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Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Answer:

A

Step-by-step explanation:

the angle that is vertical to ABI is EBH

Answer:

let the size of the real item be x

then the size of model as prodived will be =

60% of X

60/100 × X

=3X/5 .

Answer:

x = 4√3, or approximately 6.93

Step-by-step explanation:

This is a right triangle with hypotenuse 13 and side lengths x and 11.  According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or

x^2 + 121 = 169, or

x^2 = 48.

x must be a positive quantity.  Thus, x = +√48 = + √3·√16 = +4√3

Thus, x = 4√3, or approximately 6.93

Answer:

the answer is a

Step-by-step explanation:

Answer:

Do u still need help

Step-by-step explanation:

Answer:

x = 11/3  

Step-by-step explanation:

1/3 (9x + 12) = 15

3x + 4 = 15

3x = 11

x = 11/3

Answer:

63 miles per day

Step-by-step explanation:

The miles she drove: 378

Number of days: 6

Solve:

378/6= 63

Check your math:

63*6=378

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

The answer is 81.834375

Step-by-step explanation:

Hope this helps

Answer:

$81.83

Step-by-step explanation:

Amount spent: £75.25

Sales tax: 8.75%

1% of 75.25 = 0.7525

0.7525 x 8.75 = 6.584375

75.25 + 6.584375 = 81.834375

As this question involves money it needs to be rounded to 2 decimal places:

$81.83

Answer: 36 and 56

Step-by-step explanation: the sum of two numbers translates into x + y = 92

If the difference would be 0 then the numbers would be equal.

Just choose which number you want to be bigger. If x is bigger then x - y = 20. If y is bigger then y - x = 20.

Let’s make x bigger so x-y=20. You can go two ways with this.

Either x=20+y because when passing one term from one side to the other you can change the sign.

Or y=x-20 because you pass “-y” to the right and it’s becomes “y” and you pass 20 to the left and it becomes -20.

Let’s go with y=x-20.

Now we replace this in the other relation:

X + Y = 92

X + (x-20) = 92

X + X - 20 = 92

2x - 20 = 92 ==> 2x = 92 + 20 ==> 2x = 112 ==> 112/2 ==> x=56

Y = x - 20 ==> y = 56 - 20 ==> y = 36.

If you choose x=20+y and replace x in the other relation you’ll find out y first and only after that you’ll find x.

Hope this helps☺️

Answer:

C

Step-by-step explanation:

according to the standard equation;

Y=mX+C

or, Y=4/5X +3

Step-by-step explanation:

-18x -14 = - 68

=> -18x = -68 + 14

=> -18x = -54

=> 18x = 54. ['-' on both sides gets cancelled]

[tex] = > x = \frac{54}{18} [/tex]

=> x = 3 (Ans)

Answer:

[tex]3x - 4y \geqslant - 12[/tex]

Step-by-step explanation:

[tex]3x - 4y \geqslant - 12[/tex]

[tex] - 4y \geqslant - 3x - 12[/tex]

Y <= 3/4X +3

Answer:

arithmetic, 9, 1.8181818181818

Step-by-step explanation:

it is arithmetic, because it is adding by 9 every time.

I don't know what they mean by simplist form, but thats what 20/11 equals.

Answer:

yes yes wainth inde Windows

Answer:

36.008 or 36

Step-by-step explanation:

Use the equation for the length of any circular arc  

s = r(radians)  

s - length of a circular arc

r - radius  

radians - radian measure of the central angle  

Then, set-up the equation:  

s = r(radians)

70.7m = r(5pi/4)  

Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:  

r = 70.7m x 4/5pi  

then solve for r  

r = 282.8/5pi = 18.004  

The radius is half the diameter therefore just multiply the radius by 2  

d = 18.004 x 2  

= 36.008 or 36  

The diameter of the circle is 36 meters.

The arc is a portion of the circumference of a circle.

We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.

We have to determine the diameter of the circle

For the length of the circular arc, use the equation.

⇒ 70.7 m = R(5π/4)  

Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:

⇒ R  = 70.7 m × 4/5π

⇒ R = 282.8/5π

∵ π = 3.14

⇒ R = 282.8/5(3.14)

⇒ R = 18.004  

Since the radius is equivalent to half the diameter, simply double the radius by 2.  

⇒ D = 18.004 × 2  

⇒ D = 36.008 ≈ 36  

Hence, the diameter of the circle is 36 meters.

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Answer:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.So the volume of the cube having side 15 mm is 3375 cubic inches.

Different Ways to Find Volume

Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...

Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. ...

Solve for Volume by Displacement.

Step-by-step explanation:

Answer:

The coordinates are (50, 103)

Step-by-step explanation:

The three hallways are AB, BC, CD.

The co-ordinate of D is (50, 75).

The school's flagpole is 28 meters right of the point D.

Hence the y-coordinate for the flagpole will be same as D, that is 75.

The x-coordinate will be (28 + 75) = 103.

The location of the school's flagpole will be represented by (50, 103)

The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as S

Let the rectangle be represented as ABCD

The coordinates of A = A ( -1 , -1 )

The coordinates of B + B ( -1 , 1 )

The coordinates of C = C ( 4 , 1 )

So , the length of the rectangle = 4 units

The width of the rectangle = 2 units

So , the area of the rectangle S = 4 x 2 = 8 units

And , the 4th vertex of rectangle D = D ( 4 , -1 )

Hence , the coordinate D of rectangle is D ( 4 , -1 )

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Answer:

D) 2.1

Step-by-step explanation:

HOPE IT HELPS YOU

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

Answer: 2.1 I think please don’t be mad if I’m wrong

Step-by-step explanation:

Answer:

the anwser is (60-50)

Step-by-step explanation:

took the test

Answer:

Part 1 d/a = a/f

d/b = b/c

e/c = c/f

Explanation:

The triangles are similar.

This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.

Part 2:

78

Explanation:

Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.

5x –19 = 2x +11

3x = 30

x= 10

5(10) –19 = 31

2(10) + 11 = 31

Add the three sides: 31 +31 +16 = 78

Part 3:

Sin A= Cos B. both are a/b

Sin C= Cos A both are c/b

Sin C = c/b

Explanation:

Remember S=o/h, C=a/h , T=o/h

Look at the relationship of the sides to the angles given. If the sides match, the statement is true.

Sine of angle A is side a to side b. This is opposite/hypotenuse

Cosine of angle B is side a to side b This is adjacent/hypotenuse.

The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.

This can be confusing, but the more you practice, the easier it gets.

I hope this helps!

i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!

you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.

Answer:

$1.94

Step-by-step explanation:

The Margin on the discounted eggs is $2.392.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Store cost on a dozen eggs is $0.75,

and retail price is $2.99.

The amount of discount is 10%

Discount given on $2.99

= 10% of 2.99

= 0.1 x 2.99

= 0.299

Cost of eggs after discount =2.99-0.299= 2.691

So, The discounted eggs costs $2.691.

Hence, The difference in store cost and discounted cost = 2.691- 0.299                      

                                                                                               = $2.392

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Answer:

the 3rd one

Step-by-step explanation:

because it's in a pattern

Answer:

3rd.

Step-by-step explanation:

Answer:

Line equation: y=4x−22

Slope: 4

Intercept: -22

Step-by-step explanation:

Answer:

4(m+4)

Step-by-step explanation:

4m+16

Rewriting

4*m + 4*4

Factor out 4

4(m+4)

Answer:

Step-by-step explanation:

6x + y = 30

-6x - 15y = 54

-14y = 84

y = -6

6x - 6 = 30

6x = 36

x = 6

(6, -6)