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3 years ago

Three consecutive even numbers have a sum where one half of the sum is between 84 and 96

Mathematics

1 answer:

mamaluj [8]3 years ago

6 0

86 *2 = 172

172/3 = 57.33

54 + 56 +58 =168

168/2 =84

56 + 58 +60 = 174

174/2 =87

58 +60 +62 = 180

180/2 = 90

60 +62 +64 = 186

186/2 = 93

62 +64+66 = 192

192/2 = 96

there are 3 sets of numbers that fall between 84 & 96

1 set equals 84 and 1 set equals 96

so if you are counting those there are 5 sets

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The metro theater has 20 rows of seats with 18 Seats in each row. The theaters income in dollars if all seats are sold is (20x18

quester [9]

It would be $1,800
You would use the distributive property to do 18x5 and then 20x5 and then add those to get 1,800

4 0

3 years ago

Consider this exponential equation:

ioda

Step-by-step explanation:

F( x ) = 5 (3) ^ x

Y intercept

Let x = 0

f(0) = 5× 3 ^ 0

f(0 = 5 × 1

f(0) = 5

X intercept

let y = o

0 = 5 × 3 ^x

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Vertical intercept (0; 5)

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▪︎this refer to the values of X

4 0

3 years ago

Consider the equation 5x^2-10x+c=0. What values of c result in the equation having a complex solutions? Represent your answer on

stiv31 [10]

Answer:

When we have a quadratic equation:

a*x^2 + b*x + c = 0

There is something called the determinant, and this is:

D = b^2 - 4*a*c

If D < 0, then the we will have complex solutions.

In our case, we have

5*x^2 - 10*x + c = 0

Then the determinant is:

D = (-10)^2 - 4*5*c = 100 - 4*5*c

And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:

D = 0 = 100 - 4*5*c

4*5*c = 100

20*c = 100

c = 100/20 = 5

As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.

This means that c must be larger than 5 if we want to have complex solutions,

c > 5.

I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:

8 0

3 years ago

2) 45+ 17 = 62 3) X + 5/6 = 7/16 4) Y + 1/7 = 5/8

Montano1993 [528]

9514 1404 393

Answer:

2) true

3) X = -19/48

4) Y = 27/56

Step-by-step explanation:

3) Subtract 5/6 from both sides

X = 7/16 -5/6 = (7·6 -16·5)/(16·6) = (42 -80)/96

X = -19/48

4) Subtract 1/7 from both sides

Y = 5/8 -1/7 = (5·7 -8·1)/(8·7)

Y = 27/56

6 0

3 years ago

Which of the following is located over the center of the base of a regular pyramid

kenny6666 [7]

Vertex is located over the center of the base of a regular pyramid.

<h3>What is Vertex Angle?</h3>

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here, Vertex is the point which is located over the center of the base of a regular pyramid.

Learn more about Vertex angle from:

brainly.com/question/2028172

#SPJ1

5 0

2 years ago