Mathematics High School

For his long distance phone service, Rafael pays a $5 monthly fee plus 9 cents per minute. Last month, Rafael long distance bill was $10.94. For how many minutes was Rafael billed?

Answers

Answer 1

66 minutes, 10.94 - 5 / .09

Related Questions

Use the descriminant to describe the roots of each equation. Then select the best description. 16x^2+8x+1=0

Answers

Use the values of a, b, and c to find the discriminant:
0
I don't know if this is correct

If f(x) = 2x + 8 and g(x) = x^4, what is (g ° f)(-3)?

Answers

(g ° f)(x)
= g(f(x))
= (2x+8)^4

Plug x= -3 into this equation
(g ° f)(-3)
= (2(-3)+4)^4
= (-2)^4
= 16

Have an awesome day! :)

(g *f)(x) = (2x+8)^4

replace x with -3

(2(-3)+4)^4 =

(-6+4)^4 =

= (-2)^4

= 16

HELP ASAP PLEASE!
Evaluate the numerical expression.

− 1/3 − (− 4/9 )

Answers

I gotcha covered.

So, let's separate the problem to its individual components.

We have -1/3

and we're subtracting (-)

- 4/9

Now, we can see that we have two minus signs right next to each other.

If that occurs, we can change the two minus signs to one positive sign. It's just a rule in math.

So, we can rewrite the problem:

-1/3 - (- 4/9) can be rewritten to:

-1/3 + 4/9

But!!! We're not finished yet. The denominators (that means bottom part of a fraction) are not the same.

The denominators most of the time have to be same.

We have a 3 and a 9...

How do we make them the same? I gotcha covered again.

There's the criss-cross method, also known as cross multiplication, but I won't go over that because there's an easier way for this problem.

Here's the easier way:

3 * ? = 9

? = 3

So, 3 * 3 = 9.

We can multiply the - 1/3 by 3 to get the common denominator of 9.

There's a rule for this too... what we multiply by the denominator, we also MUST multiply that same number to the numerator (the top part of a fraction).

So, - 1/3 * (3/3) = - 3/9.

We can then add the fractions together since they have the same denominator.

Here it is:

- 3/9 + 4/9

Since - 3/9 is negative, we subtract that from 4/9...

Rewritten, we have:

4/9 - 3/9 = 1/9.

The denominators don't get changed unless we multiply or divide, so we only do the math for the numerators.

1/9 is the answer.

Good luck, and if you have more questions then please leave a comment!

I use KCC (Keep Change Change) so -1/3 would be kept the same, the minus would be turned positive and the -4/9 would be changed to positive 4/9.
Then it will look like this: -1/3+(+4/9) = 1/9
Hope this helps.

I feel like this is wrong but help plz

Answers

The second answer is the correct answer.

you are correct
AB and AE are both on line BE

Orrin had $541.06 in his checking account, and a check that he wrote to his landlord for $560.00 was just deposit?
A.service fee
B.ATM fee
C. Overdraft fee
D. Overspending fee

Answers

overdraft fee is the correct answer

the answer is c. because the check hasn't had enough time to go trough

Hannah claims that -3 is not rational number because it is not written as a ratio of integers. Is she correct? Explain why or why not?

Answers

She is incorrect.
-3 can be written as -3/1.

Factor comun polinomio de (2×+3)(3-r)-(2×-5)(3-r)

Answers

3 - r e um factor comum.
Pode-se factorizar:

(2x+3)(3-r)-(2x-5)(3-r) =

= (3 - r)(2x + 3 - 2x + 5)

= (3 - r)(8)

= 8(3 - r)

Assume your favorite soccer team has 2 games left to finish the season. the outcome of each game can be win, lose or tie. the number of possible outcomes is

Answers

Final answer:

The number of possible outcomes for the two remaining games is 9.

Explanation:

The number of possible outcomes for the two remaining games can be found by multiplying the number of outcomes for each game. Since each game can have three possible outcomes (win, lose, or tie), there are a total of 3 outcomes for each game. Therefore, the number of possible outcomes for the two games is 3 x 3 = 9.

