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777dan777 [17]
3 years ago
5

It costs $0.05 to send a text message and $0.10 to send a picture on your cell phone. You spend $4 and send five more text messa

ges than pictures. How many text messages, x, and pictures, y, did you send?
Mathematics
1 answer:
vovangra [49]3 years ago
8 0
The first thing we must do for this case is to define variables:
 x: text messages
 Y: pictures
 We write the system of equations:
 0.05x + 0.10y = 4
 x = y + 5
 Solving the system we have:
 x = 30
 y = 25
 Answer:
 
you send:
 
30 text messages
 
25 pictures
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The coordinates of which point are (–3, –6)? On a coordinate plane, point A is (negative 3, 6), point B is (negative 6, negative
lana [24]

Given:

The coordinates of a point are (-3,-6).

To find:

The point on the coordinate plane whose coordinates are (-3,-6).

Solution:

From the given information of coordinate plane, it is clear that

Coordinates of point A are (-3, 6).

Coordinates of point B are (-6,-3)

Coordinates of point C are (-3,-6)

Coordinates of point D are (3,-6)

It is clear that, only point C has coordinates (-3,-6).

So, the required point is C.

Therefore, the correct option is C.

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3 years ago
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A sector with a radius of 15 cm has a central angle measure of 8π/5 what is the area of the sector
Inessa05 [86]

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360   × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm  and angle Ф = 8π/5

area of sector = 1/2 × r² × Ф  

                         =1/2 × 15² ×  8π/5

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area of the sector = 360π cm²

8 0
3 years ago
Identify the​ vertex, the axis of​ symmetry, the maximum or minimum​ value, and the range of the parabola for y=x^2+6x+13
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Answer:


Step-by-step explanation:

First we can determine the x value of our vertex via the equation:

x=\frac{-b}{2a}

Note that in general a quadratic equation is such that:

ax^2+bx+c

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.

Therefore we can determine the x component of the vertex by plugging in the values known and so:

x=\frac{-b}{2a}=\frac{-6}{2(1)}=\frac{-6}{2}=-3

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

f(x)=x^2+6x+13\\\\f(-3)=(-3)^2+6(-3)+13\\\\f(-3)=4

Therefore our vertex is (-3,4).  Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

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Similarly, the y-component of our vertex is the minimum or maximum.  In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the  minimum is:

y=4

The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:

Range = All real numbers greater than or equal to 4.

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