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melamori03 [73]
3 years ago
13

It takes 1 pound of flour to make y cakes. The price of flour is w dollars for x pounds. In terms of w, x and y, what is the dol

lar cost of the flour required to make 1 cake?
Mathematics
1 answer:
Rashid [163]3 years ago
8 0
<h2>Answer:</h2>

The dollar cost of the flour required to make 1 cake is:

                   $   w/(xy)

<h2>Step-by-step explanation:</h2>

It is given that:

  • It takes 1 pound of flour to make y cakes.

This means that in order to make 1 cake the amount of flour required is: 1/y pound.

  • The price of flour is w dollars for x pounds.

Cost of x pounds= $ w

Cost of 1 pound= $ w/x

Cost of 1/y pound= $ w/(xy)

i.e.

Cost of making 1 cake= $ w/(xy)

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Write this equation in vertex form.<br> y = x^2 -12x +20
kotegsom [21]

Answer:

y = (x-6) ^ 2 -16

Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

y = (x-h) ^ 2 + k

Where the vertice of the equation is the point (h, k)

To transform the equation y = x ^ 2 -12x +20 in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

ax ^ 2 + bx + c

Where a, b and c are real numbers, then the vertex of the equation will be:

x = - \frac{b}{2a}

For the given equation:

b = -12\\a = 1

Therefore the vertice is:

x = - \frac{-12}{2(1)}\\\\x = 6

Now we substitute x = 6 into the equation and find the value of k.

y = (6) ^ 2 -12 (6) +20\\\\y = -16 = k

Therefore the vertice is: (6, -16)

And the equation is:

y = (x-6) ^ 2 -16

8 0
3 years ago
Read 2 more answers
A bakery used 25% more butter this month that last month. If the bakery used 240 kilograms of butter last month, how much did it
SCORPION-xisa [38]

Answer:

300kg

Step-by-step explanation:

240(25/100)

240(.25) = 60

25% of 240 = 60, so add that 60 to get an extra 25% for this month

240 + 60 = 300

6 0
3 years ago
Read 2 more answers
Calculate the distance between the points Q = (2, -1) and K = (6,-9) in the coordinate plane.
White raven [17]

Answer:

Sqrt 80 = 8.94

Step-by-step explanation:

d = sqrt[(x-x)^2 + (y-y)^2]

d = sqrt [(6-2)^2 + (-9 - - 1)^2]

d = sqrt [(4)^2 + (-8)^2]

d = sqrt (16 + 64)

d = sqrt 80

d = 4 sqrt 5 = 8.94

3 0
3 years ago
Order the following numbers from least to greatest.
zaharov [31]

Answer:

-5.5  -\sqrt{20}  \sqrt4  \frac{22}{7}  4.5

Step-by-step explanation:

Given:

The numbers to order from least to greatest is given as:

-5.5, 4.5, 22/7,\sqrt4,-\sqrt{20}

In order to compare these numbers, we have to convert them in same form.

Let us simplify each number in decimal form.

-5.5 = -5.5\\\\4.5=4.5\\\\\frac{22}{7}=3.14\\\\\sqrt4=2\\\\-\sqrt{20}=-\sqrt{5\times 2^2}=-2\sqrt5=-4.47

So, the least number is one which has the largest value with a negative sign.

Here, -5.5 is the least number.

The next smallest number is -4.47. So, -\sqrt{20}

The next smallest number is 2. So, \sqrt4

The next smallest number is 3.14. So, \frac{22}{7}

The greatest number is 4.5.

Therefore, the order from the least to greatest is:

-5.5 < -\sqrt{20} < \sqrt4 < \frac{22}{7} < 4.5

8 0
3 years ago
Y-4x=9 in standard form
11111nata11111 [884]

Answer: y - 4x = 9 <em>in standard form is</em> -y + 4x = -9

4 0
3 years ago
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