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Tanzania [10]
2 years ago
8

The barrels weighed 834 pounds apiece. The ship's cargo included 618 barrels. Therefore, the barrels added pounds in weight to t

he ship's cargo.
Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
6 0
I think you have to add the weights of the cargo ship
You might be interested in
Find the number that makes the ratio equivalent to 8:2.<br> 88:
liraira [26]

Answer:

22 is the number

Step-by-step explanation:

When ratio  

         88:22

Is divided with 11 it gives 8:2

7 0
2 years ago
For which value of b can the expression x2 + bx + 18 be factored?
Dmitry_Shevchenko [17]

Answers:

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

====================================================

Explanation:

Here are all the ways to multiply to 18 when using integers only:

  • -1*(-18) = 18
  • -2*(-9) = 18
  • -3*(-6) = 18
  • 1*18 = 18
  • 2*9 = 18
  • 3*6 = 18

Sum each pair of factors to find out a possible value of b.

  • -1 + (-18) = -19
  • -2 + (-9) = -11
  • -3 + (-6) = -9
  • 1 + 18 = 19
  • 2 + 9 = 11
  • 3 + 6 = 9

Therefore, the possible values of b are

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

which are the final answers.

----------------------

An example:

Let's say b = 11. This would mean x^2+bx+18 becomes x^2+11x+18

It would factor to (x+2)(x+9) since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that x^2+11x+18 = (x+2)(x+9) is a true equation for all real numbers x.

This same idea applies for the other values of b.

----------------------

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get (x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq

The middle term (p+q)x has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).

7 0
1 year ago
Callies family spends an average of $70 per month electric at that rate what can that family expect to pay electric for 1 year
ivanzaharov [21]

Answer:

$840

Step-by-step explanation:

Callies family spends an average of $70 per month electric. At that rate what can that family expect to pay electric for 1 year

Note that:

1 year = 12 months.

Hence, if:

1 month = $70

12 months = $x

Cross Multiply

$x = 12 × $70

$x = $840

Therefore, the amount that family can expect to pay in 1 year(12 month) for electric = $840

4 0
2 years ago
Simplify this expression.<br> 6x/<br> 9(x + y)
iVinArrow [24]

Answer:

9x+9y

Step-by-step explanation:

9(x+9y

9x+9y

solution

9x+9y

4 0
3 years ago
What is the solution to the inequality -3x - 42 &gt; 3
rosijanka [135]

Answer:

I don’t know which answer choice it is since C and D are the same but the answer is supposed to be x < -15.

Step-by-step explanation:

the image has the work shown

5 0
2 years ago
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