Answers
Answer:
39
Step-by-step explanation:
I assume the father's age is a 2-digit number. He is not 9 years old or younger, and he is not 100 years old or older.
The sum of the digits of a two-digit number goes up by 1 from one number to the next unless the number ends in 9.
For example, from 17 to 18, the sum of the digits goes from 8 to 9.
If the number ends in 9, for example, 29, the digits add to 11. Then the next number is 30, and now the sum of the digits is 3, which is less than 11.
The father's age now is a number whose sum of digits is not only greater than the sum of the digits next year, but it is 3 times greater.
Let's look at 2-digit number and the next number and the sum of their digits.
19, 20; sums: 10, 2; 10/2 = 5, not 3
29, 30; sums: 11, 3; 11/3 ≠ 3
39, 40; sums: 12, 4; 12/4 = 3
Answer: The father is 39 years old.
Answer: 39 years
Step-by-step explanation:
The father says that adding both of the digits in his age will be 3 times greater than adding both digits one year later. Before we even start answering the problem, this tells us that the father's age has 2 digits in it.
Let's represent the 10's digit with x, and the 1's digit with y. If the father's age was 45, for example, x would be 4 and y would be 5.
Let's first make an equation to represent this situation:
The sum of the digits of the father's age would be represented by x + y, as x and y are the 10's digit and 1's digit respectively.
The father's age next year would be one greater than the current year, which makes y become y + 1. Then, the sum of the digits would be x + y + 1.
Now, we must make the first equation 3 times larger than the second and solve for the sum.
[tex]x + y = 3(x+y+1)\\ x+y=3(x+y)+3\\ 1(x+y)-3(x+y)=3\\ -2(x+y)=3\\ x+y=\frac{3}{-2}=-\frac{3}{2}[/tex]
However, we can neither have a fraction or a negative as a sum of two digits in an age, as digits are always positive integers from 0 to 9.
This flaw came from the assumption that after 1 year, the sum of the digits will be x + y + 1. This isn't always true, as any number with its 1's digit of 9 turns into 0 the next year, and not 10. Instead, the x value increases by 1.
For example, someone the age 69 becomes 70 the next year, x increases by 1 and y becomes 0.
Let's make a new equation to try and see this.
We know that his current age has to have y = 9 for his new age to be y = 0. Therefore, the current sum of digits is x + 9.
The next year, we know that the 10's place will increase by 1 and the 1's place becomes 0. Therefore the sum of digits is x + 1 + 0, or x + 1.
Since the current sum of digits is 3 times greater than the sum next year, let's multiply the second equation by 3 to get equality. We just need to calculate the 10's digit, as the 1's digit is already 9.
[tex]x+9 = 3(x+1)\\ x+9=3x+3\\ 9=2x+3\\ 6=2x\\ x=3[/tex]
Since the 10's digit (or x) is 3 and the 1's digit (or y) is 9, the father's age is 39, and he will turn 40 next year.
Related Questions
what is 40% of 10? PLZ HELP ASAP
Answers
Answer:
4
Step-by-step explanation:
10 * 40%
10 * 0.4 = 4
Answer:
Hi! 40% of 10=4
Step-by-step explanation:
Hope this helps! :)
Have a nice day! ♥
A square cake sits on a circular cake stand. The circular cake stand has a diameter of 24 inches. The cake measures 16 inches on each side. How many square inches of the cake stand are visible?
Answers
Answer:
196.12 in^2
Step-by-step explanation:
circular cake stand area=(24/2)^2(3.14)=452.12 in^2
square cake=16x16=256 in^2
452.12-256=196.12 in^2
Plzzzzz help!
What is the perimeter of the composite figure?
Answers
Answer:
107.5 cm
Step-by-step explanation:
find the length of the missing side of triangle which is 22.5 rounded then add all the sides together
Find the missing angle measurement in the triangle.
Answers
Answer:
the answer is C
Step-by-step explanation:
the right angle is = 90
the other angle= 55
so you add them together which makes 145
so subtract 180 which is = to a triangle subtract 180-145=35
Answer: C.)
Step-by-step explanation:
Triangle angles add up to 180 degrees.
The box is a right angle which equals 90 degrees.
55 degrees + 90 degrees = 145 degrees, but we need the sum to be 180, so we subtract 145 from 180 and you should get the answer of "35".
Is 299 in the sequence of 2 5 8 11 14 with 3n-1 as the term
Answers
Answer:
yes
Step-by-step explanation:
Equate
3n - 1 = 299 ( add 1 to both sides )
3n = 300 ( divide both sides by 3 )
n = 100
Then 299 is the 100 th term of the sequence
What is the slope of the line that passes through these two points (15,20) and (20,25)
Answers
Answer:
The slope Is 1.
