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aleksandr82 [10.1K]

3 years ago

14

A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call. Which numerica

l expression can be used to find the cost of a 20-minute phone call?

2 answers:

Vinvika [58]3 years ago

8 0

0.45+19(0.35)

Total cost $7.10 (0.45+6.65)

AnnZ [28]3 years ago

8 0

Answer:

Total cost for 20 minutes = $0.45 + $0.35 * 19.

Step-by-step explanation:

Given : A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call.

To find : Which numerical expression can be used to find the cost of a 20-minute phone call.

Solution : We have given

Company charge for 1 minute = $0.45 .

For other minutes = $0.35 .

Total minutes he called = 20 minutes

Cost of 1 minute call = $0.45 .

Cost of 19 minutes call = $0.35 * 19.

Total Cost for 20 minute = Cost of 1 minute + Cost pf 19 minutes.

Total cost for 20 minutes = $0.45 + $0.35 * 19.

Therefore, Total cost for 20 minutes = $0.45 + $0.35 * 19.

You might be interested in

Please help me explain as well. AD is 48. I will give brainliest.

otez555 [7]

Answer:

The area of the rectangle is 48

Step-by-step explanation:

We know that AE is 6 and ED is 8, since it forms a triangle, use the Pythagorean theorem to find AD, which is one side of the rectangle.

The Pythagorean theorem says that a^2 + b^2 = c^2.

a is AE, b is ED, and c is AD, so 6^2 + 8^2 = c^2, 36 + 64 = c^2, 100 = c^2, 10 = c, so AD is 10

The area of the triangle is half of AE times ED, so 1/2(6)(8) = 1/2(48) = 24, the area of the triangle is 24.

Since the area of a triangle is 1/2 of the base times the height, we can figure out the height:

A = 1/2bh, 24 = 1/2(10)h, 24 = 5h, 4.8 = h, so the height of the triangle (and rectangle) is 4.8.

The height of the triangle is also the height of the rectangle:

The area of the rectangle is 4.8*10 = 48

8 0

3 years ago

2. Draw the image of RST under the dilation with scale factor 2/3 and center of dilation (1,-1). Label the image RST .

professor190 [17]

Answer:

From the graph: we have the coordinates of RST i.e,

R = (2,1) , S = (2,-2) , T = (-1,-2)

Also, it is given the scale factor $\frac{2}{3}$ and center of dilation C (1,-1)

The mapping rule for the center of dilation applied for the triangle as shown below:

$(x, y) \rightarrow (\frac{2}{3}(x-1)+1, \frac{2}{3}(y+1)-1)$

or

$(x, y) \rightarrow (\frac{2}{3}x -\frac{2}{3}+1 , \frac{2}{3}y+\frac{2}{3}-1)$

or

$(x, y) \rightarrow (\frac{2}{3}x+\frac{1}{3} , \frac{2}{3}y-\frac{1}{3} )$

Now,

for R = (2,1)

the image R' = $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(1)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{2}{3}-\frac{1}{3} )$

⇒ R' = $(\frac{5}{3} , \frac{1}{3})$

For S = (2, -2) ,

the image S'= $(\frac{2}{3}(2)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{4}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ S' = $(\frac{5}{3} , -\frac{5}{3})$

and For T = (-1, -2)

The image T' = $(\frac{2}{3}(-1)+\frac{1}{3} , \frac{2}{3}(-2)-\frac{1}{3} )$ or

$(\frac{-2}{3}+\frac{1}{3} , \frac{-4}{3}-\frac{1}{3} )$

⇒ T' = $(\frac{-1}{3} , \frac{-5}{3})$

Now, label the image of RST on the graph as shown below in the attachment:

5 0

3 years ago

On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug

serg [7]

The statements true about the the function f(x) = 2x2 – x – 6 are-

The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.

<h3>What is vertex of parabola?</h3>

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

b = -1

c = -6

Now, x-coordinate of vertex is given as,

x = -b/2a

put the values we get,

x = -(-1)/2*2

or, x = 1/4

Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

= -49/6

= -6 1/8

Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-

The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.

More about vertex :

brainly.com/question/86393

#SPJ1

3 0

1 year ago

A ball is drawn at random from a box containing 12 red,18

Lubov Fominskaja [6]

<u>Answer:</u>

<u>For a:</u> The probability of getting a red or blue ball is 0.48

<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81

<u>For c:</u> The probability of getting neither white or orange ball is 0.48

<u>Step-by-step explanation:</u>

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$ .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

<u>For a:</u>

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48$

<u>For b:</u>

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81$

<u>For c:</u>

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52$

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0

2 years ago

Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!

LekaFEV [45]

The piece-wise linear functions can be written as follows:

$f(x) = x, x \leq -2$ .

$f(x) = -x - 7, -2 < x \leq 1$ .

$f(x) = 2x - 9, x > 1$ .

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

$f(x) = x, x \leq -2$ .

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

$f(x) = -x - 7, -2 < x \leq 1$ .

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

$f(x) = 2x - 9, x > 1$ .

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0

2 years ago