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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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Step-by-step explanation:

The set-up will represent a triangle whereby the :

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{a}^{2}  =  {c}^{2}  -  {b}^{2}  \\ {a}^{2} =  {240}^{2}  -  {150}^{2}  \\ {a}^{2} = 57600 - 22500 \\  \sqrt{ {a}^{2} }  =  \sqrt{35100}  \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)

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2 years ago
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eimsori [14]

Answer:

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(g*f)(2)=-3*sqrt(3)

Step-by-step explanation:

We have to eval the expressions given in the point indicated.

Lets start by the first equation

(g-f)(-1)= g(-1) - f(-1)= \sqrt{11-4*(-1)}    - 1 +(-1)^{2} = \sqrt{15}

Now, lest continue with the others

(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0

(g+f)(2)=g(2)+f(2)=sqrt(3)-3

(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)

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A researcher determines that students are active about 60 + 12 (M + SD) minutes per day. Assuming these data are normally distri
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Answer:

The correct option is (b).

Step-by-step explanation:

If X \sim N (µ, σ²), then Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

The mean and standard deviation of the active minutes of students is:

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Compute the <em>z</em>-score for the student being active 48 minutes as follows:

Z=\frac{X-\mu}{\sigma}=\frac{48-60}{12}=\frac{-12}{12}=-1.0

Thus, the <em>z</em>-score for the student being active 48 minutes is -1.0.

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3 years ago
A 25 foot ladder is leaning against a house. If the angle of Elevation of the ladder is 72 degrees:
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Answer:

1. 23.8

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Step-by-step explanation:

<u>for the first blank</u>

use sin because x is opposite and 25 is hypotenuse

set up an equation:

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multiply both sides by 25:

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multiply 25 by sin(72):

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<u>for the second blank</u>

use cos because x is adjacent and 25 us hypotenuse

set up an equation:

cos(72)= (x/25)

multiply both sides by 25:

25(cos(72))= (x/25)25

25(cos(72))= x

multiply 25 by cos(72):

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