Alexa is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Alexa will earn $20 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Alexa earned a total of $340 in royalties on 8 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Alexa's songs were played. Define the variables that you use to write the system

Answer:  38.46

Step-by-step explanation:

400/10.4= 38.46

Answer:

3 rows of roses and 9 daffodils each row. (3x9=27)

4 rows of roses, 9 in each row.

(4x9=36)

Hope that helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 roses in the 3 rows. 9 goes into 27, 3 equal times.

Answer:

b

Step-by-step explanation:

Answer:

The answer is spinner B. There are 8 sections on the spinner and 4 of them have letter A, so P(A)= 1/2.

Answer:

The jar has 32 dimes and 18 quarters

Step-by-step explanation:

To solve this problem we can create a system of linear equations in terms of two-variables (say [tex]x[/tex] and [tex]y[/tex]) and solve it. To begin let us analyze the problem further. We know that the values of each coin type are:

Dimes ( [tex]x[/tex] )     = $0.10

Quarters( [tex]y[/tex] )  = $0.25

Total Value   = $7.70

Total Coins   = 50

Now let us set up our system of equations as:

[tex]0.10x+0.25y=7.70[/tex]      Eqn.(1)

[tex]x+y=50[/tex]                     Eqn.(2)

Lets take Eqn.(2) and rerrange it to solve for [tex]x[/tex] as:

[tex]x=50-y[/tex]                     Eqn.(3)

Now lets plug this, in Eqn.(1) so we get the value of [tex]y[/tex] as:

[tex]0.10(50-y)+0.25y=7.70\\\\5-0.10y+0.25y=7.70\\\\-0.10y+0.25y=7.70-5\\\\0.15y=2.7\\\\[/tex]

[tex]y=\frac{2.70}{0.15} \\\\y=18[/tex]

Plugging in [tex]y=18[/tex] back in Eqn.(3) we finally have:

[tex]x=50-18\\x=32[/tex]

Thus we conclude that in the jar the coins are:

Dimes ( [tex]x[/tex] ) [tex]=32[/tex]

Quarters( [tex]y[/tex] ) [tex]=18[/tex]

The equation for line perpendicular to y = -3x - 2 and passing through the point (9,7)  in slope intercept form is:

[tex]y = \frac{x}{3}+4[/tex]

Solution:

Given that we have to write the equation for line perpendicular to y = -3x - 2 and passing through the point (9,7)

Let us first find the slope of line

The equation of line in slope intercept form is given as:

y = mx + c -------- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given equation of line is:

y = -3x - 2

On comparing the above equation with eqn 1

m = -3

We know that product of slope of a line and line perpendicular to it is equal to -1

Therefore,

[tex]-3 \times \text{ slope of line perpendicular to given line } = -1\\\\\text{ slope of line perpendicular to given line } = \frac{1}{3}[/tex]

Now find the equation of line passing through the point (9, 7)

[tex]\text{Substitute } (x, y) = (9, 7) \text{ and } m = \frac{1}{3} \text{ in eqn 1 }[/tex]

[tex]7 = \frac{1}{3} \times 9+c\\\\7=3+c\\\\c = 4[/tex]

[tex]\text{Substitute } m = \frac{1}{3} \text{ and } c = 4 \text{ in eqn 1 }[/tex]

[tex]y = \frac{1}{3}x+4\\\\y = \frac{x}{3}+4[/tex]

Thus the equation of line in slope intercept form is found

Step-by-step explanation:est $ 6800

Samantha wants to invest $ 6800 in a saving account that pays 6% simple interest .

Let it will be take x year    

Principle =$6800

Interest = $ 6800

Rate of interest = 6%

Time = x(let)

According To Problem

6800=[tex]\frac{6800\times x\times 6}{100}[/tex]

⇔x = [tex]\frac{100}{6}[/tex] = 16.67 year

Therefore ,it will take 16.67 year .

Answer:

16.67 years.

