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Ahat [919]
3 years ago
13

2024 and 40 children in a class the ratio of boys to girls are 4:7 how many are in the clas

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0
There are 12 boys and 21 girls for a total of 33 students
I’m not sure if this is right!
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factor the polynomial completely and SHOW WORK i’ve been on it for the past 30 minutes and I want to cry 24x^3-78x^2+45x NO LINK
Svetllana [295]

9514 1404 393

Answer:

  3(x)(4x -3)(2x -5)

Step-by-step explanation:

First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...

  (3x)(8x^2 -26x +15)

Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.

  120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

The sums of these factor pairs are ...

  121, 62, 43, 34, 29, 26, 23, 22

The pair with a sum of 26 is highlighted.

Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:

  8x^2 -20x -6x +15

Now, the quadratic can be factored by grouping:

  =  (8x^2 -20x) +(-6x +15)

  = 4x(2x -5) +3(-2x +5)

Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...

  = (4x -3)(2x -5) . . . . . note the sign gets attached to the 3

So, the complete factorization of the original expression is ...

  24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)

3 0
2 years ago
I want solution 1 and 2 with the steps to know the final answer
Delicious77 [7]
Question 1:

Slope = 1/5

y = mx + c 
y = 1/5 x + c
at point (5, -1)
-1 = 1/5 (5) + c
- 1= 1 + c
c = - 2

y = 1/5x - 2
5y = x - 10

Question 2:
slope = (9-5)/(3-1)
Slope = 2

y = mx + c
y = 2x + c

at point (1, 5)
5 = 2(1) + c
c = 5 - 2
c = 3

y = 2x + 3


4 0
3 years ago
Problem Solving<br>If seven coins add to $1, what<br>could the coins be?​
Alchen [17]

Answer:

2 quarters and 5 dimes

Step-by-step explanation:

(2) 25 cent coins = 50 cents

(5) 10 cent coins = 50 cents

equals $1

4 0
3 years ago
Fling<br> Find the slope of the line passing through the points (1,5) and (4,-2).
Katyanochek1 [597]
Subtract x2 from x1 to get -7. After that subtract y2 from y1 to receive 3. That leaves you with -7/3 which simplified is -2.1333*
5 0
3 years ago
Giving Brainliestttttttt to first answer that’s correct!
Luba_88 [7]

Answer:

I think C sorry if wrong

7 0
3 years ago
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