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3 years ago

How do you write 9.59 x 10^2 in a standard form?

Mathematics

1 answer:

Alexxandr [17]3 years ago

8 0

Answer:

You get

392

by moving the point to the right.

Explanation:

look at the power of 10:

you move the point to the right of many places as the (positive) value of the exponent of 10, which, in this case is 2.

You get:

3.92 → to places to the right:

39.

392.0= 392

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What is the surface area of the prism? A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.

Naddik [55]

Answer:

52m²

Step-by-step explanation:

For this you would consider each face of the figure as a rectangle, and then multiply it by two.

Face 1:

3m×4m×2=24m²

Face 2:

4m×2m×2=16m²

Face 3:

3m×2m×2=12m²

Then you add each of them together to get the overall surface area

12m²+16m²+24m²=52m²

Therefore the final surface area is 52m²

5 0

3 years ago

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Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and rem

True [87]

Answer:

3/5

Step-by-step explanation:

We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.

Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.

Least common multiple of 3 & 5 is 15.

Thus,let's make the length of the branch to be 15-meter long.

Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:

3, 5, 6, 9, 10, 12 meters.

We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;

Distinct lengths are;

3 metres

5 - 3 = 2 metres

10 - 9 = 1 meter

Total she removes = 3 + 2 + 1 = 6 meters.

Total remaining is;

15 - 6 = 9 meters

Expressing this as a fraction of the original branch gives:

9/15

Divide both numerator and denominator by 3 to get; 3/5

7 0

3 years ago

A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

Romashka-Z-Leto [24]

Answer:

The probability that it is grape juice, given that the juice is not sugar free is 0.769 or 76.9%

Step-by-step explanation:

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}$

A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.

Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.

Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,

$P(\text{Grape }\cap \text{ Not sugar free})=\dfrac{10}{27}$

$P(\text{Not sugar free})=\dfrac{10+3}{27}=\dfrac{13}{27}$

Putting the values,

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}=\dfrac{\frac{10}{27}}{\frac{13}{27}}=\dfrac{10}{13}=0.769$

5 0

4 years ago

Read 2 more answers

On Saturday, 150 people at a movie theater purchased popcorn, and 350 people did not purchase popcorn. What percentage of people

MaRussiya [10]

Answer:

70% of people did not order popcorn at the movie theater on Saturday.

Step-by-step explanation:

first, add to get the total amount of people

150 + 350 = 500

now that we have the total, divide the people that did not buy popcorn by the total amount of people

350/500 = 0.7

then, multiply that by 100

0.7 x 100 = 70

your final answer would be 70%

7 0

3 years ago

which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2,

ipn [44]

Answer:

B. (6,2) and (3,0)

Step-by-step explanation:

To find the slope the equation is $\frac{y_{2-y_{1} } }{x_{2} -x_{1} }$ so for (6,2) and (3,0) the equation would look like this $\frac{0-2}{3-6}$ which simplies down to $\frac{-2}{-3}$ and a negative divided by a negative is a positive so you're slope is $\frac{2}{3}$ and it matches the question.

3 0

3 years ago

Read 2 more answers