Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 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 Adrian's songs were played.

Answer:

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Step-by-step explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.

Answer:

B and D

Step-by-step explanation:

i took this test

The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The quadratic equation is given below.

x² + 2x - 5 = 0

The solution of the quadratic equation will be

x² + 2x - 5 = 0

Add 1 on both sides, then the equation will be

x² + 2x + 1 - 5 = 1

x² + 2x + 1 = 1 + 5

(x + 1)² = 6

Taking square root on both sides, then the equation will be

x + 1 = ±√6

    x = - 1 ±√6

Then the roots of the equation will be - 1 - √6 and - 1 + √6.

Then the correct options are B and D.

More about the solution of the equation link is given below.

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Answer:

c i believe sorry if its wrong

Step-by-step explanation:

Answer:

3. A.

4. 136

Step-by-step explanation:

3. Find the surface area:

2 * 1  = 2

3 * 2.2 = 6.6

2 * 3 = 6

3 * 1 = 3

2 + 6.6 + 6 + 3 =  17.6

4. Find the surface area:

5 * 7 * 2 = 70

6 * 4 = 24

7 * 6 = 42

70 + 24 + 42 = 136

The ratio 1:4 would be the same as if it was written as 1/4.

Because she multiplied the dimensions by 1/2, that would be a ratio of 1:2

The answer is:

B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2

Answer:

19/6 = 3 and 1/6, so you have 3 hours and 10 minutes a day or 190 minutes

Answer:

3/10 or three-tenths

Step-by-step explanation:

Hope this helps=D

Answer:

O.3 = 1/3

Step-by-step explanation:

divide 1÷3

you will get 0.3 to infinity

Answer:

x= 20

Step-by-step explanation:

a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.

Step 1

define

according to the graph

3x+80+2x=flat angle=180°

3x+80+2x=180°

Step 2

solve for x

3x+80+2x=180°

5x+80=180

subtract 80 in each side

5x+80-80=180-80

5x=100

divide by 5

(5x)/5=100/5

x=20

happy to help:)

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

Answer:

64

Step-by-step explanation:

64

Hope it helped!

Answer:

64

Step-by-step explanation:

4^8/4^5

we know that

4^8 = 65536

4^5 = 1024

Now,

65536/1024 = 64

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

[tex]h(t) = -16t^{2} + 72t + 100[/tex]

[tex]-16t^{2} + 72t + 100 = 0[/tex]

Multiplying by (-1)

[tex]16t^{2} - 72t - 100 = 0[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]16t^{2} - 72t - 100 = 0[/tex]

So

[tex]a = 16, b = -72, c = -100[/tex]

[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]

[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]

[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

Answer:

Multiply by 3 on both sides of the equation.

2.78 × 3 = 8.34, so t = 8.34.

Substitute 8.34 for t to check the solution.

Step-by-step explanation:

To solve the equation  [tex]\frac{t}{3}[/tex]= 2.78

we will use the steps below to solve this equation;

First, multiply by 3 on both-side of the equation. That is;

[tex]\frac{t}{3}[/tex] ×  3= 2.78 × 3

On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34

t = 8.34

we can further substitute 8.34 for t to check the correctness of the solution

that is;

[tex]\frac{8.34}{3}[/tex] =  2.78

Answer:

1,4,5

Answer:

The order from top is

8 - 3

1 - 35

3 - 50

7 - 3/5

Step-by-step explanation:

Answer:FOOD, HYGIENE, ENTERTAINMENT

Step-by-step explanation:

The answer is:

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

According to the given information

a)Keaton spend the most money on Food.

b) Keaton spend the least money on Hygiene Products.

c) Keaton spends about as much money on rent as he does on Entertainment.

Learn more about data here:

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Answer:

D

Step-by-step explanation:

I would guess that the answer is the last one, D.

This is because,

1 * -2 = -2.

1 * 0 = 0

2 * 1 = 2

3 * 4 =12

Answer:

D

Step-by-step explanation:

Hope this helped

Answer:

Although it's blurry, I believe y is equal to 3.

Step-by-step explanation:

You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.

Answer:

Step-by-step explanation:

The water run at a constant speed with the slope of 5/12.

Slope-intercept form would be y = 5/12x.

