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tatyana61 [14]
3 years ago
9

20% tip if the bill is 48.25

Mathematics
1 answer:
baherus [9]3 years ago
4 0
20% of 48.25
(20/100) * 48.25
(1/5) * 48.25
9.65

tip is 9.65
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On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.
lidiya [134]

Answer:

12ft \times7ft \times6ft

Step-by-step explanation:

Given that truck can hold = 504 ft^{3} i.e.

Volume, V = 504 ft^{3}

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length \times Width \times Height

Putting the given values and conditions:

504 = 12 \times w \times (w-1)

\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft \times7ft \times6ft.

5 0
3 years ago
The advertising department of a nationally circulated magazine wishes to estimate the mean age of its subscribers within 0.5 yea
zhenek [66]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Margin of error = 0.5 years

Standard deviation = 5

At 90% confidence, z = 1.645

We need to find the minimum size of the sample they must take.

So,

n=(\dfrac{z\sigma}{E})^2\\\\n=(\dfrac{1.645\times 5}{0.5})^2\\\\n=270.6\\\\n\approx 271

Hence, Option 'd' is correct.

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3 years ago
Find the missing number in this proportion. 6 16 = 30 ?
Slav-nsk [51]
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6/16=30/?
6x=480
Divided by 6
?=80
4 0
3 years ago
Which statement is true about the function f(x)= -x?
Oxana [17]

Answer:

Step-by-step explanation:

The domain of the graph is all real numbers.

8 0
3 years ago
Read 2 more answers
Ellie's Bakery is having a grand opening sale. All pastries are being discounted by 25%. Let x represent the regular price of an
Sindrei [870]

a) The expression to find the sale price of pastry =  0.75 x

b)  The regular price of the pastry bought by Kimberly = $2.70

Step-by-step explanation:

Step 1 :

Let x be the regular price of the pastry in the bakery

Percentage of discount = 25%

Amount of discount  = 0.25 x

The expression to find the sale price of pastry = x - 0.25 x = 0.75 x

Step 2 :

Sale price of the pastry bought by Kimberly = $2.03 = 0.75 x

<u>To find the regular price</u>

0.75x = 2.03

x = \frac{2.03}{0.75} = 2.70

Regular price of the pastry bought by Kimberly = $2.70

Step 3 :

Answer :

a) The expression to find the sale price of pastry =  0.75 x

b) The regular price of the pastry bought by Kimberly = $2.70

8 0
3 years ago
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