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NeX [460]
3 years ago
11

Each lap around Spring Reservoir is 2 3/8 miles long. Terrence walked 2 1/2 laps around the Reservoir. How many miles did Terren

ce walk?
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0
Namely, how much is 2 and 1/2 of 2 and 3/8 then, well is just their product, let's first convert them both from mixed to "improper" and proceed.

\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}
\\\\\\
\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\
-------------------------------\\\\
\stackrel{laps~done}{\cfrac{5}{2}}\cdot \stackrel{\textit{miles in a lap}}{\cfrac{19}{8}}\implies \cfrac{95}{16}\implies \stackrel{miles}{5\frac{15}{16}}
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Multiplying (-9)(-6)(2)=
yawa3891 [41]

Answer:

108

Step-by-step explanation:

3 0
3 years ago
С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
2 years ago
What is the value of 948 x 10²?<br><br>A. 9.58<br>B. 95.8<br>C. 9,580<br>D. 95,800​
Rasek [7]
The answer is 94800
8 0
2 years ago
Read 2 more answers
8.35x - 1.5 = 71.98<br> (a) 8.6<br> (b) 8.8<br> (c) 9<br> (d) 10.3
prisoha [69]
<h3>  Hola! :D ¡te invito a recibir ayuda de un latinoamericano puto!</h3><h2><u> _____________________________________ </u></h2><h2>                        8.35x - 1.5 = 71.98</h2><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                           <u>El -1,5 qlero pasaría al otro lado positivo</u>

<h3>                                     8.35x = 71.98 + 1.5</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                              <u>Ahora, se suma 71.98 + 1.5 = 73,48</u>

<h3>                                         8.35x = 73,48</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

    <u>El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo</u>

<h3>                                       x = 73,48 ÷ 8.35</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

                                                    <u>Dividimos</u>

<h3>                                               x = 8,8</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2><h2>                 <u>(b) 8,8</u>  es la opción correcta</h2>
3 0
2 years ago
Is my answer correct? Look in photo. If it is wrong please tell me how to fix it.
Irina18 [472]

Answer:

Table A is proportional-Your answer is correct.

Step-by-step explanation:

8 0
2 years ago
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