Answer: 71, 175, 180
Step-by-step explanation:
Find the interquartile range. 127- 112 = 23 Multiply by 1.5 = 34.5
Add to the mean 114 + 34.5 = 148.5
Subtract from the mean 114 - 34.5 = 79.5
Any number greater than 148.5 or less than 79.5 is considered an outlier
Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is
Four years ago average age of A , B & C was 25 years.
Find:A's present age
Solution:Let the ages of A , B , C be A , B , C years.
Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.We know that,
Average = Sum of observations/Number of observations.
Here,
Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.
Number of observations = 3.
So, (A + B + C - 12)/3 = 25
⟹ A + B + C - 12 = 3 * 25
⟹ A + B + C = 75 + 12
⟹ A + B + C = 87 -- equation (1)
Also given that,
Average age of B & C before 5 years was 20 years.
⟹ (B - 5 + C - 5)/2 = 20
⟹ B + C - 10 = 2 * 20
⟹ B + C = 40 + 10
⟹ B + C = 50 -- equation (2)
Subtract equation (2) from equation (1).
⟹ A + B + C - (B + C) = 87 - 50
⟹ A + B + C - B - C = 37
⟹ A = 37 years
∴ A's present age is 37 years.
I hope it will help you.
Regards.
Answer:
→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]
→ 4md - 2nd = 2 * [ a + (n - 1)d ]
→ 2(2md - nd) = 2 * (a + nd - d)
→ 2md - nd - a + d = nd
→ 2md - nd - (md - 2nd) + d = nd
[ From equation (1) ]
→ 2md - nd - md + 2nd + d = nd
→ md + nd + d = nd
→ (m + n + 1)d = n * d
→ (m + n + 1) = n
Step-by-step explanation:
50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work
Answer:
13.
Step-by-step explanation:
65-52=13
I need help with this riddle rq
12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?
Which inequalities are true? Select the four correct answers
Will mark Brainiest
Answer:
see below
Step-by-step explanation:
1. 0 < √8 = true
2. √8 < 3 = true
3. √8 > √7 = true
4. √8 < 2 = false
5. √8 > 8 = false
6. 1 < √8 = true
Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,
0 < √8√8 < 3√8 > √71 < √8Hence, the inequalities that are true are 1, 2, 3 and 6.
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Which equation is NOT written in slope-intercept form?
Y= -9x
2x-5=2y+14
Y=7x+3
Y=-3
Answer:
b
Step-by-step explanation:
:)
You type 4500 words per hour. How many words do you type
per minute?
Answer:
you type 75 words per minute.
Step-by-step explanation:
since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)
See attachment for math work and answer.
There are 4 squares and 6 circles. What is the simplest ratio of squares to circles?
Answer:
2 : 3
Step-by-step explanation:
We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:
4 / 6 ⇒ the ratio here would be 4 : 6
We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:
4/2 : 6/2 ⇒ 2 : 3
2 and 3 don't share any factors other than 1, so we leave the ratio like this.
The answer is thus 2 : 3.
~ an aesthetics lover
Find the slope of the line that passes through the points (2,6 ) and ( 4 , 12)
Answer:
3
Step-by-step explanation:
(14+13n+3n^3)+(2+4n+9n^3)
Answer:
=12n3+17n+16
i hope this helps :)
A ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ft/sec. The function s(t)=−16t2+20t+3 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
Answer:
[tex]t=\frac{5}{8}s[/tex] and [tex]s(\frac{5}{8})=\frac{37}{4}ft[/tex]
Step-by-step explanation:
There are different approaches you can take to solve this problem. You can look at it from the geometric approach or the calculus approach. I will us the geometric approach.
When we analyze the given function for the height of the ball:
[tex]s(t)=-16t^2+20t+3[/tex]
we can see that we are dealing with a quadratic function. This means that the graph will be an inverted parabola, just like the one in the attached picture.
so the idea is to find the vertex of the parabola to find the highest the ball gets to be and the time it gets to be at that height.
In order to do so, we can use the vertex formula, which looks like this:
[tex]t=-\frac{b}{2a}[/tex]
this is use when you have a function with the form:
[tex]f(x)=ax^2+bx+c[/tex]
in this case:
a=-16, b=20 and c=3, so the formula then turns to:
[tex]t=-\frac{20}{2(-16)}[/tex]
which yields:
[tex]t=\frac{5}{8} s[/tex]
which is our first answer. So we can then use this to find the maximum height of the ball, just by substituting t into the original function:
[tex]s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+3[/tex]
which yields:
[tex]s(\frac{5}{8})=\frac{37}{4} ft[/tex]
which is our second answer.
Which equation represents a line that passes through the 2 points in the table
Answer:
A
Step-by-step explanation:
I took the test
(Will Give Brainliest if Correct)
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54
Answer:
y=3.54m
Step-by-step explanation:
i already answered it
if 1 mile is 5280 feet, and it is 2 miles from Ellie's house to the school, about how many feet is it from ellie's house to the school?
6) The wind blew away 35 of your muffins.
That was 5/6
of all of them! With how
many did you start?
Answer:
42 muffins
Step-by-step explanation:
In order to find the answer, you would divide 35 by 5/6 which would equal 42. So you started with 42 muffins.
Hope this helps and pls do mark me brainliest if you can:)
From 80 pencils to 152 pencils
Answer:
72
Step-by-step explanation:
152
- 80
72
Bring down the 2. Then make the 5 a 15 from taking away from the 1 making that a zero. Then Subtract 8 from 15 that makes 7. So it is 72.
