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3 years ago

Solve −2(2x + 5) − 3 = −3(x − 1)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

8 0

Answer:

x = -16

Step-by-step explanation:

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

-4x - 10 - 3 = -3x + 3

-4x - 13 = -3x + 3

-x = 16

x = -16 <--- This is the answer

Hope this helps!

svlad2 [7]3 years ago

5 0

Answer:

x= -16

Step-by-step explanation:

distribute -2

-2 * 2x =-4x

-2 * 5 = -10

-4x - 10 -3 = -3 (x-1)

distribute -3

-3 * x = -3x

-3 * -1 = 3

-4x - 10 -3 = -3x + 3

combine like terms

-4x -13 = -3x + 3

-4x + 3x = -x

3 + 13 = 16

-x = 16

divide by -1

x = -16

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Strawberries are $2.50 A pound and cantaloupes are $2.25 at the local supermarket. Sally bought 7 pounds of the two kinds of fru

Vlad1618 [11]

Answer:

Sally bought 4 pounds of Strawberries and 3 pounds of Cantaloupes.

Step-by-step explanation:

Let the number of pounds of Strawberries bought by Sally = x

Let the number of pounds of Cantaloupes bought by Sally = y

$x + y = 7$ ---------------------------------(1)

Moreover,

$2.5 x + 2.25 y = 16.75$ ---------------(2)

Solving (1) and (2) by substitution:

$x = 7 - y$

=> $2.5 *(7-y) + 2.25 y = 16.75$

=> $17.5 - 2.5y + 2.25 y = 16.75$

=> $0.25y = 0.75$

=> $y = 3$

From (1), x = 7-3 = 4

7 0

3 years ago

The question is the picture thanks for helping

Vedmedyk [2.9K]

Answer:

Answer is option b)

Answer is given below with explanations.

Step-by-step explanation:

$a \: walking \: path \: is \: represented \: by \: \\ y = - 4x - 6 \\ 4x + y + 6 = 0 \\ given \: that \\ a \: new \: path \: will \: be \: built \: perpendicular \\ \: to \: \: the \: walking \: path \\ the \: equation \: of \: the \: line \: perpendicular \: to \\ 4x + y + 6 = 0 \: is \\ x - 4y + k = 0 \\ since \: it \: passes \: through \: ( - 4,10) \\ substitute \: x \: = - 4\: and \: y = 10 \: in \: required \: equation \\ - 4 - 4(10) + k = 0 \\ k = 44 \\ then \: the \: equation \: is \\ x - 4y + 44 = 0 \\ adding \: 4y \: on \: both \: sides \\ x + 44 = 4y \\ dividing \: by \: 4 \: on \: both \: sides \\ y = \frac{x}{4} + 11 \\ y = \frac{1}{4} x + 11 \\ so \: the \: answer \: is \: option \: b) \: \frac{1}{4} x + 11$