Step-by-step explanation:

Samantha wants to invest $6800 in a savings account that pays 6% simple interest.

Let after y years the amount will be double in value.

So, using the formula of simple interest we can write

[tex]2 \times 6800 = 6800(1 + \frac{6\times y}{100})[/tex]

⇒ [tex]2 = 1 + \frac{6y}{100}[/tex]

⇒ 6y = 100

⇒ y = 16.67 years.

Therefore, after 16.67 years the amount will become double in value. (Answer)

Answer:

F(X)=7 is the even function

Step-by-step explanation:

f(x)=(x-1)2 is neither odd or even

f(x)=8x is a odd function

f(x)=x2-x is neither odd or even

and f(x)=7 is EVEN

Answer:

It could be -111 and -173

Step-by-step explanation:

-111 is 62 more than -173 and together they are -284.

Answer:

4+5x<50

Step-by-step explanation:

5n < 50 <--- subtracts 4 from both sides

n < 10 <--- divides both sides by 5

Check: testing n=0, we have 4 + 5(0) = 4 + 0 = 4 < 54, so yes it works

testing n=10, 4 + 5(10) = 4 + 50 = 54.

testing n=11, 4 + 5(11) = 4 + 55 = 59 <--- fails as expected.

X < 10, proven, verified, correct

The inequality 'Four more than 5 times the number x is less than 50' translates to '5x + 4 < 50'. By solving, we find the solution is 'x < 9.2', indicating that x must be less than 9.2.

The question "Four more than 5 times the number x is less than 50" can be translated into a mathematical inequality. The 'four more than' suggests addition, and '5 times the number x' indicates multiplication.

Therefore, we have the inequality 5x + 4 < 50. To find the range of values for x, we need to solve the inequality for x.

Step 1: Subtract 4 from both sides to isolate the term with x on one side of the inequality. 5x < 46.

Step 2: Divide both sides by 5 to solve for x. x < 9.2.

So, the solution to the inequality is that x must be less than 9.2. This inequality does not require the quadratic formula as suggested in some parts of the provided information.

The assumption that 'The value of x is not less than 5% of 0.50' is also not relevant to solving this particular inequality.

Answer:

51.06

Step-by-step explanation:

So

P=$925

R=2.3%

T=2.4

So to get the answer we would need to multiply all of these together so first we would do 925 times 2.3% which would be 21.275. Then we would do 21.275 times 2.4 then we would get the answer of 51.06.

Answer:

what is the equation of f(x)

Step-by-step explanation:

Answer:

9 is the answer

Step-by-step explanation:

Sarah bought 4 first class tickets and 4 coach tickets for a total of 8 tickets, using her entire budget of $5080.

Sarah purchased tickets for a total of 8 people with a mix of coach and first class tickets. The cost for coach tickets was $290 each, and the cost for first class tickets was $980 each. With a total airfare budget of $5080, we need to determine how many of each type of ticket she bought.

Let's denote the number of first class tickets as x and the number of coach tickets as y. The two equations representing the situation are:

From the first equation, we can express y in terms of x: y = 8 - x. Substituting this into the second equation gives us:

980x + 290(8 - x) = 5080

Solving for x will give us the number of first class tickets, and using the value of x, we can find y, the number of coach tickets. After simplifying and solving, we find that:

980x + 2320 - 290x = 5080

690x = 2760

x = 4

Thus, Sarah bought 4 first class tickets. To find the number of coach tickets (y), we substitute x into the first equation:

y = 8 - 4

y = 4

Therefore, Sarah also bought 4 coach tickets.

Answer:

5 years

Step-by-step explanation:

We are given;

We are required to determine the time taken for the value of the car to depreciate to half the original value.

Therefore;

$6,250 = $12,500(1 - r/100)^n

0.5 = (1 - 13/100)^n

0.5 = 0.87^n

Introducing log on both sides;

log 0.5 = n log 0.87

Therefore;

n = log 0.5 ÷ log 0.87

  = 4.977

  = 5 years

Therefore, it takes 5 years for the value of the car to depreciate to half the initial value.

