3 teas and 2 coffees have a total cost of £7.80.

5 teas and 4 coffees have a total cost of £14.20.

Work out the cost of one tea and the cost of one coffee.​

Answers

Answer 1

Answer:

coffee is £1.80 per cup and tea is £1.40 per cup

Step by Step:

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equation (a), giving (c):(a) 6t + 4c = 15.60(c) 5t + 4c = 14.20We can then subtract (c) from (a), giving:t = 1.40T can then be substituted into the initial equation (a), to work out the value of c:(3 x 1.40) +2c = 7.804.20 +2c = 7.802c = 3.60c = 1.80Finally we can check these values by substituting into (b):(5 x 1.40) + (4 x 1.80) = 7 + 7.2 = 14.20Then make sure to show your answers clearly, with units:coffee is £1.80 per cup and tea is £1.40 per cup


Related Questions

4.55 rounded to the nearest hundredth

Answers

Answer:

its still 4.55

Step-by-step explanation:

I dont understand

Answer:

it will still be 4.55

Step-by-step explanation:

did you mean 4.55 rounded to the nearest tenth because then that would be 4.6

hope this helps :) have a nice day !!

Simplify the expression: 3x2⋅x2=


a

3x

b

3x4

c

3x2+2

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

The sum of Micah’s age and Aria’s age is 29. Aria is 5 years older than twice Micah’s age. Let x represent Micah’s age. The equation that can be used to find Micah’s age is
x + (x + 5) = 29.
x + (2 x + 5) = 29.
x + (2 x) = 29.
x + (2 x minus 5) = 29.

Answers

Answer:

x + (2x + 5) = 29

Step-by-step explanation:

Mica's age: x

Aria's age: 2x + 5

Sum of ages: x + (2x + 5)

Given sum of ages: 29

Equation: x + (2x + 5) = 29

Answer: x + (2x + 5) = 29

HELP I NEED THIS ANSWER FASTTTTTTTTTTTTTTTTTTTTT MY BRAIN IS ON 1 BRAIN CELL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the theoretical probability that two coins flipped together will both land on tails?

What is the theoretical probability that two coins flipped together will both land on heads?

What is the theoretical probability that two coins flipped together will land on heads and tails?

Answers

Answer:

1.We say a coin is fair if it has probability 1/2 of landing heads up and probability 1/2 of landing tails up. What is the probability that if we flip two fair coins, both will land heads up? It seems plausible that each should be equally likely. If so, each has probability of 1/4.

2.The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25.

3.his states that the probability of the occurrence of two mutually exclusive events is the sum of their individual probabilities. As you can see from the picture, the probability of getting one head and one tail on the toss of two coins is 0

Step-by-step explanation:

image inserted below

Answers

Answer:

you forgot the attachment

Step-by-step explanation:

...

Breyelle is planning on purchasing a new sports-utility vehicle. The list price of the one she is most interested in buying is $32,000. This vehicle is expected to depreciate in value by 8.5% per year.

Which model could be used to calculate the daily depreciation for this vehicle?

V(t)=32,000(0.0233)^t

V(t)=32,000(0.9150)^t

V(t)=32,000(0.9767)t^t

V(t)=32,000(0.9998)^t

Answers

Answer:

V(t)=32,000(0.9767)t^t

Step-by-step explanation:

The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

Breyelle is planning on purchasing a new sports-utility vehicle.

Here, The list price of the one she is most interested in buying is $32,000.

And, This vehicle is expected to depreciate in value by 8.5% per year.

Hence, the daily depreciation for this vehicle is,

V (n) = 32,000 (1 - 8.5%)ⁿ

V (n) = 32,000 (1 - 0.085)ⁿ

V (n) = 32,000 (0.915)ⁿ

Thus, The correct model which could be used to calculate the daily depreciation for this vehicle is,

⇒ V (n) = 32,000 (0.915)ⁿ

Learn more about the subtraction visit:

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find the volume of this cyilindar

Answers

Answer:

Formula =

[tex]\pi \: {r}^{2} h[/tex]

But there is no picture !!

Answer:

Formulas for calculating the volume of the cylinder:

1) The volume of the cylinder is equal to the production of the base area to a height. 2) The volume of the cylinder is equal to the pi (3.1415) per square of the base radius to height.

Help me pleaseeeeee​

Answers

Answer:

no

Step-by-step explanation:

it would say 5>8

A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12

Answers

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

Could anyone help, if you could?

Answers

Answer: Your answer is B! Hope you have an awesome day, and be kind be You!!! <3

Step-by-step explanation: Also, I'm 3D printing the Tesla Cyber truck, and this is the design I have so far. What do you think?

Pa sagot po pleaseee

Answers

Answer:

Step-by-step explanation:

haga la pregunta de nuevo, pero escríbala

Answer:

1. let x is the width

then

length = 2x

premiter = 2*( 2x+x) =  96

2. 3x = 24

3. let number is x

2/3 * x = 72

4. let two numbers are x, x+1

x + x +1 = 29

5.let number is x

then

4x+8 = 54

Step-by-step explanation:

how many hours helppp

Answers

Answer

17.27 hours

Step-by-step explanation:

lemme know if it's good :)

8TH GRADE MATH PLEASE HELL

Answers

Answer:

Step-by-step explanation:

x+21=133 (ext.∠)

x=112

Answer:

i cant really see it ?

