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1.2073 PUQ.No. 14 बाबु र छोराको अहिलेको उमेरको योगफल
60 वर्ष छ। यदि दुबै जना जीवित रहेको समयमा अहिलेको
बाबुको उमेर बराबर छोराको उमेर हुँदा दुबै जनाको उमेरको
योगफल 120 वर्ष हुन्छ भने तिनीहरूको अहिलेको उमेर पत्ता
लगाउनुहोस् । (The sum of the present ages of a father
and his son is 60 years. If they both live until the son
becomes as old as the father is now, the sum of their
ages will be 120 years, then find their present ages.)
Answer:
Present age
Son: 15
Father: 45
Step-by-step explanation:
Remark
Thank you for the translation. Without it, the problem would be impossible -- at least for me.
Givens
Let the present age of the father = x
Let the present age of the son = y
Solution
x + y = 60
How many years will pass? You could say it's z.
x + z = y When z years pass, the son will be his father's present age.
x + z + y + z = 120 when z is added to both their current ages, the result is 120 Collect like terms
x + y + 2z = 120
x + y = 60 Subtract The very first equation
2z = 60 Divide by 2
z = 60/2 30 years have passed.
z = 30
x + z = y
x + 30 = y Substitute x + 30 for the present y value (the father).
x + x + 30 = 60
2x = 30
x = 15
x + y = 60
15 + y = 60
y = 60 - 15
y = 45
So the son's age right now is 15
The father's age right now is 45
NEED HELP WITH GEOMETRY
Answer:
1. 37
2. 50
3. 50
4. 40
Step-by-step explanation:
hope I helped!!
Find the Coordinates of the midpoint MN with endpoints M (-2, 6) and N (8,0)
Midpoint formula:
[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]
So,
(-2 + 8 / 2 , 6 + 0 / 2)
(6 / 2 , 6 / 2)
(3, 3)
Midpoint coordinate: (3, 3)
Which of the following is NOT an inverse operation?
1.) Square Root and Squaring
2.) Addition and Multiplication
3.) Subtraction and Addition
4.) Multiplication and Division
Divide.
25 ) 7253
A. 190 r3
B. 190
C. 193
O D. 290 r3
I’m really confused.
Answer:
d
Step-by-step explanation:
when using a calc. it comes out to 290.18, convert that to a remainder to get d; 290r3
please mark brainliest, need it for a new rank t y s m in advance
We all hate to bring change to a store. By using random numbers, we can eliminate the need for change and give the store and the customer a fair deal. Suppose you buy something for 20 cents. If the store generated a random number using the cash register (call the random number R), what rule could they use to decide whether you should pay $1 or $0 for the item
Answer:
Round off to closest value.
Step-by-step explanation:
In order to remove the requirement for change, every time the client buys a product for $0.20 the random number that lies between 0 and 1 would be produced also the same would be rounded to the closest value i.e. 0 or 1. In the case when 0 arise so the customer would not have to pay any amount but if 1 arise so the customer have to pay $1. So this type of method would remove the requirement for a minor change
Which graph shows the point R(0, 4)?
Answer:
Graph D
Step-by-step explanation:
Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.
The graph D shows the point R(0, 4).
Given are four graphs we need to determine which graph shows the point R(0, 4),
A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.
The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.
Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.
Hence the graph D shows the point R(0, 4).
Learn more about graphs click;
https://brainly.com/question/17267403
#SPJ6
Predict whether the product is greater than, less than, or equal to 2/3
Answer:
Greater than.
1 1/27 or 28/27.
Step-by-step explanation:
You're multiplying more than 2/3, so it is greater than.
2/3 x 1 5/9 is the same as 2/3 x 14/9. The answer to this is 28/27. Simplify to a mixed number which is 1 1/27.
Hope it helps!
Answer:
2/3 is less than and the answer is 28/27 = 1 1/27 = 2/3 x 1 5/9
Step-by-step explanation:
2/3 x 1 5/9 = 28/27 = 2/3 x 14/9 = 1 1/27
2/3 ≤ 28/27 = 1 5/9
An account worth $6,000 is earning 7% simple interest annually. How
much is the loan worth after 20 years?
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.
How much more will she be earning per hour at her new job?
PLEASE SHOW YOUR WORK!!
Answer:
Greta will be earning 3.6/h more at her new job.
Step-by-step explanation:
To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.
To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.
Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.
I was challenged to write this in a single equation:
[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]
=$3.6/h
/ means a fraction bar
\ means division
Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.
Bowler world charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 dollars for shoes and $1.50 per game
Answer:
6.10 for 1 and 4.50 . for 2
Step-by-step explanation:
9/5 -(-6/10) please helppppppppppppppp0pppppp
Answer:
[tex]\frac{12}{5}[/tex]
On the number line below, P represents a number. What is the value of the opposite of that number?
