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4 years ago

If a/4 = b/7, what is the value of a-b/b ?

1 answer:

3 0

Consider this option:
1. to simplify given expression (a-b)/b:
$\frac{a-b}{b}= \frac{a}{b}-1;$
2. to rewrite given expression a/4=b/7:
$\frac{a}{b} = \frac{4}{7};$
3. to substitute a/b into the simplified expression:
$\frac{a}{b} -1= \frac{4}{7} -1=- \frac{3}{7};$

answer: -3/7

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Find an equation of the line passing through the point ( - 12,

kotegsom [21]

Just ignore that bot. The actual answer would be y = 1/4X - 2!

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3 years ago

A circle with a 2-inch radius is translated a distance of 12 inches perpendicular to the plane it is in. If copies of the circle

BartSMP [9]

Answer:

See below

Step-by-step explanation:

This will create a cylinder volume = 1/2 pi r^2 h = 1/2 pi 4 * 12

= 24 pi = 75.398 in^3

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2 years ago

There is a bag filled with 4 blue, 3 red and 5 green marbles.

bearhunter [10]

Answer:

1/11

Step-by-step explanation

There are 12 marbles in the bag. When we first pick we have 4 blue marbles. So 4 blue marbles/12 random marbles. When we pick blue and noted, there are 3 marbles in the bag because of we didn't put it back. So when we choose again there are 11 marbles and 3 blue marbles in the bag. Choosing a blue one case is 3/11.

The last part of this case is happening as a chain. So we need to multiply our two answers.

=4/12*3/11

=1/3*3/11

=1/11

7 0

3 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

6 0

3 years ago

Read 2 more answers

(x – 2) = –14(x – 8)

muminat

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = 38/5

Decimal Form:

x = 7.6

Mixed Number Form:

x = 7/3/5

7 0

3 years ago