The sum of the digits of a positive 2-digit number is 12. The units digit is 3 times the tens digit. Find the number
Answers
Answer:
44
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:
x + y = 12
x - y^2 = 0
Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.
x + y = 12
-x + y^2 = 0
By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.
y = (-B +/- sqrt(B^2–4AC))/2A
This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.
Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.
As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.
Related Questions
Can somebody plz help answer both the word problem question and number 24. (I can’t find the right answers) :(
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answers
Answer:
23:600
24
a12
b27
c36
d45
Step-by-step explanation:
23.
5/9 = ?/1080
1080/9 = 120. 120 × 5 = 600
So there are 600 students who voted for the winning candidate in the school.
24.
Length : width
4 : 3 (we need to cross multiply and solve the equation in order to find the answer to these)
x : 16 <- 16 × 4 = 64. 3 × x = 3x. 64 = 3x. 64/3 = 21 1/3. 21.3:16
x : 26 <- 26 × 4 = 104. 3 × x = 3x. 104 = 3x. 104/3 = 34 2/3. 34.6:26
x : 48 <- 48 × 4 = 192. 3 × x = 3x. 192 = 3x. 192/3 = 64. 64:48
x : 60 <- 60 × 4 = 240. 3 × x = 3x. 240 = 3x. 240/3 = 80. 80:60
Which of the following lines is perpendicular to y=1/4x-3?
•
A. y = 4x
B. 4x - y = -2
C. y = -4x + 6
D. 8x - 2y = 3
E. y = 4x + 9
•
(I think it’s either C, or D, please help I don’t understand)
Answers
Answer:
The answer is
[tex]y = - 4x + 6[/tex]
Step-by-step explanation:
Negative reciprocal for the slope.
The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.
What is the equation of a perpendicular line?Let the equation of the line be y = mx + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx + c is given as y = -(1/m) + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y = (1/4)x - 3
The slope of the line is 1/4. Then the slope of the perpendicular line will be - 4. Then the equation of the line is given as,
y = -4x + d
The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
#SPJ5
Which table shows a constant rate of change 3.25
Answers
Answer:
the third one
Step-by-step explanation:
i need help with part a and b. sorry its kind of hard to read
Answers
Answer:
A) 4900
B) How far above she is before she starts hiking/the distance she is from the canyon floor.
Step-by-step explanation:
Since it's linear, it will follow the formula y=mx+c.
We can sub in the values to get:
3500=m(1)+c → 3500-m=c
2100=m(2)+c → 2100 = 2m+c
Sub '3500-m' in for c:
2100=2m+3500-m
m= -1400
c=3500-m=3500-(-1400)=3500+1400=4900
∴equation is: y= -1400x+4900
To find the initial value, ie when the number of hours = 0, we sub in zero for x:
y = -1400(0) + 4900
PART A ANS: 4900
PART B ANS: Since the number of hours passed is zero, the value represents how far above she is before she starts hiking/the distance she is from the canyon floor.
Use the graph above to determine which of the following ordered pairs is in quadrant II.
( (-5-2)
(3.2)
(4.-1)
(-4, 6)
hellppp!!
Answers
Pleas help it’s due tomrrow
Answers
Answer:
Step-by-step explanation:
K is located at -25
L is located at -15
just move 5 units away from J on both sides
hope this helps <3
-20 > -2x + 4 inequality
Answers
Step-by-step explanation:
-20 > -2x + 4
2x > 4 + 20
2x > 24
x > 12
or
x ∈ 《12 , + ∞》
-20 > -2x + 4
-20 -4 > -2x
-24 > -2x
-24/-2 < x <inequality changes when you divide by a -ve no. >
12 < x
Which point is at 44.197 on the number line?
Answers
Answer:
C
Step-by-step explanation:
because C
Which is an example of a statistical question?
|
|How old am 1?
How old is the teacher?
How old will I be after my next birthday?
How old are the students ín math class?
Answers
Answer: how old are the students in the math class
Why: because their ages vary and can be used as data
Answer:
Question 4 is a statistical question aka answer D
Step-by-step explanation:
Correct on edge
Sara says, "If you subtract 15 from my number and multiply the difference by -7, the result is -133. What is sara's number
Answers
Answer:
39
Step-by-step explanation:
-133/-7=19+15=39
check:39-15=19
19x(-7)=-133
Which value from the set {0,1,17,72} makes the equation n + 8 = 9 true?
Answers
answer: 1
step-by-step explanation: n + 8 = 9
therefore 9-8 = 1
The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a linear function in terms of n:
n + 8 = 9
Subtract 8 both side:
n + 8 – 8 = 9 – 8
n = 1
From the set, we can see the element 1 is the solution to the given equation.
Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
What is the length for this question?
Answers
Answer:
I believe it would be 3.5
Step-by-step explanation:
2 is half of 4, the measurement for that same side on the connected triangle, by that logic, x would be half of 7.
7 ÷ 2 = 3.5
Answer:
i think it is 9
Step-by-step explanation:
.
The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.
Answers
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz
Answers
Answer:
9:00
Step-by-step explanation:
9. Which company pays the most per pizza?
Papa Ron's made their offer in the form of this graph.
w
Bombinoes' Pizza is offering $56 per shift and $250
in commission for each pizza delivered.
Little Squeezer's showed Tony a table of salaries.
10
Pizzas 0
Salary | 48
2
54
4
60
78
1
Pizza Tent has given Tony his pay options in the
following function. Srepresents Tony's salary, and p
represents the number of pizzas he delivers.
S = 2.75p +52
A. Bombinoes' Pizza
B. Little Squeezer's
C. Pizza Tent
D. Papa Ron's
Answers
the correct answer is option a. bombinos pizza
A rainwater was 2/3 full of water. After 60 liters of water were used from the barrel, it was 5/12 full. How much water does the barrel hold when full?
Answers
Answer: 240 liters
=======================================================
Work Shown:
x = capacity of barrel in liters
This value of x is some positive real number. It represents the most amount of water the barrel can hold.
The problem states that the barrel is 2/3 full to start with. This means, we start off with (2/3)x liters of water. Then we subtract off 60 of them to get to 5/12 full, meaning we have (5/12)x liters left.
We can form this equation
(2/3)x - 60 = (5/12)x
Multiply both sides by 12 to clear out the fractions
(2/3)x - 60 = (5/12)x
12*( (2/3)x - 60 ) = 12*(5/12)x
12*(2/3)x - 12*60 = 12*(5/12)x
8x - 720 = 5x
From here we solve for x
8x - 5x = 720
3x = 720
x = 720/3
x = 240
The barrel's full capacity is 240 liters
--------------------------
Check:
2/3 of 240 = (2/3)*240 = 160
The barrel starts off with 160 liters of water inside.
We then use 60 of them to be left with 160-60 = 100 liters
Note how 100/240 = (5*20)/(12*20) = 5/12, showing that 100 liters out of 240 total reduces to the fraction 5/12. In other words, when we say "5/12 full" we mean 100 liters full. This helps confirm we have the right answer.
At Bridgeview School, 7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Bridgeview School ride the school bus. The remaining students walk. What fraction of the students walk to school?
Answers
Answer:
a fraction
Step-by-step explanation:
a fraction
C
Step-by-step explanation:
2/3 + (-1/3) = ?????
Answers
Answer: (+) 1/3
Step-by-step explanation: 2/3 + -1/3 is basically subtracting 1/3 from 2/3 so, 2/3 - 1/3 = 1/3.
Answer:
The answer is 1/3.
Step-by-step explanation
If you have a calculator then you can put it in your calculator and it will give you the answer.
If you don't have one then here is how you do it.
Its simple really, all your doing is just subtracting 1/3 from 2/3 and you will get 1/3 which is the answer.
I hope this helps you.
3x – 4y = 2; 6x – 8y = 1 .
How many solutions PLEASE
Answers
Answer:
No solution
Step-by-step explanation:
3x - 4y = 2
6x - 8y =1
Multiply the first equation by -2 so you can eliminate the x's.
-2(3x-4y =2)
6x - 8y = 1
-6x + 8y = 2
6x - 8y = 1
Add the equations so they cancel.
0 + 0 = 3
0 [tex]\neq[/tex] 3, therefore there are no solutions.
How can you use the coordinates of two points on a line to determine the slope of the line?
Answers
Answer:
you can use the slope intercept formula!
y2-y1/x2-x1
Step-by-step explanation:
lets take an example!
the coordinates of 1 point are (2,4) and the other point is (4,6)
so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.
6-4/x2-x1
lets do same for x!
6-4/4-2
lets solve
2/2
=1
the slope is 1
Help? I’ll mark u brainliest
Answers
Answer:
11 because adjacent is basically next to and NKL is 12
Step-by-step explanation:
brainly pls
What is the solution of x + 6 11
C. x –1
show your work pls
Answers
Answer:
C. x < –1
Step-by-step explanation:
What is the solution of x + 6 < 5?
A. x < 11
B. x > 11
C. x < –1
D. x > –1
-1+6<5
but you need less than 5 so
x<-1
6 quarts =
gallons
Please i meed help answer fast
Answers
Answer:
1 2/4 or 1.5
Explanation:
There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D
Hope this helped!
please help i need to raise my grade
Answers
Answer:
use brainly
Step-by-step explanation:
What’s the sum of -3a+2 and 5a-3
Answers
Answer:
2a-1
Step-by-step explanation:
Answer:
2a-1
Step-by-step explanation:
you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.
Work out the value of (1.7X10^4) X (8.5X10^-2) in standard form
Answers
Answer:
1.445 × 10³ hope it helped goodluck!
Which number is the additive inverse of -4
-4 1/4
-1/4
1/4
4 1/4
Answers
Answer:
4 1/2 maybe
Step-by-step explanation:
Answer ...
Step-by-step explanation: Cheating on your test I see.
what are the terms for 7h + 3
Answers
Answer:
7h+3=45
Step-by-step explanation:
Hey guys p lease help!!
Answers
Answer:
24
Step-by-step explanation:
Using ratios, we know that PQ/PT = PR/PS = QR/TS
of course, we know this because of AA similarity.
PQ/PT = 1/2
so PR/PS = 1/2 => PS = 12*2 = 24
Answer:
24
Step-by-step explanation:
PQ is half of PT, therefore, if PR = 12, PS = 24
Solve for x
30°
9x - 3
Answers
60 = 9x - 3
63 = 9x
x = 7
