The sum of 33 consecutive even numbers is 7878.<br> What is the second number in this sequence?

Anyone know the answer to x^2 - 11x + 18 = 0

Digiron [165]

Answer:

x= 9, x= 2

Step-by-step explanation:

x^2- 2x- 9x+ 18= 0

x (x-2) -9 (x-2)

(x-9) (x-2)

x-9= 0, x-2= 0

Therefore, x= 9, x= 2

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5 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (8,-3) and has an undefined slope?

BARSIC [14]

Answer:

x = 8

Step-by-step explanation:

A line with "undefined" slope is a vertical line, whose equation is of the form ...

x = constant

In order for the line to go through a point with an x-coordinate of 8, the constant must be 8.

x = 8 . . . . . a vertical line through (8, -3)

8 0

2 years ago

Louise's family traveled 3 10 of the distance to her grandmother's house on Saturday. They traveled 4 7 of the remaining distanc

Ludmilka [50]

Answer:

4/10

Step-by-step explanation:

Louise's family traveled 3/10 of the distance to her grandmother's house on Saturday.

Let us represent total distance = 1

The remaining distance left is calculated as:

1 - 3/10

Lowest common denominator = 10

= 10 - 3/10 = 7/10

They traveled 4/7 of the remaining distance on Sunday.

This is calculated as:

= 4/7 × 7/10

= 4/10

What fraction of the total distance to her grandmother's house was traveled on Sunday?

7 0

2 years ago

The events A and B are mutually exclusive. If P(A)=0.1 and P(B)=0.4, what is P(A or B)? ASAP

Gemiola [76]

Answer:

Given that the events A and B are mutually exclusive.

P(A) = 0.1

P(B) = 0.4

Mutually Exclusive Events: When two events are Mutually Exclusive it is impossible for them to happen together i.e

If A and B are two events then; P(A and B) = 0

then;

P(A or B) = P(A) +P(B)

By the definition of mutually exclusive events;

P(A or B) = P(A) +P(B) ......[1]

Substitute the values of P(A) = 0.1 and P(B) = 0.4 in [1] we have;

P(A or B) = P(A) +P(B) = 0.1+0.4 = 0.5

6 0

2 years ago

The school colors are blue and white. Elizabeth had 84 blue balloons and 96 white balloons. How many balloons bouquets can she m

Nat2105 [25]

Answer:

If she wants the same number of each color in each bouquet and use all of her balloons, she can make 12 balloon bouquets.

With 7 blue balloons per bouquet and 8 white balloons per bouquet.

Step-by-step explanation:

The school colors are blue and white. Elizabeth had 84 blue balloons and 96 white balloons.

We solve this using GCF Method

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, If she wants the same number of each color in each bouquet and use all of her balloons, she can make 12 balloon bouquets.

The number of blue balloons in each bouquet =

84/12

= 7 blue balloons per bouquet

The number of white balloons in each bouquet =

96/12

= 8 white balloons per bouquet

7 0

2 years ago

The sum of 33 consecutive even numbers is 7878. What is the second number in this sequence?