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Rus_ich [418]
4 years ago
5

The sum of 5 consecutive integers is 505.What is the third number in this sequence?​

Mathematics
1 answer:
sweet-ann [11.9K]4 years ago
4 0

Answer:

n (1)

n+1 (2)

n+2 (3)

n+3 (4)

n+4 (5th number)

Step-by-step explanation:

5n + 10 equals 505

505 -10 = 495 (like terms)

5n=495

n = 99

3rd number equals n plus 2

99 plus 2

101

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11 divided by 6 please help
Misha Larkins [42]

Answer:

1.83 (the 3 keeps going so I simplified it)

Step-by-step explanation:

11/6 = 1.8333333333 (keeps going...)

:))

7 0
3 years ago
Mark buys a fresh pair of Walmart shoes that cost $35.99 plus 5.5% tax. How much did he pay?
elena55 [62]

Answer:

$37.97

Step-by-step explanation:

The price of the shoes before tax is 100% of the price of the shoes.

Then the tax adds 5.5% of the price of the shoes to the price of the shoes.

He ends up paying 100% + 5.5% of the price of the shoes.

100% + 5.5% = 105.5%

Now we find 105.5% of $35.99.

105.5% of $35.99 = 1.055 × $35.99 = $37.96945

Answer: $37.97

8 0
3 years ago
Read 2 more answers
True or false: the equation tan^2x+1=sec^2x
zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

{ \tan}^{2} x + 1 = { \sec}^{2} x

We take the LHS and simplify to arrive at the RHS.

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}  + 1

Collect LCM on the right hand side to get;

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}

This implies that

{ \tan}^{2} x + 1 =  \frac{1}{{ \cos}^{2} x} .

{ \tan}^{2} x + 1 =  {( \frac{1}{ \cos(x) }) }^{2}

{ \tan}^{2} x + 1 =  { \sec}^{2} x

This identity has been verified .Therefore the correct answer is true.

3 0
3 years ago
PLEASE NO LINKS OR SITES!!!! JUST ANSWERS. THANK YOU!
kap26 [50]

Answer:2/16

Step-by-step explanation:

8 0
3 years ago
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Use the quadratic function f(x) = 2x2 + 4x +3 to answer the following questions.
GuDViN [60]
The vertex is (-1,1)

Explanation

The vertex formula to find the x coordinate of the formula is -b/2a

So we plug in the values into the formula which is

-4/2(2)

Simplify it

-4/4
=-1
-1 is now the x cord of the vertex.

So now we will plug in the x into the quadratic equation which is 2x^2+4x+3

2(-1)^2 + 4(-1) + 3 = 2 -4 +3

Simplify it

5 - 4= 1

Y=1
So the Coordinates of the vertex is (-1,1)
8 0
4 years ago
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