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ycow [4]
3 years ago
15

How much cakes can you bake if 1,12 of teaspoon of vanilla and she has 9/12 of teaspoon?

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
If 9/12 is how much it takes to bake a cake you would need 9 of 1 and1/2
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Solve.<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%20x%20-%2011%7D%20%20-%20%20%5Csqrt%7Bx%7D%20%20%2B%205%20%3D%206" id
ICE Princess25 [194]
Solve for x:
5 - sqrt(x) + sqrt(3 x - 11) = 6

Subtract 5 from both sides:
sqrt(3 x - 11) - sqrt(x) = 1

(sqrt(3 x - 11) - sqrt(x))^2 = -11 + 4 x - 2 sqrt(x) sqrt(3 x - 11) = -11 + 4 x - 2 sqrt(x (3 x - 11)) = 1:
-11 + 4 x - 2 sqrt(x (3 x - 11)) = 1

Subtract 4 x - 11 from both sides:
-2 sqrt(x (3 x - 11)) = 12 - 4 x

Raise both sides to the power of two:
4 x (3 x - 11) = (12 - 4 x)^2

Expand out terms of the left hand side:
12 x^2 - 44 x = (12 - 4 x)^2

Expand out terms of the right hand side:
12 x^2 - 44 x = 16 x^2 - 96 x + 144

Subtract 16 x^2 - 96 x + 144 from both sides:
-4 x^2 + 52 x - 144 = 0

The left hand side factors into a product with three terms:
-4 (x - 9) (x - 4) = 0

Divide both sides by -4:
(x - 9) (x - 4) = 0

Split into two equations:
x - 9 = 0 or x - 4 = 0

Add 9 to both sides:
x = 9 or x - 4 = 0

Add 4 to both sides:
x = 9 or x = 4

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(4) + sqrt(3×4 - 11) = 4:
So this solution is incorrect

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(9) + sqrt(3×9 - 11) = 6:
So this solution is correct

The solution is:
Answer:  x = 9
5 0
3 years ago
Use rounding numbers to estimate the sum of 171 + 727
Umnica [9.8K]
171 rounds to 200, and 727 rounds to 700. 700+200= 900.

The answer is 900.
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!! <br> Solve the system of equation. Write the solution as a coordinate point.
Dovator [93]

We can just substitute y = 4x+1 in the second equation.

6x-2(4x+1)=-3\\6x-8x-2=-3\\6x-8x-2+3=0\\-2x+1=0\\-2x=-1\\x=\frac{1}{2}

We know the value of x, substitute x in any equations to get the y-value.

4x+1=y\\4(\frac{1}{2})+1=y\\2+1=y\\3=y

The value of y is 3 and the value of x is 0.5 aka 1/2

Since you want the solution as a point then It's below here.

5 0
2 years ago
Louise skip counts by 4 on a number line to find 5 x 4. How many jumps should she draw on the number line?
PIT_PIT [208]
It is 5 since u need to jump 5 times 4,8,12,16,20=5 times 4
6 0
3 years ago
A three-dimensional array can be thought of as ______ of two-dimensional arrays.
Iteru [2.4K]
A page of two-dimensional arrays can be thought of as a three-dimensional array. Since 2-dimensional arrays are commonly expressed in tables or matrixes, therefore, if we put these tables or matrices in a page, the collection of matrices in a single page would now be structured into a 3D array.
6 0
3 years ago
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