Answer:
Line DC.
Step-by-step explanation:
Point D and Point C are not connected and, therefore, do not form a line.
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
Currency such as dollars can come in various forms such as dimes, quarters, pennies, and nickels.
The number of quarter coins is 12 and the number of dollar coins is 14 coins.
Let's represent:
The number of 1 dollar coin = d
The number of 1 quarter coin = q
The twenty-six coins in my pocket are all dollar coins and quarters. The algebraic equation for this statement above is =
d + q = 26 ........ Equation 1
Making d the subject of the formula
d = 26 - q
1 dollar coin = $1
1 quarter = $0.25
The value of the dollar and nickel coins is seventeen dollars. The algebraic expression for this statement is :
$1 x d + $0.25 x q = 17
d + 0.25q = 17.................Equation 2
Substitute 26 - q for d in Equation 2
26 - q + 0.25q = 17
Collecting like terms
26 - 17 = q - 0.25q
9 = 0.75q
Divide both sides by 0.75
9/0.75 = 0.75q/0.75
q = 12 coins
Solving for number of dollar coins
d = 26 - q
q = 12
d = 26 - 12
d = 14 coins
Therefore, the number of quarter coins is 12 and the number of dollar coins is 14 coins.
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brainly.com/question/22799498
Answer:
(3,-3)
Step-by-step explanation:
Answer:
He gets paid $80 each weekend, and a 15% with tips.
you would need to figure out the tips, by taking the $725 and timesing it by .15 for the percent.
which would be 108.75
you would now take 108.75 and add 80 to get what he made that weekend.
108.75+80 = 188.75 dollars
Step-by-step explanation:
