2.
Here is a recipe for Scones
Scones
Serves 8 people
Butter 60g
Flour 270g
Baking Powder 2 teaspoons
Buttermilk 180ml
How much of each ingredient would be needed to make scones for 2 people?​

Answer: y = 2 and x = 2

Step-by-step explanation:

[tex]9x^2+4(y-2)^2=36\\x^2=2y[/tex]

First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y

[tex]9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0[/tex]

What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.

[tex]4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2[/tex]

Now solve for x by plugging in y to the easier equation

[tex]x^2=2(-5/2)\\x\neq \sqrt{-5}[/tex]

If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2

[tex]x^2=2(2)\\x=2[/tex]

The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

9x² + 4 (y - 2)² = 36  .. (i)

x² = 2y  .. (ii)

Substitute the value of x² from (ii) in (i);

9x² + 4 (y - 2)² = 36

9 × 2y + 4 (y - 2)² = 36

18y + 4 (y - 2)² = 36

9y + 2 (y - 2)² = 18

9y + 2 (y² + 4 - 2y) = 18

9y + 2y² + 8 - 4y = 18

2y² + 5y + 8 - 18 = 0

2y² + 5y - 10 = 0

y = - 5 ± √5² - 4×2×- 10 / 2×2

y = - 5 ± √ 25 + 80 / 2

y = - 5 ± √ 105 / 2

y = - 5 ± 10.24 / 2

y = - 5 + 10.24 / 2

y = 5.24/2

y = 2.62

y = - 5 - 10.24 / 2

y = - 15.24 / 2

y = - 7.62

From (ii);

x² = 2y

x² = 2 × 2.62

x² = 5.24

x = 2.28

x² = 2y

x² = 2 × - 7.62

x² = - 15.24

x = 3.9i

Thus, The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Learn more about the mathematical expression visit:

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Answer:

63

Step-by-step explanation:

Answer:

2:8

Sarah has 2 small dog and 8 big ones

Step-by-step explanation:

Answer:

1 ÷ 11

Step-by-step explanation:

The computation is shown below:

let us assume the yellow cubes be x

So, blue cubes be 2x

And, green cubes be 2x (4) 8x

Now the ratio is

Yellow: Blue: green

x:2x:8x

1:2:8

Now the probability of yellow cubes is

= 1 ÷ (1 + 2 + 8)

= 1 ÷ 11

Answer:

12

Step-by-step explanation:

Answer:

13:6 D

Step-by-step explanation:

A ratio is just a comparison between two numbers. its asking for pizza students first so you enter that number first then it asks for the number of mac and cheese so you input that number.

The ratio of students who ate pizza to students who ate mac and cheese is 13:6.

From the given table we need to find the ratio of students who ate pizza to students who ate mac and cheese.

In mathematics, a ratio indicates how many times one number contains another.

Now, pizza: mac and cheese=13:6

Therefore, the ratio of students who ate pizza to students who ate mac and cheese is 13:6.

To learn more about the ratio visit:

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Answer:

Linear polynomial.

Step-by-step explanation:

A linear polynomial is written with a degree 1. An example of a linear polynomials includes 3x + 5. This is what 5b - 1 is.

Hope it helps!

Answer:

[tex]m^{4}n^{5}[/tex]

Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )

When dividing variables with exponents, you subtract the exponents that has the same variables, like this:

[tex]m^{16-12}n^{10-5}[/tex]

Simplifying this becomes:

[tex]m^{4}n^{5}[/tex]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)

m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]

Division by zero is undefined thus the slope of CD is undefined

Answer:

I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)

Step-by-step explanation:

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

Answer:

v = 1

Step-by-step explanation:

volume of a cube = side cubed

1 cubed = 1

Answer:

answer is 1 cubic unit

hope this helps

Answer: 108°

Step-by-step explanation:

Answer:

Remember that the total amount of degrees in a pentagon is: 540, and there are 5 sides, so divide 5 by 540:

540/5 = 108

108 is your answer.

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

Step-by-step explanation:

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

two different ways of theoretical and experimental explanation

both are correct

hope they helped you

the answer is 12

because it is

Answer:

Only the third sequence is arithmetic

Step-by-step explanation:

If the sequence has a common difference, then it is arithmetic.  To find the common difference, substract a term from the next term.

First sequence:  

10 - 20 = -10     5 - 10 = -5    The differences are not the same,   so the sequence is NOT arithmetic

Second sequence:

-6 - (-3) = -3     -18 - (-6) = -12   The differences are not the same,   so the sequence is NOT arithmetic

Third sequence:

 10 -  5 =  5     15 - 10 = 5   20 - 15 = 5  The differences are the same,   so the sequence is arithmetic

Fourth sequence:

10 - 5 = 5    20 - 10 = 10   The differences are not the same,   so the sequence is NOT arithmetic

Answer:

-32

Step-by-step explanation:

Do the opposite of everything to fin the number:

7 - 11 = -4

-4 x 8 = -32

Check to see if it's true:

-32/8 = -4

-4 + 11 = 7

So the original number was -32, because when you divide it by 8 then add 11 it equals 7.

Answer: 4 gallons.

Step-by-step explanation:

With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.

If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.

8 x 1/2 = 4.

Because of this, 4 gallons of paint are needed to cover he entire wall.

(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])

Answer:

Step-by-step explanation:

Use the formula,

distance = √[(x1-x2)^2 + (y1-y2)^2]

Answer:

A

Step-by-step explanation:

Answer:

336x + 624

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

i have no idea why there is a degree symbol by it probably an angle

anyway

7x+13=48

subtract 13 from both sides

7x+13-13=48-48 -> 7x=35

divide

7x/35

x=5

uwu

Answer:

The second choice. Connect the endpoint and the mark at the angle measure.

Step-by-step explanation:

Answer:

Connect the endpoint and the mark at the angle measure.

Step-by-step explanation:

Answer:

B. s = 32t

Step-by-step explanation:

The equation would be in the form of s = mt.

Where, m = rate of change

Find rate of change using any two values given in the table, say (1, 32) and (2, 64)

Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32

✔️To write the equation, substite m = 32 into s = mt

s = 32t

Answer:

y= -x+9

❤hope its helpful

THANK YOU.

Answer:

D

Step-by-step explanation:

All the y's go down by -4. If they keep changing by the same number its linear

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve