A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.

Answer:

A is A=25

B=10

B is 40

C is A=10

B=6.428

hope i helped you

sorry if it is incorrect

Answer:

207,503

Step-by-step explanation:

you just have to add the 4 numbers so you get 207,503

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▹ Answer

207,503

▹ Step-by-Step Explanation

200,000 + 7,000 + 500 + 3

= 207,503

Hope this helps!

CloutAnswers ❁

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Answer:

the slope is 5

Step-by-step explanation:

Solve for y

20x -4y = 40

Subtract 20x from each side

20x-20x -4y = -20x +40

-4y = -20x+40

Divide each side by -4

-4y/-4 = -20x/-4 +40/-4

y = 5x -10

This is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 5

Solve for y:

20x - 4y = 40

Subtract 20x to both sides

-4y = 40 - 20x

Divide -4 to everything

y = -10 + 5x

Therefore, the slope is 5

Best of Luck!

Answer:

[tex]y=csc(\theta)[/tex]

[tex]y=cot(\theta)[/tex]

Step-by-step explanation:

I will just change

[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]

For

[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]

Also, note that sine and cosine function don't have asymptotes.

The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]

It happens because the cosecant function is undefined for those values.

The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].

On the other hand, the vertical asymptotes of tangent function occur at:  

[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]

It happens because the tangent function is undefined for those values.

Answer:

It's y = csc x and y = cot x.

Step-by-step explanation:

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

Answer:

40z + 5

Step-by-step explanation:

I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2

Hope this helped

Answer:

The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)

Step-by-step explanation:

In the problem, we a re given an equation.

32z⁴ + 8z³ - 4z²

We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.

A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.

4(8z⁴ + 2z³ - z²)

So, this is your factored expression from the given equation.

Solution: in the picture

hope it helps^°^

Answer:

Hey there!

We can write this equation: 2x+4x=180

6x=180

x=30

Hope this helps :)

The two angles are supplementary angles. When added together they equal 180 degrees.

2x + 4x = 180

Combine like terms:

6x = 180

Divide both sides by 6:

X = 180/6

X = 30

Answer:

Third grade secondary = 87 students

Step-by-step explanation:

First grade = 30/100 x 250 = 75 students

Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.

Third grade = 250 - 88 - 75 = 87 students

Answer:

third grade secondary = 87 students

Step-by-step explanation:

:T

Answer:

The average temperature per hour:

-2.5 °F

Step-by-step explanation:

(-12-48) / 24 =  -60/24

-60/24 = -2.5

In average decrease:

2.5°F

per hour

Answer:

Step-by-step explanation:

Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.

[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]

Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]

Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°

Converting to radians;

180° = πrad

15° = 15π/180 rad

15° = π/12 rad

345° = 345π/180

345° = 23π/12 rad

The values in radians are  π/12 rad and  23π/12 rad

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 6052 m²

width = 68 m

To find the length substitute the values into the above formula

6052 = 68l

Divide both sides by 68

We have the final answer as

Hope this helps you

Answer:

f(1) = 10.33985 + 18.1294406 i

Step-by-step explanation:

f(1) = 4log2(1-7)

f(1) = 10.33985 + 18.1294406 i

Answer:

f(x) = Ix - 2I -3

Step-by-step explanation:

f(x) = IxI

f(x) = Ix - 2I -3

The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

If you apply the changes below to the absolute value parent function

f(x) = |x|

Then the equation of the new function will be

Shift 2 units to the right, shift 3 units down

f(x) = | x – 2 | + 3

Then the vertex of the absolute function will be at (2, 3).

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ5

Answer:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Step-by-step explanation:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Answer:

Hope it helps this is an isosceles triangle

Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]

Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$

Range: $[-\frac{3}{2}, -\frac{1}{2}]$

Midline: $y=-1$

Complete question:

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.

Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.

Answer:

Point : ( -2, 15 )

Step-by-step explanation:

Answer:

C) (–5,2), (–3,2), (–3,4)

Step-by-step explanation:

A) (4,–2)

B) (4,3), (0,5), (0,1)

C) (–5,2), (–3,2), (–3,4)

D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

For quadrant two the points are always (-x,y) and x is always negative.

Image shows quadrant places.

Answer:

The answer will be y=2x-1

Step-by-step explanation:

With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.

Going down is 4 points, and over is 2.

4/2 is 2.

This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.

Thank you, if you need any more help let me know.

Answer:

The car would be worth 1200.

Step-by-step explanation:

  Okay, the way to solve this type of question is quite simple,

you would start with the amount is lost per year being $325 a year, then multiply that by the 4 years grandpa waited and then subtract the overall amount lost in worth of the car from the original price and you got your answer.

The math: 2500-(325*4)=1200

Answer:

[tex]f(t)=20000(0.85)^t[/tex]

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

[tex]f(t)=P(r)^t[/tex]

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

[tex]f(t)=20000(0.85)^t[/tex]

Answer:

Hey There!! The answer to this is Correct option: 1) 2600 The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, Correct option: 1)

Hope It Helped!~ ♡

ItsNobody~ ☆

The total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

The missing options are:

We have:

The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats

As we know, in the alphabet(A to Z) there are the 26 letters and total number of digits (0 to 9) is 10

A total number of combinations of letters followed by two digits can be calculated as follows:

As we have one letter and two digits

= 26×10×10

= 2600

, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Thus, the total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ5

Answer:

C)28in

Step-by-step explanation:

To get the area of this face, we will divide it into 3 sections.

Area of the 1st section:

Given:

l=4in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in^2

Area of the 2nd section:

Given:

l=2in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=2in*2in

a=4in^2

Area of the 3rd section:

l=8in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in*2in

a=16in^2

a1+a2+a3=Area of the face

8in^2+4in^2+16in^2=28in^2

Hope this helps ;) ❤❤❤

Step-by-step explanation:

Hello, there!!!

The answer is option D.

I have given solution on the picture.

Hope it helps.....

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

Answer:

5.3589 or 5.36

Step-by-step explanation:

tan (15) = x / 20

x = 40 - 34.64

x = 5.36

Answer:

[tex]\huge\boxed{-\frac{3}{25} }[/tex]

Step-by-step explanation:

-0.12 in fraction form can be written as:

=> - 12/100

=> - 6 / 50

=> - 3/25

Answer:

[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]

Step-by-step explanation:

Convert the decimal to a fraction.

-(0.12) = -(12/100)

Simplify the fraction.

-(12/100) = -(6/50) = -(3/25)

Answer:

False.

Step-by-step explanation:

For the statement: "If 6 • 3 = 18, then 4 + 8 = 20.":

6 * 3 = 18

If you added two after multiplying 6 and 3, you would get 20.

(6*3) + 2 = 20

8 + 4 does not equal 20.

8 + 4 = 20

12 ≠ 20