A rectangular tile has a decorative pattern of 3 equal-sized squares, each of which is divided into 2 same-sized triangles. If M

arnie uses 36 of these tiles on the wall behind her kitchen stoves, how many triangles are displayed?

In order to determine the reduced price, we'll first need to calculate it. For a percentage decrease, we apply the following formula:

(1 - p)m

(p = percentage in decimal format and m = original value)
In our instance:

Once we've established the discounted amount, we need to add the 4.5% sales tax, which will require using this formula for a percentage increase:

$15\% = 0.15\\\\(1-0.15)*83\\0.85*83\\70.55$ (1 + p)m

In this situation:

Finally, we'll combine the shipping costs:

$4.5\%=0.045\\\\(1+0.045)*73.55\\1.045*70.55\\73.72$ Response

Enzel's total expenditure amounts to $80.07. $73.72+6.35=80.07$

8 0

2 months ago

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What is the following product? RootIndex 3 StartRoot 16 x Superscript 7 Baseline EndRoot times RootIndex 3 StartRoot 12 x Supers

PIT_PIT [12445]

Response:

I'm uncertain about the problem, but I believe it relates to: $4x^5\sqrt[3]{3x}$

$\sqrt[3]{16x^7} \times \sqrt[3]{12x^9} =$

$= \sqrt[3]{16 \times 12 \times x^{16}}$

$= \sqrt[3]{192 \times x^{15} \times x}$

$= \sqrt[3]{64 \times 3 \times (x^5)^3 \times x}$

$= \sqrt[3]{4^3 \times 3 \times (x^5)^3 \times x}$

$= 4x^5\sqrt[3]{3x}$

8 0

2 months ago

A game spinner has regions that are numbered 1 through 8. If the spinner is used twice, what is the probability that the first n

Zina [12379]

Let P(3) denote the probability of landing on 3 in a spin, and P(5) denote the probability of landing on 5. In probability terms, "AND" signifies multiplication while "OR" indicates addition. We aim to find the probability that the first number is "3" AND the second number is "5." Thus, we identify the individual probabilities and MULTIPLY them. The spinner has numbers ranging from 1 to 8, each appearing once. Therefore, since there is one instance of "3," we have P(3) = 1/8 and similarly P(5) = 1/8. Consequently, the overall probability of P(3 and 5) is 1/8 multiplied by 1/8, which equals 1/64.

4 0

2 months ago