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4 years ago

30= -5(6n+6) i need help

Mathematics

1 answer:

padilas [110]4 years ago

4 0

Answer:

n = -2

Step-by-step explanation:

-5(6n+6) = 30

-30n-30 = 30

-30n = 30+30

-30n = 60

-n = 60/30

-n = 2

n = -2

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Three hot dogs and two hamburgers cost $8.00 two hot dogs and three hamburgers cost $8.25. How much does one hot dog cost?

navik [9.2K]

The cost of 1 hot dog is $ 1.5

Solution:

Let "x" be the cost of 1 hot dog

Let "y" be the cost of 1 hamburger

From given,

Three hot dogs and two hamburgers cost $8.00

3x + 2y = 8 ------- eqn 1

two hot dogs and three hamburgers cost $8.25

2x + 3y = 8.25 ------- eqn 2

Solve eqn 1 and eqn 2

Multiply eqn 1 by 2

6x + 4y = 16 ------ eqn 3

Multiply eqn 2 by -3

-6x - 9y = - 24.75 ------- eqn 4

Add eqn 3 and eqn 4

6x + 4y = 16

-6x - 9y = - 24.75

( +) -----------------

-5y = -8.75

5y = 8.75

y = 1.75

Substitute y = 1.75 in eqn 1

3x + 2(1.75) = 8

3x = 8 - 3.5

3x = 4.5

x = 1.5

Thus cost of 1 hot dog is $ 1.5

8 0

3 years ago

Please helppp I just neeed an equation I will give brainlist

Gwar [14]

Answer:

x = 2y

Step-by-step explanation:

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6 0

3 years ago

-2x+4y= 12 3x+7y= 18 last one greatly appreciated

LenaWriter [7]

Value of x is $\frac{-6}{13}\\$ and y is $\frac{36}{13}$

Solution set is ( $\frac{-6}{13}\\$ , $\frac{36}{13}$ )

Step-by-step explanation:

We need to solve the system of equations given.

$-2x+4y=12\\3x+7y= 18$

Solving

Let:

$-2x+4y=12\,\,eq(1)\\3x+7y=18\,\,eq(2)$

Multiply eq(1) by 3 and eq(2) by 2 and add both

$-6x+12y=36\\6x+14y=36\\-------\\26y=72\\y=\frac{72}{26}\\y=\frac{36}{13}$

Putting value of y in equation 1

$-2x+4y=12\\-2x+4(\frac{36}{13})=12\\-2x+\frac{144}{13}=12\\-2x=12-\frac{144}{13}\\-2x=\frac{12*13-144}{13}\\-2x=\frac{12}{13}\\x=\frac{-6}{13}\\$

So, value of x is $\frac{-6}{13}\\$ and y is $\frac{36}{13}$

Solution set is ( $\frac{-6}{13}\\$ , $\frac{36}{13}$ )

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

7 0

4 years ago

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n200080 [17]

Answer:

Step-by-step explanation:

1.you count the lines between the two points

8 0

4 years ago

Read 2 more answers

Which of the following is a solution of y + x < -5?

Setler79 [48]

Answer:

FIRST OPTION: (-4, -2)

Step-by-step explanation:

Given the inequality $y + x < -5$ , substitute each solution given in the options:

1) For (-4, -2) :

$(-2)+ (-4) < -5$

$-6 < -5$ (This is true)

2) For (-3, -2):

$(-2)+ (-3) < -5$

$-5 < -5$ (This is not true)

3) For (-2, -3):

$(-3)+ (-2) < -5$

$-5 < -5$ (This is not true)

4) For (-1, -3):

$(-3)+ (-1) < -5$

$-4 < -5$ (This is not true)

You can observe that (-4, -2) is a solution of $y + x < -5$

5 0

3 years ago

Read 2 more answers