In third step Alice want to add+21 on both sides but she mistakenly subtract 21 in left side that's why Alice got wrong answer
WRIGHT ANSWER
4x+21=7x-12
4x-7x+21=7x-7x-12
-3x+21+21= -12+21
-3x+42=9
-3x=9-42
-3x=-33
x=11
By selling a book for Rs.400 a student got two successive profits of 12% and 40% respectively. Then his total profit is
a.62%
b.50%
c.55%
d.56.8%
The total profit made by the student is 56.8%
The correct answer is D
Given parameters:
final price in which he book was sold = Rs.400
the first profit made by the student = 12% = 0.12
the final profit made by the student = 40% = 0.4
To find:
the total profit of the studentTo find the total profit made by the student, we have to find the initial cost price of the book.
The cost price of the book before the student made the profit of 40%.
Let this cost price = y
100%y + 40%y = 400
140%y = 400
1.4y = 400
[tex]y = \frac{400}{1.4} \\\\y = 285.71[/tex]
This cost price become the new selling price before the student made the profit of 12%.
The cost price of the book before the student made the profit of 12%.
Let this cost price = x
100%x + 12%x = 285.71
112%x = 285.71
1.12x = 285.71
[tex]x = \frac{285.71}{1.12} \\\\x = 255.1[/tex]
This is the initial cost price of the book
The total profit made by the student is calculated as;
[tex]Profit \ \%= \frac{selling \ price - cost \ price }{cost \ price} \times 100\%\\\\Profit \ \%=(\frac{400 - 255.1}{255.1} )\times 100\%\\\\Profit \ \%= 56.8\%[/tex]
Thus, the total profit made by the student is 56.8%
Learn more here: https://brainly.com/question/22817183
Twelve people together can clear a field in eighteen hours. In how many hours could
nine people have cleared the same field? (Assume that all people clear a field at the
same rate.)
vicent is making a number sentence using 1,3 and 5. what is the missing digit? show your work out.
120 Calories in 2 servings; 360 Calories in 6 servings are these two equal
Is line l parallel to line m? Explain.
Yes, alternate interior angles are congruent.
No; alternate interior angles are not congruent.
No; corresponding angles are not congruent.
Yes; corresponding angles are congruent.
Answer:
yes, corresponding angles are congruent
Step-by-step explanation:
Bicycle club went on a six hour ride the graph below shows the relationship between the number of hours spent on the trails and the number of miles traveled which statement interprets information provided by the graph
Two workers, a trainer and a trainee, working together can do a job in 3 hours. The trainer is 3 times faster than the trainee to complete the same job. How long will it take the trainee to finish the same job?
Answer:
4 hours
Step-by-step explanation:
Ratio of working together
Job : number of hours
1 : 3 = 1/3
Trainer
Job : number of hours
1 : x = 1/x
Trainee
Job : number of hours
1 : 3x = 1/3x
1/x + 1/3x = 1/3
Multiply through by 3x
3x(1/x) + 3x(1/3x) = 3x(1/3)
3 + 1 = x
4 = x
x = 4 hours
It takes the trainee 4 hours to finish the job
Solve & Share
Renee needs 32 strands of twine for an
art project. Each strand must be 1.25 centimeters long.
About how many centimeters of twine does she need?
Solve this problem any way you choose!
he need 26 centimeters
A public parking garage charges $5, plus an additional $2 per hour.
Choose the graph of the line relating parking costs to time (in hours).
Answer:
y=2x+5
Step-by-step explanation:
Answer:
you might not need the answer now, but for anyone else its a and part a is y=2x+5
Step-by-step explanation:
What is eighteen lots of twelve?
Answer:
216
Step-by-step explanation:
Lots of means multiplication so:
18 × 12 = 216
HOPE THIS HELPED
What is the length of the bedroom.
Answer:
[tex]10\sqrt{3}[/tex]
Step-by-step explanation:
The length of the bedroom would be [tex]4\sqrt{3}+ 6\sqrt{3}[/tex] which would equal [tex]10\sqrt{3}[/tex] because when 2 numbers have the same radical, you just add the number in front.
Answer:
14.69ft by 17.31 ft
Step-by-step explanation:
If you do 6 to the square root of 6 then you get 14.69 then you do the same for the other two and get 10.39 and 6.92 then you add those two new numbers up and get 17.31
Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14. What is the value of the second expression when x = 5, and are the two expressions equivalent? The value of the second expression is 8, so the expressions are not equivalent. The value of the second expression is 14, so the expressions are equivalent. The value of the second expression is 16, so the expressions are equivalent. The value of the second expression is 18, so the expressions are not equivalent.
Answer:
The value of the 2nd expression is 14, so the expressions are equivalent.
Step-by-step explanation:
6 + 2x - 2
6 + 2(5) - 2
6 + (10) - 2
16 - 2
14
Answer:
I believe is The value of the second expression is 14, so the expressions are equivalent.
