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3 years ago

Okay guys I'm not very good at word problems, but here's my question:

Mathematics

1 answer:

allsm [11]3 years ago

8 0

Answer:

54 students

Step-by-step explanation:

331 - 7 = 324

324 divided by 6 = 54

Hope this helps :D

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A laundry basket has 30 t-shirts in it. The basket has 15 red shirts, 5 blue shirts and the rest are white. What is the probabil

4vir4ik [10]

Answer:

5/30 = 1/6

Step-by-step explanation:

We have the following information available in this question

Total t shirts I. This laundry basket = 30

15 t shirts = red

5 tshirts = blue

Then white t-shirts would be = 30-(5+15)

= 20

The probability of picking blue t shirt =

Total number of blue t-shirt divided by total number of t shirts

= 5/30

= 1/6 when reduced further as a fraction

8 0

3 years ago

Urgent Please help!!!!!!!

MakcuM [25]

Answer:

d) 5 lollipops each and 3 left over

Step-by-step explanation:

To find out how many each of them get, you need to find the total amount of lollipops to be shared equally.

Total No. of lollipops = 3 + 5 + 7 + 4 + 9

= 28

No. of lollipops each of them get = 28 ÷ 5

= 5 R3

(To find the remainder of something, you have to know how much is the quotient (which is 5 in this case), multiply it by the divisor (which is also 5 in this case) then minus that number from the total (which is 28 in this case) )

Additional working:

5 × 5 = 25

28 - 25 = 3 (remainder)

5 0

3 years ago

Read 2 more answers

Differentiate y=tan (x^2-5x+6)

slavikrds [6]

Use the chain rule:

y = tan(x ² - 5x + 6)

y' = sec²(x ² - 5x + 6) × (x ² - 5x + 6)'

y' = (2x - 5) sec²(x ² - 5x + 6)

Perhaps more explicitly: let u(x) = x ² - 5x + 6, so that

y(x) = tan(x ² - 5x + 6) → y(u(x)) = tan(u(x) )

By the chain rule,

y'(x) = y'(u(x)) × u'(x)

and we have

y(u) = tan(u) → y'(u) = sec²(u)

u(x) = x ² - 5x + 6 → u'(x) = 2x - 5

Then

y'(x) = (2x - 5) sec²(u)

y'(x) = (2x - 5) sec²(x ² - 5x + 6)

as we found earlier.

5 0

3 years ago

The philosophers Socrates, Plato, and Aristotle shared what common belief? A) democracy is the best form of ruling the masses B)

GenaCL600 [577]

Answer:

Step-by-step explanation: democracy is the best form of ruling the masses

8 0

3 years ago

Read 2 more answers

Write a polynomial function with the given zeros. multiply the terms (write in standard form).

ryzh [129]

$1) \ f(x)=x^3-3x-2 \\ \\ 2) \ g(x)=x^3-x^2-6x$

<h2>Explanation:</h2>

$A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0$

In this exercise, we have two cases and both will be polynomial functions with degree 3 because we have three real roots in each case. So:

<h3>First.</h3>

The roots are:

$x= -1, -1, 2$

So we can write this polynomial functions as the product of linear factors:

$f(x)=(x-(-1))(x-(-1))(x-2) \\ \\ f(x)=(x+1)^2(x-2)$

Since we have to write it in standard form, let's expand:

$f(x)=(x+1)^2(x-2) \\ \\ \\ By \ property: \\ \\ (a+b)^2=a^2+2ab+b^2 \\ \\ \\ f(x)=(x^2+2x+1)(x-2) \\ \\ f(x)=x^3+2x^2+x-2x^2-4x-2 \\ \\ \\ Combine \ like \ terms: \\ \\ x^3+(2x^2-2x^2)+(x-4x)-2 \\ \\ \\ \boxed{f(x)=x^3-3x-2}$

<h3>Second.</h3>

The roots are:

$x= -2, 0, 3$

Writing the polynomial function as the product of linear factors:

$g(x)=(x-(-2))(x-0)(x-3) \\ \\ g(x)=(x+2)x(x-3) \\ \\ g(x)=x(x+2)(x-3) \\ \\ \\ Distributive \property: \\ \\ g(x)=x(x^2-3x+2x-6) \\ \\ g(x)=x(x^2-x-6) \\ \\ \\ Distributive \ property \ again: \\ \\ \boxed{g(x)=x^3-x^2-6x}$

<h2>Learn more:</h2>

Degree of polynomial functions: brainly.com/question/5451252

#LearnWithBrainly

7 0

3 years ago

Read 2 more answers