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PIT_PIT [208]
3 years ago
5

McSaw’s Ice Cream makes muffins that cost $.60 each. Past experience shows that 10% of the muffins will become stale and have to

be discarded. Assume McSaw wants a 55% markup based on cost and produces 100 muffins. What should each muffin sell for? Round to nearest cent.
Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0
Well, due to that 10% of the muffins get wasted and do not sell,
plus work that goes into it, the price of the ice-cream is  not 0.60,
but 55% more, or markup above that cost value

so... how much would each muffin sell for? well, each muffin will be,
0.60 + 55% of 0.60

how much is 55% of 0.60?
{{ 55}}\%\ of\ 0.60 \implies  \cfrac{{{ 55}}}{100}\cdot 0.60\implies {{ 55}}\div 100\cdot 0.60

get the 55%, and add it to the 0.60, that's how much each will sell for
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Which inequality is represented by the graph?
blsea [12.9K]

Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (-1\frac{1}{2}). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around \frac{2}{5}. So now, your equation is y = \frac{2}{5}x -1 \frac{1}{2\\}. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ \frac{2}{5}x -1 \frac{1}{2\\}.

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤  \frac{4}{5}x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤  \frac{4}{5}x - 2y

\frac{4}{5}x - 2y ≥ 3

7 0
3 years ago
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
rusak2 [61]

Answer:

(a) The probability that the thickness is less than 3.0 mm is 0.119.

(b) The probability that the thickness is more than 7.0 mm is 0.119.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.

Step-by-step explanation:

We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.

Let X = <u><em>thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.</em></u>

So, X ~ Normal(\mu=5.0,\sigma^{2} =1.7^{2})

The z-score probability distribution for the normal distribution is given by;

                           Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean thickness = 5.0 mm

           \sigma = standard deviation = 1.7 mm

(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)

    P(X < 3.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{3.0-5.0}{1.7} ) = P(Z < -1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)

    P(X > 7.0 mm) = P( \frac{X-\mu}{\sigma} > \frac{7.0-5.0}{1.7} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                           = 1 - 0.8810 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X \leq 3.0 mm)

    P(X < 7.0 mm) = P( \frac{X-\mu}{\sigma} < \frac{7.0-5.0}{1.7} ) = P(Z < 1.18) = 0.881

    P(X \leq 3.0 mm) = P( \frac{X-\mu}{\sigma} \leq \frac{3.0-5.0}{1.7} ) = P(Z \leq -1.18) = 1 - P(Z < 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.

4 0
3 years ago
Explain how to draw a double number line representing a 1:4 ratio.<br><br> thanks
MissTica
Make the number line go to 1 and forward 4. For example
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5 0
3 years ago
What is the inverse of the given relation?<br> y=3x+12
stich3 [128]

For this case we have the following function:

y = 3x + 12

We change the variables:

x = 3y + 12

From here, we clear the value of y.

3y = x-12\\y = \frac {x} {3} -4

Then, we make the following change:

y = f (x) ^ {-1}

Finally, the inverse function is:

f (x) ^ {- 1} = \frac {x} {3} -4

Answer:

The inverse of the given relation is:

f (x) ^ {- 1} = \frac {x} {3} -4

6 0
3 years ago
Read 2 more answers
Does 3 times 48 equal 4 times 36
erik [133]

Answer:

Yes

Step-by-step explanation:

3 x 48 = 144

4 x 36 = 144

They are equal.

6 0
3 years ago
Read 2 more answers
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