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Tema [17]
3 years ago
7

Shaz is cleaning under the kitchen sink. He found five 2-liter bottles of glass cleaner. None of the bottles is full. The bottle

s contain the following amounts.
Bottle 1 – 375 mL Bottle 2 – 150 mL Bottle 3 – 190 mL
Bottle 4 – 780 mL Bottle 5 – 630 mL
How many liters of glass cleaner do the five bottles contain in total?
If Shaz combines all of the glass cleaners into as few bottles as possible, how many bottles will he use?
Mathematics
2 answers:
Stels [109]3 years ago
6 0
Sbshehe fjshebd Shane
elixir [45]3 years ago
6 0

Step-by-step explanation:

375 + 150 + 190 + 780 + 630 = 2125 ml

For first question

2125 ml ÷ 10^3 = 2.125 liter

And by criss cross method 2 litter - > 1 bottle

2.125 liter - > x ( x is unknown)

X= 2.125 / 2 = 1.0625 bottles

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Step-by-step explanation:

3 0
3 years ago
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

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0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

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