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ololo11
1 day ago
5

Horatio is solving the equation Negative three-fourths + two-fifths x = StartFraction 7 Over 20 EndFraction x minus one-half. Wh

ich equations represent possible ways to begin solving for x? Check all that apply. Two-fifths x = StartFraction 7 Over 20 EndFraction x + one-fourth Two-fifths x = StartFraction 7 Over 20 EndFraction x + five-fourths Negative three-fourths = negative StartFraction 1 Over 20 EndFraction x minus one-half Negative three-fourths = three-fourths x minus one-half Negative three-fourths + StartFraction 1 Over 20 EndFraction x = negative one-half
Mathematics
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leons older brother is 4and 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon
zzz [12365]

Answer: 4\frac{5}{12}\ feet

Step-by-step solution:

Leon’s older brother’s height is 4\frac{3}{4} feet

=\frac{16+3}{4}=\frac{19}{4} feet

Because Leon is 1/3 foot shorter than his brother,

Leon’s height = \frac{19}{4}-\frac{1}{3}

Convert to like fractions by multiplying numerator and denominator: multiply 3 for the first fraction and 4 for the second.

So, Leon’s height = \frac{57}{12}-\frac{4}{12}

=\frac{57-4}{12}\\=\frac{53}{12}=4\frac{5}{12} feet

Therefore, Leon’s height is 4\frac{5}{12}\ feet feet.

8 0
3 months ago
data was collected at a tennis court. it showed that being older implies that a player will stay for a shorter length of time. w
AnnZ [12381]

Answer:

A relationship exists between age and duration of stay; however, causation has not yet been established. Additional research would be necessary to clarify this matter.

Step-by-step explanation:

The answer was checked

7 0
2 months ago
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
babunello [11817]

The last part of the question is asking;

What was the total amount spent by all (99.7%) students on textbooks in a semester?

Response:

almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Stepwise clarification:

The standard deviation rule informs that for normally distributed data, approximately 99.7% of observations fall within three standard deviations from the mean.

In this case, we have the given mean as 240, and standard deviation as 25

Thus, calculating three standard deviations below the mean: Mean - 3(standard deviation)

equals 240 - (3 × 25)

yielding 240 - 75 = 165

Now, for three standard deviations above the mean: Mean + 3 (standard deviation) = 240 + (3 × 25)

equals 240 + 75 = 315

Therefore, nearly all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

7 0
1 month ago
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
AnnZ [12381]

Response:

0.16 acres for each sheep

Explanatory steps:

With a total of 40 acres allocated to 250 sheep, you would calculate the area per sheep by dividing the total acres by the sheep count. This can be represented as:

40/250 =....

7 0
2 months ago
Read 2 more answers
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