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Scorpion4ik [409]
3 years ago
13

Three consecutive even integers add to −6. What are these integers?

Mathematics
2 answers:
notka56 [123]3 years ago
6 0
----------------------------------------------------
Define the numbers
----------------------------------------------------
Let the first even number be x
1st even number = x
2nd even number = x + 2
3rd even number = x + 4

----------------------------------------------------
Form the equation and solve
----------------------------------------------------
 x + x + 2 + x + 4 = -6
3x + 6 = -6
3x = - 12
x = -4

----------------------------------------------------
Find the numbers
----------------------------------------------------
1st even number = x = -4
2nd even number = x + 2 = -4 + 2 = -2
3rd even number = x + 4 = -4 + 4 = 0

----------------------------------------------------
Answers: The numbers are -4, -2 and 0
----------------------------------------------------
nadezda [96]3 years ago
6 0

Answer:

-4, -2, 0

Step-by-step explanation:

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Suppose Marcy's rectangular laptop measures 12 inches by 9 inches. Find the diagonal measurement from corner A to corner B.
astraxan [27]

Answer:

the diagonal measurement from corner A to corner B=15 inches

Step-by-step explanation:

as we know that the loptop has the shape of a rectangle that means all it's angles are right angles. so we can use the pythogoras theorem to find out the diagonal of the rectangle.

let us denote the diagonal of rectangle by D and the sides of rectangle be denoted by X=12 and Y=9

so by using pythogoras theorem we have,

D^{2} =X^{2} +Y^{2}

D^{2}=225

D=15

Hence the diagonal measurement from corner A to corner B is 15 inches.

7 0
3 years ago
Read 2 more answers
Edna decided to purchase a $15,000 MSRP vehicle at a 5% interest rate for 3 years. The dealership offered her a $1500 cash-back
Ad libitum [116K]
P = A/D, Where P = Monthly payments, A = Total amount owed = 15,000-1,500 = $13,500,

D= \frac{( 1+ \frac{r}{12} )^{nt} -1}{ \frac{r}{12} (1+  \frac{r}{12}) ^{nt} }

r = 5% = 0.05, nt = 12*3 = 36

Therefore,
D = \frac{(1+ 0.05/12)^{36}-1 }{(0.05/12)(1+0.05/12)^{36} } = 33.37

Then,

P = 13,500/44.37 = $404.61
The correct answer is c.
5 0
3 years ago
Please help don’t understand
JulijaS [17]
The angles opposite equal sides are also equal. The sum of angles in a triangle is 180. So 2x + 27 + 2x + 27 + 3x + 28 = 180.

7x + 82 = 180
7x = 98
x = 14

Now plug x into each angle to find their measures.
6 0
3 years ago
A person has 22 coins, all nickels and dimes, worth one dollar and 50 cents. How many nickels are there?
kirill [66]

I think your answer is 8 or option A

7 0
3 years ago
Justify solution<br>-1/2(5x-8)=7<br>5x-8=-14<br>5x=-6<br>x=-6/5​
Leona [35]

Answer:

solution is -6/5 because:

-1/2(5x-8)=7

-5x+8/2=7

-5x+8=7*2

-5x+8=14

-5x=14-8

-5x=6

x=-6/5

5 0
3 years ago
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