2 regular pizzas and 3 small pizzas cost £22 6 regular pizzas and 12 small pizzas cost £78
find the cost of one each ​

Answers

Answer 1

Answer:

Regular pizza: £5

Small pizza: £4

Step-by-step explanation:

Let x = regular pizza

Let y = small pizza

6x + 12y = 78

2x + 3y = 22

I'm going to use elimination method to solve for y

6x + 12 y = 78

-3(2x + 3y = 22) = -6x -9y = -66

Eliminate the x

3y = 12

Divide both sides by 3

3y/3 = 12/3

y = 4

Substitute the y in one of the original equations

2x + 3(4) = 22

2x + 12 = 22

Subtract both side by 12

2x + 12 - 12 = 22 - 12

2x = 10

Divide both sides by 2 to solve for x

2x/2 = 10/2

x = 5

Answer 2

Answer:

small  $3.4   regular $6.2

Step-by-step explanation:

2r +3s = 22.6

6r *12s = 78

Multiply the first  by -3

-6r -9s = -67.8

6r +12 s = 78

Add both (6r will be cancelled)

   3s = 10.2

s = 3.4   small = 3.4   (3 small = 10.2)  

2r +10.2 = 22.6

2r =  12.4

r = 6.2


Related Questions

a bamboo plant grows 53 1/4 inches in 1 1/2 mouth's what is the bamboo's growth rate in inches per month​

Answers

256 inches
Explanation
I did it like 2 weeks ago

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?
261,000
261,000
2,351,000
2,351,000
18,810,000
18,810,000
41,210,000

Answers

Answer:

2,351,000

Step-by-step explanation:

closest to the volume in cubic feet

-7n = 84 round to the nearest hundredth​

Answers

Answer:

n=-12

Step-by-step explanation:

Divide 84 by -7 and you get -12

4,192 ÷ 3 explination

Answers

Answer:

[tex]1397\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

1,397.33333

Step-by-step explanation:

4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.

Shirts are $12 each and Mary has no more than $48 to spend.How many shirts can she purchase

Answers

Answer:

4 shirts

Step-by-step explanation:

$48/$12= 4 shirts

Hope this helped! :)

Lupe needs to make a poster that is 2 m by 4 m for the big game. The cost of the paper is $1.75. Later she needs another poster with dimensions 1 m by 2 m. What is the paper for this poster likely to cost

Answers

Answer:

$0.42

Step-by-step explanation:

Given data

Dimension

Length=4m

Width=2m

Cost=  $1.75

Area= 4*2= 8m^2

Cost per area=1.75/8

Cost per area=$0.21 per m^2

The new poster's dimension

Lenght =2m

Width= 1m

Area= 2*1= 2m^2

Hence if a square meter cost $0.21

Then 2 square meter  will cost x

cross multiply

2*0.21=x

x=$0.42

Hence the new poster will cost $0.42




Solve for y:
x + 2y = -8

y=-1/2x+4
y=-1/2x-4
y=-2x - 4
y=1/2x-4

Answers

Answer:

x + 2y = -8 = y = -4 - 1/2x

y= -1/2x + 4 =  y = 4

y= -1/2x - 4 = y = -4

y=-2x - 4 = y = -4

y=1/2x-4 = y = -4

Step-by-step explanation:

(x + 2y = -8 = y = -4 - 1/2x)

[tex]x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\[/tex]

What the answer to this please

Answers

Answer:

The answer for x is 80°

Step-by-step explanation:

60°+40°+x=180°

X=180°-60°-40°

X=80°

It’s 80 because the sum of all the angles should be 180 so you’d subtract the angles u already have which is 60+40=100 and then u subtract that from 180 and u get 80

X=80

PLEASE HELPPPP THE DROP DOWN MENUES ARE ALL THE SAME

Answers

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18

Answers

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

How to calculate the axis of symmetry of a function?

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h


Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

Ben walks to the zoo, and then walks to the city park. What is the least number of blocks Ben walked?

Answers

Solution :

It is given in the question that Ben goes to the zoo by walking and then he walks down to the city park. He moves several blocks while walking from his home to the zoo and then to the city park.

The figure is provided below.

So from the picture, the least number of blocks that Ben had walked from his home to the city park can be found out by counting the number of blocks he moved.

So the least number of blocks will be = 19

A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?​

Answers

Answer:

Length will be 173

Step-by-step explanation:

What percent of 21 is 105? ​

Answers

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

21:105*100 =

(21*100):105 =

2100:105 = 20

r s + 14s when r=6 and s=1/4

Answers

Answer: 5

Explanation:
Basically you just change the letter for the number since R equals 6 then in the equation it would be 6 instead of R. Then for S, S would equal 1÷4 which equals 0.25. Then you plug in the numbers into your equation so look something like this 6 x 0.25 + 14(0.25) and all that together equals 5.

Hope this helped :)

I need answer immediately!!!!!!

Answers

Answer:

y = -2/3x - 5

Step-by-step explanation:

What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4

Answers

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?

Answers

Answer:

the answer is 456,976,000

Answer:

✅ C. 456,976,000

⬇️ i got it right

ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?​

Answers

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

What is the formula for probability?

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2

HELPPPPPP
solve the equation for x

2/3x-1/9x+5=20

Answers

Answer:

x=27

Step-by-step explanation:

You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.

If this has helped you please mark as brainliest

4. If f(x)=2x+3(x+4)+5 then f(6)=?

Answers

Answer:

f(6)=42

Step-by-step explanation:

We know that the equaiton is f(x)=2x+3(x+4). So that means when it is f(6), we plug in 6 into all of the x. Therefore, the equation will be f(6)=2(6)+3(6+4). We combine like terms to get f(6)=12+3(10). We do 3x10 which is equal to 30. f(6)=30+12. 30+12=42. f(6)=42. Therefore, f(6)=42.

If this has helped please mark as brainliest

Answer: 47

Step-by-step explanation:

That just means replace the x’s with 6 in the equation. So 2*6+3(6+4)+5. 6+4 is 10, 2*6 is 12. So the equation is now 12+3(10)+5. 3*10 is 30. 12+30+5=47.

I need help ASAP! 20 point
I’m the xy-plane, a line has a slope of 6 and passed through the point (0,8). Which of the following is an equation of this line?

Answers

Answer:

A)  y = 6x + 8

Step-by-step explanation:

Ravi worked 6 days for a total of 64.2 hours. If he worked the same number of hours each day, how many hours did he work in a day

Answers

Answer:

10.7 hours per day

Step-by-step Explanation:

The total is 64.2.

If Ravi worked for 6 days and worked the same amount of hours each day then you do:

64.2 hours ÷ 6 days = 10.7 per day

Hope this helps!-Finny

Kevin is rolling two dice together and adding them up. Which sums should come up the most frequently?

Answers

Answer:

7 occurs most frequently.

Step-by-step explanation:

If we roll two dice, we do get sample space as

(1,1) = 1+1 =2        (4,1)=4+1=5

(1,2)= 1+2 =3        (4,2)= 34+2=6

(1,3)= 1+3=4         (4,3)= 4+3=7

(1,4)=1+4=5          (4,4)= 4+4=8

(1,5)=1+5=6          (4,5)= 4+5 =9

(1,6)=1+6=7           (4,6)= 4+6=10

(2,1)= 2+1=3          (5,1)= 5+1=6

(2,2)=2+2=4         (5,2)=5+2 =7

(2,3)= 2+3=5        (5,3) =5+3=8

(2,4)=2+4=6         (5,4) =5+4 =9

(2,5)=2+5=7          (5,5)=5+5=10

(2,6)=2+6=8          (5,6)=5+6=11

(3,1)=3+1=4            (6,1)= 6+1=7

(3,2)=3+2=5          (6,2)=6+2=8

(3,3)=3+3=6           (6,3)=6+3=9

(3,4)=3+4=7           (6,4) =6+4 =10  

(3,5) =3+5=8          (6,5)=6+5=11

(3,6)=3+6=9            (6,6)=6+6=12

2 occurs for 1 time

3 occurs for 2 times

4 occurs for 3 times

5 occurs for 4 times

6 occurs for 5 times

7 occurs for 6 times

8 occurs for 5 times

9 occurs for  4 times

10 occurs for 3 times

11 occurs for 2 times

12 occurs for 1 time.

So, 7 occurs most frequently.

what is the area of the figure below​

Answers

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

Given circle Q a measure of SR = 120 degree and a radius of 9 feet, as shown below determine the arc length of SR use mathematics to explain how you determined your answer. 

Volume and circles
Help please ❤️

Answers

Answer:

Arc length SR = 18.85 ft

Step-by-step explanation:

To get the arc length, we use the formula below

theta/360 * 2 * pi * r

theta is the central angle subtended by the arc which is 120 degrees

r is the radius of the circle which is 9 ft

Substituting these values, we have

120/360 * 2 * 3.142 * 9

= 18.85 ft

I need answers asap please!!!:)​

Answers

Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

The slideat the playground has a height of 6ft. The base of the slide measured on the ground is 8ft. What is the length of the slide?

Answers

Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the surface area of the large cylinder.

Answers

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

A ____ can be observed by all people on the side of the earth experiencing night. Group of answer choices Solar Eclipse Sunrise Lunar Eclipse Gravitation attraction of the sun

Answers

Answer:

Lunar Eclipse

Step-by-step explanation:

Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.

It rains 7 out of every 10 days.

What is the chance of rain on one day?

Answers

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation:

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