Answer:
Find the GCD (or HCF) of numerator and denominator
GCD of 252 and 3 is 3
Divide both the numerator and denominator by the GCD
252 ÷ 3
3 ÷ 3
Reduced fraction:
84
1
Therefore, 252/3 simplified to lowest terms is 84/1.
Answer:
$32
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
The equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t
<h3>When the coolers would have the same amount of water?</h3>
Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t
Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t
Where t represents seconds
When they have the same amount of water, the two above equations would be equal
4.5 + 0.1t = 7 + 0.25t
Combine similar terms
7 - 4.5 = 0.1t - 0.25t
2.5 = 0.75t
Hence the equation that can be used to determine when each cooler would contain the same amount of water is 4.5 + 0.1t = 7 + 0.25t
To learn more about mathematical equations, please check: brainly.com/question/26427570
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