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!
Related Questions
Describe and correct the error in using properties of parallelograms.
Answers
Answer/Step-by-step explanation:
Opposite angles of a parallelogram are equal to each other.
Therefore, <S = <U, and <T = <V
Consecutive angles of a parallelogram are supplementary.
Therefore,
m<S + m<V = 180°
50° + m<V = 180°
m<V = 180° - 50° (subtraction property of equality)
m<V = 130°
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Answers
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
what is the value of x? -6x=90
Please show you got the answer
Answers
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me
Answers
Answer:
1683 / 383 = 4.39 or approx 4.4
Answer:
4.39425587467 or 4 remainder 151.
Step-by-step explanation:
Long division.
Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.
Answers
Answer 6
Step-by-step explanation:
I found the answer on calculator
Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10
Answers
Answer:
-4x - 10
Step-by-step explanation:
Given the expression -2/3(6x+ 15)
Open the bracket
-2/3(6x+ 15)
= -2/3 (6x) -2/3(15)
= -2(2x) - 2(5)
= -4x - 10
hence the equivalent expression is -4x - 10
5x + 3y = 5
5x + 7y = 25
Answers
Answer:
(-2,5)
Step-by-step explanation:
Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.
Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.
k
8
12
k+2
k+8
k+10
k-2
k-8
Answers
Answer:
Step-by-step explanation:
The expression for the total distance covered.
k + (k + 8) + (k - 2)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Distance biked:
Jackson = k
Maria = k + 8
Peter = k - 2
Now,
The total distance biked.
= k + k + 8 + k - 2
= 3k + 6
= 3 (k + 2)
Thus,
The total distance covered is 3 (k + 2).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
!!Please Help!! Find the value of z to the nearest tenth.
Answers
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
how to solve proportions
Answers
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."I need help I don’t get the question
Answers
9x - 7 = 7x - 3
2x = 4, x = 2
Solution: x = 2
Answer:
2
Step-by-step explanation:
9x-7 = 7x-3
9x-7x = 2x
2x -7 = -3
+7 +7
2x=4
x=2
7(n - m) for m = 4 and n = 15
Answers
Answer:
63
Step-by-step explanation:
7(15-4)
7(9)
63
What is the solution set for the inequality below
-3x + 15 < 18
Answers
Answer:
x > -1
Step-by-step explanation:
-3x + 15 < 18
Subtract 15 from each side
-3x + 15-15 < 18-15
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answers
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
Use the right triangle shown to answer the question.
26
32°
*not drawn to scale
What is the approximate value of x?
Answers
Answer:45
Step-by-step explanation:
Answer:13.8
Also Stop cheating
Simplify:
√36a^3b^4
A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3
Answers
Can you mark me BRAINLEST
can y'all please help 10 points
Answers
Answer:
[tex] \frac{23}{24} [/tex]
Step-by-step explanation:
[tex]2a + b[/tex]
[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]
Substitute a = 5/12 and b = 1/8 in the expression.
[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]
Our denominator must be 24. (LCM)
[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]
PLEASE HELP ASAP!!
The graph represents which system of inequalities?
A.) y<=-2x+3
y<=x+3
B.) y>=-2x+3
y>=x+3
C.) y<=-3x+2
y<=-x+2
D.)y>-2x+3
y>x+3
Answers
Answer:
Its the yellow area
Step-by-step explanation:
Simplify the expression
6s-6s=?
Answers
Answer:
0
Step-by-step explanation:
6-6=0 so when you multiply s by 0 its 0
Find the value of x in rectangle BCDE.
Find Value of x.
Answers
Answer:
34
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
2x=x+34
-x -x
x=34
TADA! :D
2. Find the distance between the two points on the coordinate plane given below.
Answers
Pls explain how you got the answer also ☺️
Answers
Answer: x = 250
Step-by-step explanation:
-17 + x/5 = 33
+17 on each side to get rid of the 17
x/5 = 50
Multiply each side by 5 to cancle out the 5 and isolate the variable
x = 250
Can somebody help me. Will mark brainliest.
Answers
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
Solve: a + 4 = 48
a = 43
a = 51
a = 44
a = 52
Answers
Answer:
a = 44 is correct
Step-by-step explanation:
a + 4 = 48
plug in the #'s 1 at a time
43 + 4 = 48
47 = 48 FALSE
51 + 4 = 48
55 = 48 FALSE
44 + 4 = 48 TRUE
52 + 4 = 48 FALSE
Hope this Helps!!!
Answer:
Your answer would be a= 44
Step-by-step explanation:
44+4=48
To check: 48-4=44
Therefore, your answer is 44
The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answers
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
Select the equation that represents the graph above.
y=x√−2y is equal to square root of x minus 2 , ,
y=x√+2y is equal to square root of x plus 2 , ,
y=x+2y is equal to x plus 2 , ,
y=x+2−−−−−√
Answers
Answer:
_
just did the test and got it right its /x + 2
Step-by-step explanation:
just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option
I need help my teacher never taught me well
Answers
Answer:
3:20
Step-by-step explanation:
Answer:
4:18
hope it helps.....
Find the slope and the -intercept of the line. y=-1/5x+7 plz i need help
Answers
Answer:
slope= -1/5
y-intercept=7
Step-by-step explanation:
y=mx+b is a linear equation
m=slope
b=y-intercept
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answers
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
Need answers for #3 please hep