Answer:

Please read the answer below.

Step-by-step explanation:

Let's add the two expressions as they are written in the question:

- - 4.25r + 3 and 2.5r - 6 = 4.25r + 3 + 2.5r - 6

= 6.75r - 3

In case it wasn't written accurately and the expressions are (first on the left with just one negative sign):

- 4.25r +3 and 2.5r- 6 = - 4.25r + 3 + 2.5r - 6

= -1.75r - 3

Answer:

57

Step-by-step explanation:

The midsegment is one half the length of the third side of the triangle, that is

6x + 3 = [tex]\frac{1}{2}[/tex](3x + 87)

Multiply both sides by 2 to clear the fraction

12x + 6 = 3x + 87 ( subtract 3x from both sides )

9x + 6 = 87 ( subtract 6 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Thus

midsegment = 6x + 3 = 6(9) + 3 = 54 + 3 = 57

Answer:

D. 4.1 inches

Step-by-step explanation:

Answer:

The answer is  [tex]9\times 10^{16}.[/tex]

Step-by-step explanation:

Given:

2 times 10 to the 16th plus 7 times 10 to the 16th in scientific notation.

Now, to solve in scientific notation.

So, we change into scientific notation:

2 times 10 to the 16th

[tex]=2\times 10^{16}[/tex]

7 times 10 to the 16th

[tex]=7\times 10^{16}[/tex]

Now, to add:

[tex]2\times 10^{16}+7\times 10^{16}[/tex]

As, we see the powers are same so we add the numbers in this standard form:

[tex]=(2+7)10^{16}[/tex]

[tex]=9\times 10^{16}.[/tex]

Therefore, the answer is [tex]9\times 10^{16}.[/tex]

Answer:

1. 22 * 3 = t

2. 4 + 7 = f

Step-by-step explanation:

Addison brought 66 treats to school and Brady caught 11 fish last weekend.

To determine how many treats Addison brought to school, we can write the following equation: t/22 = 3, where t represents the number of treats. To solve for t, we can multiply both sides of the equation by 22 to get t = 3 * 22 = 66. Therefore, Addison brought 66 treats to school.

To determine how many fish Brady caught last weekend, we can write the equation: f - 4 = 7, where f represents the number of fish. To solve for f, we can add 4 to both sides of the equation to get f = 7 + 4 = 11. Therefore, Brady caught 11 fish last weekend.

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Answer:

Subtract 5x from both sides of the equation

-3y = 12 - 5x

Then, divide each term by -3 and simplify.

y = -4 + 5x

           ------

              3

After that, you'll do this

y= 5x

   ----- - 4

     3

Lastly, you put that into slope-intercept form.

y = 5

    ---- x - 4

     3

Answer:

x=0 or x=6/10

Step-by-step explanation:

10x^2=6x ⇔ 10x^2 - 6x = 0 ⇔ x(10x-6)=0 ⇔ x=0 or x= 6/10

Answer:

5.75

Step-by-step explanation:

3 + 11/4

Use BIDMAS to help you

11/4 = 2.75

3+ 2.75 = 5.75

Plz mark brainliest i just need 3 more plz plz plz

Answer:

4 hours.

Step-by-step explanation:

If Robbie earns 12 dollars per hour, it will take him 4 hours to earn 48 dollars. This is because 48/12 = 4.

48/12=hours

12+12+12+12=hours

4 hours

Answer:

square root of 13

Step-by-step explanation:

sqrt(13)=3.606...

pi=3.14...

2pi=6.28...

sqrt(13) is between

Answer:

x = -5

Step-by-step explanation:

8x+32=1/5(25x−15)−4x

8x + 32 = 5x - 3 - 4x

8x + 32 = x - 3

7x = -35

x = -5

Answer:

x = -5

Step-by-step explanation:

Let's expand the parentheses on the right side first:

(1/5) * (25x - 15) = (1/5) * 25x - (1/5) * 15 = 5x - 3

Now put this back in:

8x + 32 = 5x - 3 - 4x

Move all the x terms to one side and all the constants to one side:

8x - 5x + 4x = -3 - 32

Combine like terms:

7x = -35

Divide both sides by 7:

x = -35/7 = -5

Thus, the answer is -5.

