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Likurg_2 [28]
4 years ago
8

Fernando is getting balloons for his aunt's birthday party. He wants each balloon string to be 12 feet long. At the party store,

string is sold by the yard. If Fernando wants to get 78 balloons, how many yards of string will he need?
Mathematics
1 answer:
blondinia [14]4 years ago
5 0

Answer:

312 yards

Step-by-step explanation:

No. of balloons = 78

Balloon string to be long = 12 feet

Total string for 78 balloons = 78 x 12

                          = 936 feet

I yard = 3 feet

Total no. of yards required = 936/3 = 312 yards

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Simplify 81p6q2÷3p2q5 HELPPP​
goldfiish [28.3K]

Answer:

\displaystyle \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} = \frac{27\, p^{4}}{q^{3}}.

Step-by-step explanation:

Make use of the fact that for any x \ne 0 and integer n:

\displaystyle \frac{1}{x^{n}} = x^{-n}.

For example, in this question:

\displaystyle \frac{1}{p^{2}} = p^{-2}.

\displaystyle \frac{1}{q^{5}} = q^{-5}.

Thus, the original expression would be equivalent to:

\begin{aligned}& \frac{81\, p^{6}\, q^{2}}{3\, p^{2} \, q^{5}} \\ =\; & \frac{81}{3}\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\ =\; & 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5})\end{aligned}.

Also make use of the fact that for any x \ne 0, integer m, and integer n:

x^{m}\, x^{n} = x^{m + n}.

Thus:

\begin{aligned}& 27\, (p^{6}\, p^{-2})\, (q^{2}\, q^{-5}) \\=\; & 27\, p^{6 + (-2)}\, q^{2 + (-5)} \\ =\; & 27\, p^{4}\, q^{-3} \\ =\; & \frac{27\, p^{4}}{q^{3}}\end{aligned}.

3 0
2 years ago
I need help please I need to get the right answer
Vladimir [108]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale f
forsale [732]

Answer:

8.68

Step-by-step explanation:

just multiply 124.00 times 0.07 and that's it

6 0
3 years ago
Which of the following is the number 0.008005 written in scientific notation?
Tcecarenko [31]
A. 8.005 • 10² = 800.5 (Incorrect)

B. 8.500 • 10⁻³ = 0.0085 (Incorrect)

C. 8.005 • 10⁻⁴ = 0.000801 (Incorrect)

D. 8.005 • 10⁻³ = 0.008005 (Correct)

Answer: D. 8.005 • 10⁻³
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3 years ago
Sandra rolls 2 fair dice.<br> What is the probability of both dice showing a different number?
IRINA_888 [86]

Answer:

Each one has 3 even and 3 odd numbers.

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The probability of the second one being even is also 1/2.

The probability of both being even would be 1/2 x 1/2 = 1/4 probability

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