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4 years ago

URGENT

Mathematics

1 answer:

harina [27]4 years ago

3 0

<span>Just list all elements that belong both to A and to B
A ∩ B = {6,12}</span>

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A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrus

marin [14]

Answer : Greatest number of identical dental care bags the dentist can make with the least items leftover is 1.

Number of bags will be 2,4,3 respectively.

Explanation:

Number of tubes of toothpaste = 56

Number of packets of floss = 112

Number of toothbrushes = 85

So, Greatest number of identical dental care bags the dentist can make with the least amount of items leftover from toothbrush = H.C.F of 56,112, 85= 1 ( ∵ as they are coprime to each other )

Since there is no common factor among 56,112,85 but there is common factor between 56 and 112 i.e. 56 remaining bags from toothbrushes will be 85-56=29 .

So we consider 28 ,

Now, 56 can be written as 28×2

112 can be written as 28×4 and

84 can be written as 28× 3

So, there can be 28 bags in which all the three materials can be present and there is no leftover from toothpaste and floss but there is leftover from toothbrushes only as we consider 84 instead of 85 to get divisible by 28 so we get the common factor easily.

so, there will be 2 two bags for toothpastes and 4 bags for floss and 3 bags for toothbrushes.

8 0

3 years ago

A ferry can travel 100 miles with the current in the same amount of time it takes to travel 60 miles against the current. If the

makvit [3.9K]

$\frac{100}{40+x} = \frac{60}{40-x} 
$
cross multiply
100(40-x) = 60(40 + x)
solve for x
x= 10

3 0

4 years ago

if you start from 0, how many steps do you have to take to get to -3. what does the number of steps represent

Leviafan [203]

Answer:

3 steps

Step-by-step explanation:

FIrst of all, if you think about it, we can just say -3 as 3 ( even though they are not equal, were just counting steps.)

On a number line, negative numbers are on the left of 0 and positive on the right of 0.

So, lets say the middle number is 0 on our number line. -3 is 3 steps to the left. We take 1 step to negative 1, another step to -2, and then a 3rd and final step to -3.

The steps represent how far the number is from 0. FIr example, we have to add 3 to -3 to get to 0, like how we add 7 to 0 to get 7!

Hope this helps!

5 0

3 years ago

Read 2 more answers

Which complex number has an absolute value of 5?

Bess [88]

For this case we can use the Pythagorean theorem to solve the problem.
We have then for the following complex number:
$-3 + 4i
$
Using the Pythagorean theorem:
$\sqrt{(-3)^2+(4)^2}$
Rewriting we have:
$\sqrt{9+16}$
$\sqrt{25}$
$5$
Answer:
A complex number that has an absolute value of 5 is:
A)–3 + 4i

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4 years ago

Read 2 more answers

Plot the point whose spherical coordinates are given. then find the rectangular coordinates of the point. (a) (5, π/3, π/6)

erma4kov [3.2K]

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3 years ago