Answer:
245 and 55050
Step-by-step explanation:
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
In the first progression a₁ = 2 and d = 7 - 2 = 5, thus
[tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] [ (2 × 2) + (9 × 5) ] = 5 × ( 4 + 45 ) = 5 × 49 = 245
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In the second progression a₁ = 6 and d = 17 - 6 = 11, thus
[tex]S_{100}[/tex] = [tex]\frac{100}{2}[/tex] [ (2 × 6) + (99 × 11) ]
= 50(12 + 1089) = 50 × 1101 = 55050
Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5
Answer:
3/11.
Step-by-step explanation:
3/11 = 0.2727272727....
Kamal and Anand each Lent the same sum of money for 2 years at 5 percent at simple interest and compound interest respectively. Anand received RS.15 more than Kamal.Find the amount of money lent by each and interest received
Answer:
amount lent: ₹6000interest received: Kamal, ₹600; Anand, ₹615.Step-by-step explanation:
For principal P invested at simple interest rate r, the returned value in t years is ...
A = P(1 +rt)
If K is Kamal's returned value, the given numbers tell us ...
K = P(1 +0.05·2) = 1.1P
__
For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...
A = P(1 +r)^t
If A is Anand's returned value, the given numbers tell us ...
A = P(1.05)² = 1.1025P
This latter amount is RS.15 more than the former one, so we have ...
1.1025P = 1.1P +15
0.0025P = 15 . . . . . . . . subtract 1.1P
P = 6000 . . . . . . . . . . . divide by 0.0025 . . . . the amount lent
Kamal received 1.1P -P = 0.1P = 600 on the investment.
Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.
write in standard form y=-3x+4 through (0,-1)
Find the two missing numbers shown with an "*" in the equation.
5 3/* × * 1/2 = 19
^^both mixed fraction^^
A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you use that cable company?
Answer: 8 months
Step-by-step explanation:
m= number of months
45m+95=455
minus 95 over
45m=360
divide by 45
m=8
GEOMERTY QUESTIONS!!!!!!!!!
Answer: The answer to the first question is C. The answer to the second question is A.
the first one is C and the second is A
Solve step by step 3(2x-4)=8
Answer:
x = 3.33... or 10/3
Step-by-step explanation:
3(2x - 4) = 8
distribute the 3 into the parentheses
3 • 2x = 6x
3 • -4 = -12
6x - 12 = 8
add 12 to both sides
6x = 20
divide both sides by 6
x = 3.33... or 10/3
Answer: x = 10/3
Step-by-step explanation:
3(2x-4) = 8 apply the distributive property on the left side
6x - 12= 8 Add 12 to both sides
+12 +12
6x = 20 Divide both sides by 6
x= 20/6 which simplifies to 10/3
Two cars, which are 210 miles apart, drive towards
each other at constant speeds. The speed of the
second car is 20 miles per hour faster than the first car.The cars pass each other in 1 1/2 hours. What is the speed of both cars?
Answer:
slower car=60 miles/hr
faster car =80 miles/hr
Step-by-step explanation:
the speed of slower car =x
the speed of faster car=x+20
they both 210 miles apart
(x+x+20)*(1 1/2 )=210
(2x+20)(3/2)=210
3x+30=210
3x=210-30
3x=180
x=180/3 ⇒ x=60
x+20 ⇒ 60+20=80
What is 39,040,000 expressed in scientific notation
Answer:
39.04 x 10 to the power of 7
Step-by-step explanation:
probably wrong but ok :)
Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)
Answer:
The answer is
[tex](4 \: , \: - 6)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(7,−2) and (1,−10)
The midpoint is
[tex]M = ( \frac{7 + 1}{2} , \: \frac{ - 2 - 10}{2} ) \\ = ( \frac{8}{2} , \: - \frac{12}{2} )[/tex]We have the final answer as
[tex](4 \: , \: - 6)[/tex]Hope this helps you
What’s the answer ?
Answer:
24
Step-by-step explanation:
19. A concert vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats
were $28. The vendor sold $6080 in tickets. How many floor seats and stadium seats did the vendor sell?
Set up a system of equations and solve. Let f = the number of floor seats sold and S= number of stadium
seats sold.
Answer:
36F + 28S= 6080
Step-by-step explanation:
36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.
Which sentence is correct? A. B. C. D.
Answer:
what do you mean what sentence is correct give a picture
Answer:a
Step-by-step explanation:
Please help !!!!!!!!!!!!!
Answer:
with what part of the question be more specific
At the start of summer Ben has $250. He takes summer job
and saves $ 150 per week. Tim has $ 1,650 at the start of
summer, he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?
Answer:
week 4
Step-by-step explanation:
With Ben saving up $150 every week, he'll have $850 by week 4 because, $150 times 4 is $600, plus the $250 that he started with equals $850. Tim will also have $850 by week 4 because $200 times 4 equals $800. $800 minus the $1650 that he started off with equals $850.
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200
Answer:
x = 200
Step-by-step explanation:
Given
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] y = 30 ← substitute y = 15 into the equation
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] × 15 = 30 , that is
[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )
[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )
x = 200
The value of x is 200.
