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Julli [10]
3 years ago
5

In a recent​ survey, two-thirds of the 234 students in a freshman class said they watch television shows on their computer. Dete

rmine the correct arithmetic​ set-up for determining how many students watch television shows on their computer
Mathematics
1 answer:
Mkey [24]3 years ago
3 0
All you would have to set up is 234  x  2/3
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When 12 is multiplied by 6, the result is what?
Alina [70]
The result would be 72... 12
                                        x6
                                        ----
                                         72   (carry the one) Unless your figuring out if its positive or negative. (positive)

Have a Brainly Day!
5 0
3 years ago
Read 2 more answers
Write the equation in slope-intercept form through the point (-5, 3) and is perpendicular to the line y = 2x - 3 and graph​
xxTIMURxx [149]

Slope intercept form: y = mx + b

When a line is perpendicular to another line, its slope is the negative reciprocal to that slope.

From this information, we already know that the slope of our new line is -1/2, because -1/2 is the negative reciprocal to 2 (which is the slope of the original line).

y = -1/2x + b

Because the point (-5,3) is given, we can simply plug the x and y coordinates into our incomplete equation.

3 = -1/2(-5) + b

3=2.5 + b

b = 0.5

ANSWER: y = -1/2x + 0.5

THE GRAPH IS LINKED; RED LINE IS y=2x-3 AND BLUE LINE IS y=-1/2x + 0.5

5 0
3 years ago
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}\\\\

.

\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

.

\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
3 years ago
QUIZ<br> Find the volume of the square pyramid.<br> 9 cm<br> 4 cm
kari74 [83]

Answer:

SEE BELOW

Step-by-step explanation:

V=a²h/3
=9² x 4/3
= 81 x 4/3
= 27 x 4
= 108 cm³

5 0
2 years ago
A trapezoid has a base of two and six and an area of 24 square units. What is the height?
Nezavi [6.7K]

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h

8 0
3 years ago
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