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2 years ago

Natalie makes potato cakes in a restaurant.

1 answer:

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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Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4?

Ray Of Light [21]

Answer:

x2=−8(y−2)

Step-by-step explanation:

Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.

Let P(x,y) be the moving point on the parabola with

focus at S(h,k)= S(0,0)

& directrix at y= 4

Now,

|PS| = √(x-h)2 + (y-k)2

|PS| = √(x-0)2 + (y-0)2

|PS| = √ x2 + y2

Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0

d= |ax +by + c|/ √a2 + b2
d= |y-4|/ √0 + 1
d= |y-4| units.

equation of parabola is:

|PS| = d
√ x2 + y2 = |y-4|

Squaring on both sides, we get:

x2 + y2 = (y-4)2
x2 + y2 = y2 -8y + 16
x2 = - 8y + 16
x2 = -8 ( y - 2)

This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.

8 0

2 years ago

Read 2 more answers

Find the slope and y-intercept

gayaneshka [121]

Y intercept is -4
slope is 2/5 i think

7 0

2 years ago

Find the value of x.

Elena-2011 [213]

The answer would be 6

6 0

3 years ago

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 gal : 64 gal (IN THE PIC

Serjik [45]

Answer:

5/8

Step-by-step explanation:

The ratio 40:64 can be written as a fraction, 40/64.

Next, simplify to get 5/8.

Hope this helps!

5 0

2 years ago

In order to qualify for letter sorting l, applicants are given a speed-reading test. The scores are normally distributed, with a

Lerok [7]

Using the normal distribution, it is found that the score needed to qualify is of 88.32.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by $\mu = 80$ and $\sigma = 8$ .

The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:

$Z = \frac{X - \mu}{\sigma}$

$1.04 = \frac{X - 80}{8}$

X - 80 = 1.04(8)

X = 88.32.

The score needed to qualify is of 88.32.

More can be learned about the normal distribution at brainly.com/question/24663213

5 0

2 years ago