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sashaice [31]
2 years ago
14

Bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o

f cake. he wants to pay as little as possible for the cakes and for them to be the same size. First cake 20cm, serve 12 people and cost £13.50, second cake 25cm, serve 20 people and cost £18.75
Mathematics
1 answer:
Dafna1 [17]2 years ago
4 0
To find out which cake is better for the price, we need to multiply the cake amounts by how many cakes of that kind we need. You need 5 20cm cakes, so we multiply 5 by the price of the 20cm cake (13.50) to get $67.50. You need 3 25cm cakes, so 3 x 18.75 = 56.25.

20cm cake: $67.50
25cm cake: $56.25

Answer: The 25cm cake is cheaper for more people.
You might be interested in
The function f(x) = xπ−−√ gives the diameter, in inches, of a proposed spherical sculpture with a surface area of x square inche
natka813 [3]

Answer:

The average rate of change of f(x) = 3.14 inches⁻¹

The change in f(x) = 49.32 in

Step-by-step explanation:

The surface area of the spherical sculpture = x and its diameter f(x) = πx.

The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14

Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx  

dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²

df(x) = π × 15.7 = 49.32 in

3 0
2 years ago
Sam's Furniture Store places the following advertisement in the local newspaper.
boyakko [2]

Answer:

  • $500

Step-by-step explanation:

<h3>Given</h3>
  • Sofa = s
  • Love seat = l
  • Chair = c
  • Sofa and love seat cost = $1300
  • Sofa and 2 chairs cost = $1400
  • Sofa, love seat and one chair cost = $1600
<h3>To find</h3>
  • Love seat = ?
<h3>Solution</h3>

<u>Equations as per given are:</u>

  • s + l = 1300
  • s + 2c = 1400
  • s + l + c = 1600

<u>Subtract equation 1 from equation 3:</u>

  • s + l + c - s - l = 1600 - 1300
  • c = 300

<u>Considering this in the equation 2:</u>

  • s + 2*300 = 1400
  • s = 1400 - 600
  • s = 800

<u>Substituting s in the equation 1:</u>

  • 800 + l = 1300
  • l = 1300 - 800
  • l = 500

<u>Answer:</u> Love seat costs $500

6 0
2 years ago
The sum of twice x2 added to 7x is –3. Which<br> could be the value of x?
amm1812

Answer:

x= -1/3

Step-by-step explanation:

2x+7x=-3

9x/9= -3/9

x = -1/3

7 0
1 year ago
25. To produce the graph of the function y=0.5cos(0.5x), what transformations should be applied to the graph of the parent funct
soldi70 [24.7K]

Answer:

C. A horizontal stretch to produce a period of 2\pi and a vertical compression.

Step-by-step explanation:

We are given the parent function as y= \cot x

It is given that, transformations are applied to the parent function in order to obtain the function y=0.5\cot (0.5x) i.e. y=\frac{1}{2}\cot (\frac{x}{2})

That is, we see that,

The parent function y= \cot x is stretched horizontally by the factor of \frac{1}{2} which gives the function y=\cot (\frac{x}{2}).

Further, the function is compressed vertically by the factor of \frac{1}{2} which gives the function y=\frac{1}{2}\cot (\frac{x}{2}).

Now, we know,

If a function f(x) has period P, then the function cf(bx) will have period \frac{P}{|b|}.

Since, the period of y= \cot x is \pi, so the period of y=\frac{1}{2}\cot (\frac{x}{2}) is \frac{\pi}{1/2} = 2\pi

Hence, we get option C is correct.

3 0
2 years ago
If the point (4,-1) is a point on the graph of f then f
AlekseyPX

If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)

  1. g(x) = \frac{1}{2} f(x) => (4,-1/2)
  2. g(x) = f(x-2) => (2,-1)
  3. g(x) = f(-x) => (-1,-1)
  4. g(x) = f(4x) => (1,4)
  5. g(x) = 4f(x) => (4,-4)
  6. g(x) = -f(x) => (-12,1)
<h3>Further explanation </h3>
  1. Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2.  Therefore, the new point is  (4,-1/2)
  2. Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2.  Therefore, the new point is (2,-1)
  3. Making the input of the function negative will multiply every x-value by  1.  To get the new point, we will take the x-value (4) and multiply it by -1  to get. Therefore, the new point is (-1,-1)
  4. Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1.  Therefore, the new point is  (1,4)
  5. Multiplying the whole function by  4 increases all y-values by a factor of 4 , so the new y-value will be 4  times the original value (4) or -4.  Therefore, the new point is  (4,-4)
  6. Multiplying the whole function by -1 also multiplies every y-value by -1,  so the new y-value will be  -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)

<h3>Learn more</h3>
  1. Learn more about corresponding point  brainly.com/question/10218370
  2. Learn more about point on the graph brainly.com/question/11297347
  3. Learn more about the graph brainly.com/question/11534295

<h3>Answer details</h3>

Grade:  9

Subject:  mathematics

Chapter:  corresponding point

Keywords:   corresponding point, the graph, point on the graph

3 0
1 year ago
Read 2 more answers
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