The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:

Let the cost of 1 pencil be £x, and the cost of 1 eraser be £y. Write two linear equations in x and y:

Answer:

d because your taking away 6 from the 275

Step-by-step explanation:

Answer:

A) 1/12

Step-by-step explanation:

for every 1 that x increase f(x) increases 12

Answer:

1

Step-by-step explanation:

Answer:

no its not a proportion

Step-by-step explanation:

because the line has to be straight unless the graph is scrap

Answer:

"Yes, it is a proportional relationship because the graph is a straight line"

Step-by-step explanation:

Your welcome ^^

Answer:

y = 2x + 2

Step-by-step explanation:

for each rise of 4 in y

there is a run of 2 in x

m = rise/run

m = 4/2

m = 2

when x = 0, y = 2

therefor the y-intercept, b = 2

y = mx + b

y = 2x + 2

Answer:

92.

Step-by-step explanation:

By proportion the mass of zinc = (345/ 15) * 4

= 92.

Answer:

(x+1)(x+8)

Step-by-step explanation:

I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.

Answer:

edficycle cycle shop luisa sella otuff

Answer:

To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.

1. add all numbers

46+37+34+31+29+24 = 201

2. divide the sum (201) by the amount of numbers you added (6)

201/6 = 33.5

3. and you're done! the mean (which is basically the average) of the given numbers is 33.5

Step-by-step explanation:

we mulyiply 3*1 =x-7

3=x-7

-x= -7-3

-x= -11 so when we divide -11 by -x it becomes 11

Answer:

D

..............................

Answer:

No. It is not greater than 3/8

Step-by-step explanation:

3/8 x 100

=> 300/8

=> 37.5

=> 26% < 37.5%

Therefore, 26% is not greater than 3/8 or 37.5

Hoped this helped.

Answer:

11/9 OR 1 and 2/9

Step-by-step explanation:

5/9 + 4/6

get like deonimators by mutiplying top and bottom by same thing --- afterall mutiplying by 2/2, 3/3, 4/4.. etc is mutiplying by 1... not changing anything!

So:

(2/2)*(5/9) + (3/3)(4/6) =  10/18 + 12/18 = 22/18

Which can be simplified :)

11/9 ORRR 1 and 2/9

Step-by-step explanation:

rules? I like get brainlist pleaseee :00 it's totally A

Answer:

The slope is 2/3

Step-by-step explanation:

hope this answer helps!!!

Answer: The answer is 8/9

Step-by-step explanation:

Answer:

53/9 or 5 and 8/9

Step-by-step explanation:

5 1/3 + 5/9

we can convert 5 1/3 to a fraction by multiplying 5 times the denominator and adding 1 (the numerator) to it. we get

16/3

we now need to get common denominators. the least common denominators is 9, so we multiply 16/3 by 3/3 and we get:

48/9

now we can add the two:

48/9 + 5/9 = 53/9 or 5 and 8/9

Answer:

1.0833 yd

Step-by-step explanation:

Inches    Yards

37"         1.0278 yd

38"         1.0556 yd

39"         1.0833 yd

40"         1.1111 yd

Have a great day! :D

Answer:

1,800

Step-by-step explanation:

15 x 3 x 40 = 1,800

( A box)

Answer:

800 i think

Step-by-step explanation:

Answer:

[tex]\displaystyle f < \frac{-45}{7}[/tex]

General Formulas and Concepts:

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle -42 > 7f + 3[/tex]

Step 2: Solve for f

Topic: Algebra I

Unit: One-Variable Equations

Answer:

-369

Step-by-step explanation:

Replace r with 10.

9(-3(10)-10))

9(-30-11)

9*-30+9*-11

-270+ -99

-369

Hope this helped. :)

Answer:

a) single replacement

b)decomposition

Step-by-step explanation:

a) im not so sure but pretty sure its tight

b) decomposition requires energy so therefore can only be this

Step-by-step explanation:

The text below that are formatted in bold and underlined font are the solutions to the missing boxes in your given problem.  

Given that ∠1, ∠2, ∠3, and ∠4 are formed by two intersecting segments, and that:

∠1 and  ∠2 form a linear pair  

∠2 and ∠3 form a linear pair  

These linear pair relationships suggest that by the Linear Pair Postulate:

∠1 and ∠2 are supplementary.    ⇒  Linear Pair Postulate

∠2 and ∠3 are supplementary.    ⇒  Linear Pair Postulate

m∠2 + m∠ 3 = 180°  ⇒  Definition of supplementary angles.

m∠1 + m∠3  = m∠2 + m∠ 3  ⇒  Substitution Property of Equality.          

m∠1  =  m∠3   ⇒  Subtraction Property of Equality.  

This can be simplified to 2x-y = 2

Solving for y leads to y = 2x-2

========================================================

Explanation:

Anything perpendicular to Ax+By = C is of the form Bx-Ay = D

The given equation 2x+4y = 14 tells us that A = 2, B = 4, C = 14.

So Bx-Ay = D updates to 4x-2y = D.

We'll plug in the coordinates of the given point (x,y) = (4,6) to solve for D.

4x-2y = D

D = 4x-2y

D = 4(4)-2(6)

D = 16-12

D = 4

So 4x-2y = D updates to 4x-2y = 4

Optionally, we can divide each term by 2 to go from 4x-2y = 4 to 2x-y = 2

If we wanted to solve for y, then we'd get y = 2x-2

Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

Answer:

Step-by-step explanation:

Use the half angle formulas

sin(θ/2) = ±√((1 - cosθ)/2)

sin(θ/2) = ±√((1 - (3/5))/2)

sin(θ/2) = ±√((2/5)/2)

sin(θ/2) = ±√(1/5)

knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.

sin(θ/2) = +√(1/5) = √0.2

This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation

[tex]P(x)=(200-5x)(250+10x)[/tex]

(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0

[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]

This is the initial condition where if we sell 200 plots at $250/plot.

So, this equation makes sense.

Now, let's maximize using the first derivative of the function.

Let's get it into an easily differentiable form.

[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]

From here, differentiate the problem.

[tex]P'(x)=-100x+750[/tex]

Now, set it equal to zero and solve for x.

[tex]P'(x)=-100x+750=0\\x=7.5[/tex]

This a critical point of the function. Let's plug back into the original equation to see what it gives us.

[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]

You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.

In order to sell 162 plots

[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit

[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]

Now, do the same for 163 plots

[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]

As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.

Answer:

3x8m= 14 is the equation that matches the description.

Step-by-step explanation:

It is simply the number three, multiplied by eight with the variable m, and is equal to the number 14.

Answer:

A: Walking

Step-by-step explanation:

-It cannot be biking because the constant of proportionality (COP) is 9.5 miles (per hour).

-It cannot be running because the COP is 5 miles (per hour).

-It cannot be swimming because the COP is 4.5 miles (per hour).

he is walking

14 divided by 4 is equivalent to 3.5 the equation being 14/4=3.5 or 3 1/2