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3 years ago

6!3! divided by 2!5! Simplify the answer as much as possible.

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

6 0

Answer:

3/20

Step-by-step explanation:

Set up the quotient:

6!3!

------

2!5!

6! is equivalent to 6*5!, and so we have:

6*5!3! 6*5!3! 6*3*2*1 6

------------ which reduces to ------------- or ------------------- or ------------

2!5! 2!5! 2*5*4*3*2*1 (2)*5*4

This final result simplifies further to ---------------

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What is the answer for number 11

IRINA_888 [86]

No, because you have two y-points that are the same.

6 0

4 years ago

What value of x will make the given triangles congruent?

Molodets [167]

Because you're trying to make them congruent, equal the two expressions to each other.

So, for #10 you would equal them so it would look like this.
2x+2=5x-19

Then you would just go ahead and simplify

2x+2=5x-19
-2x -2x
---------------
2= 3x -19
+19 +19
---------------
21=3x
--- ----
3 3

x=7

This means that x should be 7. You can check this just by plugging it in

2x+2
2(7)+2 = 16

5x-19
5(7)-19= 16

Same with #11.

x+8=3x-14
-x -x
--------------
8=2x-14
+14 +14
--------------
22=2x
--- ----
2 2

x=11

Check.

x+8
11+8= 19

3x-14
3(11) - 14 = 19

6 0

3 years ago

Josh has a aquarium 30 inch deep.it takes him 5 min to fill the bucket with 3 inch of water.he estimates that it will take him u

Burka [1]

Answer:

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

7 0

3 years ago

Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr

PSYCHO15rus [73]

Answer:

$x=\frac{9}{8}\ yards$

$x=1.125\ yards$

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

$x+x+x+x+x+x+x+x=8x$

Then:

$8x=9\ yards$

Now we solve the equation for x

$8x=9\ yards$

Divide both sides of equality by 8

$\frac{8}{8}x=\frac{9}{8}\ yards$

$x=\frac{9}{8}\ yards$

So the length of each piece is $\frac{9}{8}$ of a yard.

This is: 1.125 yards

6 0

4 years ago

The rate of change in sales S is inversely proportional to time t (t > 1), measured in weeks. Find S as a function of t when

Zanzabum

Answer:

Step-by-step explanation:

If the rate of change of sales is inversely proportional to the time t, this is expressed mathematically as ΔS ∝ 1/Δt

ΔS = k/Δt where k is the constant of proportionality

If ΔS = S₂-S₁ and Δt = t₂-t₁

S₂-S₁ = k/ t₂-t₁

If the sales after 2 and 4 weeks are 162 units and 287 units respectively, then when S₁ = 162, t₁ = 2 and when S₂ = 287, t₂ = 4.

On substituting this values into the given functions, we will have;

287 - 162 = k/4-2

125 = k/2

cross multiplying

k = 125* 2

k = 250

Substituting k = 250 into the function ΔS = k/Δt

ΔS = 250/Δt

S = 250/t

<em>Hence the value of S as function of t when the sales after 2 and 4 weeks are 162 units and 287 units, respectively is expressed as S = 250/t</em>

3 0

3 years ago