Kala purchased a prepaid phone card for $25. Long distance calls cost 8 cents a minute using this card. Kala used her card only once to make a long distance call. If the remaining credit on her card is $21.48, how many minutes did her call last?

Answer:

(8, - 5 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 4 → (1)

- x - 3y = 7 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the x- term.

- 3x - 9y = 21 → (3)

Add (1) and (3) term by term to eliminate x, that is

0 - 5y = 25

- 5y = 25 ( divide both sides by - 5 )

y = - 5

Substitute y = - 5 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(- 5) = 4

3x - 20 = 4 ( add 20 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

solution is (8, - 5 )

sorry mine was a mistake

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

Answer:

51.9% increase

Answer:

The answer would be: 51.9% increase

Step-by-step explanation:

Have a blessed day

Answer:

2.8x - 7.56

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

Yes, it is a function

Step-by-step explanation:

the definition of a function is "a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." Our input is represented by x, or the first number in the parentheses, and our output is y, or the second number in the parentheses. Because each x value had exactly one output, or y, it is a function

Answer:

22 yards

Step-by-step explanation:

..

Answer:

20.487%

Step-by-step explanation:

divide the second number by the first. then do one minus that number

Step-by-step explanation:

can you send a picture so we can see at least?

Given:

The graph of a line which represents position (m) at time (s).

To find:

The slope of the line.

Solution:

Formula for slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through two points (0,0) and (1,4).

Using the above formula, we get

[tex]m=\dfrac{4-0}{1-0}[/tex]

[tex]m=\dfrac{4}{1}[/tex]

[tex]m=4[/tex]

Therefore, the slope of the line is  4 m/s.

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

2x⁴ = 9x²

2x⁴ - 9x² = 0

x²(2x² - 9) = 0

Either x² = 0 or 2x² - 9 = 0.

When x² = 0, x = 0.

When 2x² - 9 = 0, x² = 9/2, x = ± 3/√2.

Hence the solutions are

x = 0, x = 3/√2 and x = -3/√2.

Answer:

The angle is 90 degrees

Step-by-step explanation:

Is that what ur asking?

Answer: 15.199

Step-by-step explanation:

Using the Pythagorean theorem, we know that a²+b²=c²

In this case, we know that c is 16, and that b is 5.

We can rearrange the equation so that it becomes a²=c²-b²

a²=16²-5²

a²=256-25

a²=231

√a²=√231

a=15.199

Answer:

$25.00+$36.00m

Step-by-step explanation:

Answer:

1: So one side is 5

2: Other side is 2

Step-by-step explanation:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

Answer:

137

Step-by-step explanation:

Answer:

Step-by-step explanation:

We see that the function has positive range and no restriction of domain.

A The range is the set of all real numbers less than 0.

B The domain is the set of all real numbers greater than-4.

C The range is the set of all real numbers greater than 0.

D The domain is the set of all real numbers less than-4.

Answer:

C is the correct answer!!

Step-by-step explanation:

hope this helped!!

Answer:qe

Step-by-step explanation:

The volume of the baseball is 14 in³.

The volume of a sphere can be calculated using the formula:

V = (4/3)πr³

where V is the volume and r is the radius of the sphere.

We have,

Diameter = 3 inch

radius = diameter / 2 = 3 / 2 = 1.5 inches

Substituting the radius into the volume formula:

V = (4/3) π (1.5)³

V ≈ (4/3) x 3.14 x (1.5)³

V ≈ 14.13 in³

Thus, the volume of the baseball is 14 in³.

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Answer:

I believe it's B correct me if I'm wrong

Answer:

C.    51.75 km2, 68.75 km2

Step-by-step explanation:

Answer:

1,423

Step-by-step explanation:

Your average rate is 36.7 miles per hour over nine hours

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.

You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour

So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.

Learn more about the average speed here :

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Answer:

Please put the rest of the answer

Step-by-step explanation:

Answer: 7?

Step-by-step explanation:

Answer: y=-4x+1

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:

4x+y=1

(4x+y)-4x=1-4x

y=1-4x

y=-4x+1

Answer:

A.what was the total number of college students?

B.42%,8.9

C.multiplacation

D. 0.42x8.9=N

E. 0.42×8.9=3,738,000

F.Round your answer to the nearest million.

4,000,000

G. 4,000,000 Is the total number of collage student

I'm just A Beginner｡◕‿◕｡

Answer:

21 million college students

The required value of the given percentage is 16. "125%" represents 125 parts out of 100, which is equivalent to 1.25 times the original value.

To find 125% of 12.8, we can multiply 12.8 by 1.25.

First, we convert the percentage to decimal form by dividing it by 100. So, 125% becomes 1.25.

Next, we multiply 12.8 by 1.25:

12.8 × 1.25 = 16.

Therefore, 125% of 12.8 is 16.

Multiplying 12.8 by 1.25 increases it by 25% or adds one-quarter of the original value. Thus, the result of 16 represents an increase of 25% from 12.8.

Thus, the required value of the given percentage is 16.

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Answer:

c took quiz

Step-by-step explanation:

Circle A can be made similar to circle B by dilating circle A by scale factor 4.

Circles can be made similar by performing transformations such as dilations, translation, etc.

The given parameters are:

Circle A

[tex](x,y) = (6,7)[/tex] --- center

[tex]r=4[/tex] --- radius

Circle B

[tex](x,y) = (2,4)[/tex]  --- center

[tex]r = 16[/tex] --- radius

To do this, we simply make both circles have the same radius.

Given that:

[tex]r_A=4[/tex] --- radius of A

[tex]r_B = 16[/tex] --- radius of B

Dilating the radius of A by 4 will make both circles have the same radius.

i.e.

[tex]R = r_A * 4[/tex]

[tex]R = 4 * 4[/tex]

[tex]R = 16[/tex]

Now, the new radius of A is 16; same as B

Both circles now have the same radius, means that the circles are similar.

Read more at similar shapes at:

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Answer:

Percent change is 19.06%

Step-by-step explanation:

It is given that:

Price before change = £125.99

Price after increase = £150

Change = 150 - 125.99 = £24.01

Percent of change = [tex]\frac{Change}{Price\ before\ change}*100[/tex]

Percent of change = [tex]\frac{24.01}{125.99} * 100[/tex]

Percent of change = 0.1906 * 100

Percent of change = 19.06%

Therefore,

Percent change is 19.06%

Answer:

19.06

Step-by-step explanation:

Answer:

The theater sold 9 tickets just multiple 8.75 by 9 and you'll get 78.75

Answer:

{-12,12}

Step-by-step explanation:

it looks like that I guess

Answer:

60

Step-by-step explanation:

Since when x = 0 the corresponding value of y is 60. So, y-intercept (b) = 60