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3 years ago

7 more than 6 times a number is negative forty seven what us the number

Mathematics

1 answer:

romanna [79]3 years ago

3 0

Answer:

The number is -9.

Step-by-step explanation:

If we let the number be x we have the equation 6x + 7 = -47.

6x + 7 - 7 = -47 - 7

6x = -54

x = 054/6

x = -9.

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There are 412 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 49 fans?

Sedbober [7]

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Step-by-step explanation:

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3 years ago

Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

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A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

8 0

3 years ago

A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o

lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)

y ----> the rate of the boat in still water (miles per hour)

we have that

going upstream

$y-x=\frac{150}{5}$

$y-x=30$ ----> equation A

going downstream

$y+x=\frac{150}{3}$

$y+x=50$ ----> equation B

Solve the system of equations by elimination

Adds equation A and equation B

$y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40$

Find the value of x

$y+x=50$

$40+x=50$

$x=10$

therefore

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

8 0

3 years ago

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OleMash [197]

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Step-by-step explanation:

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3 years ago

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