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:

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The 2 equations are

x + 2y = 8 → (1)

2x + 4y = 20 → (2)


Related Questions

Grace and Jackie are both accountants. They each charge their customers an hourly fee for their service, as described below. Grace charges $540 for 18 hours of service. Jackie charges $40 per hour. Who charges more per hour?

Answers

Answer:

Jackie

Step-by-step explanation:

Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.

The table shows the results for spinning the spinner 80 times. What is the relative frequency for the event​ "spin a 3​"?

Answers

Answer:

0.267

Step-by-step explanation:

the answer is 0.267

The table shows the results for spinning the spinner 80 times. The relative frequency for the event​ "spin a 3​" is 0.32.

How to find the relative frequency?

Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).

In the problem given,

The table shows the results for spinning the spinner 80 times.

Number of Outcomes of "Spin a 3"=16

Total Number of Trials =50

Therefore,

The relative frequency for the event​ "spin a 3​" = 16/50

                                                                             = 0.32

Learn more about conditional relative frequency here:

https://brainly.com/question/8358304

#SPJ2

Find the equation of the tangent line at the given point on the following curve.
x² + y² = 25, (-4,-3)
The equation of the tangent line to the point (-4,-3) is y=

Answers

The answer is:
y
=
3
4
x
+
25
4
.

Find the values of all 6 trigonometric functions for the angle inside right triangle where the opposite side of the angle is 9 cm and hypothenuse of the triangle is 13 cm.

Answers

Answer:

See below

Step-by-step explanation:

Find the missing leg x first using Pythagorean:

[tex]x=\sqrt{13^2-9^2} =\sqrt{169-81} =\sqrt{88}[/tex]

Now the 6 functions, considering angle α opposite to leg with length of 9:

sine = opposite/hypotenuse

sin α = 9 / 13

cosine = adjacent/hypotenuse

cos α = √88 / 13

tangent = opposite / adjacent

tan α = 9 / √88

cotangent = adjacent / opposite

cot α = √88 / 9

secant = hypotenuse / adjacent

sec α = 13 / √88

cosecant = hypotenuse / opposite

csc α = 13 / 9
P=9cmH=13cm

B=

[tex]\\ \sf\longmapsto \sqrt{13^2-9^2}=\sqrt{169-81}=\sqrt{88}\approx9.5[/tex]

Now

[tex]\\ \sf\longmapsto sinA=\dfrac{P}{H}=\dfrac{9}{13}[/tex]

[tex]\\ \sf\longmapsto cosA=\dfrac{B}{H}=\dfrac{9.5}{13}[/tex]

[tex]\\ \sf\longmapsto tanA=\dfrac{P}{B}=\dfrac{9}{9.5}[/tex]

[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{9.5}{9}[/tex]

[tex]\\ \sf\longmapsto secA=\dfrac{1}{cosA}=\dfrac{13}{9.5}[/tex]

[tex]\\ \sf\longmapsto cosecA=\dfrac{1}{sinA}=\dfrac{13}{9}[/tex]

find the inverse for the function f(x)= 14-3x/8-2x​

Answers

Answer:

y = 8x/93

Step-by-step explanation:

To get the find the inverse function, swap x and y and solve the equation for x.

Help help help help help help help

Answers

Here is ur perfect answer

Answer:

second one

Step-by-step explanation:

Help my first time learning this it’s an easy problem

Answers

Answer:

I don't know but I I would just say C maybe?

Answer:

I say do B

Step-by-step explanation:

B and C look approximately the same but B look smaller

If I’m wrong I’m srry :<

Would you rather have 15/20 of a pizza or 3/4 of a pizza? Explain your answer and how you solved the problem. plz hurry!

Answers

they are both equal and are the same value(75%)

Find the geometric mean between 18 and 7. Write your answer in radical form.



• 3 square root of 14


• 126



• 9 square root of 7



• 128

Answers

Answer:

option D is correct answer

What’s the solution to 2x - 2 > 2x + 4 ?

Answers

Answer:

This inequality isn't correct.

Step-by-step explanation:

2x - 2 > 2x + 4

Substituting any value for x, the result will be incorrect.

Actually,

2x - 2 < 2x + 4 is correct.

2x - 2x < 4 + 2

0 < 6


A high school track team's long jump record is 22 ft 6 3/4in. This year, Arthur's best long jump is 21 ft 10 1/2in. If long jumps are measured to the nearest quarter inch, how much farther must
Arthur jump to break the record?
To beat the school long jump record,

Arthur must jump an additional ___inches.

(Type a whole number, fraction, or mixed number.)

Answers

Arthur must jump an additional 8.25 inches so as to break the record.

1 foot =  12 inches

Long jump record = 22 ft 6 3/4in = 22 ft 6.75 in = (22ft * 12 in per ft) + 6.75 in

Long jump record = 270.75 in

Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in

Arthur's long jump record = 262.5 ft.

To break the record, the distance needed to be jump by Arthur = 270.75 in - 262.5 ft. = 8.25 in

Arthur must jump an additional 8.25 inches so as to break the record.

Find out more at: https://brainly.com/question/20796404

PLEASE HELP!!!!!!!! PLEASE DON’T SEND LINK(S). LOOK AT THE PICTURE HAS ALL THE INFORMATION.

Answers

Answer:

5

Step-by-step explanation:

50÷5=10-5=5

wished it helped.

-5 1/5 + 3.7 + 5 1/10 how to solve

Answers

Answer:

to find the answer u have to simplify


Help help help help help

Answers

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

Additional comment

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.

Answers

hope this helps

<3

srry if this is wrong

có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD

Answers

Answer:

4 better inbox

Step-by-step explanation:

The library owns 80,000 books. 90% of the books are fiction books. How many fiction books does the library own?

