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s2008m [1.1K]
3 years ago
9

Aunt Sally’s “New Orleans Most Famous Pralines” sells pralines costing $1.10 each to make. If Aunt Sally’s wants a 35% markup ba

sed on selling price and produces 45 pralines with an anticipated 15% spoilage, what should each praline be sold for?
Mathematics
2 answers:
Vikentia [17]3 years ago
7 0
If we take that 1.10 is the 100%
then we add 35% to that,
how much is that?
well \bf \begin{array}{ccllll}
price&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1.10&100\\
x&100+35
\end{array}\implies \cfrac{1.10}{x}=\cfrac{100}{100+35}

solve for "x"
REY [17]3 years ago
7 0

Answer:

each praline should be sold for $2

Step-by-step explanation:

Aunt Sally's cost on making each pralines = $1.10

Making cost of 45 pralines = 45 × 1.10 = $49.5

Let total selling price of all pralines = s

Markup is 35% of selling price then,

s = 49.50 + 0.35s

s - 0.35s = 49.50

0.65s = 49.50

s = 49.50 ÷ 0.65

s = $76.15

It is given that 15% pralines gets spoiled  

The remaining number of pralines = (45 - ( 15% of 45))

= 45 - (0.15 × 45)

= 45 - 6.75 = 38.25

that means 38.25 pralines will be used to cover total sale of  $76.15

We have to calculate each pralines price so

76.15 ÷ 38.25 = 1.99 ≈ $2.00

To check

Total sale = 76.15

Total cost = 49.50

Margin = 26.65

26.65/76.15 × 100 = 34.996 ≈ 35% of sale

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Norma-Jean [14]

Answer:

The slope of this parallel line is 3.

Step-by-step explanation:

Parallel lines have the same slope.  The given line y = 3x - 2 has the slope 3.  Therefore the desired parallel line also has the slope 3.  This is all that is necessary to answer this question.

The slope of this parallel line is 3.

4 0
3 years ago
According to the University of Nevada Center for Logistics Management, 6% of all mer-
Fudgin [204]

Answer:

a) The point estimate of the proportion of items returned for the population of

sales transactions at the Houston store = 12/80 = 0.15

b) The 95% confidence interval for the proportion of returns at the Houston store = [0.0718 < p < 0.2282].

c) Yes.

We set an hypothesis and construct a test statistics. The test statistics result gives us:

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

Step-by-step explanation:

a) Point estimate of the proportion = number of returned items/ total items sold = 12/80 = 0.15.

b) By formula of confident interval:

CI(95%) = p ± Z*\sqrt{\frac{p*(1-p)}{n} }  =  0.15 \pm 1.96 *\sqrt{\frac{0.15*(1-0.15)}{80} },

CI(95%) = [0.0718 < p < 0.2282]

c) The hypothesis:

H_{0}: The proportion of returns at the Houston store is not significantly different from the returns  for the nation as a whole.

H_{a}: The proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

The test statistics:

Z = \frac{\hat{p} - p_{0}}{\sqrt{\frac{p*(1-p)}{n} }}, where p_{0} is the proportion of nation returns.

Z calculated  = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns  for the nation as a whole.

6 0
3 years ago
Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y =
lina2011 [118]
-2x+14=x²-3x+12
add 2x on both side:
14=x²-x+12
subtract 14 on both side:
x²-x-2=0
factor: (x-2)(x+1)=0
x=2 or x=-1
HOPE THIS HELPS AND PLEASE MARK ME AS BRAINIEST AND ADD ME AS A FRIEND
8 0
3 years ago
Read 2 more answers
five times the difference of twice a number and three, decreased by the sum of the number and eight, equals thirteen
trapecia [35]
5x(2y-3)-(y+8)=13 I believe this is correct
7 0
3 years ago
Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
FromTheMoon [43]

Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x

$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}

Do cross multiplication.

$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}

$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0
3 years ago
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