Step-by-step explanation:
If you graph the two points it shows that the graph is done.
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (15, 20) and (x₂, y₂ ) = (20, 25)
m = [tex]\frac{25-20}{20-15}[/tex] = [tex]\frac{5}{5}[/tex] = 1
y=3x+−7
Find the slope.
A. 7
B. -7
C. 3x
D. 3
Answers
Answer:
D.3
Step-by-step explanation:
In the equation for a line in the form y=mx+c, m represents the slope.
Therefore the slope is 3.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + - 7 ← is in slope- intercept form
with slope m = 3
Solve the inequality.
Answers
Step-by-step explanation:
subtract the value by placing it in the right side and multiply with 4.
Interval notation:
(−∞ , 63.2]
The six sided of number cube are labeled 1,2,3,4,5 and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on heads and roll a number greater than 2?
Answers
heads = 1/2
>2 = 2/3
2/3 x 1/2 = 1/3
Answer:
1 / 3Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 10a+35b=0; 21a−35b=217 31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2 what are each of the steps taken?
Answers
9514 1404 393
Explanation:
2a+7b=0 . . . . . . . . given [eq1]
3a−5b=31 . . . . . . . .given [eq2]
10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]
21a−35b=217 . . . . .multiplication property of equality 7×[eq2] = [eq4]
31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]
a = 7 . . . . . . . . . . . . division property of equality (÷31)
2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]
14 + 7b = 0 . . . . . . . properties of real numbers
7b=−14 . . . . . . . . . . addition property of equality; add -14
b=−2 . . . . . . . . . . . . division property of equality (÷7)
The track team sold 40 t-shirts. Short sleeve t-shirts sold for $9.90 and long sleeve
t-shirts sold for $12.75. In all, $421.65 was taken in.
How many short sleeve t-shirts were sold?
Answers
Answer:
The track team sold 31 short sleeved t-shirts.
Step-by-step explanation:
If there were 40 t-shirts sold, then you'd have to find how many short sleeved and long sleeved t-shirts were sold to get the amount of money made. Basically, all I did was start with 20:20. I multiplied the cost of each type of shirt by 20, however, the money from selling long sleeved t-shirts is a lot more than the actually amount. So then, I went to 30:10 with short sleeved and then long sleeved. The amount (when added together) was pretty close to the actual amount but it was still a tiny bit higher than the actual. So, I did 31:9 and the amount came out right.
Once again, I’m wasting points to dazzle you all with my hand drawn cardboard cutouts of hanako and tsukasa. If you don’t know who they are then just admire the art and pretend I’m picasso. Bring up the mistakes and I’ll laugh along and criticize my art with you
Answers
Answer:
Cool art
Step-by-step explanation:
Answer:
sick bro, that's cool.
Step-by-step explanation:
do you read the manga, if you do then, broo the lastest chapter was
nice
Do the following lengths form a right triangle?
Answers
Answer:
2 3 4 do, 1 does not
Step-by-step explanation:
Using the Pythagorean Theorem, we can see that the square of the 2 smaller sides, when added together, is equal to the square of the longer side of each of the example triangles.
Which of the following shows the greatest percent increase?
A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000
Answers
i think this is right hope this helps :)
find the value of 3 under root 54/250
Answers
Answer:
Evaluate cube root of 250- cube root of 54
3√250−3√54
Simplify each term.
53√2−33√2
Subtract 33√2 from 53√2-
2^3√2
The result can be shown in multiple forms.
Exact Form:
23√2
Decimal Form:
2.51984209....
Step-by-step explanation:
Hope it is helpful.....
The value of 3 under root 54/250 is 3 / 5.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
The given fraction is,
54 / 250.
To find the value of 3 under root 54 /250,
Find cube root of 54 /250.
∛(54 / 250)
= ∛(27 / 125)
= ∛27 / ∛125
= 3 / 5
The value of cube root of 54 /250 is 3/5.
To know more about Fraction on:
https://brainly.com/question/10708469
#SPJ2
To choose the 8 songs, the director writes the name of each of the 12 songs on a slip of paper, puts them in a hat, and draws 8 slips. What is the probability that the set s/he chooses contains two of the four songs that have soprano solos?