A number line from negative 4 to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the third tick mark to the right of 0.
A negative 3 over 4
B negative 1 over 4
C 3 over 4
D 1 and 2 over 4 please help i am not good at this
Answer:
The value of the opposite number are B negative 1 over 4
Jordan invests £2100 into his bank account.
He receives 5.1% per year simple interest.
How much will Jordan have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
£4414.20
Step-by-step explanation:
Find out how much is 1% of the money invested in his bank account.
100% = 2100
1% = 2100 ÷ 100 = 21
Find out 5.1% which is his interest that he receives every year.
5.1% = 21 x 5.1 = 107.1
Find out how much he receives including interest every year.
2100 + 107.1 = 2207.1
Find out how much he will have after 2 years.
2207.1 x 2 = 4414.2
You do not need to estimate as there isn't an estimated for nearest penny as it has been estimated for you.
can you please help me with this?
A) 29
B) 15
C) 45
D) 8
Answer:
A) 29
Step-by-step explanation:
Step 1: Find angle G
Since Sin(θ) = Opposite over Hypotenuse:
[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ
θ = 33.896°
Now repeat for just the smaller triangle:
[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]
HELP PLEASE !!
Ivanna is riding on a bike course that is 15 miles long. So far, she has ridden 6 miles of the course. What percentage of the course has Ivanna ridden so far?
Answer:
50%
Step-by-step explanation:
helppppp plzzzzzzzzz !
Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2
If you can help please do it’s urgent
Answer:
-108
Step-by-step explanation:
PEMDAS
Multiply 2 x -3 = -6
-6 to the 3 power (-6 x -6 x -6) is -108
Use the polling tool to respond to the question below.
Gina typed 2,700 words. She types 45 words per minute. How long did she type for?
HELP PLZZ
Answer:
She typed for 60 minutes (1 hour).
Step-by-step explanation:
Do 2,700 divided by 45 to get your answer.
2,700 ÷ 45 = 60
She typed for 60 minutes (1 hour).
To multiply 4 x 5 3/8, the mixed number can be broken down into a whole number and a fraction. In this case, that whole number would be ____ and the fraction would be ___ eighths. Each of these parts are then ___ ___. Pls tell me the answer pls!
Answer:
Step-by-step explanation:
To multiply 4×5⅜, the mixed number can be broken down into a whole number and a fraction. In this case, that whole number would be 5 and the fraction would be three-eighths. Each of these parts are then multiplied by 4 and the products are added together.
4×5⅜ = 4×(5+⅜)
= 4×5 + 4×⅜
= 20 + 3/2
= 20 + 1½
= 21½
PLS HELP IF YOU ANSWER I WILL GIVE YOU BRAINLIEST ANSWER
Answer:
4.5
Step-by-step explanation:
show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0
Answer:
[tex]Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved[/tex]
Alex bought a football jersey that cost $95 and a football for $25. The local sales
tax is 8%. What was the total cost including tax?
Answer:
129.6$
Step-by-step explanation:
25+95=120
8% of 120 = 9.6
120+9.6= 129.6
Answer:
129.60
total w/o tax- 120
tax- 9.60.
Help
Don’t use for points or will take it back
Answer:
35
Step-by-step explanation:
180-145=35
The total of 3 angles is 180 degrees
Answer:
x=35°
Step-by-step explanation:
45°+100°+x=180°{sum of angle of triangle}
145+x=180
x=180-145
x=35°
hope it helps.
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = [tex]\frac{k}{2/3}[/tex] (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
Is this Imaginary x2 - x + 1 = 0
Answer:x= -1/2
Step-by-step explanation:
8) x - 5y = -15
x - 2y = -12
Answer:
If solving for X. (didn't know if you were solving for X or Y.
x=2y-12
x=5y-15
Step-by-step explanation:
x-2y=-12
+2y on both sides
x=2y-12
x-5y=-15
+5y on both sides
x=5y-15
Answer:
x = -10
y = 1
Step-by-step explanation:
x - 5y = -15
x - 2y = -12
__________--
-3y = -3
y = -3/-3
y = 1
x - 2y = -12
x - 2(1) = -12
x - 2 = -12
x = -12 + 2
x = -10
Help please !!!! ASAP
Over time, Bailey has buried 6 large bones and 9 small bones in a hole. What is the ratio of small bones to large bones in the hole?
Answer:
3:2
Step-by-step explanation:
to write a ratio, we can do ?:? in order. for example, 5 big shops to 10 small shops would be 5:10 (we are going to simplify it later) You always have to put the ratio numbers in order like they are in the question. In this case, small bones : big bones. We get 9:6. We can then divide both sides by a common factor, in this case 3. The end result is 3:2. Hope this helps!
