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yKpoI14uk [10]
3 years ago
7

A construction worker bought several bottles of juice for $3 at the comedian store she paid for them the $20 bills if J represen

ts a number of bottles of juice write an expression for the change she would receive
Mathematics
1 answer:
irina [24]3 years ago
4 0

Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

<u>Solution:</u>

Given that  

A construction worker bought several bottles of juice for $3 at the comedian store

She paid for them the $20 bills

Number of bottles of juice is represented by variable J

Need to write an expression for the change she receives.  

From given information

Price of 1 juice bottle = $3

\text { So price of J juice bottles }=\mathrm{J} \times \text { Price of } 1 \text { juice bottle }

=\mathrm{J} \times 3=3 \mathrm{J}

<em>Change she receives = Amount she paid - price of J juice bottles   </em>

=> Change she receives = 20 – 3J

Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

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Step-by-step explanation:

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3 years ago
A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)
stiks02 [169]

Answer:  82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB =\sqrt{(9+1)^2+(-1-7)^2} units  [By distance formula : \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41} units

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=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}

Area = length x width

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Hence, the  area of the rectangle is 82 sq. units .

7 0
3 years ago
Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
iren [92.7K]

Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

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<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

<em>Tate drinks lemonade = 32 fl. oz.</em>

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

76-32

=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

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3 years ago
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