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3 years ago

-2(5n + 7) + 8n = 2(1 – 3n)

Mathematics

1 answer:

Delicious77 [7]3 years ago

6 0

N=4
N must be equaled to 4.

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If 4,250 pesos is equivalent to $250, how many pesos is equivalent to $25?

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3 years ago

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Sketch the graph of y = 2 x squared + 7 x using your graphing calculator. What are the x-intercepts of this graph? a. (1, 0) and

Aloiza [94]

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y= 2x²+7x

B is the answer

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3 years ago

The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is

SashulF [63]

Answer:

Step-by-step explanation:

Volume = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4) = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0

4 years ago

Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep

GaryK [48]

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

$\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y$

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

$1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm$

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

3 0

3 years ago