All categories

3 years ago

Six more than the quotient of a number b and 45 is grater than 4

Mathematics

1 answer:

Wewaii [24]3 years ago

6 0

$(b:45)+6>4\qquad\text{subtract 6 from both sides}\\\\\dfrac{b}{45}>-2\qquad\text{multiply both sides by 45}\\\\\boxed{b>-90}$

You might be interested in

What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti

Marat540 [252]

Answer:

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

Step-by-step explanation:

Given

$x^2 - 5x - 7 = 0$

Required

Solve for x using:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

First, we need to identify a, b and c

The general form of a quadratic equation is:

$ax^2 + bx + c = 0$

So, by comparison with $x^2 - 5x - 7 = 0$

$a = 1$ $b = -5$ $c = -7$

Substitute these values of a, b and c in

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}$

$x = \frac{5 \± \sqrt{25 +28}}{2}$

$x = \frac{5 \± \sqrt{53}}{2}$

Split the expression to two

$x = \frac{5 + \sqrt{53}}{2}$ or $x = \frac{5 - \sqrt{53}}{2}$

To solve further in decimal form, we have

$x = \frac{5 + 7.28}{2}$ or $x = \frac{5 - 7.28}{2}$

$x = \frac{12.28}{2}$ or $x = \frac{-2.28}{2}$

$x = 6.14$ or $x = -1.14$

4 0

3 years ago

0.02 × 0.3055 to 3 decimal places

evablogger [386]

Answer:

000.611

Step-by-step explanation:

0.02×0.3055

=0.00611

So in three decimal places

000.611

5 0

3 years ago

What is the least common denominator for 3/4 and 4/6

lbvjy [14]

Your least common denominator is 12, because
4: 4, 8, 12
6: 6, 12
Found it!

5 0

3 years ago

Read 2 more answers

9. Write the equation of the line in slope-intercept form given the following:

dusya [7]

Answer:

y=1x+1

Step-by-step explanation:

We already know the Y intercept is 1 from the first set of points given

The change in x is 2 and the change in Y is also 2 so when you make the slope equation y/x you get 1

Pluggin in the numbers you get: y=1x+1

8 0

3 years ago

Find y when x=10 if y=8 when x=20

Gelneren [198K]

Answer:

Step-by-step explanation:

10=8

20=y

10*y = 8*20

10y= 160

y=16

3 0

3 years ago