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mojhsa [17]
3 years ago
6

Which ordered pair is a solution to this equation?

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0

Answer: c

Step-by-step explanation:

(5,2)

2(5)+3(2)=16

10+6=16

16=16

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I need help with this question to turn it into an equation. The question is
SVEN [57.7K]
Sure, here is how I broke it down. The bird is flying a constant X miles per hour with a wind speed of Y miles per hour. So, there are two equations that you use to solve. Here they are:

X+Y=12
X-Y=4

Now, you have to use substitution or elimination to solve (I will use elimination). To use elimination, you simply add both equations together to get:

2X=16
Solve for X by dividing by 2.

X=8. We already established that X is the speed of the bird. Plug X back into either of the equations to find the windspeed.

(8)+Y=12

Subtract 8 from both sides.

Y=4. We already established that Y is the windspeed.

So, the speed of the bird (X) is 8mph and the speed of the wind (Y) is 4mph.

Hope this helped!!
7 0
4 years ago
It costs $107 for 10 students and $137 for 15 students. How much does it cost for 12 students?
Anestetic [448]
\bf \begin{array}{ccccccccc}
&&\stackrel{students}{x_1}&&\stackrel{price}{y_1}&&\stackrel{students}{x_2}&&\stackrel{price}{y_2}\\
%  (a,b)
&&(~{{ 10}} &,&{{ 107}}~) 
%  (c,d)
&&(~{{ 15}} &,&{{ 137}}~)
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{137-107}{15-10}\implies \cfrac{30}{5}\implies \cfrac{6}{1}\implies 6

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-107=6(x-10)
\\\\\\
y-107=6x-60
\implies 
y=6x+47\\\\
-------------------------------\\\\
\textit{how much will it be for }\stackrel{x}{12~students?}\qquad y=6(12)+47
7 0
3 years ago
What is the volume of the prism
pickupchik [31]

Answer:

100 yd^3

Step-by-step explanation:

The formula vor value of prisma is

V=abc, where a=10, b=2 and c=5

V=10*2*5=100 yd^3

3 0
3 years ago
In a company there are 33 male and 42 female staff. Calculate the percentage of male and female staffs
VMariaS [17]

Answer: 44%, 56%

Step-by-step explanation:

Given

A company has 33 males and 42 female staff

So, the total staff is the sum of male and female

\Rightarrow \text{Total=}33+42\\\Rightarrow \text{Total=}75

The percentage of male staff is

\Rightarrow \text{Male }\%=\dfrac{33}{75}\times 100\\\\\Rightarrow  \text{Male }\%=44\%

The percentage of female staff is

\Rightarrow \text{female }\%=\dfrac{42}{75}\times 100\\\\\Rightarrow  \text{female }\%=56\%

7 0
3 years ago
Which equation represents a line which is parallel to the line 2x+5y=-35? ( see choices )
Bas_tet [7]
I honestly think B but I'm not sure
5 0
3 years ago
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