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qaws [65]
3 years ago
15

In how many ways can four students line up at a bus stop?

Mathematics
2 answers:
Katen [24]3 years ago
5 0

Answer:

132 diffrent possiblities

Step-by-step explanation:

Naddik [55]3 years ago
4 0

Answer:

24

Step-by-step explanation:

Statistically... this is just a permutation of 4

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Solve and check 5(g - 5) - (5 - g) =12. show work
aleksandrvk [35]

5 (g-5) - (5-g) = 12\\5g - 25 -5 +g =12\\6g -30 = 12\\6g = 42\\g =  7


Check:

5(7-5) - (5-7) = 5 (2) - (-2) = 10 + 2 = 12

6 0
3 years ago
Which of the following is the solution to the inequality below -6(4-x)<-4(x+1)
Solnce55 [7]

-6(4-x) < -4(x+1)\ \ \ \ \ |\text{use distributive property}\\\\(-6)(4)+(-6)(-x) < (-4)(x)+(-4)(1)\\\\-24+6x < -4x-4\ \ \ \ \ \ |+24\\\\6x < -4x+20\ \ \ \ |+4x\\\\10x < 20\ \ \ \ \ |:10\\\\\boxed{x < 2}\\\\Answer:\ B.\ x < 2

4 0
3 years ago
The line y =3x-5 meet x-axis at the point M.
dusya [7]

y = 3x - 5 meets the x-axis at the x-intercept, and that happens when y = 0


\bf \stackrel{y}{0}=3x-5\implies 5=3x\implies \cfrac{5}{3}=x~\hspace{5em}\stackrel{M}{\left( \frac{5}{3},0 \right)}


3y + 2x = 2, meets the y-axis when x = 0, and that'd be the y-intercept


\bf 3y+2(\stackrel{x}{0})=2\implies 3y=2\implies y=\cfrac{2}{3}~\hspace{5em}\stackrel{N}{\left( 0,\frac{2}{3} \right)}


so let's find the equation of the line with points M and N in standard form, bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient


\bf M(\stackrel{x_1}{\frac{5}{3}}~,~\stackrel{y_1}{0})\qquad N(\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{2}{3}}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{~~\frac{2}{3}-0~~}{0-\frac{5}{3}}\implies \cfrac{2}{3}\cdot -\cfrac{3}{5}\implies -\cfrac{2}{5}


\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=-\cfrac{2}{5}\left( x-\cfrac{5}{3} \right)\implies y=-\cfrac{2}{5}x+\cfrac{2}{3} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15y=-6x+10}\implies \stackrel{\textit{standard form}}{6x+15y=10}\implies 6x+15y-10=0

3 0
3 years ago
Which shape is an equivalent fraction to this fraction? 3/4<br><br> 10/14<br> 7/8<br> 6/8<br> 4/7
Pavlova-9 [17]

Answer:

6/8

Step-by-step explanation:

3/4

Multiply by 2/2

3/4 *2/2 = 6/8

3 0
3 years ago
What is the gcf of 90,10
e-lub [12.9K]
<span><span>10:   2, 5      </span><span>90:   23, 35      </span><span>GCF:   2  5</span></span>
6 0
3 years ago
Read 2 more answers
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