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notsponge [240]
3 years ago
5

Shaun needs to make mortar for brick-laying. It is made in the ratio 7:3 of sand to cement.

Mathematics
1 answer:
Tju [1.3M]3 years ago
7 0
Sand to cement
7:3

210:x

ask yourself what number is needed to multiply by 7 to get 210 ( so you'd divide 210 by 7 which is 30). Multiply the other side by thirty as well to get the value of x

3*30 which is 90

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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 ...

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3 0
2 years ago
What is 12 to the 2nd power
Alex Ar [27]

Answer: 144

Step-by-step explanation: The problem shown here can be read as "10 to the 2nd," oe "12 to the 2nd power."

The 12 is called the base and the 2 that is raised up is called the exponent.

The exponent of 2 tells us that we multiply our base 2 times.

So we have 12 · 12 which is 144.

The numbers that we multiply together are called factors so in this problem, we have 2 factors of 12.

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yulyashka [42]

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Step-by-step explanation:

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