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3 years ago

ALGEBRA 1 ASSIGNMENT QUESTIONS

1 answer:

7 0

1. 81 1/2 = 163/2
2. 32 1/5 - 64 1/3 =
483/15 - 965/15 =
-482/15 or -32 2/15
3. 16 1/4 = 65/4
4. 49 1/2 + 27 1/3 =
99/2 + 82/3 =
297/6 + 164/6 =
461/6 or 76 5/6

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Add and reduce to lowest terms: 5 1/4+4 5/6

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Answer:

−6.7 + (−2 1/ 5 )

Step-by-step explanation:

−6.7 + (−2 1/ 5 )

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3 years ago

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Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the gre

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The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

<h3>How to factor the polynomial?</h3>

The expression is given as:

2x^2 + 4x + 3xy + 6y

Group the expression into two

[2x^2 + 4x] + [3xy + 6y]

Factor out each group

2x(x + 2) + 3y(x + 2)

Factor out x + 2

(2x + 3y)(x + 2)

Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

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2 years ago

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me

faust18 [17]

Answer:

Almost 2.5% of the students spent more than $275 in a semester.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 235

Standard deviation = 20

According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester?

95% of the measures are within 2 standard deviation of the mean. The other 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of those are below two standard deviations of the mean and 2.5% are more than two standard deviations above the mean.

235 + 2*20 = $275

Almost 2.5% of the students spent more than $275 in a semester.

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3 years ago

The area of a rectangle is (x3 – 5x2 3x – 15), and the width of the rectangle is (x2 3). if area = length × width, what is the l

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<span>area = length × width
</span>
(x³ – 5x²+ 3x – 15) = (x-5) <span>x (x²+3)

</span>
<span />

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3 years ago

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Greg just purchased a house for $450,000. His annual homeowners insurance premium is $0.42 per $100 of value. If his annual prem

sergij07 [2.7K]

Answer:

Grey have to pay $157.5 on monthly basis to keep his home insured.

Step-by-step explanation:

Grey purchased a house = $450,000

Annual Insurance premium = $0.42 per $100 of value.

We need to calculate monthly premium to pay such that home insured.

Now we calculate number of 100 in $450,000

Number of 100 = 4500

The premium value of 1 hundred = $0.42

Total value of 4500 hundred = 0.42 x 4500 = $1,890

Grey total premium in 1 year = $1,890

Now we find monthly premium

We know in 1 year total number of month is 12

In 12 month premium = $1,890

In 1 month premium = 1890÷12 = 157.5

Monthly premium for home insured = $157.5

Thus, Grey have to pay $157.5 on monthly basis to keep his home insured.

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3 years ago

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