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3 years ago

Miss siegel’s class has 18 girls and 12 boys. What is the ratio of girls to boys?

Mathematics

2 answers:

alexgriva [62]3 years ago

4 0

Answer:

3:2

Step-by-step explanation:

girls: boys

18 : 12

Divide each side by 6

18/6 : 12/6

3 : 2

Bond [772]3 years ago

4 0

Answer: 18 girls to 12 boys

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Let's write the ratio using the word "to."

Since there are 18 girls and 12 boys,

we can write this as 18 girls to 12 boys.

So this would be our answer.

However, this can be reduced to 3 girls to 4 boys.

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Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl

Vikki [24]

Answer:

Height: 3/2 inches

Length: 12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

The new length of the cardboard = 15 -2x (because we cut from 4 corners)
The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = $4x^3 -44x^2 +105x$

To maximum volume, we use the first derivative of the volume

$\dfrac{dV}{dx} = 0$

<=> $12x^2-88x+105=0$

<=> $\left(2x-3\right)\left(6x-35\right) = 0$

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

$\dfrac{d^2V}{dx^2}$ = 24x -88

If x = 3/2, we have:

$\dfrac{d^2V}{dx^2}$ = 24(3/2) -88 = -52

If x = 35/6, we have:

$\dfrac{d^2V}{dx^2}$ = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0

3 years ago

What is the solution of the equation below?<br> x² - 4= - 5

madam [21]

Answer:

Not possible to work out

Step-by-step explanation:

NO Explanation can be explained as this question cannot be solved

8 0

2 years ago

The tables show the battery lives (in hours) of two brands of laptops. Which brand's battery lives are more spread out? Explain

GalinKa [24]

Absolute Mad Deviation is used to see how spread out data is, you find the mean of data then subtract the mean from each number (absolute value) and then find the mean with the subtracted numbers.
Brand A MAD: 2.6925
Brand B MAD: 1.05
It’s Brand A :)

7 0

2 years ago

A test has 50 questions. each right answer is worth 2 points; each wrong answer deducts 0.5 points; blank answers are not counte

mestny [16]

ANSWER: There are 2 blank answers

EXPLANATION

Let

The number of right answers be ‘r’

The number of wrong answers be ‘w’

The number of blank answers be ‘b’

r + w + b = 50

This means r + w ≤ 50

Then we know,

Right answers = 2 marks

Wrong answers = -0.5 mark

Blank Answers = 0 marks

2r – 0.5w = 88.5

2r = 88.5 + 0.5w … (Equation I)

Since the score as .5, we know that there is at least one wrong answer, and the number of wrong answers is an odd number.

Since the score is 88.5, and each right answer gives 2 marks

There are at more than 44 (i.e. 88/2) right answers

Since r + w ≤ 50, and possible values of w are odd numbers

If r = 45, Possible values of w are 1, 3, and 5

If r = 46, Possible values of w are 1, 3

If r = 47, Possible values of w are 1, 3

If r = 48, The only possible value of w is 1

If r = 49,The only possible value of w is 1

Since 2r = 88.5 + 0.5w (Equation I)

We test for possible values:

If r = 45

2r = 88.5 + 0.5w

2(45) = 88.5 + 0.5w

90 = 88.5 + 0.5w

0.5w = 90 – 88.5

0.5w = 1.5

w = 3

So,

If there are 45 right answers

There are 3 wrong answers

r + w + b = 50

45 + 3 + b = 50

48 + b = 50

b = 50 – 48

b = 2

Then, there are 2 blank answers.

If r = 46

2r = 88.5 + 0.5w

2(46) = 88.5 + 0.5w

92 = 88.5 + 0.5w

0.5w = 92 – 88.5

0.5w = 3.5

w = 7

So,

If there are 46 right answers

There are 7 wrong answers

We know that r + w ≤ 50

46 + 7 = 53

So 46 and higher numbers are not possible solutions.

The only possible solution is:

There are 45 right answers

There are 3 wrong answers

<span>There are 2 blank answers</span>

6 0

3 years ago

suppose six of these people are men, and the other six are women. in how many ways can they join hands for a circle dance, assum

Drupady [299]

Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle

Answer:

86400 ways

Step-by-step explanation:

Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.

Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.

After picking the places for the women, we will now fill each gap between two women with a man.

We have 6 men. Thus, number of ways to arrange the men is 6!

Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways

8 0

3 years ago