 3 1/5 - 1 2/3ANSWER :-
[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]Take Lcm by the denominator ( check the pic )
[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]Now subtract this
[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-[tex] \frac{23}{15} [/tex]
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Answer:[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]
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Explanation/Solution:To solve the problem, let's find the LCM or Latest Common Multiple.
[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]
[tex] \rightarrow [/tex] LCM = 5 x 3 = 15
[tex] \\ [/tex]
Since the LCM is already finished let's solve for the both numerator and denominator.
[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]
Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.
[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]
Now its time to subtract.
[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]
Therefore, the answer is 1 8/15.
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which function is equivalent to f(n)=(n+2)^2+n^2-4
When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer
Answer:
6384 is the exact answer.
6000 is the answer rounded to the nearest thousand
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
532 X 12 = 6384 rounded would be 6000 miles a yr
Rest of the options
Yep, it's C. The answer is C
select the two values of x that are roots of this equation 3x^2 + 1 = 5x
Answer:
[tex]x = \frac{5 + \sqrt{13} }{6} [/tex]
Step-by-step explanation:
[tex]3x { }^{2} + 1 = 5x[/tex]
[tex]3 {x}^{2} - 5x + 1 = 0[/tex]
Apply the quadratic formula with a=3, b=-5 and c=175 is what percent of 150
75 is what percent of 150
Explanation:Percentage Calculator:75 is what percent of 150=50
Answer:50
Answer:
75 is 50 percent of 150.
Step-by-step explanation:
This is a pretty simple concept. First of all for this question, you should have noticed that 75 is half of 150. 50% is equal to 1/2.
There are a couple of methods you could use to solve this problem, if you are using a calculator, a simple way to solve percentage problems is to do 75 divided by 150 (in this case) which gives you 0.50.
If you do not have a calculator and you have to do this on paper, you need to do the classic proportion method. Make two fractions, 75 over 150, and x over 100. (x is what is used to represent an unkown amount.)
We are using over 100 because that is what a percent represents: an amount that is a fraction of 100. now you need to cross multiply. That would be 75 x 100. That equals 7,500. Now cross multiply the other way. That is 150x or represent 150 times x. Now solve the equation 150x = 7,500. To solve this you need to isolate the variable, x by dividing the 150 multiplying the x. That is the coefficient. the attached number next to it. After you do that, you need to divided the other side of the equation by 150. 7,500 divided by 150 equals 50.
After that you will find that the equation shows the value x = 50. You have now found the value of x.
I hope this helps :)
help any body plzs i will give brianlyest
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4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
What is the formula for
this?
There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is
[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]
or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:
[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]
and
[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]
which means the sum we want is 14,950 - 1,196 = 13,754.
Central/Inscribed angles pls help with work <3
Answer:
Step-by-step explanation:
Arc angle KLM will be twice ∠KSM = 210°
Arc angle ML will be 210 - 130 = 80°
Arc angle LMS will be twice ∠LKS = 160°
Arc angle SM will be Arc angle LMS - ML = 160 - 80 = 80°
Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.
9514 1404 393
Answer:
8,500 units
Step-by-step explanation:
The contribution margin from each unit is ...
$185 -121 = $64
To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...
($416,000 +128,000)/($64/unit) = 8,500 units
A recipe asks for 4 1/2 pounds of chicken.
How many pounds of chicken are needed to make 1/2 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
Answer:
2/1/2 you need 2and 1/2 of chicken
The numbers and letters on a license plate are determined by the state that issues the license
plate. Suppose a state had a system that used 5 letters and 2 digits for a total of 7 characters on
a license plate. How many different license plates can this system produce?
297, 034, 400
594, 068, 800
1, 188, 137, 600
O 2, 376, 275, 200
Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.
This can be represented by the exponential function:
[tex]P=378(2)^\frac{t}{36}[/tex]
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let P represent the population of the bacteria after t minutes.
Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:
[tex]P=378(2)^\frac{t}{36}[/tex]
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Cumulative GPA (CGPA) of a student is defined as the sum of the product of all grades multiplied by the credits of the corresponding class, divided by the sum of all credits. For instance consider a student took three courses with 3, 3, and 4 credits. Assume that the grades of this student from these courses are 4.0, 3.7, and 3.3.
The CGPA of this student is: __________
Answer:
probably about 3.5
Step-by-step explanation:
Mrs.Thomas sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale.
Math Game: M(d)=2x^2+8x+2
Reading Game: R(d)=3x+5
Solve the system algebraically. After how many days is the revenue for each game the same? Show your work and explain your answer.
