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:
2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%
Answer:
a. 0.04
b. 6.33
Step-by-step explanation:
a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04
4/100 = 0.04
b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33
633/100 = 6.33
Helllpppp me please!
Answer:
b. 0.225
Step-by-step explanation:
tan = opposite / adjacent
opposite of A is 9
adjacent of A is 40
9/40=0.225
Pls help..it is an emergency...
Thank u
Answer:
Triangle A did a reflection over the x-axis and the translated down two units to become triangle B
Step-by-step explanation:
Hope this helps. Happy Halloween
hi, can someone please answer this?
Step-by-step explanation:
[tex] \frac{7}{27} [/tex]
it helps you ☺️☺️
Thank you ☺️☺️
How do I solve |x-1|-1.4 = 6.2
Answer:
x1= -6.6 x2= 8.6
Step-by-step explanation:
Answer:
x1= -6.6, x2= 8.6
Step-by-step explanation:
|x-1|-1.4=6.2
|x-1|=6.2+1.4
|x-1|= 7.6
x-1=7.6 or x-1= -7.6
x= 8.6 and x= -6.6
Write the equation of a line that passes through the point (3, 4) and has a slope of -1
Answer:
[tex]Y = -1x + 4[/tex]
Step-by-step explanation:
Hope this helps
The value of -4 - x is positive. What must be true about x ?
i need help with this asap
Answer:
x must be less than -4Step-by-step explanation:
We need to set the equation equal to 0
-4 - x > 0
+ -4 + -4
x < - 4no fake answers please easy question You are solving systems of equations by graphing and you get the following graph shown below? What is the solution to this system? How do we know what the solution of a system is when graphing?
(4 sentences at least_
Answer:
Hi There! There are no solutions to this system.
Step-by-step explanation:
nd When graphing a set of equations, make sure that the slopes are not equivlient. If the slopes are equivlient, the lines are parallel, and parallel lines do not intersect. You can check the slope of the equations to find if they are equal. Both graphs go down by 3 each time they go over 2, making the slope -3/2. If they have the same slope, but a diffrent Y interset, they are parallel. You can also set the equations equal to each other, and when solving find that 7 does not equal 1, or
-3/2X+7=-3/2X+1
+3/2X
7=1
Because this is false, the lines will not intersect.
please help im struggling really bad on this one question.
Answer:
B
Step-by-step explanation:
90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that
Answer:
B
Is going clock wise I dont really know how to explain it
Explain how Main Sequence Stars
are different from Giant stars and
Dwarf stars?
Help me with thissss
Neptune is 2,798,842,000 miles from the sun. How many hours does it take lightto travel from the sun to Neptune?
9514 1404 393
Answer:
4.17 hours
Step-by-step explanation:
The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...
(2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h
It takes about 4.17 hours for light to travel from the sun to Neptune.
HELP ME PLS one bottle of shampoo costs 6 dollars for 8 Oz a second bottle costs 4 dollars for 5oz of shampoo wich has a lower unit rate and how much lower
Answer:
The 8 oz has lower unit rate, it's lower by .2.
Step-by-step explanation:
8 oz divided by $6 = $1.333 for 1 oz ---- (round to 1.3)
6 oz divided by $4 = $1.5 for 1 oz
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right
A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.
Answer:
Step-by-step explanation:
It drops 235 feet per move.
235 * 4 = 1140 feet below sea level.
-1140 is also possible.
What is the volume of the cylinder below
Answer:
I think d or b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which rule describes the transformation?
I think its (x,y-(-x,-y)
Janelle would like to give a party bag to every person who is coming to her party. The cost of the party bag is $7 per person. Write an inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags.
Answer: Inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags: 7P ≤ 95
Step-by-step explanation:
Given: The cost of the party bag is $7 per person.
P represents the number of people that she can invite.
Total cost for P people = ( cost per person) x (P)
=$ 7P (i)
If Janelle has No more than $95 dollars to spend on the party bags.
That means , Total cost ≤ $ 95
From (i)
7P ≤ 95 , which is the required inequality.
A local mechanic charges customers a flat fee of $60 before any work is done in the rate of 85 per hour for labor which equation represents the relationship between the total charge for labor L in dollars and the number of hours worked h?
Answer:
im not sure but here u go 85x+60
Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
Total Interest = $
What is Tarah's new total balance?
New Balance Total = $
Answer:
Total interest = $28.72
New balance = $ 387.72
Explanation: Tarah has $359 in the bank. To find the amount of interest, multiply 359 by .08.
She gets $28.72 interest annually.
In one year, she will make $387.72. (Add the total interest to her original balance)
Plz mark brainliest:)
Geometry Question: Image is provided below.
Please show all work and your steps.
