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Nikolay [14]
4 years ago
11

You baked 42 chocolate cupcakes and 28 red velvet cupcakes. You package them in boxes that have the same ratio of chocolate to r

ed velvet cupcakes. How many red velvet cupcakes are in a box that has 24 chocolate cupcakes?
Mathematics
1 answer:
Amanda [17]4 years ago
3 0
There are 16 red velvet cupcakes.

42 chocolate +  28 red velvet = 70 cupcakes
(42/ 70 *100%)+ (28 / 70 *100%) = (70/70 * 100%)
60 % chocolate + 40% red velvet = 100% cupcake

24 chocolate    +  X red velvet  =  Y cupcake

Y cupcake = 24 / 60% = 40 cupcakes
X red velvet = 40 cupcakes * 40% = 16 red velvet.

OR

(24 / 60%) * 40% = 16 red velvet cupcakes
 
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How is dividing mixed numbers related to dividing whole numbers
Taya2010 [7]

Answer:

Dividing mixed numbers is very similar to multiplying mixed numbers. You just add one step—after changing the divisor into an improper fraction, you then find its reciprocal and multiply. ... First step: Write the whole number and the mixed number as improper fractions.

Step-by-step explanation:

4 0
3 years ago
Find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15)
Arlecino [84]
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>

<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>

<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>

<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>

<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>

<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>

<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>

<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>

<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>

<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>

<span>Or, if you prefer, (3, 0), (-5, 0). </span>
8 0
4 years ago
One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak
Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

\frac{1}{15} x + \frac{1}{30} x = 1

This is representative of the situation. The fractions each represent <u>how much each person does in a minute</u>, and when they're multiplied by x, that's <u>how much of the project they get done</u> based off of the minutes they work together on the job. Add the two together, and you get <u>how much of the project is finished in x amount of time</u>. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

\frac{1}{15} x + \frac{1}{30} x = 1

\frac{2}{30} x + \frac{1}{30} x = 1

\frac{3}{30}x = 1

\frac{1}{10}x = 1

x = 10

Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

8 0
4 years ago
X^2+y^2-4x+2y=b <br>what is b?
Zina [86]
First of all youre not going to get a direct answer to all of these questions, youre going to have 3 finally equations(because thats the amount of variables you have).
8 0
4 years ago
Trig questions:
navik [9.2K]
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4

Answer: 1. f(x) = sin(x - π) - 4

Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in

Answer: 3. (31π)/5

Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π

From the graph, the rate of change of g(x)  is
3/(π/2) = 6/π

Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change

Answer: h(x)

8 0
4 years ago
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