Graph this system to show the solutions. Label each axis appropriately.
Mr. Thomas would take 0.5 (half) day for the revenue for each game to be the same.
Revenue is the total amount of money made from selling a particular number of items.
The revenue for math game is:
M(d)=2x² + 8x + 2
While the revenue for Reading Game is:
R(d)=3x+5
For the revenue of each game to be the same, hence:
M(d) = R(d)
2x² + 8x + 2 = 3x + 5
2x² + 5x - 3 = 0
x = -3 or x = 0.5
Since the number of days cannot be negative, hence it would take 0.5 (half) day for the revenue for each game to be the same.
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pls help me I will try to give brainleist bc i don't know how
Answer:
2195
Step-by-step explanation:
filler filler filler lol
Answer: 2,195
Step-by-step explanation:
439x5
9x5=45
3x5+4=19
4x5+1=21
2195
Two decimal for 2597.58333
Answer:
2597. 58000 and this is the ans
If X is a factor of Y and Y is a factor of Z then X is a factor of Z. If so then how
PLS HELP HELP HELP HELP HELP HELP HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
then z is a factor of x??? huh??
geomtry plzzzz help 15 points
Answer:
True.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. this makes it possible for the triangle to be formed.
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
y−1=8/9(x−4)
y+1=8/9(x+4)
y+4=9/8(x+1)
y+1=8/7(x+4)
Answer:
y+1=8/9(x+4)
Step-by-step explanation:
Tell me if you want one!
Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current
Answer:
3 miles/hour
Step-by-step explanation:
Well, we already know that the speed at which he paddles is 6 miles/hour
Since his net speed while going down stream is his speed plus the current's speed, here's what we have:
NetSpeed = HisSpeed + CurrentSpeed
Replace the values we already know:
9 = 6 + x
X = 3 miles/hour
An equation that can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x).
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
Ricky paddles his canoe at a rate of 6 miles per hour in still water.
Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.
The trip took him 4 hours to complete.
The downstream rate = 4 + x
And the upstream rate = 4-x.
Then an equation can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x)
Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).
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I will give Brainliesttttt :D!
A car's gas mileage is the distance it can go using 1 gallon of gas (measured in miles per gallon).
Based on the graph, what is this car's gas mileage? Explain.
Answer:
20 mpg
Step-by-step explanation:
Answer:
The car is traveling 20 miles per gallon.
Step-by-step explanation:
There are two ways you can solve this.
1) Since this is a graph of the car's gas mileage, all you have to do is look to find the miles for one gallon, which is plotted in this case. As you can see, for one, it is plotted halfway between 0 and 40, so that means the mile number would be 20. Looking at this, the car travels 20 miles per gallon.
2) You can also look at the point at the top that is clearly defined, and the point is (12, 240), 12 gallons used for 240 miles. To get the exact number of miles for one mile, you would divide 12 and 240 both by 12, which results in (1, 20). Since it is miles per gallon, the car gas mileage is 20 miles per gallon.
Hope this helped and have a great day!
Help me with this answer please
Answer:
£6.25
Step-by-step explanation:
2.25 x 15 = 33.75
40 - 33.75 = 6.25
Answer:
£6.25
Step-by-step explanation:
Hii,
So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75
To get change, you need to take away the amount you are giving by how much the bill is.
£40 - £33.75 = £6.25
I hope this helped :P
The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)
The statement is true: the area under the graph line made with the x-axis
represents the change in position of the object on a velocity versus time
graph.
Reasons:
[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]
The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.
A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.
Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.
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Answer: True
Step-by-step explanation:
Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6
Answer:
1
Step-by-step explanation:
because... it is
The slope of the line whose equation is 2x + 5y + 1 = 0 is
Answer:
the slope is -2/5
Step-by-step explanation:
Solve for y.
2x + 5y + 1 = 0
5y = -2x - 1
y = -2/5 x - 1/5
Compare to
y = mx + b, where m is the slope.
m = -2/5
Answer: the slope is -2/5
f(x-1)=3x²-7x+8, find f(x)
Answer:
f(x) = 3x² -x +4
Step-by-step explanation:
Use (x+1) for x and simplify.
f((x+1) -1) = 3(x +1)² -7(x +1) +8
f(x) = 3(x² +2x +1) -7x -7 +8
f(x) = 3x² -x +4
43=8c-5 what is the value of c in this equation
Answer:
Move all terms that don't contain c to the right side and solve.
c = 6
Step-by-step explanation:
1.
All the sides of a triangle are the same length. If their lengths are 6 cm, what is the perimeter?
Answer: 6
Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.