Which of the following could be the number of real roots, including any repeated roots, of a quadratic polynomial with real coefficients? Select all possible answers.

0

4

5

6

Answers

Final answer:

A quadratic polynomial can have 0, 1, or 2 real roots, including repeated roots. The roots are determined by the discriminant. Numbers 4, 5, or 6 are not possible numbers of real roots for a quadratic polynomial.

Explanation:

In Mathematics, specifically in Algebra, a quadratic polynomial with real coefficients can have either 0, 1, or 2 real roots, including any repeated roots. The number of roots is determined by the discriminant (the value under the square root in the quadratic formula). If the discriminant is greater than 0, the quadratic has 2 real roots. If it equals 0, there is 1 real root (a repeated root), and if it is less than 0, there are no real roots (there are 2 complex roots instead). Consequently, the possible number of real roots for a quadratic polynomial is not 4, 5, or 6.

Learn more about Quadratic Polynomial here:

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A quadratic polynomial with real coefficients can have 0, 1, or 2 real roots. Only '0 real roots' is a valid choice. This is determined based on the discriminant of the quadratic equation.

A quadratic polynomial with real coefficients is of the form [tex]$ ax^2 + bx + c = 0 $[/tex], where ( a, b, ) and ( c ) are real numbers.

The number of real roots of a quadratic polynomial can be determined by its discriminant, [tex]$ \Delta = b^2 - 4ac $[/tex]:

1. If [tex]\( \Delta[/tex] > 0, the polynomial has two distinct real roots.

2. If [tex]\( \Delta[/tex] = 0, the polynomial has one real root (a repeated root).

3. If [tex]\( \Delta[/tex] < 0, the polynomial has no real roots (it has two complex conjugate roots).

Based on this, the possible number of real roots, including repeated roots, for a quadratic polynomial with real coefficients are:

- ( 0 ) (when the discriminant is negative, there are no real roots)

- ( 1 ) (when the discriminant is zero, there is one repeated real root)

- ( 2 ) (when the discriminant is positive, there are two distinct real roots)

Given the options:

- 0

- 4

- 5

- 6

The only valid number of real roots for a quadratic polynomial with real coefficients from the provided options is: 0

The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction

Answers

hmm the reduction is 8%, how much is 8% of 15400 anyway?

if we take 15400 to be the 100%, what is 8%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 15400&100\\ x&8 \end{array}\implies \cfrac{15400}{x}=\cfrac{100}{8}\implies \cfrac{15400\cdot 8}{100}=x[/tex]

so, the reduced price of the car is 15400 - x.

The cost of the car after an 8% reduction on the initial price of £15,400 is £14,168. This is found by calculating 8% of the original price and subtracting that amount from the initial price.

The initial price of the car is £15,400. To calculate the price after an 8% reduction, we first find the value of the discount and then subtract it from the original price. An 8% reduction on £15,400 is calculated as follows:

Calculate 8% of £15,400: (8/100) * £15,400 = £1232.Subtract the discount from the original price: £15,400 - £1232 = £14,168.

Therefore, as per the above explaination, the cost of the car after the reduction is £14,168.

can anyone help me with this questions?

Answers

Non taxable amount $ 49.35
Taxable amount $20.17
Tax amount $1.41

Total amount due $ 70.93

Jonathan has a bag that has 2 red marbles and 3 blue marbles inside of it if you were to pick one marble from the bag without looking what is the probability of picking a red marble

Answers

There are 2 red marbles and 3 blue marbles, with a total of 5 marbles in the bag.

When Jonathan chooses a marble, we are saying that he is choosing the marble randomly.

Let's make a fraction. We want to know the chance of picking one of the 2 red marbles among all 5 marbles.

Divide 2 by 5

2/5

That's already a simplified fraction. If you want to convert this into decimal and into percentage, you would get

2/5
= 0.4
= 40%

Those are all acceptable answers.
Have an awesome day! :)

Please help? I need this like... NOW.

