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fomenos
3 years ago
6

Simplify (2n + 5) - (3n + 7) + (4n - 9).

Mathematics
1 answer:
evablogger [386]3 years ago
7 0
(2n + 5) - (3n + 7) + (4n - 9)
(2n - 3n + 4n) + (5 - 7 - 9)
(-n + 4n) + (-2 - 9)
3n - 11
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What is the value of X ?
myrzilka [38]

Answer:

=14

Step-by-step explanation:

In a rhombus, opposite angles are equal.

In the one provided in the question, 5x° is opposite the angle 70°

Let us equate the two.

5x=70

x=70/5

=14°

The value of x in the figure is 14°

4 0
3 years ago
Carly has 15 stuffed animals. How many ways are there to organize her top 3 favorites?
Ivanshal [37]
Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
\frac{n!}{(n-r)!}
Where n is the number of items you have, and r is the number of times you choose from the items.
\frac{15!}{(15-3)!}
Which simplifies to
\frac{15!}{(12)!}
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.

Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
\frac{n!}{r!(n-r)!}
The  variables are still the same, but you are now multiplying by r!.
\frac{15!}{3!(15-3)!}
Simplifies to
\frac{15!}{3!(12)!}
Which simplifies to (using the same cancellation method above)
\frac{2730}{3!}
Dividing 2730 by 3! will get us an answer of 455.

Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.

:)
4 0
3 years ago
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and
Lunna [17]

Answer:

C=27inch\ by\ 27inch

Step-by-step explanation:

Squares h=4inch

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Generally the equation for Volume of box is mathematically given by

 V=l^2h

 1444=l^2*4

 l^2=361

 l=19in

Since

Length of cardboard is

 l_c=19+4+4

 l_c=27in

Therefore

Dimensions of the piece of cardboard is

C=27inch\ by\ 27inch

7 0
2 years ago
-8 + (-2)<br> Plz answer
skelet666 [1.2K]

Answer:

-10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How do you write 0.74 as a fraction in simplest form?
Oksana_A [137]
0.74=74/100=37/50 in simplest form.
3 0
3 years ago
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