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svlad2 [7]
3 years ago
6

The number of girls in Mrs. Manning’s classes was 12 less than twice the number of boys. She had a total of 108 students in her

classes. How many girls and how many boys are in Mrs. Manning’s classes?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

40 boys and 68 girls

let's start with variables and an equation.

boys: x

girls: 2x - 12

and we know that boys and girls make up the class. so let's add the two expressions.

x + 2x - 12 = 108

3x - 12 = 108

    + 12     + 12

3x = 120

x = 40 boys

BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.

2x - 12 = # of girls

2(40) -12 = # of girls

80 - 12 = # of girls

68 girls

let's check our answer!

68 + 40 does in fact add to 108, therefore our answer is correct.

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Step-by-step explanation:

once the level of medicine reaches a value, where 30% are 23mL (so, whatever is lost, is immediately replaced again), that is then the long run value for the amount of the drug in the patient's body.

so,

30% = 23 mL

1% = 30%/30 = 23/30 = 0.766666666...

100% = 1%×100 = 0.766666666... × 100 = 76.666666...

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so, the answer is

76.667 mL

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2 years ago
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valentinak56 [21]

Answer:

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Step-by-step explanation:

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3 years ago
A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each pris
elena-s [515]

The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

<h3>How to determine the volume </h3>

Using the formula:

Volume = 3abh

Where a = apothem length

b = length of the side of the base

h =height of the prism

Substitute values from the diagram into the formula

Volume = 3 × 5 × 4.3 × 2

Volume = 129 in^3

Volume of the remaining cake

Volume = 3abh

Volume = 3× 5.2 × 4 × 6

Volume = 374. 4 in^3

Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

Learn about volume of a hexagonal prism here:

brainly.com/question/9647193

#SPJ1

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2 years ago
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Answer:

If, a = 2 and b = 3

<h3>Jada</h3><h3>10a + 1b = 7a + 5b  - 3a + 4b \\ 10(2) + 1(3) = 7(2) + 5(3) - 3(2) + 4(3) \\ 20 + 3 = 14 + 15 - 6 + 12 \\ 23 = 35 \\</h3>

It's not equivalent.

<h3>Diego</h3><h3>4a + 9b = 7a + 5b - 3a + 4b \\ 4(2) + 9(3) = 7(2) + 5(3) - 3(2) + 4(3) \\ 8 + 27 = 14 + 15 - 6 + 12 \\ 35 = 35 \\</h3>

It's equivalent.

The correct equation is 4a + 9b.

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3 years ago
Find the number of positive integral solutions of ABC=45.
irina [24]
45=1×5×9 so 45×1×1=45. 5×9×1=45. 9×5×1=45. 45×1×1=45 .and ,then 1×5×9=45 sooo if ABC are treated as identical variables number of solutions can be those 5 steps about to find all the number of positive integral solutions ...
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3 years ago
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