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Nimfa-mama [501]
2 years ago
13

Natalie makes potato cakes in a restaurant.

Mathematics
1 answer:
Alex Ar [27]2 years ago
5 0

A ratio shows us the number of times a number contains another number. The cost of cheese that is needed to make 6000g of potato cake is £12.86.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.


Given that the ratio of the ingredients is,

weight of potato: weight of cheese: weight of onion = 9: 2:1

Let the ingredients be mixed in the quantity 9x, 2x, and 1x, for 6000g of potato cake. Therefore, the value of x can be written as,

9x+2x+1x = 6000\\\\12x = 6000\\\\x = 500

Hence, the value of x is 500.

Thus, the amount of cheese that will be needed is 2x,

2x = 2  \times (500) = 1000g

Given that the cost of 175g of cheese is  £2.25, therefore, the cost of 1g of cheese will be,

\text{Cost of 1g cheese} = \£\dfrac{ 2.25}{175}

Now, the cost of 1000g of cheese will be,

\text{Cost of 1000g cheese} = 1000\times  \£\dfrac{ 2.25}{175} = \£12.86

Hence, the cost of cheese that is needed to make 6000g of potato cake is £12.86.

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

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Find the angle measure.<br><br> The measure of angle XYZ is
shutvik [7]

Answer:

<h3>∠XYZ = 102</h3><h3></h3>

Step-by-step explanation:

<u>1st step is to solve x from ΔWXY</u>

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

           ∠X = 7x + 4

           ∠Y = 180 - (15x - 18)

                 = 198 - 15x

now plugin values into the equation:

5x + 2   +   7x + 4  +  198 - 15x  = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

<u>2nd step is to substitute x = 8 into ∠XYZ</u>

∠XYZ = 15x - 18

∠XYZ = 15(8)  - 18

∠XYZ = 102

6 0
3 years ago
Elimination/subtraction
denpristay [2]

Answer:

x = 0, y = 7

Step-by-step explanation:

Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.

                  3x - 10y=-70

             -<u>   4x +9y = 63</u>

                  -x + y = 7

Now, for substitution, the equation must be set to a variable.

                  -x + y = 7

                  y = x + 7

Next, plug the equation in where applicable in another equation.

                  4x +9(x + 7) = 63

                  4x + 9x + 63 = 63

                  13x = 0

                  x = 0

The final step of substitution is to plug the known variable into an equation to find the other variable.

                  3(0) - 10y=-70

                  0 - 10y = -70

                  10y = 70

                  y = 7

I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.

8 0
3 years ago
Read 2 more answers
What is the solution of the equation f(x) = g(x) ?
dezoksy [38]
We are given the two functions f(x) = x^{-\frac{1}{2} } and g(x) =  \sqrt{x} - \frac{3}{2}. Since the question is asking us for the value of x when f(x) is equal to g(x), all we need to do is equate the respective expressions together. This is what the result should be:
x^{-\frac{1}{2}} = \sqrt{x} - \frac{3}{2}
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is D) x = 4. Hope this helps and have a great day!

4 0
3 years ago
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oee [108]
The answer to c is 0 and the answer to d is undefined

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The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of
viva [34]

Answer:

<em>500πx³y³z³ </em>

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>

8 0
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