All categories

3 years ago

Solve the inequality 42 > x-18

Mathematics

1 answer:

faltersainse [42]3 years ago

8 0

Answer:

x < 60

Step-by-step explanation:

42 > x-18 (add 18 to both sides)

42 + 18 > x

60 > x

x < 60

You might be interested in

YALL HELP I HAVE A EXAM

vekshin1

Answer:

haha lo we arent helping you cheat

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A bus travelled from location A to location B in 90 minutes. Calculate the speed of the bus in km/h

DaniilM [7]

Speed is distance over time. There’s no distance in the question and the time is 1 hr 30 mins hence 1.5 hours.

6 0

3 years ago

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

A ticket printer made 450 tickets in 9 minutes. Another ticket printer made tickets for 5 minutes at twice the rate of the first

OlgaM077 [116]

Answer:

500

Step-by-step explanation:

Rate at which first ticket printer works is 450/9 = 50 tickets per minute

Speed of second ticket printer is twice than that of the first.

So, speed of second printer is 100 tickets per minute.

In 5 minutes,second printer made 500 tickets

8 0

2 years ago

Jack is at the zoo looking up at a monkey

sasho [114]

The height of the pole at which the monkey is at the top is 10.2 feet.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.

Let h represent the height of the pole, hence using trigonometric ratio:

tan(23) = h/24

h = 10.2 feet

The height of the pole at which the monkey is at the top is 10.2 feet.

Find out more on Trigonometric ratio at: brainly.com/question/4326804

4 0

2 years ago