1/3 (1/2x -9) = 1/2 ( x + 18)
1/6x -3 = 1/2 +9
1/4x -3 =9
1/4x =12
x=48
What mistake was made in the problem ?
Answers
Answer:
1/6x - 1/2x does not equal 1/4. They made a mistake in the second to third line.
Step-by-step explanation:
It should have been -1/3x - 3 = 9, which gives you x = -36.
1/6 - 1/2 = 1/6 - 3/6 = -2/6 = -1/3
The mistake is in the third step, the subtraction was done without taking LCM. The value of x is -36.
What is simplification?The numerical expression having two or more operations can be simplified by using ‘BODMAS’ rule, where the letters B, O, D, M, A, S stand for Brackets , orders (powers/indices or roots) , Division, Multiplication, Addition and Subtraction respectively.
For the given situation,
The expression is 1/3 (1/2x -9) = 1/2 ( x + 18).
We need to simplify the expression to find the mistake done by them.
⇒ [tex]\frac{1}{3}(\frac{1}{2}x-9 ) = \frac{1}{2}(x+18)[/tex]
⇒ [tex]\frac{1}{6}x-3 = \frac{1}{2}x+9[/tex]
⇒ [tex]\frac{1}{6}x-\frac{1}{2}x = 9+3[/tex]
⇒ [tex]\frac{-2x}{6}=12[/tex]
⇒[tex]\frac{-1}{3}x=12[/tex]
⇒ [tex]x=-36[/tex]
Hence we can conclude that the mistake is in the third step, the subtraction was done without taking LCM. The value of x is -36.
Learn more about simplification here
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Related Questions
Please I will give 5 points
Answers
Answer:B
Step-by-step explanation:
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question 3 options: negative x positive positive ÷ negative positive ÷ positive negative x negative negative ÷ positive positive x positive negative ÷ negative positive x negative
Answers
Answer:
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Step-by-step explanation:
1. Negative × positive = negative
- × + = -
2. positive ÷ negative = negative
+ ÷ - = -
3. positive ÷ positive = positive
+ ÷ + = +
4. negative x negative = positive
- × - = +
5. negative ÷ positive = negative
- ÷ + = -
6. positive x positive = positive
+ × + = +
7. negative ÷ negative = positive
- ÷ - = +
8. positive x negative = negative
+ × - = -
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Note: when the signs are different, they will give negative
When the signs are the same, they will give positive
Find the slope of (-2,1),(2,-2)
Answers
Answer:
m= -3/4
Step-by-step explanation:
use point slope formula
could someone help me out with this problem I'm not that great at math
Answers
Answer:
Obtuse.
Step-by-step explanation:
if MrBeast has 2,000 subscribers, and on the next 2 weeks he has now 44,000 subs. what was his subs during those two weeks?
Answers
Answer:
He got 42,000 subs in the 2 weeks.
Step-by-step explanation:
ANSWER:
42,000
SOLUTION:
44,000
- 2,000
42,000
What is the slope of a line parallel to the line whose equation is 5x+y=-9
Answers
Answer:
slope = - 5
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 )
Given
5x + y = - 9 ( subtract 5x from both sides )
y = - 5x - 9 ← in slope- intercept form
with slope m = - 5
Parallel lines have equal slopes, thus
The slope of a parallel line to the given equation is m = - 5
Will give brainlest please help! ASAP!
Answers
and
square root 3
Which pair of triangles is similar?
Answers
Answer:
Two pairs of corresponding angles Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
Step-by-step explanation:
log4 x + log4 (x – 3) = 1 Solve the equation.
Answers
Answer:
x is EQUIVALENT to 2.89
Step-by-step explanation:
100 points please solve fast! Brainliest please!
Answers
Answer:
21Step-by-step explanation:
The number of rectangles and combinations:
1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1Total
6 + 5 + 4 + 3 + 2 + 1 = 21Now the number of,
Rectangles and combinations are,
→ 1 rectangle = 6
→ 2 rectangles = 5
→ 3 rectangles = 4
→ 4 rectangles = 3
→ 5 rectangles = 2
→ 6 rectangles = 1
Then the total number is,
→ 6+5+4 + 3+2+1
→ 15 + 6 = 21
Hence, total number is 21.
