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harina [27]
3 years ago
13

Randomly distributing 45 pencils and 35 markers to his students. what is the probability that the first item he hands out will

Mathematics
1 answer:
Dominik [7]3 years ago
3 0
If he hands out pencils will be 45/80 =
If he hands out markers will be 35/80
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-2x-y=-9<br> 5x-2y=18<br> substitution
KIM [24]
-2x-y=-9 \\&#10;5x-2y=18 \\ \\&#10;\hbox{solve the first equation for y:} \\&#10;-2x-y=-9 \ \ \ |+2x \\&#10;-y=-9+2x \ \ \ |\times (-1) \\&#10;y=9-2x \\ \\&#10;\hbox{substitute 9-2x for y in the second equation:} \\&#10;5x-2(9-2x)=18 \\&#10;5x-18+4x=18 \\&#10;9x-18=18 \ \ \ |\div 9 \\&#10;x-2=2 \ \ \ |+2 \\&#10;x=4 \\ \\&#10;y=9-2x=9-2 \times 4=9-8=1 \\ \\&#10;\boxed{(x,y)=(4,1)}
6 0
3 years ago
Read 2 more answers
What expression is equavalent to -72x+60
lozanna [386]
-36x+30

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8 0
3 years ago
Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.​
vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}

\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}

4 0
2 years ago
Solve for x: one over five (5x + 12) = 18 (2 points)
Usimov [2.4K]
If you mean the equation 1/5 (5x +12) =18 then your answer would be x=15.6 or in the exact form of 78/5

Explanation : Start off with distributive property 1/5•5x and 1/5 •12, your equation should end up with 1x +2.4 =18 continue by using the 2.4 and doing the opposite, you will have 1x+2.4-2.4=18-2.4, after calculation you will have 1x=15.6 ,you can finish there or you can divide the 15.6 by one witch is still 15.6 , therefore getting your answer that is x=15.6
8 0
3 years ago
4. Sam's parents are teachers who commute 45 miles roundtrip to work 5 2 days a week. His parents spend $38 on gasoline each wee
Marat540 [252]
<h2>Answer:</h2><h2>The correct option is d. (i) and (ii)</h2>

Step-by-step explanation:

The total miles covered per day = 45

No of commuting days in a week = 5

Total miles in a week = 45 * 5 = 225

The total amount spent on gasoline = $ 38

Cost of gasoline per gallon = $ 2.48

The number of gallons consumed per week = \frac{38}{2.48} = 15.32 gallons of gasoline per week.

This confirms (ii) statement

The amount spend on gasoline per mile = \frac{38}{225} = $0.17

This confirms (i) statement

The number of miles per gallon of gasoline = \frac{225}{15.32} = 14.68 miles

The statement (iii) is false.

7 0
3 years ago
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