Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

Complete Question

Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

Inequality: 70 + 0.05x < 80

Solution: x < 200

Step-by-step explanation:

Let x represents the minimum number of SMS.

If 1 SMS is charged at $0.05, then x SMS would be charged at $0.05x

Considering that she pays a flat rate of $70.

The inequality to represent the minimum number of SMS she needs to send is:

70 + 0.05x < 80

To solve this inequality, follow the following steps

Collect like terms

0.05x < 80  - 70

0.05x < 10

Divide through by 0.05

0.05x/0.05 < 10/0.05

x < 10/0.05

x < 200

The solution to the inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00 is x < 200.

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°