<h3>
Answers:</h3><h3>
6 quarters</h3><h3>
2 dimes</h3>
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Work Shown:
d = number of dimes
q = number of quarters
q = d+4 since she has 4 more quarters than dimes
$1.70 = 170 cents
10d = value of all the dimes in cents
25q = value of all the quarters in cents
10d+25q = total value of all the coins in cents
10d+25q = 170
10d+25( q ) = 170
10d+25( d+4 ) = 170 .... plug in q = d+4
10d+25d+100 = 170 .... distribute
35d+100 = 170
35d = 170-100 ..... subtract 100 from both sides
35d = 70
d = 70/35 ... divide both sides by 35
d = 2
He has 2 dimes
q = d+4
q = 2+4
q = 6
He also has 6 quarters
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Check:
1 dime = 10 cents
2 dimes = 20 cents ..... multiply both sides by 2
1 quarter = 25 cents
6 quarters = 150 cents ..... multiply both sides by 6
(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents
This confirms the answers.
Answer:
May: $23.25
Inez: $2325
Jo: $232.5
Step-by-step explanation:
Inez makes 100 times as much as May. Since May makes $23.25, move the decimal point two places to the right to multiply the number by 100. You will get $2325. Jo makes 1/10 of the money Inez makes. Pretend there is a decimal point at the end of 2325. Move the decimal point one place to the left to divide by 10. You will get $232.5.
176 minutes,
70x5,280= 369,600 divide by 35= 10,560 divide by 60=176
(x-5)(4x+1)
4x^2 times -5 is -20 the factors of -20 are -1x20, 1x-20... but to make the -19x you would add together the 1 and -20 because 1-20 is -19.
This then splits off to factorise 4x^2-20x, making this side 4x(1x-5) carry the brackets over to make it 1(1x-5) joining the brackets together to make (4x+1)(x-5)
9514 1404 393
Answer:
3.88%
Step-by-step explanation:
The probability that 1 is defective and 3 are not (out of four) is ...
P(1 of 4) = 4(0.01)(0.99)^3 ≈ 0.0388 = 3.88%
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The multiplier of 4 comes from the number of ways that 1 can be chosen from 4.
