Two lawn-mowing services are compared. The monthly cost, y dollars, as compared to the number of times the yard is mowed, x. The monthly cost of Service a is represented by y = 30x+20. The graph of service b costs goes through (0,0) and (5,150). how do these two services differ?

Answer:

distributive property

Step-by-step explanation:

each term in the parenthesis is multiplied by the 12 outside

12(x + 4) = 12x + 48 ← using the distributive property

Answer: 4

The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given

Flip the sign to get -1/4 turn into +1/4 or just 1/4

Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.

Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.

Step-by-step explanation:

First, you divide the money by how many notebooks/folders you can get.

Folders: $2.50 / 10 = $0.25

Notebook: $7.00 / 4 = $1.75

Now, you just multiply the notebooks and folders.

6 folders x $0.25 = $1.50

5 notebooks x $1.75 = $8.75

$1.50 + $8.75 = $10.25

Answer: $10.25

To calculate the cost for 5 notebooks and 6 folders with given sale prices, first find the unit price of each item, then multiply by the desired quantity and add the totals to get the final cost, which is $10.25.

The cost for 4 notebooks is $7.00, which means one notebook costs $1.75 (since $7.00 divided by 4 equals $1.75). To find the cost of 5 notebooks, we multiply 5 by $1.75 to get $8.75.

The cost for 10 folders is $2.50, which means one folder costs $0.25 (since $2.50 divided by 10 equals $0.25).

To find the cost of 6 folders, we multiply 6 by $0.25 to get $1.50.

Finally, we add these two amounts together to find the total cost: $8.75 (for notebooks) + $1.50 (for folders) equals $10.25, which is the total amount Rico will spend.

Answer:

2Y is the  number of scarfs of length half metre that can be made from Y metres of cloth.

Step-by-step explanation:

To find the number of scarfs of length half metre that can be made from Y metre of cloth.

As per the given condition:

we have:

[tex]\text{Length of 1 scarf} = \frac{1}{2} m[/tex]

then;

Number of scarfs that can be made from Y metre of cloth = [tex]\frac{Y}{\frac{1}{2} } = Y \times 2 = 2Y[/tex]

Therefore, number of scarfs of length half metre that can be made from Y metres of cloth is, 2Y

Answer:

0.163

Step-by-step explanation:

The mass difference between Darragh's Golden Eagle coin and an uncirculated one is 0.163g. This difference could be from various factors including wear and tear, oxidation, or minor variations in the minting process.

The question relates to the difference in mass of an uncirculated Golden Eagle coin and one that is in Darragh's collection. First, we need to calculate the difference in mass. The mass of the uncirculated Golden Eagle coin is 13.714g and the mass of Darragh's Golden Eagle coin is 13.551g. By subtracting Darragh's coin mass from the uncirculated coin mass, we get a difference of 0.163g.

This means that Darragh's Golden Eagle coin is 0.163g lighter than an uncirculated one. This difference could be due to factors like wear and tear from handling the coin over time, oxidation, or even from slight variations within the minting process itself. As with any other measurement, there will be a minor uncertainty that should be considered in scientific contexts.

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Answer:

i think the answer is 99 im not completely sure though

but i hope this helps

Answer:

1.) There are 16 juniors and 8 seniors in the Chess Club. If the club  members decide to send 9 juniors to a tournament, how many different  possibilities are there?  

(16 over 9) = 16!/(9!*7!) = 11440

2.) How many different ways can 3 cards be drawn from a deck of 52  cards without replacement?  

52*51*50 = 132600

3.) How many different ways can 3 cards be drawn from a deck of 52  cards with replacement?  

52^3 = 140608

4.) A corporation has 5 officers to choose from which 3 are selected  to comprise the board of directors. How many combinations are there?

(5 over 3) = 5!/(3! * 2!) = 10

5.) A combination lock has the numbers 1 to 40 on each of three  consecutive tumblers. What is the probability of opening the lock in  ten tries?

10/40^3 = 1/6400

The questions deal with computing combinatorial possibilities such as selecting members for a Chess Club tournament, drawing cards from a deck with and without replacement, determining the number of combinations for a board of directors, and calculating the probability of opening a combination lock within a limited number of tries.

1. Chess Club tournament possibilities: This can be calculated using the combination formula. The number of ways to select 9 juniors from 16 is given by the formula C(n, k) = n! / (k!(n-k)!) where n is the total number of items, and k is the number of items to choose. In this case, it is C(16, 9).

2. Ways to draw 3 cards without replacement: This also uses the combination formula because the order of drawing doesn't matter. It is C(52, 3).