Answers

Answer:

72 000 fiction books

Step-by-step explanation:

80000 * 90% = 80000 * 0,9 = 72000

Answer:

The library own 72,000 fiction books.

Step-by-step explanation:

# of fiction books =(total # of books)(% of fiction books)

[tex]B_f=(80,000)(.90)=72,000[/tex]

Determine which of the following graphs does not represent a function.
Determine which of the following graphs does not represent a function.

Answers

Answer: The graph I have attached an image of does not represent a function.

Step-by-step explanation:

This is because if we take the vertical line test, which is to draw a vertical line through any point of the x-axis. If the line passes through two points when it is vertical, the line doesn't represnt

a function.

Answer:

The correct answer goes from the 1st quadrant to the 4th quadrant.

Step-by-step explanation:

~Hope this helps!

is the function y = -7 a linear function?

Answers

Answer: Yes it is linear.

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. What
percentage was the discount?

Answers

Answer:

85%

Step-by-step explanation:

71.40/84=0.85. multiply the decimal by 100 to get the percentage

If Isabella runs 23 mile each day, how many miles will Isabella run in 6 days?

Answers

Answer:

[tex]138[/tex] miles in 6 days

Step-by-step explanation:

Our [tex]Rate[/tex] is [tex]23[/tex] miles per day.

Definition

Rate in Math - The speed of something happening in a certain amount of time, it is usually consistent.

Rate in Physics - Rate means rate of change. Basically, how much a certain quantity changes with respect to another quantity that is also changing. You may also sometimes hear the term gradient which describes the same thing.

To find how many miles she will run in 6 days we will multiply our [tex]Rate[/tex] by our Time, to find our distance, [tex](Miles, Physics)[/tex]

Our equation

[tex]23\cdot6[/tex]

Solve

[tex]138[/tex] miles in 6 days

Brainliest please :)

Yamuna is getting ready to attend Wittenberg University in the fall. She needs 6 notebooks
at $2.19 each and a chromebook at $529.00. If she has $575 to spend, how much does
she have left for lunch?

Answers

Answer:

she has $32.86 left for lunch

Step-by-step explanation:

6 books at $2.19 each equals $13.14. plus the chrome book at 529. 529+13.14= $542.14

$575-542.14 equals $32.86

Please help! Only answer if correct.

Answers

After driving x miles, the first plan costs

60 + 0.70x

dollars, while the second plan costs

0.80x

dollars.

The plans cost the same when these prices are equal:

60 + 0.70x = 0.80x

Solve for x :

60 = 0.80x - 0.70x

60 = 0.10x

x = 60/0.10

x = 600

Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.

Answers

This can be represented by the exponential function:

[tex]P=378(2)^\frac{t}{36}[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

[tex]P=378(2)^\frac{t}{36}[/tex]

Find out more at: https://brainly.com/question/12490064

a toll box has 10 screw drivers and 6 wrenches Bella puts 8 more wrenches in the tool box how many more wrenches are in the toolbox

Answers

If you are asking how many more are in the box it would be 8 because you added 8 more but in total there are 14 wrenches

Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3 the distance the ant is below the ground level. the beetle is now 2 1/2 inches below ground level. Let X be the position of the ant relative to ground level. what equation can be written to solve for X? solve the equation.​

Answers

Answer:

1a:  [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b: See below

1c:  [tex]2\frac{3}{4}[/tex] inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b. Solve the equation written above from 1a.

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

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

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= [tex]5\frac{1}{4}[/tex]

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

5 1/4 - 2 1/2 =  [tex]2\frac{3}{4}[/tex]

What is the value of v?

Answers

By isosceles triangle theorem,

Angle ZXY = Angle ZYX

The sum of the angles in a triangle is 180 degrees.

106 + 2 same angles (-106) = 180 (-106)  (Subtract 106 by both sides)

2 same angles (/ 2) = 74 (/ 2)   (Divide 2 by both sides)

V = 37

Answer:

The value of v is 37°.

Step-by-step explanation:

Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:

Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,

∠ZXY + ∠ZYX + ∠XZY = 180°

v + v + 106° = 180°

2v + 106° = 180°

2v = 180° - 106°

2v = 74°

v = 74 ÷ 2

v = 37°

Circle A’s circumference is 3 times the value of Circle B’s Area. Find Circle B’a radius.

Circle A’s diameter is 27.

Formulas = A=(pi)r^2 and C=(2pi)r^2

Leave it in terms of pi if you do get pi left.

(Pi) = pi symbol (Brainly won’t let me use it.)

Thank you if you do answer it, I will give Brainlyist and a lot of pints!!

Answers

(side note: your formula C = 2πr^2 is incorrect, it should be C = 2πr)

Answer:

r = 9

Step-by-step explanation:

First let's find the circumference of Circle A. To use the formula we need radius. Since we have a diameter just divide by 2 to get radius. 27 / 2 = 13.5

Now plug that into C = 2πr: 2π*(13.5) = 27π

The question says that the area of circle B is 3x this value, so Circle B's area must be: 27π * 3 = 81π

Now plug that into A = πr^2 and solve for r:

[tex]81\pi=\pi r^{2}\\81=r^{2}\\\sqrt{81}=r\\9=r[/tex]

(edited to correct a brain fart)

Shape l and ll are what?

Answers

Answer:

a trapezoid:ll and a dented triangle:l

Apply the distributive property to factor out the greatest common factor.
6+30=6+30

Answers

6 + 30

The greatest common factor is 6, so take it out. We get...

6 (1 + 5)

Let's verify it.

6 (1 + 5) = 6 + 30

6(6) = 6 + 30

36 = 36

LHS = RHS, Hence proved.

______

RainbowSalt2222 ☔

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