1 pack of cigarettes contains 20 cigarettes. Each cigarette smoked is said to reduce a person's life expectancy by 11 minutes. If a person smoked one pack per day for 25 years, how much shorter would their life possibly be? In minutes: In days: In hours: In years: bruh, heaLP
Answers
Answer:
Step-by-step explanation:
1 pack per days means 20 cigarettes a days each cigarette reduces life by 11 minutes. which is 220mins per day
25*365*24*60 =13140000mins originally
1) 25 years in minutes will be
reduction of life due to smoking = 220*365*25= 2007500minutes
2)In days
originally = 9125days
after smoking=220/24*60=0.1527*365*25= 1393days are reduced
3)In hours
originally = 219000hrs
reduced life =3.67*365*25= 33488.75hrs
i need help pleaseeee.
Answers
Answer:
problem 9
x is 45 and y is 20
problem 10
x is 20 and y is 10
problem 11
x is 13 and y is 12
Answer:
Step-by-step explanation:
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box
Answers
Answer:
y = -2/3x + 2
Step-by-step explanation:
2x + 3y = 6
To put it in slope intercept form, move x to the other side:
3y = -2x + 6
Divide each side by 3:
y = -2/3x + 2
So, y = -2/3x + 2 is the slope intercept form of the linear equation
PLEASE HELP
Rachel, Charlie, and Milan have a total of $132 in their wallets. Rachel has $6 more than Charlie. Milan has 4 times what Rachel has. How much do they have in
their wallets?
Answers
Charlie has 17 dollars
Milan has 92
John ran for president of the chess club. Of the 325 members in the chess club, 195 members voted for John. What percent of students voted for John?
can someone help me out.
Answers
Answer:
65%
Step-by-step explanation:
325-195=130
130/200= 65
gd231037 gabrielle d
Answers
Answer:
c
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother sid he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this situation?
a
\large 6d+7.5c\le15
\large d+c\ge75
b
\large 6d+7.5c\le75
\large d+c\ge15
c
\large 6d+7.5c\ge75
\large d+c\le15
d
\large 6d+7.5c\ge15
\large d+c\le75
Answers
Answer:
d + c ≤ 15
6*d + 7.50*c≥ 75
Step-by-step explanation:
Mathematical inequality is that proposition that relates two algebraic expressions whose values are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.
In other words, an inequality is obtained by writing two numerical or algebraic expressions related to any of the symbols>, <, ≥ or ≤.
You know Tom's mom said that he can't work more than 15 hours to make sure he keeps up with his homework. That is, the number of hours walking the neighbor's dog added to the car wash should not exceed 15 hours, that is, it must be less than or equal to that amount. If d represents the number of hours walking your neighbor's dog and c represents the number of hours washing cars, then it is possible to represent this by the following inequality:
d + c ≤ 15 Inequality (A)
On the other hand, you know that Tom needs to earn at least $ 75 to cover the expenses of this weekend's prom. In other words, the money earned by walking dogs added to that earned by washing cars must be equal to or greater than $ 75. If Tom will walk his neighbor's dog for $ 6 an hour and wash cars for $ 7.50 an hour, then $ 6*d is the money earned walking dogs and $ 7.50*c is the money earned from washing cars. So this is represented by the inequality:
6*d + 7.50*c≥ 75 Inequality (B)
Then the system of inequalities that represents this situation is given by the Inequation (A) and the Inequation (B)
The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.
Answers
Answer:
Width of the rectangle = 6.325 units
Length of the rectangle = 12.65 units
Side length of the square the 6.325 units.
Step-by-step explanation:
The length of a rectangle is twice the width. The area of the rectangle is 80 square units.
The area of the rectangle = Length × Width
Length = 2W
80 square units = 2W × W
80 = 2W²
W² = 80/2
W² = 40
W = √40
Width of the rectangle = 6.3245553203 units
Approximately = 6.325 units
Length = 2 × Width
= 2 × 6.325
= 12.65 units
• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square?