Step-by-step explanation:

What is the elimination method in math?

Answers

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Hope this helps!

If you need a more in-depth answer, don't hesitate to ask!

Answer:

elimantion method in elimantion method, the coffecients of the given equations are mulitiplied by a constant to make the coffiecents of one variable  in the same in both equations. Finally any one variable remains at the end, which can then be easily solved.

Step-by-step explanation:

a cylinder has a base diameter of 6 feet and a height of 2 feet . what is its volume in cubic feet, to the nearest tenths place?

Answers

h=2ft
d=6 ft
r=d/2
r=6/2=3ft
V= π•r^2•h
V=3.14•3^2•2
V=3.14•9•2
V=56.52 ft3
V~56.5ft3

The Volume of cylinder in cubic unit is 56.52 feet³.

What is Volume?

'Volume' is a mathematical quantity that displays the amount of three-dimensional space occupied by an item or a closed surface in mathematics.

A volume is just the amount of space taken up by any three-dimensional solid. A cube, a cuboid, a cone, a cylinder, or a sphere are examples of solids.

We have,

Diameter = 6 feet

Radius = 6/2 = 3 feet

Height = 2 feet

So, the Volume of Cylinder

= πr²h

= 3.14 (3)² (2)

= 3.14(9) 2

= 3.14 (18)

= 56.52 feet³

Learn more about Volume here:

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a) Simplify
X-2
7(x - 2)2

Answers

Answer:

welp-

7(x - 2)2 = 14(x-2) = 14x-28

I hope this helps:)

-♥

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.



What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

Please help and hurry!! Ty!!

Answers

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

3x+x+y PLEASE HELP ME ITS DUE TODAY

Answers

Answer:

4x+y

Step-by-step explanation:

3x3x3x3x7x8x9
megan hughes answer only

Answers

Answer:

40824

Step-by-step explanation:

hi im here

Select the correct answer.
Consider this absolute value function.



If function f is written as a piecewise function, which piece will it include?

Answers

Answer:

I think it is C sorry if it wrong

Step-by-step explanation:

Answer:

I got A

Step-by-step explanation:

It was on Plato

in a bag of marbles 4 are
blue. 5 are white, and 11 are
red. What is the probability of
NOT drawing a red?

Answers

Answer:

3/4 or a 75%

Step-by-step explanation:

Can someone please tell me the answers but also explain how to do it? Thank you

Answers

Answer:

8: 90 degrees, 9: 165 degrees, 6: 81 degrees, 7: angles in the same segment are equal

Step-by-step explanation:

For question 8:

Notice how the line AB just barely touches the edge of the circle. We call this kind of line a tangent. The point O is at the center of the circle so the line OB is a radius. The angle between a tangent and a radius is always 90 degrees, so ABO is 90 degrees.

For question 9:

By the exact same logic as 8, ACO is also 90 degrees. The sum of interior angles in a 4 sided shape (a quadrilateral) is always 360 degrees. This means that 15 + 90 + 90 + x = 360 = 195 + x so x = 360 - 195 = 165

For question 6/7:

We use the theorem that the angles in the same segment are equal. This means that a is 81 degrees.

Malik is saving for a Playstation 5. He already has $120 and he is saving $20 per week. Is this scenario linear or nonlinear?

Answers

Answer:

the scenario is nonlinear

Step-by-step explanation:

to decrease an amount by 73 what single multiplier would you use

Answers

Answer:

0.73

Step-by-step explanation:

73 divide by 100 = 0.73

percents and numbers​

Answers

Answer:

16

Step-by-step explanation:

WILL GIVE BRAINLIEST, PLEASE HELP MEEEEEEE. 50 POINTS

Answers

Answer:

wat

Step-by-step explanation:

huhhshshshshsshwhbzbzbshszzbzbbzhshsbzbzbzbxb

Answer:

U never posted a question,I'd suggest u do that.

Step-by-step explanation:

Please help — Which ratio represents cos(c)?

Answers

48/50

option A is correct

please help i will mark branliest

Answers

Answer: 40yd²

Step-by-step explanation:

SA = All bases added up.

SA = (4 × 2 × 4) + (2 × 2 × 2) = 40yd²

Check whether A{x:x2 =25 and 6x= 125} is an empty set or not​

Answers

Given:

The set is

[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]

To find:

Whether the given set is empty or not.

Solution:

A set is called empty set if it has no elements.

We have,

[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]

We need to find the solutions of [tex]x^2=25[/tex] and [tex]6x=125[/tex]. The common solutions of these two equations are the elements of given set.

[tex]x^2=25[/tex]

[tex]x=\pm \sqrt{25}[/tex]

[tex]x=\pm 5[/tex]

[tex]x=5,-5[/tex]           ...(i)

And,

[tex]6x=125[/tex]

[tex]x=\dfrac{125}{6}[/tex]

[tex]x\approx 20.83[/tex]         ...(ii)

From (i) and (ii) it is clear that, there is no common value of x which satisfy both equations  [tex]x^2=25[/tex] and [tex]6x=125[/tex].

Since there is no element in set A, therefore, the given get A is an empty set.

value of x!?!?! I WILL MARK BRAINLIEST TO FIRST TO ANSWER!!!! THXX

Answers

tanx = opp/adj
tan39=x/32
(32)(tan39)= 25.9 or approx 26
x = 25.9 or approx 26
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