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2 years ago

2(4w-1)=-10(w-3)+4 help

Mathematics

2 answers:

solniwko [45]2 years ago

7 0

Answer:

w = 12

Step-by-step explanation:

2(4w-1)=-10(w-3)+4

2*4w + 2*-1 = (10*w + 10*-3) + 4

8w - 2 = 10w - 30 + 4

8w - 2 = 10w - 26

26 - 2 = 10w - 8w

24 = 2w

w = 24/2

w = 12

Check:

2((4*12)-1) = 10(12-3) + 4

2(48-1) = 10(9) + 4

2*47 = 90 + 4 = 94

zalisa [80]2 years ago

7 0

Step-by-step explanation:

$2 \times 4w - 2 \times 1 = 10 \times w - 10 \times 3 + 4 \\ 8w - 2 = 10w - 30 + 4 \\ collect \: like \: terms \\ 8w - 10w = - 30 + 4 + 2 \\ - 2w = - 24 \\ divide \: both \: side \: by \: - 2 \\ - 2w \div - 2 = - 24 \div - 2 \\ w = 12$

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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:

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

HAVE A NICE DAY!

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8 0

3 years ago

Read 2 more answers

How much of the garage foot is white

Ket [755]

All you do is multiply 15 and 6 you get 90. then divide 90 by 9 and you get 10.

4 0

3 years ago

ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: Diagonal is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

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2 years ago

Days/ cost to rent a truck 1/34 2/50 3/66 4/82 A/ C=16d B/ C= 16d + 18 C/ C= 16d + 16 D/ C=18d + 16

Mamont248 [21]

Use the given information as (x, y) points.
You have
(1, 34)
(2, 50)
(3, 66)
(4, 82)
The difference between renting for 1 day and 2 days is 50 - 34 = 16.
The difference between renting for 2 days and 3 days is 66 - 50 = 16
The difference between renting for 3 days and 4 days is 82 - 66 = 16
For each day you rent you pay $16.
Now look at renting for 1 day.
The rental for 1 day is $16, but for 1 day you pay $34.
$34 - $16 = $18
There is an extra $18 in the rental for every day. The $18 is fixed.
That means, to rent a truck, you must pay a fixed amount of $18 plus $16 per day.

total cost = daily cost + fixed cost
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3 years ago

Read 2 more answers

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inessss [21]

D is the answer. Hope this helps!

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3 years ago