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3 years ago

2(x-3) +9=3(x+1) + x

Mathematics

1 answer:

Licemer1 [7]3 years ago

5 0

Answer:

x = 0

Step-by-step explanation:

2(x - 3) + 9 = 3(x + 1) + x

2x - 6 + 9 = 3x + 3 + x

2x + 3 = 4x + 3

2x - 4x = 3 - 3

-2x = 0

2x = 0

x = 0/2

x = 0

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write an equation of the line perpendicular to the given line that contains P in point slope form? P (4,-4) y=1/3x+4

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Answer: $y+4=-3(x-4)$

Step-by-step explanation:

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$y-y_1=m(x-x_1)$

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- The equation of the line $y=\frac{1}{3}x+4$ is written is slope-intercept form, where the slope is $\frac{1}{3}$ .

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3 years ago

Anthony has been saving nickels (N), dimes (D), and quarters (Q) over the last year. He knows that he has twice as many nickels

Mila [183]

Answer:

75 number of quarters

150 number of nickels

35 number of dimes

Step-by-step explanation:

Let x, y and z be the amount of quarters, nickel and dimes respectively.

he learns that he has 260 coins, thus;

x + y + z = 260 - - - (1)

Now, we are told that he has twice as many nickels as quarters.

Thus, number of nickels = 2x

y = 2x - - - (2)

From online research, we have the following cost;

1 quarter = $0.25

1 nickel = $0.05

1 dime = $0.1

Total cost is $29.75. Therefore;

0.25x + 0.05y + 0.1z = 29.75 - - - (3)

Put 2x for y in eq (1) and eq (3) to get;

x + 2x + z = 260

3x + z = 260 - - - (eq 4)

0.25x + 0.05(2x) + 0.1z = 29.75

0.25x + 0.10x + 0.1z = 29.75

0.35x + 0.1z = 29.75 - - - (eq 5)

From eq(4), z = 260 - 3x

Thus;

0.35x + 0.1(260 - 3x) = 29.75

0.35x + 26 - 0.3x = 29.75

0.05x = 29.75 - 26

0.05x = 3.75

x = 3.75/0.05

x = 75

So, z = 260 - 3(75)

z = 260 - 225

z = 35

Since y = 2x,

Then,y = 2(75) = 150

Thus,we have;

75 number of quarters

150 number of nickels

35 number of dimes

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2 years ago