Step-by-step explanation:
I took the test and got it right.
the distance from earth to the sun is approximately 93 million miles about how many giga meters is this round to the nearest hundredth
Answer: 149.7
Step-by-step explanation:
enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane
Answer:
(1.5,-1.5)
Step-by-step explanation:
Hope this helps you
Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?
Answer:
1 gallon of gas= 38 miles
Step-by-step explanation:
152÷4= 38.
A fair six-sided die is rolled. Find the probability of getting a 4.
Answer:
A fair six-sized die is rolled. Find the probability of getting at least a 4.
There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.
Consider the system of equations below. What could be the first step in solving by elimination?
The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.
Answer:
Subtracting the 2 equations
Step-by-step explanation:
3x + 5y = 16
3x + 2y = 10
Subtract it;
3y = 6
Divide both sides b 3;
y = 2
Substitute y;
3x + 5y = 16
3x + 5(2) = 16
3x + 10 = 16
Subtract 10 from both sides;
3x = 6
Divide both sides by 3;
x = 2
(x, y) = (2, 2)
What can be used as a factor to rewrite 16f^2-25g^2?
Answer:
B = 5g
16f2 - 25g2
Step-by-step explanation:
Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep
your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your
deposit in the bank?
To earn at least $120 interest, you should keep your deposit in the bank for year(s).
Answer:120/2.5%
Step-by-step explanation:
Order these numbers least to greatest 5/3,1,12/6
Answer:
1,5/3,3 that the answers
The probability of concluding that assignable variation exists when only random variation is present is:_____
I. the probability of a type I error.
II. known as the alpha risk
III. highly unlikely.
IV. the sum of probabilities in the two tails of the normal distribution
a. I and II
b. I and IV
c. II and III
d. I, II, and IV
e. I, III, and IV
Answer:
d. I, II, and IV
Step-by-step explanation:
The probability of a type I error: A type I error comes to play when one turns down the null hypothesis when it is true.
known as the alpha risk: this is also referred to as type I error, it is the risk in a statistical test which shows that a null hypothesis will be rejected even though it is actually true.
The sum of probabilities in the two tails of the normal distribution.
Hence, I, II, and IV are the options
A student wants to use the property
(
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?
The property is an illustration of difference of two squares
The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
The property is given as:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
The product is given as:
[tex]\mathbf{(26)(34)}[/tex]
Let x - y = 26, and x + y = 34.
So, we have:
[tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x + y = 34}[/tex]
Make x the subject in [tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x = 26 +y}[/tex]
Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]
[tex]\mathbf{26 + y+ y = 34}[/tex]
[tex]\mathbf{26 + 2y = 34}[/tex]
Subtract 26 from both sides
[tex]\mathbf{2y = 34 -26}[/tex]
[tex]\mathbf{2y = 8}[/tex]
Divide both sides by 2
[tex]\mathbf{y = 4}[/tex]
Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]
[tex]\mathbf{x = 26 + 4}[/tex]
[tex]\mathbf{x = 30}[/tex]
So, we have:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Read more about difference of two squares at:
https://brainly.com/question/23651973
f(x) = x2-3x2
g(x) = 4x + 5
Find ( f - 2g)(7)
A) -14 B) -26
C) 130
D) -10
Which of the following equations has no solutions?
A.7x - 3x - 4 - 4
B.7x - 3x + 4 = 4
C.3(2x - 4) - 6(x - 2)
D.3(2x - 4) = 61X + 2)
What is the slope of the line that passes through the two given points? (13, -2) and (3, -2)
Answer:
[tex]the \: slope \: is \: \boxed{0}[/tex]
Step-by-step explanation:
[tex]the \: slope \: : m = \frac{ - 2 - ( - 2)}{3 - 13} = - \frac{0}{10} [/tex]
Sarah, Dan & Gavyn share some
money in the ratio 5:1:4
In total, Sarah and Gavyn receive
£45.
How much does Dan get
Answer:
$11.25
Step-by-step explanation:
45/4=11.25
Simplify
114
11
1
1112
01
114
0 114
0 11 12
Let f(t)=6−2t2. Evaluate f(t+1).
Answer:
f(t+1)= -4t+2
Step-by-step explanation:
Subsitute the given vaule into the function and evaluate.
Find the missing angle measure. 50, x, and 100
Answer:
All angles in a triangle add up to 360
360-100-50 = 210
x = 210
Step-by-step explanation:
It is 30 points and will give brainliest
Use Pascal's Triangle to solve this equation. SHOW WORK:
(2a - b)²
Answer:
4a2−4ab+b2
Step-by-step explanation:
(2a−b)2 =(2a+−b)(2a+−b)
=(2a)(2a)+(2a)(−b)+(−b)(2a)+(−b)(−b)
Sooo our equation =4a2−2ab−2ab+b2
Hoped I helped -
Sleepy~