Here, given expression is
one-fifthx – two-thirdsy = 30,
We have to find the value of x when y = 15.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now, given expression is
⇒ one-fifthx – two-thirdsy = 30,
⇒ [tex]\frac{1}{5} x - \frac{2}{3} y = 30\\[/tex]
When y = 15
⇒ [tex]\frac{1}{5} x - \frac{2}{3} *15 = 30\\\\\frac{1}{5} x -2* 5 = 30\\\\\frac{1}{5} x = 30 + 10\\\\\frac{1}{5} x = 40\\\\x = 200[/tex]
Hence, The value of x is 200.
Learn more about the Mathematical expression visit:
https://brainly.in/question/49349844
#SPJ6
Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?
Answer:
You will earn $15.75, $13.50, or $18 depending on how you are getting paid
Step-by-step explanation:
If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75
If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.
If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total
Sofia owes her brother $25. She gives her brother the $18 she earned dog-sitting. Write an addition expression to describe this situation. Then find the sum and explain its meaning.
Answer:
She owes her brother $7.
Step-by-step explanation:
Subtract $18 made from dogsitting from the total (which is $25).
addition expression : $18 + x =$25
check : $25 - $18 = $7
$7 is what she needs to finish paying back.
Question 5 (1 point)
The mallard duck walks 9,500 ft per year. How many inches is that per day?
Answer:
LOL, change ft to inches and then divide by 365
Answer:
312.3 Inches/Day
Step-by-step explanation:
I did it on a test and also 9,500 divided by 365 (year) times 12 (12 inches in one foot)=312.3
As you can see in the photo below I chose 312.3
A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes?
Answer:
The answer would be $91.
Step-by-step explanation:
20% off of 120 is 96 and 96 - 5 is 91.
Answer:
$91
Step-by-step explanation:
To find 20% off of $120 set it up as a fraction.
We are trying to find x.
x/120 = 20/100
Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.
2400/100x
Simplify that to find how much you need to subtract from $120 when the discount is added. 2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.
Simplify :
............
Answer:
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Drew scores 90 points in 6 games. How many points per game does Drew score?
Answer:
15
Step-by-step explanation:
90 points in 6 games
90/6 = points in one game
= 15 points in one game
Answer:
15 points per game
Step-by-step explanation:
You need to divide the full amount of points (90) by the amount of games played (6) to get the amount of points per game.
90÷6=15
So 15 is the answer
A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec^2. What is the mass of the object?
======================================================
Work Shown:
F = ma
250 = m*5
250/5 = m
50 = m
m = 50
The mass of the object is 50 kg
which of the following numbers best approximates 3.076 - 307.6
A. 300
B. 3,000
C. 30
D. 30,000
Answer:
A
Step-by-step explanation:
The minus sign is not needed.
Determining a value of an expression
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
I think.
Write the following expression using a single exponent. 3-5 × 36 A. 30 B. 3-11 C. 31 D. 3-30
Answer:
3^1
Step-by-step explanation:
3^-5 * 3^6
When multiplying exponents with the same base, we can add the exponents
3^ ( -5+6)
3^1
What is the slope of the line that passes through (-5,4) and (-1,8)
Answer:
1
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 8-4)/( -1 --5)
= 4/( -1+5)
= 4/4
=1
You need the slope, so start with the slope formula.
slope = y₂ - y₁ / x₂ - x₁
Substitute (-5, 4) for (x₁, y₁) and (-1, 8) for (x₂, y₂).
So we have 8 - 4 / -1 - -5.
Simplify to find the answer.
So we have 4/4 which is 1.
Which statement is false?
A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit to revenue by writing as a fraction in the lowest terms
Answer:
[tex]\frac{5}{81}[/tex]
Step-by-step explanation:
Given:
Profit = $1500 million
Revenue = $24,300 million
Profit to Revenue = [tex]\frac{1500 million}{24,300 million}[/tex] [Since they both have same unit ($), this sign can be omitted]
Now let's reduce the ratio above to its lowest terms...
[tex]\frac{1500 million}{24,300 million}[/tex]
[First, the millions at the numerator and denominator cancel out]
[tex]\frac{1500}{24,300}[/tex]
[Next, the two zeros at the numerator and denominator cancel out]
[tex]\frac{15}{243}[/tex]
[Next, divide both the numerator and denominator by 3]
[tex]\frac{5}{81}[/tex]
Since no further division can be done, then the profit to revenue is in its lowest terms as [tex]\frac{5}{81}[/tex]
Multiply. (2x + 5) (3x2 + 5x + 1) A. 5x3 + 15x2 + 27x + 5 B. 6x3 + 15x2 + 27x + 6 C. 6x3 + 25x2 + 27x + 5 D. 6x3 + 25x2 + 23x + 5
Answer: 6x3+25x2+27x+5
Step-by-step explanation: =(2x+5)(3x2+5x+1)
=(2x)(3x2)+(2x)(5x)+(2x)(1)+(5)(3x2)+(5)(5x)+(5)(1)
=6x3+10x2+2x+15x2+25x+5