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nlexa [21]
1 year ago
6

4 students is what percentage of 20 students?2 doctors is _____% of 25 doctors.

Mathematics
1 answer:
Ray Of Light [21]1 year ago
4 0

In both cases, we can use a rule of three.

<h2>First part</h2>\begin{gathered} 20\text{ students}\rightarrow100\text{\%} \\ 4\text{ students}\rightarrow x \\ x=\frac{4\text{ students}\cdot100\text{\%}}{20\text{ students}} \\ x=\frac{4\cdot100\text{\%}}{20} \\ x=\frac{400\text{\%}}{20} \\ x=20\text{\%} \end{gathered}

Therefore, 4 students correspond to 20% of 20 students in total.

<h2>Second part</h2>\begin{gathered} 25\text{ doctors}\rightarrow100\text{\%} \\ 2\text{ doctors}\rightarrow x \\ x=\frac{2\text{ doctors}\cdot100\text{\%}}{25\text{ doctors}} \\ x=\frac{2\cdot100\text{\%}}{25} \\ x=\frac{200\text{\%}}{25} \\ x=8\text{\%} \end{gathered}

Therefore, 2 doctors correspond to 8% of 25 doctors in total.

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Murljashka [212]

Answer:

Area= 105.12 feet squared

7 0
3 years ago
Factor Trinomials (a=1)<br> factor <br><br> x^2-10x+16
dem82 [27]

Answer:

(x-8)(x-2)

Step-by-step explanation:

factors of 16:

1 x 16

2 x 8

4 x 4

i'll select 2 and 8 as values because they can add up to 10

(x-8)(x-2)

i made them both negative so the middle term would be -10 but, when multiplied, would equal positive 16

8 0
2 years ago
Ay bought a guitar on sale at 45% off. The original price was $576.75.
Mademuasel [1]

Answer:

a) $259.54    b) 317.21

Step-by-step explanation:

45% of $576.75 is $259.54

$576.75 - $259.54 = $317.21

4 0
3 years ago
Tina was asked to determine the possible dimensions of a given rectangle whose area is 12a4b3-18a6b3-72a7b3. Tina stated that th
Rufina [12.5K]

Answer:

Tina is correct

Step-by-step explanation:

Given

Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3

Required

State if 3a^4b^3(4-6a^2-24a^3) is a possible dimension

To do this, we simply expand 3a^4b^3(4-6a^2-24a^3)

3a^4b^3(4-6a^2-24a^3)

3a^4b^3 * 4-3a^4b^3 * 6a^2-3a^4b^3 * 24a^3

12a^4b^3 - 18a^{4+2}b^3 * -72a^{4+3}b^3

12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3

By comparison, the result of the expansion

12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3

and the given expression

Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3

are the same.

<em>Hence, Tina is correct</em>

7 0
2 years ago
Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2
hram777 [196]

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9

4 0
3 years ago
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