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3 years ago

What is the solution to the equation 3/8x + 1 = 9/4

Mathematics

1 answer:

STALIN [3.7K]3 years ago

5 0

3/8x+1=9/4
3/8x=9/4 -1
3/8x=1.25
0.375x=1.25
x=3.333

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Scorpion4ik [409]

Answer:

Step-by-step explanation:

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-16 (x + 2)

Meaning B would be the correct answer

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A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa

Gnesinka [82]

Answer:

The value of x would be $\frac{5}{3}$

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

$V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3$

Differentiating with respect to x,

$V'=100 - 80x + 12x^2$

Again differentiating with respect to x,

$V''=-80 + 24x$

For maxima or minima,

$V'=0$

$\implies 100 - 80x + 12x^2 = 0$

$\implies 3x^2 - 20x + 25=0$

By quadratic formula,

$x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}$

$x=\frac{20\pm \sqrt{400 - 300}}{6}$

$x=\frac{20\pm \sqrt{100}}{6}$

$x=\frac{20\pm 10}{6}$

$\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5$

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

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3 years ago

Example: Find the circumference of the circle with a radius of 5 inches. Solution: Step 1: Write down the formula: IC = 2tr Step

GREYUIT [131]

Answer:

1. The circumference of any circle equals two times its radius multiplied by pi (π, approximately 3.14). We can also say it equals pi times its diameter.

Thank you

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3 years ago

Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are b

umka21 [38]

Answer:

25%

Step-by-step explanation:

Since there are 24 apples, and 6 are bad, to find the percentage of the bad apples, you do bad apples/total apples

6/24=.25

0.25 is 25%

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3 years ago