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ozzi
3 years ago
14

A recipe for apple cake needs 10 mL of baking powder, 70 mL of butter, 190 mL of sugar and 420 mL of flour. This is enough to ma

ke a cake for 8 people. How much of each ingredient would be needed to make a cake for 20 people?
Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

20/8 = 2.5

multiply all the ingredients by 2.5

10 ml  * 2.5 = 25 ml of baking powder

70 *2.5 = 175 ml of butter

190 * 2.5 = 475 ml of sugar

420 * 2.5 = 1050 ml of flour

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Write an equation of a line in slope intercept form that is perpendicular to y = -4x -2 and passes through the point (-16, -11).
NISA [10]
Y = -4x - 2
P (-16, -11)
a = -4, b = 0, c = -2
m = -a/b
m = -(-4)/(-2)
m = 4/(-2)
m = -2

y-yo = m(x-xo)
y-(-11) = -2[x-(-16)]
y+11 = -2(x+16)
y+11 = -2x-32
2x+y+11+32 = 0
2x+y+43 = 0

A outra questão é semelhante.
4 0
3 years ago
The GPA you earn in a particular semester is your​ ________ GPA, and your cumulative GPA for all completed semesters is your​ __
Mariulka [41]

Answer:

The GPA you earn in a particular semester is your Marginal GPA, and your cumalative GPA for all completed semesters is your average GPA.

Step-by-step explanation:

8 0
3 years ago
A = 1/2f(s + z) for s<br><br> Solve the following formula for the specified variable
Marat540 [252]

Step-by-step explanation:

\huge{\mathtt{\red{\underbrace{\overbrace{\pink{\boxed{\boxed{\blue{answer}}}}}}}}}

It is a little unclear when you state the problem what exactly is going on with that fraction. This is a common issue when you try to type up equations. On the right side, you have a fraction bar and then a bunch of stuff after it. We need to clear up what is supposed to be in the numerator and what is supposed to stay in the denominator. This is important not just for typing up questions on the internet to get help but in using your calculator as well. If what the equation means is that both "f" and "q+z" are in the denominator, but then on your calculator you type something 1 / 2 * f * ( q + z ), most calculators (e.g. TI 83/84 and almost any basic or scientific model) will interpret that as meaning only the 2 is on the bottom and the rest is on top.

If you meant the f and the q+z are on top, then Steve's answer is good.

If you meant the f and the q+z are supposed to be on the bottom, then we have a little bit different process.

First, write down the operations that are happening to q, and in what order they happen from inside out, that is, according to the regular PEMDAS rule:

1. z is added

2. 2f is multiplied

3. The result is divided into 1 (as opposed to being divided by 1).

So, to solve for q, we "invert" the order of operations and do the inverse operation of our 3 steps, and also in reverse order.

1. To get the big thing out of the denominator (Step 3), we will multiply both sides by 2f(q+z). Now we have:

C*2f(q+z) = 1, or as we normally write it,

2Cf(q+z) = 1

2. Now we have to adjust our steps just a little bit because we have the *C part too. So we will change Step 2 above to "2Cf is multiplied." We invert that by dividing, so we have:

q+z = 1/[2Cf]. Notice how I put brackets around the entire denominator so it's clear!

3. Finally to invert Step 1 we subtract z:

q = 1/[2Cf] - z

8 0
3 years ago
The sum of the squares of two consecutive positive integers is 41. Find the two
Komok [63]

We have to present the number 41 as the sum of two squares of consecutive positive integers.

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2² = 4

3² = 9

4² = 16

5² = 25

16 + 25 = 41

<h3>Answer: 4 and 5</h3>

Other method:

n, n + 1 - two consecutive positive integers

The equation:

n² + (n + 1)² = 41     <em>use (a + b)² = a² + 2ab + b²</em>

n² + n² + 2(n)(1) + 1² = 41

2n² + 2n + 1 = 41     <em>subtract 41 from both sides</em>

2n² + 2n - 40 = 0     <em>divide both sides by 2</em>

n² + n - 20 = 0

n² + 5n - 4n - 20= 0

n(n + 5) - 4(n + 5) = 0

(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0

n = -5 < 0 ∨ n = 4 >0

n = 4

n + 1 = 4 + 1 = 5

<h3>Answer: 4 and 5.</h3>
7 0
3 years ago
The farmer wants ratio horses : cows to equal 5 : 3.
weqwewe [10]

Answer

He needs to buy 27 Cows

Step-by-step explanation:

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5 x <u>9</u> = 45

3 x <u>9</u> = 27

3 0
2 years ago
Read 2 more answers
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