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3 years ago

A voucher code is made

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

E. 2700.

Step-by-step explanation:

There are 3 possible values for the first digit ( V, X or P)

The second and third have 10P2 = 10!/(10-8)! = 90 possible values.

The third digit - there are 10 possibilities

So the answer is 3 * 90 * 10

= 2700.

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Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy

MaRussiya [10]

Answer:

The cost of each notebook is $3 and the cost of each thumb drive is $14.

Step-by-step explanation:

In order to solve this question we will attribute variables to the notebook and thumb drive. The price of a notebook we will call "x" and the price of a thumb drive will be "y". We now can create equations that represents the total amount spent by each person on these items. To do that we need to take the amount of each item that was bought and multiply it by it's price.

For Troy:

4*x + 6*y = 96

For Lisa:

2*x + 4*y = 62

We now have a system of equations and we can solve them by isolate one of he variables in one of the equations and using that value on the other. Using the second equation we have:

2*x + 4*y = 62

4*y = 62 - 2*x

y = 15.5 - 0.5*x

Using this expression on the first equation:

4*x + 6*(15.5 - 0.5*x) = 96

4*x + 93 - 3*x = 96

x = 96 - 93 = 3

We can now find the value of y:

y = 15.5 - 0.5*(3) = 14

The cost of each notebook is $3 and the cost of each thumb drive is $14.

7 0

3 years ago

What is 2/4 written as a fraction

dusya [7]

1/2 because it becomes simplified

6 0

3 years ago

Read 2 more answers

The directex of Y=1/8x^2 is?

nexus9112 [7]

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})} \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
y=\cfrac{1}{8}x^2\implies (y-0)=\cfrac{1}{8}(x-0)^2\implies 8(y-0)=(x-0)^2
\\\\\\
4(2)(y-0)=(x-0)^2\impliedby \textit{that means, p = 2}$

so... if you notice, the vertex is at h,k and that'd be the origin, 0,0

so...since the directrix is "p" units from the vertex, so it'd be 2 units from 0,0

now, the parabola has an equation with a positive leading term's coefficient, namely the 1/8 is positive, thus, the parabola is opening upwards, and the directrix is "outside" the parabola, so is below the vertex

that puts the directrix 2 units below 0,0

y = -2

6 0

3 years ago

What is the slope of the line that passes through the points (-8, -1)

vaieri [72.5K]

The slope is -1/2

Step by step

1) formula m=y2-y1/x2-x1

2) slope equals = -1+2/-8+6

3) 1/-2

4) answer is -1/2

3 0

3 years ago