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3 years ago

Translate the following: One half of a number (use x) is equal to 8 less than the same number.

Mathematics

2 answers:

Andrei [34K]3 years ago

8 0

Answer:

(x/2) = x - 8

I hope it's clear. but feel free to ask questions

Aleksandr [31]3 years ago

7 0

Answer:

x/2=x-8

Step-by-step explanation:

Cross multiply

2x-16=x

2x-x=16

x=16

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Write standard form of line that is parallel to 2x + 3y= 4 and passes through the point (1, -4)

Tresset [83]

Answer:

2x + 3y = -10

Step-by-step explanation:

First convert the line into slope intercept form to find the slope of the line.

2x + 3y = 4

3y = 4 - 2x

y = -2/3x + 4/3

The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.

$y --4 = -\frac{2}{3}(x-1)\\y + 4 = -\frac{2}{3}(x -1)$

Now convert the line into standard form by using the distributive property.

$y + 4 = -\frac{2}{3}(x -1)\\y + 4 = -\frac{2}{3}x + \frac{2}{3}\\3y + 12 = -2x + 2\\2x + 3y + 12 = 2\\2x + 3y = -10$

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4 years ago

A cheese can be classified as either raw dash milk or pasteurized. Suppose that 91% of cheeses are classified as pasteurized.

Marina CMI [18]

Answer:

Step-by-step explanation:

Given that a cheese can be classified as either raw dash milk or pasteurized. Suppose that 91% of cheeses are classified as pasteurized.

Each cheese is independent of the other and there are only two outcomes.

Hence X = no of cheeses pasteurized is binomial (2,0.91)

a) P(x=2 ) when n=2 is $(0.91)^2=0.8281$

b) n=6.

P(x=6) = $(0.91)^6=0.5679$

c) P(atleast one raw dash milk) = 1-P(all pasteurised)

=0.8281

Since probability is 0.83 it is not unusual.

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3 years ago

If a car’s speed is 70 miles per hour on a road surface with a drag factor of 0.50 and with a breaking efficiency of 85% (n = .8

hichkok12 [17]

Answer:

About 384.3 feet

Step-by-step explanation:

The formula for that is given by,

$S= \sqrt{30 \times d \times f \times n}$

Where,

S is the speed of the car

d is the distance of skid

f is the drag factor for the road surface

n is breaking efficiency as percentage

Putting the values we get,

$S^2= 30 \times d \times f \times n$

$d= \frac{S^2}{30 \times f \times n}$

$d = \frac{70^2}{30 \times 0.50 \times 0.85} = 384.3$ feet

So the length of skid marks would be 384.3 feet.

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3 years ago

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Valentin [98]

Answer: B: complementary

Step-by-step explanation: :)

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Answer:

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