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Natalija [7]
2 years ago
13

Pls help I’ll give you 35 points Sina's goal is to exercise a

Mathematics
2 answers:
Usimov [2.4K]2 years ago
7 0

Answer:

26 minutes

Step-by-step explanation:

Since the mean is the average of all the number, we need to reach a total of 315 minutes for the entire week.

35+40+37+42+45+50=\\75+40+37+42+45+50=\\115+37+42+45+50=\\152+42+45+50=\\194+45+50=\\239+50=\\289

Since 315 - 289 = 26, she needs to exercise for 26 minutes on the 7th day in order to reach her goal.

ch4aika [34]2 years ago
5 0

Answer:

<h2>26 minutes</h2>

Step-by-step explanation:

<h3>Let; x be the minutes exercised on the seventh day .</h3>

<h3>30 + 40 + 37 + 42 + 45 + 50 + x ÷ 6 = 45</h3>

<h3>244 + x ÷ 6 = 45</h3>

<h3>Now; the least common multiple is 6 </h3>

<h3>So; multiplying 6 with both sides.</h3>

<h3>6 * 244 + x ÷ 6 = 45 *6</h3>

<h3>244 + x = 270</h3>

<h3>Making x the subject</h3>

<h3>x = 270 - 244</h3>

<h3>x = 26</h3>

<h3>Therefore Sina must exercise for 26 minutes on the seventh day in order to reach her goal exactly.</h3>

<h2>Note:</h2>

<h3>Mean is given by adding of numbers given divided by the number of numbers .</h3>

<h3>Example.</h3><h3>Find the mean of 2,4,3</h3><h3>so;we have 3 numbers</h3><h3>adding numbers = 2 + 4 + 3÷3 = 9÷3 = 3 </h3><h3>therefore the mean is 3 .</h3>

<h3>So; with your question the mean is already given but left with one digit which is the 26 .Hence,you have to represent it by a variable and equate it to the mean given.</h3><h3>with change of subject and further calculation , you will get the result which is the 26 minutes</h3>
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The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

A=w\cdot l

For our rectangle w=12 in and l=20 in, the area is:

\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

A=\frac{b\cdot h}{2}

For our triangle, the base is b=4in and the height is h=6in, then the area is:

\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}

The area of the figure is 228in²

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1 year ago
50 points! Look at the picture attached. I will mark brainliest
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netineya [11]

Answer:

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3 years ago
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FinnZ [79.3K]

Answer:

\boxed{(\frac{3}{2} ,-1)}

Step-by-step explanation:

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The -4x and 4x are opposites, so they cancel out.

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The final answer is x=\frac{3}{2} ,~y=-1.

(\frac{3}{2} ,-1)

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