:) I Hope you enjoy:)The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.
Answer:
[tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =3.25[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$ 1[/tex]
[tex]Additional = 25cents[/tex] of child's age
Solving (1):
Determine the cost function.
Represent the years as y.
So, we have:
[tex]Additional = 25cents[/tex] * y
Convert 25 cents to dollars.
[tex]25 cents = 25 * \$0.01[/tex]
[tex]25 cents = \$0.25[/tex]
So, we have:
[tex]Additional = \$0.25 * y[/tex]
The cost amount is then:
[tex]Cost = Base\ Amount + Additional[/tex]
[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function
Solving (b): Cost of 9 years old.
In this case;
[tex]y = 9[/tex]
Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =1 + 0.25 * 9[/tex]
[tex]Cost =1 + 2.25[/tex]
[tex]Cost =3.25[/tex] --- This is the cost for a child of 9
Answer:
1+0.25y, 2.25
Step-by-step explanation:
You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y
then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.
hope this helps someone, keera
What is the slope of the line through (2. 8) and (4, 1)?
Answer:
m = -7/2
Step-by-step explanation:
the floor of a room is in the shape of a square of side 4.8m. the floor is to be covered with square tiles of perimeter 1.2m. Find the cost of covering the floor if each tile costs rupees 27
Answer:
the room square side is 4.8m
Area of the room is= 4.8=²23.04²m
perimeter of square tiles=4a =1.2
a=1.2/4
or a=o.3m
area of the square tiles =0.3²=0.09m²
numbers of the tiles are rcover floor of the room
23.0.4/0.09=256
each tiles cost Rs 27
the total cost=256*27=6912
the th coalst cover by the th floor is Rs .6912
8. A department store purchases a coat for $95 To sell the coat to customers, the price is increased by 27°. What is the new price of the coat? [A] $25.65 [B] $69.35 (C) $161 35 - [D] $12065
Answer:D
Step-by-step explanation:
$120.65 is the new price of the coat.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
A department store purchases a coat for $95
To sell the coat to customers, the price is increased by 27%
So, the new price of the coat = $95+ $95*27%
=$120.65
Hence, $120.65 is the new price of the coat.
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Find the area of the whole triangle . Show all work.
Answer:
44 i believe
Step-by-step explanation:
What does the graph look like for y=2x-3
Answer:
It will have a y-intercept of -3 and a rise of 2 and a run of 1.
Step-by-step explanation:
We can use a graphing calculator to help us graph for y = 2x - 3.
Attached below is the graph.
A ticket to see your favorite baseball team costs $30.08. That price decreases by $0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 games?
Given :
A ticket to see your favorite baseball team costs $30.08.
That price decreases by $0.42 for every game lost during the regular season.
To Find :
What equation could you use to find the cost C of a ticket after L losses.
Solution :
Let, n is number of match loses and P is the price of ticket.
So, equation is given by :
P = 30.08 - (0.42)n .......1)
Putting n = 27 in above equation,we get :
P = 30.08 - ( 0.42 )( 27 )
P = $18.74
Therefore, the price of a ticket after the team loses 27 games is $18.74 .
Hence, this is the required solution.
What’s is the answer to 9^11 divided by 9
Answer: 3,486,784,401
Step-by-step explanation:
9 raised to the 11th power is 31,381,059,609
Then divide that by 9 to get 3,486,784,401
y = -5x– 1
y = -5x + 7
Answer:
see below
Step-by-step explanation:
y = -5x– 1
y = -5x + 7
Since they are both equal to y, we can set them equal to each other
-5x-1 = -5x+7
Add 5x to each side
-5x-1+5x= -5x+7+5x
-1 = 7
This is not true so there is no solution
The lines are parallel with different y intercepts
evaluate the expression when a=32 and b=7 a/4 +b
What is the slope of the line that passes through points (-4, 5) and (3, -2)?
Answer:
-1
Step-by-step explanation:
Complete y2 - y1 over x2 - x1 with your given points:
-2 - 5 = -7
_____ ____
3 - (-4) = 7
= ⁻⁷⁄₇ = -1 Simplify to lowest term
Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make a
down payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in good
condition. She will finance the rest of the cost by making monthly payments over five years. She can finance the cost
at a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee,
and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below,
approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, and
consider the trade-in to be a reduction in the amount paid.)
OPEN TOP TO SEE ANSWER!!!!
Answer:
B). $38,821
Step-by-step explanation:
By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is
$38,821
on e2020
The total amount that Valerie will pay for her new car is $35,899.87.
Online Finance CalculatorWe can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:
Data and Calculations:Auto Price = $32,495
Loan Term = 60 months (12 x 5)
Interest Rate = 8.64%
Down Payment = $1,877
Trade-in Value = $28,433 ($32,495 x 87.5%)
Sales Tax = 8.23%
Title, Registration and Other Fees = $2,557 ($2,243 + $314)
Calculate
Monthly Pay: = $44.98
Total Loan Amount = $2,185.00
Sale Tax = $334.30
Upfront Payment = $4,768.30
Total of 60 Loan Payments = $2,698.57
Total Loan Interest = $513.57
Total Cost (price, interest, tax, fees) = $35,899.87
Thus, the total amount that Valerie will pay for her new car is $35,899.87.
Learn more about financing a car purchase at https://brainly.com/question/20566521