So if we were to plug it in the equation,

y = 5/12 (7) = 35/12 or 2 11/12.

Hope this helps ;D

Answer:

62.5%

Step-by-step explanation:

Answer:

62.5

Step-by-step explanation:

45/72 =

45 ÷ 72 =

0.625 =

0.625 × 100/100 =

0.625 × 100% =

(0.625 × 100)% =

62.5%;

Answer:

11.43

Step-by-step explanation:

[8 + (24 x 3)] divided by 7

[8 + (72)] divided by 7

80/7

11.42857142857143

11.43 (I rounded it)

Answer:

11.42

My explanation:

P( )

E *

M x

D /

A +

S -

the first step is to multiply 24x3 because parenthesses go first

the second step is that get the 72 form multiplying and add 8 to it becasue its inside the lines

third step is to divide by 7 and then you get 11.42

Feel free to ask for more help :)

Answer:

Step-by-step explanation:

d = diameter = 12ft

r = d/2 = 12/2 = 6ft

Slant height = 13ft

Surface area of cone = π r 2 + π L r

Where L is the slant height of the cone π = 22/7

SA = 22/7×6×6+22/7×13×6

SA = 113.14+245.142

SA = 358.28ft^2

If one bundle of shingle covers 32 ft.²

Hence,358.28ft^2  = 358.28ft^2/32 ft.²

= 11.196

= 11.2 bundles

Answer:

-3x + 17 < -29

Step-by-step explanation:

Answer:

38% order a chicken dinner

Step-by-step explanation:

40% order tacos.  50% of 40% order chicken tacos.  50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.

60% order fajitas.  30% of 60% order chicken fajitas.  30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.

20% + 18% = 38% order a chicken dinner.

Answer:

i dont really know

Step-by-step explanation:

The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.

8 x 2 = 16     8 x 3 = 24.

Answer:

Intersection means a line common to other lines and an action of intersection/intersecting.

hope it helps!

Answer:

2.5x10^1

Step-by-step explanation:

When the first number goes down, add one to the 10's power

Answer:

2.5x10∧1

Step-by-step explanation:

Answer:

The local minimum point of f(x) is at the point (-2,-2)

Step-by-step explanation:

the minimum point is located on the very bottom of the parabola!

so its cut off but its (-2,-2)

sorry I didnt see the 6,-2

so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2

pls mark me brainliest

To find the value of angle A, we'll need to use a trigonometric function. In this case, we are given the adjacent side and the hypotenuse. So, we should use cosine. And because we are finding an angle, we will need to use the inverse cosine.

cos(a) = 3/8

a = cos^-1(3/8)

a = 67.98 degrees

Hope this helps! :)

isometric dot paper - also known as "3D drawing paper." You can use these files for free and print as many sheets as you want. This paper is used by many people for creating perspective drawings of buildings, products, boxes and more.

Step-by-step explanation:

Answer:

2 and 1

Step-by-step explanation:

[tex]y = {x}^{2} + 3x - 7 \: will \: have \: two \: points \: of \: \\intersection \\ \\ y - x = 9 \: will \: have \:only \: one\: point \: of \:\\ intersection[/tex]

Answer:

the volume of the pipe is 649.98 cubic inches.

Step-by-step explanation:

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]

where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

substituting our given values in above formula, we will get:

[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]

Therefore, the volume of the pipe is 649.98 cubic inches.

Answer: her bill be before tax is $49.2

Step-by-step explanation:

Let x represent the cost of 1 pack of handle bar streamers.

Let y represent the cost of 1 set of beads for spokes.

Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. It means that

2x + 3y = 27.85- - - - - - - - - 1

Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. It means that

x + 4y = 26.3

x = 26.3 - 4y - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

2(26.3 - 4y) + 3y = 27.85

52.6 - 8y + 3y = 27.85

- 8y + 3y = 27.85 - 52.6

- 5y = - 24.75

y = - 24.75/-5

y = 4.95

x = 26.3 - 4y = 26.3 - 4(4.95)

x = 26.3 - 19.8

x = 6.5

If Nana wants to buy 3 packs of streamers and 6 sets of beads, her bill before tax would be

(3 × 6.5) + (6 × 4.95) = 19.5 + 29.7

= $49.2