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Andreas93 [3]
3 years ago
6

the area of a square room can be expressed as 196x12y10z6 square feet . hajime is installing a wallpaper border along the perime

ter of the room. what is the perimeter? a.52x6|y5z3| feet b.52x10y8z4 feet c.56x10y8z4 feet d.56x6|y5z3| feet
Mathematics
1 answer:
pantera1 [17]3 years ago
7 0
Area for square = s² = 196x¹²y¹⁰z⁶

s = √(<span>196x¹²y¹⁰z⁶)

s = 14x</span>⁶y⁵z³

Perimeter = 4*s = 4*(14x⁶y⁵z³) = 56x<span>⁶y⁵z³

Perimeter = 56</span>x<span>⁶y⁵z³        D</span>
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Mia and Luke made 85 origami together. Mia made 4 pieces of origami every 3 minutes. Luke made 3 pieces of origami every 4 minut
julia-pushkina [17]
For ease of solving, let's first find the rate of Mia and Luke per minute. Since Mia can do 4 pieces every 3 minutes, then she can do \frac{4}{3} of a piece per minute. Luke on the other hand can do \frac{3}{4} of a piece per minute.

To find how many pieces they made, we first need to find the time it took for them to make the pieces. We assign t as the time Mia spent making origami. Since Luke spent 5 more minutes, we can denote his time as t+5.

Putting this into an equation we'll get:
\frac{4}{3}t+ \frac{3}{4}(t+5)=85
\frac{4}{3}t+ \frac{3}{4}t+\frac{15}{4}=85
\frac{25}{12}t=81.25
t=39

Therefore, Mia made pieces of origami for 39 minutes. Knowing this, we can find out the number of pieces of origami she made:
39* \frac{4}{3} =52

ANSWER: Mia made 52 pieces of origami.
7 0
3 years ago
A store sells 2 1/2 pounds of shrimp for $18. What is the unit price of the shrimp? Explain Plz
krok68 [10]
2 1/2 pounds = $18
for 1 pound = How many dollars

1 pound = $18 ÷ 2 1 /2
= 18 ÷ 2.5
= $ 7.2

1 pound = 453.6 grams
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price of 1 gram = 7.2 / 453.6 = $ 0.0158
4 0
4 years ago
The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun
Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

6 0
3 years ago
10g ( 3 ) = log 2 – 3logy<br><br> Is it true or false?
PilotLPTM [1.2K]

Answer:

True

Step-by-step explanation:

Answer ↓

6 0
3 years ago
an Olympic swimming pool is 6 meters long how many lives will and have to swim in order to swim 1 kilometer
vlada-n [284]
I'm guessing you mean laps here
Let's find out how many meters are in a kilometer. Kilo is 1000 more than a single unit, so for every kilometer you have 1000 meters.

so divide 1000/6 to find the amount of laps to swim 1 kilometer

166.6667
8 0
4 years ago
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