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Tasya [4]
2 years ago
11

-15(y2)4 divide 5y3y4

Mathematics
1 answer:
Nadya [2.5K]2 years ago
7 0

Answer:

-3y

Step-by-step explanation:

-15(y2)4 ÷5y3y4

Rewrite the division as a fraction

<u>-15(y2)4</u>

 5y3y4

Multiply y3 by y4 by adding the exponents

<u>-5(y2)4</u>

  5y7

Cancel the common factor of -15 and 5

<u>-3(y2)4</u>

  y7

Multiply the exponents in (y2)4

<u>-3y8</u>

 y7

Cancel the common factor of y8 and y7

Factor y7 out of -3y8

<u>y7(-3y)</u>

 y7

Multiply by 1

<u>y7(-3y)</u>

 y7 × 1

Cancel the common factor which is y7 and y7

Rewrite the expression

<u>-3y</u>

 1

Divide -3y by 1

-3y

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What is the total volume of the snow used to make the snowman if the head is 12 inches wide, the middle is 16 inches wide, and t
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The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.

The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
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Your answer would be D. 6,099.97
I hope this helps!
4 0
3 years ago
While attending a school carnival, you estimate the ratio of children to adults as If there are 180 people at the carnival, abou
Karolina [17]

Answer:

180-n_c

Step-by-step explanation:

Given that the ratio of children to adults is 2:1.

Let n_c and n_a be the number of children and adults in the school carnival.

So, \frac {n_c}{n_a} = \frac 2 1

\Rightarrow n_c = 2 n_a \cdots(i)

Given that the total number of peoples in the carnival =180

So, n_c + n_a = 180

\Rightarrow n_a = 180-n_c \cdots(ii)

Now, from equations (i) and (ii), we have

n_c = 2(180-n_c) \\\\\Rightarrow n_c = 360 -2 n_c \\\\\Rightarrow n_c +2n_c = 360 \\\\\Rightarrow 3 n_c = 360 \\\\\Rightarrow n_c = 360/3 = 120.

Hence, the number of children in attendance is 120.

5 0
3 years ago
When solving systems of equations with the elimination
viktelen [127]

Step-by step explanation:

That's a great question. Look for things such as these:

x=x (infinite solution)

x=12 (one solution)

x+3 = x + 5 (no solutions)

https://youtu.be/bq5gDsEdN3Q this video has more information, copy and paste the link into your search engine.

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Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the co
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Answer:64 Meters

Step-by-step explanation:

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It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can pl
melomori [17]

Answer:

The smallest sample size to satisfy the conditions is n=500.

Step-by-step explanation:

The condition for performing the inference related to the sample size is that, for all the categories, the expected success and failures in the sample are at least 10:

np\geq10\\\\n(1-p)\geq10

The largest sample size required will be for the minimum p or (1-p).

This happens to be the proportion that can play other instruments: 2%.

Then, we can calculate the minimum sample size as:

np\geq10\\\\n(0.02)\geq10\\\\n\geq(10/0.02)\\\\n\geq500

6 0
3 years ago
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