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2 years ago

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HELP MATH QUESTION GEOMETRY

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Ludmilka [50]2 years ago

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What is 12/7 please help and i will be very happy

Anvisha [2.4K]

Answer:

12/7 is a improper fraction

Step-by-step explanation:

as a decimal it is 1.71428571429 and as a mixed number it is 1 5/7

6 0

2 years ago

Read 2 more answers

For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.

Flauer [41]

$\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\$

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$\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276$

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$\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}$

8 0

2 years ago

What was the total production of gasoline and kerosene combined (in Barrels)

Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

<em>44.4 million barrels of gasoline and kerosene are produced</em>

Let

<em /> $x \to$ <em> Proportion of kerosene</em>

<em /> $y \to$ <em> Proportion of Gasoline</em>

<em />

So:

$x = 40\%$

$y = 34\%$

$Total = 60\ million$ ---- total barrels produced

The amount of Kerosene produced is:

$Kerosene =x \times Total$

$Kerosene =40\% \times 60\ million$

$Kerosene = 24\ million$

The amount of Gasoline produced is:

$Gasoline =y \times Total$

$Gasoline =34\% \times 60\ million$

$Gasoline =20.4\ million$

So, the total production of both is:

$Total = Kerosene + Gasolene$

$Total = 24\ million + 20.4\ million$

$Total = 44.4 million$

<em>Hence, 44.4 million barrels of gasoline and kerosene are produced</em>

Read more about equations at:

brainly.com/question/21105092

8 0

2 years ago

The slope of a line is 5 /7. What is the slope of any line that is perpendicular to that line?

Lady bird [3.3K]

Answer:

-7/5

Step-by-step explanation:

The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line. so just switch the numbers and put the top number into a negative.

4 0

3 years ago

CDEF is kite and m A. 14 <br> B. 56 <br> C. 28 <br> D. 62

brilliants [131]

Answer:

Step-by-step explanation:

56

8 0

2 years ago