3. Ways to draw 3 cards with replacement: Since each draw is independent and the card is replaced each time, it's simply 52 x 52 x 52 = 1,40,608.

4. Combinations for a board of directors: Choosing 3 officers from 5 to form a board is C(5, 3).

5. Probability of opening a combination lock: The total number of combinations is 40 x 40 x 40. With ten tries, the probability of opening the lock on each try is 1/64000.

Thus the probability of opening within ten tries is 10/64000.

Answer:

the answer is n=>8

Step-by-step explanation:

Answer:

[tex]6^{18}[/tex]

Step-by-step explanation:

if the base is same we can add the exponential terms

her base is same which is 6. so we can add exponential terms

therefore

[tex]6^{9+9}[/tex]

[tex]6^{18}[/tex]

Hi! See the image attached

Step-by-step explanation:

To find how many packages Donna should buy, we need to solve 336/6.

According to the question, there are 6 cookies in a package. This means that to find the number of packages Donna has to buy, we have to divide the the number of cookies per package, 6, from the total number of cookies, 336.

Step 1. (This is the only thing you need to do!)

336 ÷ 6 = 56 packages

If you want to double check your answer, just multiply 6 (the number of cookies) by 56 (the number of packages). This shows us how many cookies we'll get by buying 56 packages, which each have 6 cookies.

6 × 56 = 336 cookies

56 packages, which have 6 cookies each, will give us 336 cookies. Our answer is correct! :)

Answer:

The answer is C: 35°

Step-by-step explanation:

The sum of all angles in a triangle is 180°

So, 180°-(60°+85°)

= 180°-145°

= 35°

m∠L = 35°

Hope it helps!

Answer:

-8m^2 -2m +17

Step-by-step explanation:

(-6m^2 - 7m + 8) - (2m^2 - 5m - 9)

Distribute the minus sign

(-6m^2 - 7m + 8) - 2m^2 + 5m + 9

I like to line them up vertically

-6m^2 - 7m + 8

- 2m^2 + 5m + 9

---------------------------

-8m^2 -2m +17

[tex](-6m^2-7m+8)-(2m^2-5m-9)\\\\=-6m^2-7m+8-2m^2-(-5m)-(-9)\\\\=-6m^2-7m+8-2m^2+5m+9\qquad\text{combine like terms}\\\\=(-6m^2-2m^2)+(-7m+5m)+(8+9)\\\\=\boxed{-8m^2-2m+17}[/tex]

Answer:

work

Step-by-step explanation:

[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=-3[x-(-1)]\implies y+4=-3(x+1)[/tex]

The equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of -3 is y=-3x-7

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We are given the slope of the line of -3 and a point (-1,-4)  that it passes through.

We will use the Point-Slope Formula:

Plug in the values and solve:

y-(-4)=-3(x-(-1)

y+4=-3(x+1)

y+4=-3x-3

y=-3x-3-4

y=-3x-7

Hence, the equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of -3 is y=-3x-7

Learn more about slope here:

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Answer:

83

Step-by-step explanation:

Theorem:

The measure of any exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

The angle measuring x is an exterior angle.

The angles measuring x - 39 and x - 44 are the remote interior angles to the exterior angle.

According to the theorem:

x - 39 + x - 44 = x

2x - 83 = x

x - 83 = 0

x = 83

Answer:

That would be 60, and there isn't a remainder.

Step-by-step explanation:

480÷8

Since there are 6 8's in 48, it would be that but you would add a zero, since it is four hundred. Hope this helps!

Answer: 60

Step-by-step explanation:

Set up the long division.

2 Calculate 48 ÷ 8, which is 6.

3 There is no remainder. We are done. Add ending zeroes to the final answer.

Answer:

Zeros of the given function are x=5 and x=-1.

Step-by-step explanation:

f(x)=x^2-4x-5

f(x)=x^2+1x-5x-5

f(x)=x(x+1)-5(x+1)

f(x)=(x-5)(x+1)

To find zeros, we need to set f(x)=0

0=(x-5)(x+1)

0=(x-5) or 0=(x+1)

0=x-5 or 0=x+1

5=x or -1=x

Hence zeros of the given function are x=5 and x=-1.

We can plug some random numbers like x=0,1,2,... into given function to find few points then graph those points and join them by a curved line.

That will give the final graph as attached below:

for x=0,

f(x)=x^2-4x-5

f(0)=0^2-4(0)-5

f(0)=0-0-5

f(0)=-5

Hence first point is (0,-5)

Similarly we can find more points.

Hello there! Your answer is B.

