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faust18 [17]
3 years ago
11

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flo

wering plants sell for $5. How many pink flowering plants did Arianna buy?
I figured out the answer! The answer is 7.

8x +5y = 96
plug in 7 for x
8 (7) + 5y = 96
56 + 5y = 96 subtract 56 from both sides
5y/y = 40/5
y = 8

She bought 7 pink and 8 purple plants
Mathematics
2 answers:
Orlov [11]3 years ago
8 0

For this case we propose a system of equations:

x: Variable representing the plant with pink flowers

y: Variable representing the plant with purple flowers

We have as data that:

x + y = 15\\8x + 5y = 96

From the first equation we have to:

x = 15-y

Substituting in the second equation:

8 (15-y) + 5y = 96\\120-8y + 5y = 96\\-3y = 96-120\\-3y = -24\\y = \frac {-24} {- 3}\\y = 8

Arianna bought 8 purple flowers.

Now we have:

x = 15-8\\x = 7

Arianna bought 7 pink flowers.

Answer:

Arianna bought 7 pink flowers.

Nataliya [291]3 years ago
3 0

Answer:

7 & 8

Step-by-step explanation:

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C o.75,0.5 yes it is 



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4 years ago
Read 2 more answers
What is 13.989 to the nearest hundredth place?
Rashid [163]

Answer:

13.99

Step-by-step explanation:

So the hundredths place is the second digit after the decimal point in this case it is 8.

So the number after it is 9 so we round up.

The number after 8 is 9

So 13.989 to the nearest hundredth place is 13.99

3 0
3 years ago
A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?
Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

7.2=  \frac{k}{ - 4}

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

a =  -  \frac{28.8}{b}

When

b = 6

That's

a =  -  \frac{28.8}{6}

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

7 0
4 years ago
Jean works as a secretary for a local business. She is paid $10.50 per hour. She
PIT_PIT [208]

Answer:

$472.5

Step-by-step explanation:

10.5x

10.5 × 45= $472.5

5 0
3 years ago
There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and
JulijaS [17]
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

Sₙ = (n/2)(t₁ + tₙ)

where n is the term numbers, t₁ is the first term, tₙ is the nth term

We want to sum up to 22 terms, so we need to find the 22nd term

Formula for general term of an arithmetic sequence:

tₙ = t₁ + (n-1)d,

where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is

tₙ = 23 + (n-1)(4)

The 22nd term, which is the 22nd row, is

t₂₂ = 23 + (22-1)(4) = 107

There are 107 seats in the 22nd row.

So we use the sum formula to find the total number of seats:

S₂₂ = (22/2)(23 + 107) = 1430 seats

Total of 1430 seats.
If all the seats are taken, then the total sale profit is

1430 * $29.99 = $42885.70
4 0
3 years ago
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