Answer:
<h2>A. x = -1 or x = 3</h2><h2>B. first</h2>
Step-by-step explanation:
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
Question:
Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.
(a)How many ways can this be done, if the order of the choices is taken into consideration?
(b)How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
(a) 6 choices
(b) 3 Choices
Step-by-step explanation:
Given:
3 Colors
Order of choice : Red, Blue, Green
(a)
Order of the choices taken into consideration :
When we are picking the first colour there are 3 color choice.
When we are picking second colour there are 2 choice and so on.
Therefore, total choices are = 3*2 = 6 choices
(b)
Order of the choices not taken into consideration :
When to take this option we choose as 
and the remove the duplicates
Therefore, choices are = 
=
= 3 Choices
Answer:
y = 10
Step-by-step explanation:
-7x + 3y = 30
(-7 x 0) + 3y = 30
0 + 3y = 30
3y = 30
y = 10
