MATHEMATICS MIDDLE SCHOOL

Factorise this expression:3x - x^2

(If possible, please explain the method used to solve it)

My answer is x(3 - x)
Is that right?

Answers

Answer 1
Answer: Yes you are correct, GCF of both terms is x, so you can factor x out.

3x - x²   ⇒   x(3 - x)
Answer 2
Answer: 3x - x²
x(3) - x(x)
x(3 - x)
Your answer is right.

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The _______ is an appropriate unit to measure the capacity of a hand sanitizer bottle. The _______ is an appropriate unit to measure the capacity of the water in a fountain.

Train A arrives at central station on the hour and every 12 minutes. Train B arrives on the hour and every 15 minutes. When do both trains arrive at thesame time?

A) On the hour and 30 minutes past the hour
B) On the hour and 15 minutes to the hour
C) On the hour and 27 minutes past the hour
D) On the hour

Please explain why you chose the answer and how you achieved it

Answers

2________24___________30
3________36___________45
4________48___________60
5________60, found common minute count. 

60 minutes.__________A____________B
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Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does Olivia need for 18 balloons?

Answers

She needs 7.2 feet of ribbon. She needs 2.4 yards of ribbon. Hope this helps you!

A box has 6 beads of the same size, but all are different colors. Tania draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?1 over 216

1 over 36

1 over 6

1 over 2

I;m thinking its 1/6 but I'm not sure

Answers

It is 1/6 because you only have 6 beads in total meaning that you have a one out of 6 chance of pulling out the yellow bead

Answer:

it is  1/216

Step-by-step explanation:

1/6x1/6x1/6=1/216

Charles reads quickly he reads 1 3/7 pages every 2/3 of a minute. how many pages does he read per minute?

Answers

First, I'd suggest finding a common denominator for your two fractions. Since 7 and 3 both go into 21, let's use that.

2/3 becomes 14/21, because 3 x 7 = 21, and 2 x 7 = 14
1 3/7 becomes 1 9/21, because 7 x 3 = 21, and 3 x 3 = 9

Now, to make the rest of it a bit easier, let's turn the fractions into decimals.

14/21 is 0.66
1 9/21 is 1.43

We can then turn this into a ratio, and then write an equation to solve for how many pages Charles reads per minute.

1.43 pages per 0.66 minutes, or 1.43/0.66

The equation to solve for this would then be
(1.43)/(0.66) = (p)/(1)
where p is the number of pages.

To solve for p, we simply cross multiply and divide.
1.43 x 1 = 0.66 x p
1.43 = 0.66 x p
1.43 ÷ 0.66 = p
p = 2.17

Charles reads 2.17 pages per minute.

How many triangles can be constructed with three angles, each measuring 66°?A one

B none

C more than one

Answers

Answer:

B. None

Step-by-step explanation:

We are given the angles of a triangle as 66°, 66° and 66°

In order for these angles to construct a triangle, the sum of the three angles must be 180°.

So, we get that,

66° + 66° + 66° = 66° + 132° = 198°

Since, the sum of the angles is not 180° .

Therefore, no triangle can be drawn using the angles 66°, 66° and 66°.

Hence, option B is correct
None 3 * 66 = 198
ALL triangles have a total degree measure of 180 degrees

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2)aire d'une sphère de 24 cm de diamètre.
3) volume d'un ballon rond de 240 MM de diamètre.

Answers

1)268.083dm^3

2)7238.23 cm^3

3)7238230 mm^3
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