Answers

Y=-12 HOPE THIS HELPS

see attached picture for solution

answer is (2,5)

Shane works at a computer store. If he earns 20.93 from a 7% commission on the scale of a printer what is the price of the printer

Answers

well, the price of the printer is "x", which is incidentally the 100% of the price.

now, we know that 20.93 is 7% of "x", since that's what Shane is getting in commission anyway, what is "x" then?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 20.93&7 \end{array}\implies \cfrac{x}{20.93}=\cfrac{100}{7}\implies x=\cfrac{20.93\cdot 100}{7}[/tex]

QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!

Answers

Slope = 4/3, y intercept = -5/3

see attached picture:

Simplify the expression 96/8

Answers

96/8

use either calculator
or
long division method..

by using long division method we got,

8 | 96| 12
........8
______
.......16
.......16
_______
0

so, the result is 12

There are 4 pears in all. How many pears in 1 group?

Answers

2?
You did really give me much to work with.

There are 4 pears in all.
If you are trying to split them up it would 2 groups that both contain 2 pears
So it think the answer to this question is 2 pears in 1 group

By which rule are these triangles congruent? A) AAS B) ASA Eliminate C) SAS D) SSS

Answers

The answer is D) SSS.
We have 3 pairs of congruent sides from each triangles, including the shared side.

Have an awesome day! :)

Answer:

D) SSS

Step-by-step explanation:

In the given image you can observe two triangles with congruent sides,

[tex]PQ \cong SQ\\PN \cong SN\\QN \cong QN[/tex]

Notice that all three corresponding sides are congruent. That means,

[tex]\triangle PQN \cong \triangle SQN[/tex], by SSS postulate.

The SSS postulate states that if two triangles have all three corresponding sides congruent, then those triangles are congruent.

Therefore, the right answer is D) SSS.

Does anyone know this?

Answers

y = 8.6 * cos(44.25)=

6.1602

Rounded to nearest hundredth = 6.16

Who knows how to solve 9= -2+ 2x+ 1 ?

And also x-4= -9+ x

Answers

9 = -2 + 2x + 1
Add 2 by both sides.
11 = 2x + 1
Subtract 1 from both sides.
10 = 2x
Divide by 2 on both sides.
5 = x

x - 4 = -9 + x
Add 4 to both sides.
x = -5 + x
Subtract x from both sides.
0 = -5
There are no solutions.

Light travels 9.45 \cdot 10^{15}9.45⋅1015 9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. There are about 3.15 \cdot 10^73.15⋅107 3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year.How far does light travel per second?Write your answer in scientific notation.

Answers

3.00x10^8 meters. If I'm reading this problem correctly, light is traveling at 9.45x10^15 meters per year and that there's 3.15x10^7 seconds per year. So you desire to know the speed of light in meters per second. This is mostly an exercise in handing scientific notion. So we need to divide the total distance that light traveled by the number of seconds. With scientific notation, you divide the significands and subtract the exponents to perform division. So 9.45 / 3.15 = 3 ; Dividing the significands 15 - 7 = 8 ; Subtracting the exponents. So the answer is 3x10^8 meters per second. Since our data has 3 significant figures, the result should also have 3 significant figures, so the final result is 3.00x10^8 meters.

Answer:

3 x 10^8

Step-by-step explanation:

I got it right on Kahn Academy :D

What is the equation of the line shown in the graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.

y =_+_

Answers

Your answer would be
y = 2x +4

Your answer is Y= 2x (a) + 4 (e)

The y intercept is 4 and the slope is 2

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money he has left over after x rides? (1 point)

f(x) = 1.25x + 64

f(x) = −16x + $80

f(x) = −1.25x + 64

f(x) = −1.25x − 64

Answers

he has $ 80 when he goes to the fair.....he spends $ 4 to enter and $ 12 for food....(4 + 12) = 16. This means he has spent (80 - 16) = 64. He spends 1.25 per ride (x).

so ur function is :
f(x) = -1.25x + 64

A function is a relationship between inputs where each input is related to exactly one output.

The function that is used to determine how much money he has left over after x rides is

f(x) = -1.25x + 64.

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

f(x) = 2x + 2 is a function.

f(x) = 3x + 6 is a function.