Hope this helps!

The lengths of the three sides of the triangle are 7m, 7m, and 12m.

Let the length of the two equal sides be 'x'.

The third side measures 2m less than twice the common length, so it is (2x - 2)m in length.

Given that the perimeter of the triangle is 26m, we can set up the equation:

x + x + (2x - 2) = 26

Simplifying the equation:

4x - 2 = 26

4x = 28

x = 7

So, the lengths of the three sides are 7m, 7m, and (2x - 2)m = (2 * 7 - 2)m = 12m.

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Final answer:

The triangle with two sides of equal length and a perimeter of 26 m has sides measuring 7 m, 7 m, and 12 m.

Explanation:

To solve for the lengths of the sides of the triangle described in the question, we can set up an equation based on the information given. Since two sides of the triangle have the same length, we can call that common length 'x'. The third side is described as being '2 m less than twice the common length', which can be written as '2x - 2'. The perimeter of the triangle, which is the sum of the lengths of all sides, is given as 26 m.

Therefore, the perimeter equation would be:

x + x + (2x - 2) = 26

This simplifies to:

4x - 2 = 26

Adding 2 to both sides, we get:

4x = 28

Dividing both sides by 4, we find x:

x = 7

Now we know that the two sides of equal length are both 7 m, and the third side is:

2x - 2 = 2(7) - 2 = 12

So the lengths of the three sides of the triangle are 7 m, 7 m, and 12 m.

Joyce: y = 2x + 7

Haley: y = 3x

From looking at these two equations, we can assume that Haley will eventually catch up and pass Joyce because she sells items for $3 whereas Joyce had a head start of $7, but only sells items for $2.

Using substitution, we plug in y = 3x into y in the first equation: 3x = 2x + 7

This leaves us at x = 7.

y = 3(7) or 21.

The point at which Haley's and Joyce's money will be exactly the same is (7, 21). After this point, Haley will have more money.

Answer:

an equal number of students chosen at random from each grade level

In statistics, a sample is a little amount that reveals how the remainder is or should be.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

A middle school contains sixth, seventh, and eighth graders each grade level contains approximately the same number of students the principal wants to find the answer to a survey question affecting each student in the school.

An equal number of pupils from each grade level were chosen at random.

We could simply collect the information of all the pupils by randomly picking some students such that there are an equal number of students from each grade.

More about the statistics link is given below.

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Answer:

D Price of a pencil

Step-by-step explanation:

In A the number of students has to be an integer because you can't have part of a student

In B most likely your teacher will give you your score in a whole number form like 95% and not 94.87% because they would round it if it isn't a whole number already

C is similar to A you can't have a part of a computer key

Lastly in D stores very frequently have there prices at something like $1.99 which isn't a integer

The situation that would most likely be represented by a rational number that is not an integer is the price of a pencil.

The situation that would most likely be represented by a rational number that is not an integer is D) price of a pencil. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. The price of a pencil can be a rational number in the form of a decimal, such as 0.99 or 2.50, which are not whole numbers.

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Answer:2.0994

Step-by-step explanation:

You would want to set up the equation like this

120°×π/180 which will then be 2.094rad

120 degrees is equal to 2π/3 radians. You can convert degrees to radians by using the conversion factor π/180. This method simplifies to 2π/3 for 120 degrees.

Converting Degrees to Radians

To convert an angle from degrees to radians, you can use the conversion factor that 360° is equal to 2π radians. Therefore, 1 degree is equal to π/180 radians. To convert 120 degrees to radians, you can follow these steps:

Therefore, 120 degrees is equal to 2π/3 radians. This method ensures accurate conversion and is useful in various mathematical calculations.