Answers
Answer:
0.339
Step-by-step explanation:
Given that :
Total number of songs = 12
Number of songs to choose = 8
Total number of draws = 8
Selecting 2 of the 4 songs with syprano solos : 4C2
The 6 remaining songs from. The rest:
12-4C8-2 = 8C6
Total possible selections = 12C8
Hence,
probability that the set s/he chooses contains two of the four songs that have soprano solos will be :
(4C2 * 8C6) / 12C8
(6 * 28) / 495
168 / 495
= 0.339
A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the pathway
Answers
Answer:
97.5 m^2
Step-by-step explanation:
Given data
Length = 65m
Width= 30m
We are told that the width of the path= 1.5m
Hence the area of the path is
=65*1.5
=97.5 m^2
PLZ help me i need the answer asap 7th grade math
Answers
Answer:
43.98
Step-by-step explanation:
2(pi)(7)=43.98
2(pi)(r)
There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?
Answers
Answer:
262,144
Step-by-step explanation:
2^0 = 1
(2^6)^3 = 2^18 = 262,144
Answer: 262,144.
Step-by-step explanation: (26)3(20)
=(643)(20)
=262144(20)
=(262144)(1)
=262144
What is a equivalent expression to this expression?c(4a+b)
Answers
Answer:
The answer is 4ac+bc u have to multiply
Can someone solve this for me?
2x + 7y = 4
( u have to put it in y = mx + b)
* but when i divide i get y = -2/7x + 4/7
is the 4/7 correct?
like r u allowed to have two fractions?
Answers
Answer:
I think that is correct because I got the same answer
what is 64 ÷8 x 1/2 Please and Thank you
Answers
Answer:
4
Step-by-step explanation:
64/8 x 0.5 = 8 x 0.5 = 4
can you please help me
Answers
Answer:
b !! (0.5, 0.5)
Step-by-step explanation:
if you used the formula to find midpoint 9i included a picture, you would get the fractions (1/2, 1/2) !! that as a decimal is 0.5 !! so the answer is b !! i really hope this helps !!
pls help asap i will give branilest
Answers
15.010495
The caluclator can comfirm
Coty painted a right triangle on paper. The hypotenuse of his triangle is 18 inches and one of the legs is 7 inches. What is the length of third side?
Answers
Answer:
G) 16.6
Step-by-step explanation:
We can use the pythagoriam theroem to solve the problem
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]a^{2} + 7^{2} = 18^{2}[/tex]
[tex]a^{2}[/tex] + 49 = 324
[tex]a^{2}[/tex] = 275
a = 16.6
A recipe needs 1/4 tablespoons salt. the same recipe is made 5 times how much salt is used?
BTW IM IN 8TH GRADE BUT THE SCHOOL HAS NUN 4 US TO DO SO NOW THERE MAKING US LEARN THE SAME STUFF AGAIN AND I DONT REMEBER SO YA
Answers
Answer: 1 and one fourths because 1/4 times 5 is 1 1/4
Step-by-step explanation:
Answer:
1 1/4 tablespoons
Step-by-step explanation:
1/4 x 5=1 1/4 tablespoons
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Answers
Step-by-step explanation:
Let x be the size of 1 of the 2 congruent angles.
The size of the other congruent angle is also x.
Since sum of angles in a triangle = 180°,
Measure of 3rd angle in the triangle
= 180° - 1st angle - 2nd angle
= (180 - 2x)°.
Answer:
The Isosceles Triangle Theorem, All interior angles of a triangle add up to 180 degrees. Basically the equation would be (angle 1) + (angle 2) + (angle 3) = 180. whichever angle you dont have you replace with x and solve for it. For example if you had a triangle with two congruent angles of 36 then it would be 36+36+x=180 and you would solve it like any other equation eventually showing you that x = 108. it also works backwards if you are trying to solve for the 2 missing congruent angles.
Step-by-step explanation:
What is the value of x2 + 3.4y when x = 4 and y = 2?
Answers
Answer:
14.8
Step-by-step explanation:
4(2)+3.4(2)
8+6.8
14.8
When someone throws a ball, the action force is the person pushing on the ball. What is the reaction force?
Give a real answer and explain.
Answers
Answer:
Should be : The Ball Pushing On The Person
Step-by-step explanation:
while the Air resistance answers have a point this question is asking about the reaction and the only reaction answer is the ball pushing on the person. every action has a reaction,
The ball wants to stay still so it pushes back on the person with all it's force, but the person pushes the ball with more force then the ball has so the ball rolls.
(may have explained it to much or weirdly sorry)
there is a line whose y-intercept is 10 and whose slope is -1/2. what is its equation in slope-intercept form? y= x +
Answers
This is simple