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3 years ago

Solve this equation. Enter your answer in the box -24 + 120 = 2(d-3) + 22 d =

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer: 4.25

Step-by-step explanation:

2(d-3) + 22d= 120-24

2d - 6 + 22d= 96

2d +22d= 96+6

24d= 102

d= 102/24

d= 4.25

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Solve the following equation for x.show each step. 5x+2=3x+4(2x-1)

GuDViN [60]

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

First take the ( ) 4*2xand 4*-1

Then simplify and add all like terms

then subtract/add(opposite of what it is) whichever x term from both sides

then subtract/add the numbers on the side you chose to the other side to get something as the following

x=#

then divide x by the #

5 0

3 years ago

What is the slope ( 6, 5 ) and ( -6,9 )

Ronch [10]

Answer:

$\large\boxed{slope=-\dfrac{1}{3}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

(x₁, y₁), (x₂, y₂) - points on a line

We have the points

(6, 5) → x₁ = 6, y₁ = 5

(-6, 9) → x₂ = -6, y₂ = 9

Substitute:

$m=\dfrac{9-5}{-6-6}=\dfrac{4}{-12}=-\dfrac{4:4}{12:4}=-\dfrac{1}{3}$

7 0

3 years ago

Read 2 more answers

A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

$nCr = \frac{n!}{(n-r)!r!}$

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

$7C2 * 9C2$

$7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36$