We have,

Total amount = $80

Cost of entering the fair = $4

Cost on food = $12

Cost per ride = $1.25

The money left after x rides.

= 80 - (1.25x + 12 + 4)

= 80 - 1.25x - 12 - 4

= 80 - 1.25x - 16

= 64 - 1.25x

= -1.25 + 64

The function to determine money left can be represented as:

f(x) = -1.25x + 64

Thus,

The function that is used to determine how much money he has left over after x rides is

f(x) = -1.25x + 64.

Learn more about functions here:

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If f(x) = x + 2, find the value of x if f(x) = 12.

Answers

Hello,

Let's plug in "12" for "f(x)" since they tell us:
12 = x +2.

Now, in order to get "x" by itself, we add 2 to each sides:
12 +2 = x, which then becomes x = 14.

Hope this helps!

May

So the question says...
Suppose you have ∠SMB and m ∠SMB =125.35 °.
Part A: Determine the angle measure that is complement to ∠SMB, if possible. If ∠SMB does not have a complementary angle, then explain why it does not.
Part B: Determine the angle measure of the supplement of ∠SMB.
Part C: Determine the angle measure of the angle complement to ∠SMB’s supplement.
I’m stuck on this question so if anyone can help me with it that would be greatly appreciated. Thanks!

Answers

Part A. Two angles are complementary if their sum is equal to 90°. Since the angle given is more than 90°, there is no possible complement for a 125.35-degree angle.

Part B. Two angles are supplementary if their sum is equal to 180°. So,
Supplementary angle = 180 - 125.35 = 54.65°

Part C. Complementary angle = 90 - 54.65 = 35.35°

If f(x) = 3x + 2, what is f(5)?

A. 10
B. 1
C. 13
D. 17

Answers

f(x) = 3x+2

f(5) = 3(5) +2 = 15 +2 =17

Answer is D. 17

PRE CALCULUS
HELP PLEASEEEEEEEEE
describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3 give the order in which they must be preformed to obtain the correct graph

Answers

Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.

1. Which procedure could be used to graph the line represented by the following equation? Y=1/2x+3

A. Plot the x-intercept (3,0) and use the slope of 1/2 to find a second point.
B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second point
C. Plot the X-intercept (1/2,0) and use the slope of 3 to find a second point.
D. Plot the Y-intercept (0,1/2) and use the slope of 3 to find a second point

Answers

we have

[tex]y=\frac{1}{2}x+3[/tex]

we know that

the slope m of the line is equal to

[tex]m=\frac{1}{2}[/tex]

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For [tex]y=0[/tex] find the value of x

[tex]0=\frac{1}{2}x+3[/tex]

[tex]x=-6[/tex]

The x-intercept is the point [tex](-6,0)[/tex]

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

For [tex]x=0[/tex] find the value of y

[tex]y=\frac{1}{2}*0+3[/tex]

[tex]y=3[/tex]

The y-intercept is the point [tex](0,3)[/tex]

therefore

the answer is the option

B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second point

Final answer:

To graph the line y = 1/2x + 3, plot the y-intercept (0,3) and use the slope of 1/2 to find another point on the line.

Explanation:

The correct procedure to graph the line represented by the equation y = ½x + 3 is to start by plotting the y-intercept and then using the slope to find a second point. The y-intercept is the point where the line crosses the y-axis. In this equation, the y-intercept is (0, 3) because when x is 0, y is 3. The slope of the line is ½, which means that for every 1 unit increase in x, y increases by ½ a unit. Therefore, starting at the y-intercept (0, 3), you can go up ½ unit and right 1 unit to find another point on the line.

The correct answer to the multiple-choice question is:

B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second point

Can someone help me with algebra? I REALLY NEED IT.

Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?

A. a number line with open circles at negative 2 and 5 with shading in between.
B. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right
C. number line with shading everywhere.
D. number line with open dot at negative 2 and a closed dot at 5 with shading in between.

Answers

The answer is A i believe

The answer is B

I hope this helped :)

The maximum number of significant digits in float values is up to 6 or 7.
a. True
b. False

Answers

The answer to this question is clearly A

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