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Daniel [21]
3 years ago
13

A packet contains 24 pens. Henry and Alice share them in the ratio 3:5. How many does Alice receive

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
Alice receives 9 out of the 24 pens.
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4. Laura rents a moving truck for a flat fee of $15.00 plus an additional $0.25 for
Kobotan [32]

Answer:

15.00+(0.25)x=c

Step-by-step explanation:

15.00+(0.25)x=c  15 is the flat out fee plus the 0.25 times the amoutn f miles then add 15+ the miles and you get the answer

6 0
3 years ago
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Helppppppppp pleaseeeee
Luden [163]
4.83
8x-11=2x-7+25
8x=2x+29
6x=29
divide by 6 on both sides
x=4.833333333
3 0
3 years ago
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A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0). Which are the equations of the asymptotes? y
chubhunter [2.5K]
Well, we know is centered at the origing, thus h,k are just 0,0.

using the provided vertex and focus point, gives us a distance for "a" of 9 and a distance for "c" of 15, check the picture below.

\bf \textit{hyperbolas, horizontal traverse axis }\\\\
\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a,  k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2+ b ^2}\\
\textit{asymptotes}\quad  
y= k\pm \cfrac{b}{a}(x- h)
\end{cases}\\\\
-------------------------------

\bf \begin{cases}
a=9\\
c=15
\end{cases}\implies c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{15^2-9^2}=b\implies \sqrt{144}=b\implies \boxed{12=b}\\\\
-------------------------------\\\\
asymptotes\qquad y=0\pm\cfrac{12}{9}(x-0)\implies y=\pm\cfrac{4}{3}x

3 0
4 years ago
Read 2 more answers
Solve each system by elimination<br> 10) -4x+9y=9<br> x-3y=-6
Yakvenalex [24]
Multiply the second equation by 3
-4x+9y=9
3x-9y=-18
add the equations together
-x=-9 Simplify
x=9
now plug in your x value
(9)-3y=-6 Simplify
-3y=-6-9
-3y=-15
y=5
5 0
3 years ago
1.9s+6=3.1-s can you help me with this, thank you
Airida [17]
Steps:
1.9s + 6 = 3.1 - s
2.9s + 6 = 3.1
2.9s = -2.9
s = -1
8 0
3 years ago
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