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blsea [12.9K]
3 years ago
5

A family spends 1⁄10 of its annual income for housing, 1⁄4 for food and clothing, 1⁄5 for general expenses, and 2⁄15 for enterta

inment. What fractional part of their income is spent on these items altogether? A. 6⁄41 B. 1⁄7 C. 11⁄12 D. 41⁄60
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0
In order to make the whole problem easier, you would have to get all the numbers to have the same denominator which would be 60.

1/10 * 6 = 6/60
1/4 * 15 = 15/60
1/5 * 12 = 12/60
2/15 * 4 = 8/60

Now that all the numbers have the same denominator, you would add them to get 41/60.
In conclusion, the answer would be D.
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PLEASE HELP! Create a table of points from the equation f(x)=3x^2-8x+2. (I'll add a picture of the tables)
DochEvi [55]
<h3>Answer: Choice A</h3>

===============================================

Explanation:

If we replace x with 0, then we get...

f(x) = 3x^2-8x+2

f(0) = 3(0)^2 - 8(0) + 2

f(0) = 3(0) - 8(0) + 2

f(0) = 0 - 0 + 2

f(0) = 2

Showing that the input x = 0 leads to the output y = f(x) = 2

The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.

-----------

Let's plug in x = 1

f(x) = 3x^2-8x+2

f(1) = 3(1)^2 - 8(1) + 2

f(1) = 3(1) - 8(1) + 2

f(1) = 3 - 8 + 2

f(1) = -5 + 2

f(1) = -3

So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.

We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.

3 0
3 years ago
The Randall farm has 22.82 acres. The Schneider farm has 22 7 over 8 acres. which farm is larger?
Marysya12 [62]

let's convert the mixed fraction to improper fraction, and then check.


\bf \stackrel{mixed}{22\frac{7}{8}}\implies \cfrac{22\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{183}{8}}\stackrel{\textit{to decimal}}{\implies }183\div 8\implies 22.875 \\\\\\ \begin{array}{rrll} Randall&Schneider\\ \cline{1-2} 22.82&22.875\\ 22.820&\\ 820&875 \end{array}\impliedby \stackrel{\textit{so as you can see}}{820 < 875}\qquad \qquad \stackrel{therefore}{22.875 > 22.82}

3 0
3 years ago
The number of newly reported crime cases in a county in New York State is shown in
JulsSmile [24]

Answer:

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

Thus, the predicted number of new cases for 2013 is 1368.

8 0
3 years ago
The figure below is not drawn to scale. ABCD is a parallelogram, Find
Butoxors [25]

\angle BAD=100^{\circ} (opposite angles in a parallelogram)

\angle EAD=80^{\circ} (subtraction)

\angle ADE=65^{\circ} (angles in a triangle add to 180 degrees)

\angle CDA=80^{\circ} (adjacent angles in a parallelogram are supplementary)

\boxed{\angle CDE=15^{\circ}} (subtraction)

\angle CED=65^{\circ} (angles in a triangle add to 180 degrees)

\boxed{\angle AEB=80^{\circ}} (angles on a straight line add to 180 degrees)

4 0
2 years ago
A line passes through the point (4,9) and has a slope of 5/2.
kkurt [141]

Answer:

5/2

Step-by-step explanation:

BRAINLIEST

8 0
3 years ago
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