A rational number is just a number that can be expressed as a fraction.

Let's start by simplifying each number:

A. [tex]-\sqrt{16}[/tex] = -4 or -4/1

B. [tex]\sqrt{0.4}[/tex] = 0.63245553203...

C. [tex]\sqrt{4}[/tex] = 2 or 2/1

D.  [tex]\sqrt{16}[/tex] = 4 or 4/1

Out of the options given, all of them can be simplified into a fraction, except for the second one, so that means that the second one is our irrational number.  

Answer:

The correct options should be B and C.

Step-by-step explanation:

Quadratic equation is an equation in which the highest degree of the variable is 2. No fractional power of variable is acceptable in the equation. So, the power of variable can be 0, 1, and 2 only.

The given equations are,

[tex]y=-x^2+5\sqrt{x}-16\\y=2x^2-12x+9\\x=2y^2-9y+4\\5x-3y=-6[/tex]

From the above equations, equation 1, 2, and 3 has degree 2. But in equation 1, the power of variable x is 0.5 which is a fraction.

So, equation 2 and 3 only are the quadratic equations.

Therefore, the correct options should be B and C.

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Answer:

the correct option is D: 1.33 just finished test need any other answers feel free to message me :)

Answer:

Step-by-step explanation:

The line is going from point (0;0) to point (12;16), the proportional relationship between these points refer to the slope of the line, which can be found with this expression:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Replacing all values we have:

[tex]m=\frac{16-0}{12-0}=\frac{16}{12}=1.33[/tex]

Therefore the relation shown in the graph is represented by 1.33 cm/s, which refers to the constant speed developed by the object.

Haruka hiked 8 kilometers in the morning. This is calculated by recognizing that the 6 kilometers she hiked in the afternoon was 25% less than her morning hike, making it 75% of her morning hike.

Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25% less than she had hiked in the morning. To solve this problem, let's represent the number of kilometers Haruka hiked in the morning as x.

Since the afternoon hike was 25% less than the morning hike, this means she hiked 75% of the distance she did in the morning in the afternoon. The 6 kilometers she hiked in the afternoon then represent this 75% of the morning hike.

We can set up the equation as follows: 0.75x = 6. To find x, we divide both sides of the equation by 0.75. So, x = 6 / 0.75 which simplifies to x = 8.

Therefore, Haruka hiked 8 kilometers in the morning.

Answer:

Elga is 25 and Alvin is 10

Step-by-step explanation:

25 - 10 is 15

25 + 10 = 35

Answer:

25  

Step-by-step explanation:

Let  A = Alvin's age

and E = Elga's age

We have two conditions:

(1)            A = E – 15

(2)    A + E = 35     Substitute (1) into (2)

E – 15 + E = 35     Combine like terms

   2E – 15 = 35     Add 15 to each side

          2E = 50      Divide each side by 2

            E = 25

Answer:

108° and 72°

Step-by-step explanation:

let one angle be x then the other angle is [tex]\frac{2}{3}[/tex] x

the sum of the 2 angles = 180°, hence

x + [tex]\frac{2}{3}[/tex] x = 180 ( combining the left side )

[tex]\frac{5}{3}[/tex] x = 180

multiply both sides by 3 then divide both sides by 5

5x = 540 ⇒ x = 108

the 2 angles are x = 108° and [tex]\frac{2}{3}[/tex] x = 72°

Answer:

sorry i cant add a comment but which is the smallest angle

Step-by-step explanation:

Answer:

c= 5

Step-by-step explanation:

right on edg 2020

A(1, 1), B(7, 1), C(1, 9)

AB = 7 - 1 = 6

AC = 9 - 1 = 8

Use the Pythagorean theorem:

AB² + AC² = BC²

Substitute:

BC² = 6² + 8²

BC² = 36 + 64

BC² = 100 → BC = √100 → BC = 10

The perimeter of ΔABC:

P = 6 + 8 + 10 = 24

Answer:

can you post the question

Step-by-step explanation:

first ask the question

Answer:

What type of geometry? What is your question? Or are you looking for tutoring?

Step-by-step explanation:

Answer:

k(- 7) = - 89

Step-by-step explanation:

to evaluate k(- 7) substitute n = - 7 into k(n)

k(- 7) = (10 × - 7 ) - 19  = - 70 - 19 = - 89

Answer:

k(- 7) = - 89

Step-by-step explanation:

N= -7 so K(n)= K(- 7)

to evaluate k(- 7)

k(- 7) = (10 × - 7 ) - 19  = - 70 - 19 = - 89

Answer:

30a+b

Step-by-step explanation: