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2 years ago

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Ms. Bohannon has 45 students in her 6th grade class. There is a ratio of boys to girls is 5 to 6. Which number could be the numb

er of boys in Ms. Bohannons 6th grade class?

2 answers:

Schach [20]2 years ago

8 0

Answer:

5 boys could be the Answer im pretty sure its the Anwser ?

Step-by-step explanation:

Whitepunk [10]2 years ago

7 0

Answer: 22 boys and 23 girls

Step-by-step explanation:

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Five rational numbers between -1 and -2

Vika [28.1K]

Answer:

-1/2, -1/3,-1/4,-1/5

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3 years ago

Evaluate dydx at x=2 for the function below.<br><br> y=6u^3+5u+2, where u=−3x^2−4x+9

bekas [8.4K]

Step-by-step explanation:

$y = 6u {}^{3} + 5u + 2$

$y = 6( - 3 {x}^{2} - 4x + 9) {}^{3} + 5( - 3 {x}^{2} - 4x + 9) + 2$

Use the chain rule.

$\frac{dy}{dx} = 6(3)( - 3 {x}^{2} - 4x + 9) {}^{2} ( - 6x - 4) + 5( - 6x - 4)$

$18( - 3 {x}^{2} - 4x + 9) {}^{2} ( - 6x - 4) + 5( - 6x - 4)$

Factor out -6x-4,

$( - 6x - 4)(18( - 3 {x}^{2} - 4x + 9) {}^{2} + 5)$

Know plug in x=-2 to evaluate the derivative

$( - 6(2) - 4)(18( - 3(2) {}^{2} - 4(2) + 9) {}^{2} + 5)$

$( - 16)(18(( - 12) - 8 + 9)) {}^{2} + 5)$

$- 16(18( - 11) {}^{2} + 5)$

$- 16(2183)$

$- 34928$

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7 months ago

4(9-x)6-6(4-7x)>5(1-2x)-8x+9(6-x)

Kazeer [188]

Answer:

x > 133/45

WORKING :

Multiply the number : 4 . 6 = 24

24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)

expand 24(9 - x) - 6(4 -7x) : 18x + 192

expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59

18x + 192 > -27x + 59

subtract 192 from both sides

18x + 192 - 192 > -27x + 59 - 192

simplify

18x > -27x - 133

add 27x to both sides

18x + 27x > - 27x - 133 + 27x

simplify

45x > - 133

Divide both sides by 45

45x/45 > 133/45

Simplify

x > 133/45

FINALLY ANSWER :

X > 133/45

6 0

2 years ago

You downloaded a video game to your computer.You have 60-minute free trail of the game.It takes 5 minutes to set up the game and

Lorico [155]

$6$
that is the answer to the equation of your question

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2 years ago

Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.

Sladkaya [172]

Answer:

The solution is $\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

Step-by-step explanation:

From the question

The function given is $f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx$

The indefinite integral is mathematically represented as

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx$

Now let $e^{2x} = u$

=> $\frac{du}{dx} 2e^{2x}$

=> $2 e^{2x}dx = du$

So

$\int\limits {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx = \int\limits {\frac{1}{ 2(25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 25 + u^2)} } \, du$

$= \frac{1}{2} \int\limits {\frac{1}{ 5^2 + u^2)} } \, du$

$= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C$

Now substituting for u

$\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C$

3 0

2 years ago