MATHEMATICS MIDDLE SCHOOL

Factor the following quadratics completely

Answers

Answer 1

Answer:

The fully factored form of the quadratic is (2r - 7)(r + 6).

2r^2 + 5r - 42

Check if splitting the middle term is possible.

List factors of -84

1 * -84

-1 * 84

2 * -42

-2 * 42

3 * -28

-3 * 28

4 * -21

-4 * 21

6 * -14

-6 * 14

7 * -12

-7 * 12 (these digits satisfy the criteria.)

Split the middle term.

2r^2 + 12r - 7r - 42

Factor by grouping.

2r(r + 6) - 7(r + 6)

Rearrange.

(2r - 7)(r + 6)

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A bag of grass seed weighs 5.8 pounds how many pounds would 2.5 bags weigh

Answers

Answer: 14.5 pounds

Step-by-step explanation: Do 5.8 times 2.5

Final answer:

The weight of 2.5 bags of grass seed, given that one bag weighs 5.8 pounds, is 14.5 pounds. This is calculated by multiplying the weight of one bag (5.8 pounds) by 2.5.

Explanation:

The student's question involves a simple concept in Mathematics which is multiplication. Given that one bag of grass seed weighs 5.8 pounds, to find out how much 2.5 bags would weigh, you multiply the weight of one bag (5.8 pounds) by 2.5. The calculation is as follows: 5.8 pounds x 2.5 = 14.5 pounds. So, 2.5 bags of grass seed would weigh 14.5 pounds.

Learn more about Weight calculation here:

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John is twice as old as her sister Jane. Four years ago, John was three times as old.What is John’s current age?

Answers

$x-Jane\n2x-John\n\nx-4-Jane\ (4\ years\ ago)\n2x-4-John\ (4\ years\ ago)\n\n2x-4=3(x-4)\n2x-4=3x-12\ \ \ /+4\n2x-4+4=3x-12+4\n2x=3x-8\ \ \ /-3x\n2x-3x=3x-3x-8\n-x=-8\ \ \ /\cdot(-1)\nx=8\n\n2x=2\cdot8=16\n\n\nAnswer:John's\ current\ age\ is\ 16\ years.$

Is gram the same thing as pound? Just wanna know

Answers

no they are not the same, not only does the gram weigh a lot less then the pound but they are also two different forms of measuring weight

no they both have different measurements.

A model plane is 1/48 the size of an actual plane. If the model plane is 28 inches long, how long is the actual plane?

Answers

Answer: Hello there!

We know that the model is 28 inches long, and the scale of the model is 1/48 with respect to the real plane.

Now we want to know how long is the actual plane.

If the scale of the model is 1/48, this means that 48 models are equal in length to the actual plane. Then the length of the actual plane is 48 times the length of the model, this is:

L = 48*28 inches = 1344 inches, we could change the units for others more suiting for a plane, using that 1 feet = 12 inches, then we could write the length in feet using dividing the length in inches by 12.

L =1344/12 = 112 feets.

You would say 1/48=28/x and solve the proportion to get an answer of 1344 inches, which is 112 feet.

Of the 800 people at the concert, 42% of them are teenagers. How many teenagers are at the concert?