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Angelina_Jolie [31]

3 years ago

15

A school district needs 3 teachers for every 70 students. They expect to have 14,700 in the district next year. At this time the

y have 612 teachers. How many more teachers are needed.

1 answer:

VLD [36.1K]3 years ago

3 0

Answer:

18

Step-by-step explanation:

We can use a proportion to find out the number of teachers that are needed.

3/70 = x/14,700

70x = 3 * 14,700

70x = 44,100

x = 630

630 teachers are needed altogether. Since there are already 612 teachers, the number of more teachers who are needed is the difference between 630 and 612.

630 - 612 = 18

Answer: 18

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in a class of 34 students 19 of them are girls what percentage of the class are girls to 1 decimal place

motikmotik

Answer:

55.9% of the class are girls

Step-by-step explanation:

19/34 = 0.559

0.559 x 100 = 55.9%

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3 years ago

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3% x 10 years is 30%. 47 - 30% is 14.1 or 14

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Step-by-step explanation:

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Ann opened a new savings account with an initial deposit of $250. Which combination will result in a zero in balance in Ann's ac

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C. (10x3)10 - (27.5x2)10 = 0

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4 years ago

What is the sum or difference?

dlinn [17]

1. Ans: Option (B) $-6x^4$

Explanation:
Given: $2x^4 - 8x^4$
Take the common out:
=> $x^4(2 - 8)$

Hence: => $[tex]-6x^4$ [/tex] (Option B)

2. Ans: Option (D) $-3y^5$

Explanation:
Given: $6y^5 - 9y^5$
Take the common term(s) out:
=> $y^5(6-9)$

Hence: => $-3y^5$ (Option D)

3. Ans: Option (B) $9x^2 - 12x + 6$ <span> quadratic trinomial

Explanation:
</span>Given: $6 - 12x + 13x^2 - 4x^2$

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> $13x^2 - 4x^2 - 12x + 6$
=> $9x^2 - 12x + 6$ (Option B)

4. Ans: Option (C) $7.3x^2 + 0.8x + 1.3$

Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

</span>Common guppies: $3.1x^2 +6.0x + 0.3$ <span>
Endler's guppies: </span> $4.2x^2 - 5.2x + 1.0$
(add both)
-----------------------------------------------------------------
Total number: $7.3x^2 +0.8x + 1.3$
-----------------------------------------------------------------
Hence the ans is Option(C) $7.3x^2 + 0.8x + 1.3$

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = $266x^2$

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = $266x^2$ - $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) $56x^2$

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = $60x^2$

Now the area of the stadium:
Area of the stadium = 1x * 4x = $4x^2$

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= $60x^2$ - $4x^2$
=> Final area of the lot = $56x^2$ (Option A)

-i

4 0

3 years ago

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