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3 years ago

Can someone help me please!!

Mathematics

1 answer:

Reika [66]3 years ago

3 0

Answer:

X = 12

4x + 12 = 5x
subtract 4x on each side and you're left with x=12

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There are 620 students and 31 teachers at the Turner Middle School.There are 950 students and 38 teachers at the Green Middle Sc

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We begin with the Turner Middle School:
Ratio of students to teachers: $\frac{620}{31}$
Green Middle School:
Ratio of students to teachers: $\frac{950}{38}$
Let check that we cannot form a proportion:
$\frac{620}{31}=20\text{ and } \frac{950}{38}=25$
The two ratios are not equals so we cannot form a proportion.
Let x be the number of teachers that Green have to hire in order to make the two ratios equal. We get the equation:
 $\frac{950}{38+x}=\frac{620}{31}\text{ and we solve the equation like this:}\\38+x=\frac{950\times31}{620}=47.5 \text{ and then:}\\x=47.5-38=9.5$

The Green school need to hire 9 teachers.

Part-to-whole ratio:
Turner Middle School:
$\frac{620}{31+620}$
Green Middle School:
$\frac{950}{38+950}$

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3 years ago

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A sawdust pile has a base diameter of 35 feet when it’s height is 30 feet, find the volume of the pile when it is at 50 feet tal

ladessa [460]

Answer:

The volume of the sawdust pile is 16041.7 feet.

Step-by-step explanation:

The sawdust pile formed is in the form of a cone.

The volume of a cone is:

$V=\frac{1}{3}\ \pi r^{2}\ h$

The information provided is:

r = radius of the base = diameter ÷ 2 = (35 ÷ 2) feet

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Compute the volume of the sawdust pile as follows:

$V=\frac{1}{3}\ \pi r^{2}\ h$

$=\frac{1}{3}\times \frac{22}{7}\times (\frac{35}{2})^{2}\times 50\\\\=16041.6667\\\\\approx 16041.7\ \text{feet}$

Thus, the volume of the sawdust pile is 16041.7 feet.

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Answer:

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