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3 years ago

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Initially, there were equal amount of roses and tulips at a store. Each bouquet was made with 3 roses and 4 tulips. After the bo

uquets were all made, there were 30 roses and 18 tulips left in the store. How many bouquets were made?

1 answer:

adelina 88 [10]3 years ago

8 0

Answer:There were 10 bouquets of roses made and 4.5 bouquets of tulips made

Step-by-step explanation:

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Find the 14th term of the geometric sequence 5 -10 20

Anna [14]

Answer:

a14 = -40,960

Step-by-step explanation:

The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...

an = a1·r^(n-1)

an = 5·(-2)^(n-1)

The 14th term is then ...

a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192

a14 = -40,960

7 0

3 years ago

Read 2 more answers

polynomial function of degree 4 with -1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1

iren [92.7K]

$\bf \begin{cases}
x=-1\implies &x+1=0\\
x=0\implies &x=0
\end{cases}
\\\\\\
\stackrel{\textit{multiplicity of 3}}{(x+1)^3}~~\stackrel{\textit{multiplicity of 1}}{(x)^1}=\stackrel{original~polynomial}{0}
\\\\\\
(x^3+3x^2+3x+1)(x)=\stackrel{y}{0}\implies x^4+3x^3+3x^2+x=y$

6 0

3 years ago

After breaking your penny bank, you notice that you have $4.87 in quarters ($0.25), dimes ($0.10), nickels ($0.05), and pennies

ira [324]

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of dimes be 'x'.

Let the number of nickels be ' $\dfrac{3}{2}x$ '.

Let the number of pennies be $\dfrac{3}{2}\times 2x=3x$

Let the number of quarters be '3x-34'.

As we know that

1 quarter = $0.25

1 dime = $0.10

1 nickel = $0.05

1 penny = $0.01

According to question, we get that

$0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14$

So, the number of pennies is given by

$3x=3\times 14=42$

Hence, Option 'c' is correct.

3 0

2 years ago

suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel af

Darya [45]

Answer:

The object travels 144,000,000 feet.

Step-by-step explanation:

The distance the object travel after t seconds is given by:

$d(t) = 64t^2$

How far would the object travel after 1.5 * 10^3 seconds

This is d when $t = 1.5 \times 10^3 = 1500$ , so $d(1500)$

$d(1500) = 64*1500^2 = 144000000$

The object travels 144,000,000 feet.

8 0

3 years ago

If Amanda walks at an average speed of 2.72 miles per hour how long will it take her to walk 6.8 miles

defon

Two and a half hours

8 0

3 years ago