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WARRIOR [948]
3 years ago
12

((16 - (4/2))^2) × 3 =

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

Answer:

588

Step-by-step explanation:

((16 - (4/2))^2) × 3      Simplify the inner parentheses

((16 - 2)^2) x 3     Solve inner parentheses again

((14)^2) x 3        Solve exponents

196 x 3      Multiply

588

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Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
No powers in this problem statement.  Perhaps you meant a_2 or a(2)


In this problem you have four numbers.  All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers.  Here this mean is 15.  The mean is most likely positioned between b anc c.


So here's what we have:  a+b+c+d
                                         ------------- = 15
                                                 4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60.    Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18.  Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.


</span>
8 0
3 years ago
A. -7x+5<br> B. -7x-35<br> C. -7x+35<br> D. x-35
liubo4ka [24]

Answer:

B

Step-by-step explanation:

p(x) = r(x) * s(x)

     = (x + 5) *(-7)       {Use distributive property}

    = x * -7 + 5 * -7

    = - 7x - 35

5 0
3 years ago
Read 2 more answers
Clara created a coordinate grid of her city. The bowling alley is located at (10, 12) and the skating rink is located at (-6, -4
yulyashka [42]

First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:

\begin{gathered} P(BA,SR)=(\frac{10-6}{2},\frac{12-4}{2})\text{ = (}\frac{4}{2},\frac{8}{2}) \\ \Rightarrow P(BA,SR)=(2,4) \end{gathered}

We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:

\begin{gathered} P(MT,SR)=(\frac{-6+2}{2},\frac{4-4}{2})=(-\frac{4}{2},0) \\ \Rightarrow P(MT,SR)=(-2,0) \end{gathered}

Therefore, Clara's house is located at (-2,0)

6 0
1 year ago
In a pen with rabbits and chickens someone counted 25 heads and 80 legs a rabbit has four legs and each chicken has 2 legs, how
Komok [63]
I just kind of sat here playing with numbers i dont really know a shortcut but the answer is 10 chickens and 15 rabbits 
10*2= 20 each chicken has two legs so thats 10 heads 20 legs
15*4=60 each rabbit has four legs so thats 15 heads 60 legs
15+10=25 heads
20+60=60 legs
6 0
2 years ago
Read 2 more answers
Which of the following coordinates exists on the line y = 2x - 4?
Artyom0805 [142]
The coordinate is (1,-2)
3 0
3 years ago
Read 2 more answers
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