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Arte-miy333 [17]
3 years ago
14

A farm stand wants to sell fruit to local grocery stores in packages with baskets of strawberries, worth $7 apiece, and baskets

of raspberries, worth $11 apiece. The owner wants each package to include 30 baskets total, and he wants to sell each package for $246. How many baskets of strawberries and how many baskets of raspberries should he put in each package ?
Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

number of baskets of strawberries in each package = 21

number of baskets of raspberries in each package = 9

Step-by-step explanation:

Let x = number of baskets of strawberries in each package.

Let y = number of baskets of raspberries in each package.

Baskets of strawberries worth $7 apiece, and baskets of raspberries, worth $11 apiece. The cost of the each package is $246. This means

7x + 11y = 246 - - - - - - - - -1

The owner wants each package to include 30 baskets total. This means

x + y = 30

Put x = 30 - y in equation 1

7(30-y) + 11y = 246

210 - 7y + 11y = 246

-7y + 11y = 246 - 210

4y = 36

y = 36/4 = 9

x = 30-y = 30-9

= 21

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Answer:

b=3.54

Step-by-step explanation:

9.89-6.35=3.54

6 0
3 years ago
Read 2 more answers
Pls explain the easiest way you an this will help me Thanks XD
Ostrovityanka [42]
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7 0
3 years ago
An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin
Wittaler [7]

Answer:  119,616

You may have to erase the comma when inputting the answer.

=======================================================

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

-------------

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\

The author sold about 119,616 books over the course of the first nine months.

4 0
2 years ago
A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =
podryga [215]

Answer:

Area of the counter top is 5.02\ m^2.

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = 18\times 0.305 = 5.49\ m

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = 3\times 0.305 = 0.915\ m

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = 5.49\times 0.915 = 5.0233\ m^2

Rounding up to 2 decimals we get;

Area of the counter top =  5.02\ m^2

Hence Area of the counter top is 5.02\ m^2.

3 0
3 years ago
Please help me with this
Furkat [3]

Answer:

$1224

Step-by-step explanation:

72 adults in the theater, and 17$ per adult ticket.

72 x 17 is 1224.

6 0
3 years ago
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