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3 years ago

How do I solve 4x-2(x-5) = -7+5x+2

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:

x=5

Step-by-step explanation:

1) Group like terms which will then make the equation 4x-2(x-5)=5x-5

2) Expand the equation (multiply) which will make it 4x-2x+10=5x-5

3) Add similar elements; 2x+10=5x-5

4) Subtract 10 from both sides; 2x=5x-15

5) Subtract 5x from both sides; -3x=-15

6) Divide by 3; x=5

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Identify the underlined place in 83.5851. Then round the number to that place. The 8 to the right is underlined.

Marina86 [1]

We have to round the number 83.5851 to the nearest hundredth.
If the next smallest place is greater than or equal to 5 we increase the value of the digit we are rounding to by one.
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Answer: 83.59

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3 years ago

Read 2 more answers

walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p

laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

$Y(x) = (20+x)(60-2x)$

Differentiating with respect to t ( time ),

$Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x$

Again differentiating with respect to t,

$Y''(x) = -4$

For maxima or minima,

$Y'(x) = 0$

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

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3 years ago

How do you divide 986 divided by 26 in partial quotients

zzz [600]

The answer would be 37 r. 9

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3 years ago

Suppose you are putting up a tent for a camping trip.

SSSSS [86.1K]

The length of the rope needed is 15 feet

Given the following parameters;

Height of the pole = 9 foot

The distance from the <u>rope away from the base </u>of the pole is 12 feet

Required

Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: brainly.com/question/231802

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2 years ago

Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative

slavikrds [6]

Answer:

Part B shaded below first line and above second line.

Step-by-step explanation:

The first inequality corresponds to the second line (-3 = -4+1, for example) The ≥ symbol in that inequality tells you it will be satisfied by y values above those on the line.

The second inequality corresponds to the first line (-4+3 = -1, for example) The ≤ symbol in that inequality tells you it will be satisfied by y values below those on the line.

Hence the solution set is those values shaded below the first line and above the second line — matching Part B.

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3 years ago

How do I solve 4x-2(x-5) = -7+5x+2​

How do I solve 4x-2(x-5) = -7+5x+2