Answer:
A
Step-by-step explanation:
Equation
300 ( 1 + x) = 420
Explanation
You start with 300. What fractional amount do you need to increase the original amount up to 420
Solution
Divide both sides by 300
300(1 + x)/300 = 420/300
1 + x = 1.4
Subtract 1 from both sides.
1 - 1 + x = 1.4 - 1
x = 0.4
But as a percent this number is 0.4 * 100 = 40%
Answer
40% which is A
Answer:
Step-by-step explanation:
The given expression is
.
We have to check which of he given options on simplification gives the same given expression.
(A) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(B) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(C) The expression is:
=
=
which is not equivalent to the given expression, thus this option is incorrect.
(D) The expression is:
=
=
which is equivalent to the given expression, thus this option is correct.
(E) The expression is:
=
==
which is equivalent to the given expression, thus this option is correct.
(F) The expression is:
=
which is not equivalent to the given expression, thus this option is incorrect.
Answer:

Step-by-step explanation:

First, collect and rearrange the like terms.



Then, solve the equation:



So, the answer is
. Hope my solution and explanation can help you. Thank you!
If you still cannot get the point, you can ask me anytime.
Answer:
i)
0.79m
ii)
1.21m
iii)
7/5m
iv)
3/5m
Step-by-step explanation:
i)
The price of a USB memory stick selling at a 21% discount off its marked price (m)
The marked price m represents 100% of the value of the USB memory stick. Offering a 21% discount off the marked price will mean that the USB will be selling at;
(100 - 21)% of the marked price m
=79% of m
= (79/100)*m
= 0.79m
ii)
The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD.
The amount (m) needed to manufacture the CD would represent 100% of the value of the CD. Selling the CD for 21% more than the amount (m) needed to manufacture the CD will imply that the selling price is;
(100+21)% of m
= 121% of m
= (121/100)*m
= 1.21m
iii)
The final value of a painting after its initial value, m, increases by 2/5.
The initial value of the painting is given as m. The value of the painting is said to increase by 2/5 which means that the increase in its value would be;
2/5 of m
=2/5 * m
=2/5m
The final value of the painting will thus be;
initial value + increase in value
=m + 2/5m
= m(1+2/5)
=7/5m
iv)
The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy.
Initially, Nancy had a total of m markers. By giving away 2/5 of her markers to Amy, her markers reduced by;
2/5 of m
=2/5*m
=2/5m
The new number of her markers will be given by;
initial numbers - total given to Amy
= m - (2/5m)
= m(1 - 2/5)
=m(3/5)
=3/5m
Answer:
Jace is correct they can use their loaves of bread to show 1/2 is less than 1/3. Because they have 2 loaves of bread