25 points
Answer:
x=7
y=10
Step-by-step explanation:
8x and 11y+14 are same side interior angles so they add to 180 degrees
11y+14 and 10x+54 are vertical angles so they are equal
8x + 11y+14 = 180
11y+ 14 = 10x+54
Substitute 10x+54 for 11y+14 in the first equation
8x +10x+54 = 180
Combine like terms
18x+54 =180
Subtract 54
18x+54-54=180-54
18x =126
Divide by 18
18x/18 = 126/18
x=7
Now we can find y
11y+ 14 = 10x+54
11y + 14 = 10*7+54
11y+14 = 70+54
11y+14 =124
Subtract 14 from each side
11y = 124-14
11y =110
Divide by 11
11y/11=110/11
y =10
Write the sentence as an equation.
m divided by 341 equals 315
Answer:
m/341=315
Step-by-step explanation:
Answer:
m/341=315 because the divided symbol is / and the equals symbol is = so replace the words with the symbol.
please help, and it’s ok if you don’t understand it or get it wrong, please don’t feel guilty ^-^
Answer:
i think its 4.5
Step-by-step explanation:
help please !!!!! no explanation needed
Answer:
Its D super easyyyyyyhWhat does sin(-u) equal?
.
.
.
.
.
.
.
PLEASE HELP!!!
Answer:
-sin(u)
Step-by-step explanation:
This is a Trig identity. The best way to understand this is to start at zero degrees. +u would move counterclockwise, while -u moves clockwise. The sine function gives you how far in the y-direction you are from the x-axis. Since you're moving the same amount by going u degrees (or u radians) around the circle as you would going -u degrees (or -u radians), your distance from the x-axis is the same. But it reflects over the x-axis, so the two outcomes are inverses of each other.
The ratio of adult cats to kittens at a pet care center on was 5:2 . There were 12 kittens there that day. Thursday , 38 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on thursday and monday?
Answer:
8 adult cats
Step-by-step explanation:
The ratio of adult cats to kitten at the pet care center was 5:2
No of adult cats= 5x
No of kitten cats= 2x
Since there were 12 kittens that day
2x= 12
x= 12/2
x= 6
Number of adult cats = 5x
= 5 × 6
= 30 adult cats
Therefore since there were 38 adult cats in the pet center in Thursday then the difference between the number of adult cats in Thursday and Monday can be calculated as follows
= 38-30
= 8 adult cats
Please help i’m having a hard time answering it
I need help with this asap
Answer:
3\sqrt{3}
Step-by-step explanation:
look this up and it will give you the answer
pls mark brainliest
Answer:
The sqrt of 3 is an irrational number.
The sqrt of 9 is a rational number.
Step-by-step explanation:
Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.
Step-by-step explanation:
Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.
From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990
and 25% of $11,990 is
(25/100)* 11,990
0.25* 11,990
$2997.5
So you can make a down payment of $2997.5
and pay the remainder of $8992.5 later
The stemplot shows the number of magazines sold by students in a band. One data value was inadvertently omitted from the stemplot. A stemplot titled magazines sold has values 8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40. Which statement is true? If the missing data value was 55, the range of the data would change significantly. If the missing data value was 55, the interquartile range of the data would change significantly. If the missing data value was 22, the range of the data would change significantly. If the missing data value was 22, the interquartile range of the data would change significantly.
Answer:
If the missing data value was 55, the range of the data would change significantly
If the missing data value was 22, the interquartile range of the data would change significantly
Step-by-step explanation:
Given the data
8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34,40
The range of the data is the difference between the highest value and the lowest value of the data.
Highest value = 40
Lowest value = 8
Range = 40-8
Range = 32
If 55 was missing, we need yo find the range of the data if 55 was included.
Highest value will be 55
Lowest value = 8
Range in this case = 55-8
Range = 47
Difference in range = 47-32= 15
This means that if 55 was missing, it will significantly affect the value of the range.
- Interquartile range = Q3-Q1
Q3 is the median value of the other half of the data.
Q1 is the median value of the first half of the data.
If 55 wasn't included, the first part of the data:
8, 9, 12, 12), 13, (15, 16, 16, 16
Q1 = 13 (median value of the extracted data)
The second part of the data if 55 wasn't included:
18, 21, 22, 23), 27, (28, 32, 34, 40
Q3 = 27 (median value of the second part of the data)
IQR = Q3-Q1
IQR = 27-13
IQR = 14
If 55 was included, the data will be;
8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40,55
Q1 = N+1/4 the value
N is the sample size = 19
Q1 = 19+1/4
Q1 = 20/4
Q1 = 5th value
The 5th value in the data is 13, hence Q1 is 13
Q3 = 3(N+1)/4th value
Q3 = 3(19+1)/4
Q3 = 60/4
Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28
IQR = 28-13
IQR = 15 (if 55 was included)
Difference in IQR = 15-14 = 1
This means that if 55 was the missing data, the IQR will not change significantly.
Note that the range of the data will not change if the missing value is 22 because, the 22 is a value lower than the highest value of the dataset, hence the range will remain the same (40-8 = 32) irrespective of 22 missing or not.
For the Interquartile range
If 22 was in
Q3 = 3(N+1)/4th value
Q3 = 3(19+1)/4
Q3 = 60/4
Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28
IQR = 28-13
IQR = 15 (if 55 was included)
Difference in IQR = 15-14 = 1
This means that if 55 was the missing data, the IQR will not change significantly.
Based on the calculation, the correct options are:
- If the missing data value was 55, the range of the data would change significantly
- If the missing data value was 22, the interquartile range of the data would change significantly
Answer:
a
Step-by-step explanation:
edge 2021
Explain why the graph of the quadratic function ()=2++5 crosses the y-axis by does not cross the x-axis
Answer:
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
Step-by-step explanation: