Andrew bought four bottles of lemonade and two bottles of water for €2.45. From the same shop Michael
bought two bottles of lemonade and four bottles of water for €2.35. What is the total cost of one bottle of
lemonade and one bottle of water?

Answers

Answer 1

Answer:

0.8 euro

Step-by-step explanation:

Suppose the price of bottle of lemonade is x, when the bottle of water costs y.

Four bottles of lemonade cost 4x, two bottles of water cost 2y

4x+2y=2.45

Two bottles of lemonade cost 2x, four bottles of water cost 4y

2x+4y= 2.35

These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so

multiply the first one by -2

-8x-4y=-4.9

-8x-4y+2x+4y= -4.9+2.35

-6x=-2.55

x=0.425 euro - the cost of bottle of lemonade

y=(2.45-4*0.425)/2

y=0.375 euro - the cost of bottle of water

0.425+0.375= 0.8 euro - the total cost  of one bottle of

lemonade and one bottle of water

Answer 2

Answer:

price of lenonade bottle is 0.425

price of water bottle is 0.375

Step-by-step explanation:

In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.

All explaination is in picture below.

Andrew Bought Four Bottles Of Lemonade And Two Bottles Of Water For 2.45. From The Same Shop Michaelbought

Related Questions

Can someone help me with number 4 plzz

Answers

Answer:

-60.4 dollars

Step-by-step explanation:

Remember to do subtraction for the net worth if you count a loss.

225.45 - 285.85 = -60.4

Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did Ahmad travel by Train Y? b) What was the total distance that Ahmad travelled?

Answers

Hey there! I'm happy to help!

Train X takes out 1/4 of our journey.

Now, we have 3/4 of the journey left.

Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!

3/4*3/4= 9/16

So, 9/16 of the total journey is done by Train Y.

A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.

So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.

3/16d=10

Divide both sides by 3/16.

d= 53 1/3

We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.

53 1/3 * 9/16= 30

So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.

Have a wonderful day and keep on learning! :D

Look at the two points on the number line. Each number graphed is the square root of a whole number that is not a perfect square. Write appropriate square root in each box. Explain how you found those answers.

Answers

Answer:

2.8 and 4.4

Step-by-step explanation:

The distance between tick marks is 0.25.

Since the first number is greater than 2.75, we can approximate is as 2.28.

The second number is less than 4.50, we can approximate it as 4.4.

Please help its line segments

Answers

Step-by-step explanation:

[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]

Answer:

x=13

Step-by-step explanation:

BC = CD

6x-16 = 4x+10

Subtract 4x from each side

6x-16-4x = 4x+10-4x

2x-16 = 10

Add 16 to each side

2x-16+16 = 10+26

2x = 26

Divide by 2

2x/2 =26/2

x = 13


Can someone please do this maze for me and show work?! Dm me and help me plsss

Answers

Answer:

See the attached

Step-by-step explanation:

Use midpoint formula to calculate x or y- coordinates.

A(x₁, y₁), B(x₂, y₂)M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

−1 4/5−(−2 7/8)

4 3/4−(−1 1/12)

−1 4/5−(−2 7/8)

3 1/3-5

−1/3−(−1/2

Answers

Answer:

1) 43/40

2) 35/6

3) 43/40

4) -5/3

5) 1/6

Step-by-step explanation:

1)  -1 4/5 = -(1*5 +4)/ 5= -9/5

or          1= 5/5  so -1 4/5= -( 5/5+ 4/5)=-9/5

-2 7/8= -(2*8+7)/8=-23/8

=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40

                                                                                =  43/40

2) 4 3/4= (4*4+3)/4= 19/4

-1 1/12= -(1*12+1)/12= -13/12

=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6

3) same like 1)

4) 3 1/3 = (3*3+1)/3= 10/3

=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3

5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6

Shirts are on sale at a price of $50 for 4. How many shirts can be purchased for $125?
A) 2 B) 8 C) 9 D) 10​

Answers

Answer:

10 shirts

Step-by-step explanation:

We can use a ratio to solve

50 dollars           125 dollars

-------------------- = -------------------

4 shirts                   x shirts

Using cross products

50 *x = 4 * 125

50x = 500

Divide each side by 50

50x/50 = 500/50

x = 10

Answer:

D. 10

Brainliest, please!

Step-by-step explanation:

50/4 = 125/x

25/2 = 125/x

25 = 250/x

x = 250/25

x = 10

The outside temputure was -4 f in the morning and 13 f in the afternoon.by how much did the temputure increase

Answers

Answer:

17

Step-by-step explanation:

You need to add 4 degrees to get to 0.

You need to add 13 degrees to get to 13

The total = 4 + 13 = 17                      

(6,7) m=2/3 in standard form.

Answers

Answer:

b

Step-by-step explanation:

Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5

Answers

Answer:

a)

[tex] \frac{3.6}{1.5} = \frac{36}{15} = 2.4[/tex]

b)

[tex] \frac{42}{0.21} = \frac{4200}{21} = 200[/tex]

c)

[tex] \frac{200}{0.5} = \frac{2000}{5} = 400[/tex]

I hope I helped you^_^

8. 7.6 + (-7.1) = what does it equal plz help

Answers

Answer:

vsddddddddddddddddddddddddddddddddddddddddddddddddddddddbgtresxvzjdhdf;lsjb

Step-by-step explanation:


20.
What is the distance from the point (3,8) to the
point (7,-6)?
a. 2V5 units
b. 2V 47 units
c. 2V 51 units
d. 2V53 units
e. 2V74 units

Answers

Answer:

the answer is d using the distance formula

please help me it's for my homework​

Answers

the answer yo your question is 33.6%.

Answer:

33.6%

Step-by-step explanation:

You just put the decimal in front of the 6 and then you add the percent after the 6.

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE SOMEONE

Answers

C because of the number and based on the joints that it caused

please help only real answers please

Answers

Answer:

D. WV

Step-by-step explanation:

A ray has one endpoint and one arrow. It goes infinitely in one direction.

D is the one that is a ray; the endpoint is on the left, the arrow is on the right.


What is the slope of the line?

Answers

Linear is the slope of the answer

Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find the area of the parallelogram.

Answers

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2    x0= (-2+4)/2=1

y0=(yA+yC)/2    y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2     1= (1+xD)/2   xD=1

y0= (yB+yD)/2      2= (0+yD)/2    yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

10. Which fraction is equal to 1/5?
4/7 6/30 5/15

Answers

Answer:

It is 6/30

Step-by-step explanation:

This is because when you simplify 6/30 to the lowest form, you get 1/5

Answer:

There are a lot of fraction that can be equal to the values given above. It can be as follows:

 1/5 = 2/10, 3/15, 4/20, 5/25, 6/30, 7/35,8/40

4/7 = 8/14, 12/21, 16/28

6/30 = 12/60, 18/90, 24/120

5/15 = 1/3, 10/30, 20/60

Hope this helps. Have a nice day.

PLS HELP, FINAL EXAM QUESTION!!

Which of the following functions best represents the graph?

f(x) = (x − 2)(x − 3)(x + 2)
f(x) = (x + 2)(x + 3)(x + 12)
f(x) = (x + 2)(x + 3)(x − 2)
f(x) = (x − 2)(x − 3)(x − 12)

Answers

Answer:

C

Step-by-step explanation:

The roots of the function are - 3, - 2 and 2. The function will be (x+3)(x+2)(x-2)

Can someone give me the answer?

Answers

5 inches, should be the same I’m not sure good luck

Answer:

5 inches

Step-by-step explanation:

The distance from the center of a circle to any point on the circumference must be equal.

The angles of a quadrilateral are in the ratio 1:2:3:4. The smallest and the largest angle are
urgent pls answer asap

thank you

Answers

Step-by-step explanation:

Let the angles of quadrilateral be

X, 2x, 3x, 4x

Sum of all angles of quadrilateral = 360

X+2x+3x+4x = 360

10x = 360

X = 360/10 = 36

Ans: the four angles are

X = 36

2x = 2 X 36 = 72

3x = 3 X 36 = 108

4x 4 X 36 = 144

how to find the value of x
[tex]2x + x = x + x[/tex]

Answers

Subtract x on each side. Please let me know if you need anymore help
3x=2x
Minus 2x on both sides of the equation the final answer would be :
Value of x =0

Find the value of the expression 3m^2 + 2p^2 - 15 when m = 3 and p = 10
( 9th grade algebra 1 )

Answers

Answer:

212

Step-by-step explanation:

[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]

[tex]3(9) + 2(100) + 15[/tex]

[tex]27 + 200 - 15[/tex]

[tex]212[/tex]

y = -1/5x + 2 graphed
i will mark brainliest

Answers

Answer:

Plot and Draw a line through the coordinates I tell you do.

(0,2), (5,1)

Step-by-step explanation:

express the trinomial (x+1)(3x+2)

Answers

Answer:

3x^2+5x+2

Step-by-step explanation:

(3x^2)+(2x)+(3x)+(2)

3x^2+5x+2.

Answer:

3x²+5x+2

Step-by-step explanation:

(x+1)(3x+2)

(3x²)+(2x)+(3x)+(2)  

3x²+5x+2.

got some more math for yall

Answers

Answer:

A. 9x=72

Step-by-step explanation:

9 times exavior = 72

Xavior is X

9x=72

9x/9=72/9

x = 8

Answer is A

describe two ways 100 and 10 are related​

Answers

Answer:

YES WE CAN SAY THAT 100 AND 10 ARE RELATED AS 10×10=100 AND 100÷10=10

Pls help ASAP all of them please

Answers

Answer:

829  - 9

31 - 30

939 - 900

275 - 200

409 - 400

820 - 20

733 - 3

8071 - 70

322 - 300

9924 - 9000

54 - 50

4311 - 300

958 - 900

130 - 30

581 - 500

205 - 5

2464 - 400

482 - 400

4191391 - 4000000

804 - 4

8756 - 700

103 - 100

3913 - 3000

93 - 3

724 - 700

5602582 - 600000

582 - 80

748 to the power of 3 times 12

Answers

Answer:

We've given with

(748)³ × 12

By prime factorization

2 | 748

2 | 374

2 | 187

11 | 17

17 | 1

748 = (2)³ × 11 × 17

2 | 12

2 | 6

2 | 3

3 | 1

12 = (2)³ × 3

[tex] \sf \{(2) {}^{3} \times 11 \times 17 \} {}^{3} \times {2}^{3} \times 3[/tex]

[tex] \sf \: 2 {}^{6} \times {11}^{3} \times {17}^{3} \times {2}^{3} \times 3[/tex]

[tex] \sf \: {2}^{9 } \times {11}^{3} \times {17}^{3} \times 3[/tex]

Answer:

5022107904

Step-by-step explanation:

748³ × 12 = 418508992 × 12= 5022107904

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

can someone help me please??

Answers

Answer:

11,4 > 11 > 9,8 > 1

Step-by-step explanation:

To list the numbers from smallest to largest we need to determine the value of them in same/similar format

11 and 1 is in same format

The approximate value of [tex]\pi ^{2}[/tex] 9.8

the root of [tex]\sqrt{121}[/tex] = 11

the root of  [tex]\sqrt{130}[/tex] is = 11.4 approximately

Now we have them as real numbers we can evaluate

11,4 > 11 > 9,8 > 1 we don't need to write 11 twice but if needed we can write is as:

11,4 > 11 = 11 > 9,8 > 1

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