We you divide a rectangle into 2 squares,
The length is divided into two.
Hence, the length of the rectangle = 12.65 units
12.65 units ÷ 2 = 6.325 units.
Hence, the side length of the square the 6.325 units.
solve each system by substitution. 5) y=-2
4x - 3y = 18
Answers
Answer:
x = 3
y = − 2
Step-by-step explanation:
Guys i need it asap
Carter is hying to guess his friend Abby s middle initial. Abby said her middle initial has exactly two lines of
symmetry. Which letter could be Abby s middle initial?
Answers
Answer:did u get the answer...
Step-by-step explanation:
pls help with this question
Answers
Answer: C. y=4x-7
Step-by-step explanation: 4 is the slope so it is next to x and -7 is the y intercept so -7 is after 4x.
Answer: C y= 4x-7
Step-by-step explanation: y=mx+b
mx= slope and b = y intercept
plug in the number to get the slope formula
Hopefully this helps
4x-5y+2z=-3
6x+4y+9z=8
11x-2y-z=7
Answers
Answer:
thank you i need that
Step-by-step explanation:
HI PLEASE HELP AH - ill mark brainliest !
if you flip three coins, the probability of getting three heads is 1/8. Interpret this probability.
Answers
(Also you can use the formula for that.
The interpretation of the probability is there is a 12.5% chance of obtaining three heads when three coins are flipped
The probability is given as:
[tex]\mathbf{Pr = \frac 18}[/tex]
The above represents the probability of flipping a head three times.
Express as decimal
[tex]\mathbf{Pr = 0.125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 12.5\%}[/tex]
This means that, there is a 12.5% chance of obtaining three heads when three coins are flipped
Read more about probability at:
https://brainly.com/question/11234923
Harriet works at the Mint, where new coins are made. Old and fake coins are also destroyed there. Harriet has 10 bags of $1 coins. All 10 bags contain the same number of coins. Harriet knows that nine bags contain only good coins and that one bag contains only fake coins. The fake coins are all about 0.5 gram short. Harriet has forgotten which bag contains the fake coins.
Harriet has a set of scales for weighing like the ones in the illustration. What is the lowest number of times she can weigh bags on the scales in order to find the bag of fake coins?
Answers
Answer:
3 times
Step-by-step explanation:
She would have to weigh the fake coins and another bag of real coins to spot a difference, and then she would need to check another bag to see which was correct. Maybe thats right.
3. Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
Ok this was the hardest to answer....
Answers
Answer:
C
Step-by-step explanation:
Add 12a + -16a
Add 26 + -4b
Multiply:
a) (x + y)(x + y)
b) (3x + 2y)(3x - 2y)
Answers
Answer:
[tex]a. x^2+2xy+y^2\\\\b. 9x^2-4y^2[/tex]
Step-by-step explanation:
foil method
a. (x+y)(x+y) =
[tex]x^2+xy+xy+y^2 simplify like terms\\x^2 + 2xy + y^2[/tex]
b. (3x+2y)(3x-2y) = [tex]9x^2-6xy+6xy-4y^2 simplify like terms\\9x^2-4y^2[/tex]
how many gallons is 15 meters ?
Answers
Answer: im pretty sure its 3962.58
Step-by-step explanation
Explain why (−4) × (−5) = 20. Use any logic such as an example from the Integer Game to support your reasoning.
Answers
RE QUESTION!! ANSWERS NEEDED!!!
Answers
Step-by-step explanation:
You divide for the first one. for example, 3/18, u divide it with 3. 18÷3 is 6, so you divide the same the number. so it will be 1/6. so F, is 1.
for the other one, you polt the points and then connect it, but then when it says Stop, you have to stop and start a new a one. lemme show u an example.
(-3,-11)
-3 is the X axis
and -11 is the y axis
the vertical line is the y axis and the horizontal line is the x axis
hope that helped!!!:)
use the square root property
(x-3)^2=-4
Answers
Step-by-step explanation:
[tex](x - 3) {}^{2} = - 4 \\ (x - 3) = \sqrt{ - 4} [/tex]
square root of -4 can't be out since it is a negative number.
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