All categories

3 years ago

Solve the inequality for x. 75+15x is greater than or equal to 140

Mathematics

1 answer:

Gre4nikov [31]3 years ago

8 0

75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

The final answer is x ≥ 4 1/3~

You might be interested in

kelly has $50 in her checking account. she wrote a check for $75.00 which means that she’s overdrawn by $25. if she deposits $13

Zarrin [17]

Answer:

$120.50

Step-by-step explanation:

50 - 75 = -25

135.50 - 25 = 120.50

3 0

3 years ago

If 3x is one factor of 3x^2-9x, what is the other factor?

Rudik [331]

The answer is: " (x² − 3) " .
_________________________________
Explanation:
_________________________________

Given: 3x² − 9x ; factor out a "3x" ;
_________________________________

→ 3x (x² − 3) ;
_________________________________
The answer is: " (x² − 3) " .
_________________________________

7 0

3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

2 years ago

Read 2 more answers

What is the slope between the points 5,-1 and -2,-3?

pishuonlain [190]

To find slope, use the equation (y2-y1)/(x2-x1). In your case, the equation is going to look like (-3 - -1)/(5 - -2) or (-3 +1)/(5 + 2), and that simplifies to -2/7.

8 0

4 years ago

N = 3: – 3 and 4 + 2 i are zeros: f(- 1) = 58

Nimfa-mama [501]

Answer:

de eitcukqrncjakgkciwitjfuqjrjcjwjtjfkwjtkckskrkchakrjfnrjcjdnsnfncdn

5 0

3 years ago