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3 years ago

How much will a cube shaped box hold if each side measures 3.5ft

Mathematics

1 answer:

poizon [28]3 years ago

7 0

Answer:

A cube shaped box can hold 42.875 cubic ft if each side measures 3.5ft

Step-by-step explanation:

We have given a cube shaped box.

Each side of a cube measures 3.5ft

A cube shaped box can hold up-to its maximum volume capacity.

That means , we need to find the volume of cube.

volume of cube = $side^{3}$

Here side = 3.5 ft

So, volume of cube = $3.5^{3}$

Volume of cube = 42.875 cubic ft

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Using the pie chart below, if 300 students were polled on their favorite ice cream flavor, how many more students preferred stra

Paladinen [302]

Since there are 300 students you have to use proportions to solve the percents. First for strawberry you need to set up a proportion such as x/300=30/100 to show you are trying to find 30%of 300. Then you must cross multiply so 300 times 30 and 100 times x. Then you have 9,000 and 100, so you divide 9,000 by 100 and then you get 90 which is the portion of kids who liked strawberry flavored ice cream. You should do the exact same thing for vanilla ice cream like this: x/300=29/100 but since you’re finding 29% you need to put a 29 over 100. Then you cross multiply and do 300 times 29 and do x times 100. Which makes you get 8,700 and 100, and then you divide 8,700 by 100 and get 87 for vanilla ice cream. Lastly you need to subtract 87 from 90 since it asked how many more students liked strawberry than vanilla: 90-87=

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2 years ago

Line s passes through points (7, 10) and (2, 14). Line t is parallel to line s. What is the slope of line t?

notsponge [240]

Answer:

The slope of line t is -4/5.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(2-7)

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Parallel lines have same slopes.

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3 years ago

Greek architects considered a rectangle whose length was approximately 1.6 times its width to be the most visually appealing. fi

Oliga [24]

Let
x-------------> the length of a rectangle
y-------------> the width of a rectangle
we know that
x+y=130-----------> equation 1
and
x=1.6y--------------> equation 2

I substitute 2 in 1
(1.6y)+y=130-------------> 2.6y=130------------> y=130/2.6------> y=50 ft
x=1.6y--------> x=1.6*50---------> x=80 ft

the answer is
the length is 80 ft
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3 years ago

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, s

SpyIntel [72]

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = $\frac{x-\mu}{\sigma}$

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For Gertrud Bacher:

z-score = $\frac{129-137}{5}$

z-score = $-1.6$ (s)

The negative sign indicates Bacher's mean is less than the mean

For Yelena Prokhorova:

z-score = $\frac{660-600}{30}$

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

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3 years ago

51:9 in simplelest form

Svet_ta [14]

the answer should be 17/3

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3 years ago