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katen-ka-za [31]
3 years ago
12

The scale on a map says that 6 cm represents 15 km. What distance on the map in centimeters represents 20 kilometers?

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

8 centimeters.

Step-by-step explanation:

6cm\ on\ map\ -> 15km\\

Divide 3 both sides:

2cm\ on\ map\ -> 5km

Multiply 4 on both sides:

8cm\ on\ map\ -> 20km

8cm on the map represents 20km.

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determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2
LuckyWell [14K]
Hmmm the y-intercept is at -2?  what does that mean?  well, is where the graph "intercepts" or touches the y-axis, and when that happens, x = 0, so the point is really ( 0 , -2 ).

and we know where the vertex is at.  Let's assume a vertical parabola, in which case the squared variable is the "x".

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex
\begin{cases}
h=1\\
k=-3
\end{cases}\implies y=a(x-1)^2-3
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=0\\
y=-2
\end{cases}\implies -2=a(0-1)^2-3
\\\\\\
1=a(-1)^2\implies \boxed{1=a}\qquad thus\implies 
\begin{cases}
y=1(x-1)^2-3\\
\textit{or just}\\
y=(x-1)^2-3
\end{cases}
6 0
3 years ago
If one tablet contains 10.5 mg of calcium. how much does a bottle of 20 tablets contain of calcium?
alexandr1967 [171]
You multiply 10.5 by 20 and get 210, that is your answer.
5 0
3 years ago
Read 2 more answers
A police officer is chasing a purse-snatcher down a street. The thief starts 9 meters ahead of the officer and can run 20 meters
lions [1.4K]

Answer:

If you want them at the same exact point then since the theif is 9 steps ahead it

will take 3 seconds

Step-by-step explanation:

Robber:

<em>starts at 9</em>

<em>starts at 9add on 5 and you get 14</em>

<em>starts at 9add on 5 and you get 14add 5 more you get 19</em>

<em>starts at 9add on 5 and you get 14add 5 more you get 19and another 5 would give you 24</em>

Police:

<em>is</em><em> </em><em>at</em><em> </em><em>0</em><em> </em><em>meters</em><em> </em>

<em>add</em><em> </em><em>8</em><em> </em><em>any</em><em> </em><em>you</em><em> </em><em>get</em><em> </em><em>8</em>

<em>add</em><em> </em><em>8</em><em> </em><em>more</em><em> </em><em>and</em><em> </em><em>you</em><em> </em><em>get</em><em> </em><em>1</em><em>6</em>

<em>and</em><em> </em><em>another</em><em> </em><em>8</em><em> </em><em>would</em><em> </em><em>get</em><em> </em><em>you</em><em> </em><em>to</em><em> </em><em>2</em><em>4</em>

6 0
3 years ago
10 people who build at the same rate can frame a house in 6 days. What fractional part of a house can 4 people frame a house in
Alina [70]

10 people who build at the same rate can frame a house in 6 days. That means it will take one person 10\times6=60 days to finish the house.

Which means that it will take 4 people \frac{60}{4}=15 days to finish the house.

So, the fractional part of the house 4 people can frame in 3 days will be \frac{3}{15}=\frac{1}{5}

Thus, Option D is the correct answer.

8 0
3 years ago
8 min left please help
dolphi86 [110]

answer for this question is 4 x^ 3 Y ^4 root x

5 0
3 years ago
Read 2 more answers
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