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worty [1.4K]
2 years ago
8

A pack of red pens can be divided into equal shares among 3, 5, 6 and 9 teachers with no pen left over?

Mathematics
1 answer:
Ugo [173]2 years ago
7 0

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

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The area of a right triangle is 270 square meters. The height of the right triangle is 15 meters. What is the length of the hypo
soldi70 [24.7K]

Answer:

\sqrt{549} ≈ 23.4

Step-by-step explanation:

A = bh

270 = 15b

b = 18

Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse:  a² + b² = c²

15² + 18² = c²

225 + 324 = c²

c² = 549

c = √549

8 0
2 years ago
Read 2 more answers
In Cary’s basketball career, he’s made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, wha
bogdanovich [222]

Answer: 150-170 free throws

Step-by-step explanation:

200 times 80% or .8 will give you 160

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4 0
2 years ago
Write an equation of the line that passes through 3,1 and 0,10
elena-14-01-66 [18.8K]

Answer:y = -3x + 10

Step-by-step explanation:

To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:

where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.

Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:

So the slope between the two points is -3.

From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:

y = mx + b

plug in -3 for m (the slope) and 10 for b (the y-intercept)

y = -3x + 10

So now we have our equation.

I hope you find my answer and explanation helpful. Happy studying. :)

3 0
2 years ago
PLEASE HELP!! THANKS!!
Xelga [282]
A) x • 3 + 4 = 22
b) 22-4= 18
so since 18 is left, what times 3 = 18? thats 6. so
6 x 3 + 4 = 22
we can check.
18 + 4 = 22
it equals 22 so thats your answer. x = 6. hopes this helps
7 0
3 years ago
Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:
Finger [1]
<span>The best answer is C because 2.17 x 2=4.34

</span><span>C. Its value for group A is double the value for Group B.</span>
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