All categories

3 years ago

Which inequality is true for x = 20?

Mathematics

2 answers:

serg [7]3 years ago

7 0

Answer:

Step-by-step explanation:

The options are :

A. x + 30 < 3x

B. x - 5 < 2x - 35

C. x divided by 4 < x - 12

D. 2x < x + 22

Option (A) :

x + 30 < 3x

Put x = 20 on both sides

LHS = 20 + 30 = 50

RHS = 3(20) = 60

50<60

The option is correct.

Option (B) :

x - 5 < 2x - 35

Put x = 20 on both sides

LHS = x-5 = 20-5 = 15

RHS = 2x - 35 = 2(20) -35 = 5

15<5

The option is incorrect.

Option (C) :

x/4 < x - 12

Put x = 20 on both sides

LHS = 20/4 = 5

RHS = x - 12 = 20-12 = 8

5<8 (correct)

Option (D) :

2x < x + 22

Put x = 20 on both sides

LHS = 2x = 2(20) = 40

RHS = x+22 = 20 + 22 = 44

40<44

It is true. The option is correct.

Hence, option A, B and D are correct.

Natali [406]3 years ago

6 0

Answer:the last one

Step-by-step explanation:

You might be interested in

The baseball coach bought 8 new baseballs for $3 each. The basketball coach bought 6 new basketballs for $11 each. How much more

tia_tia [17]

Answer:

$42 more.

Step-by-step explanation:

Baseball: 8(3) = $24

Basketball: 6(11) = $66

66 - 24 = $42

8 0

3 years ago

Find the four rational numbers and irrational numbers between 2/5 and 5/6

Savatey [412]

The four?

Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.

The average will be between the numbers:

$\frac 1 2 (\frac 2 5 + \frac 5 6) = \dfrac{37}{60}$

That's a lot of work to get a number in between. We can just see

$\frac 1 2$
is between the two numbers.

The mediant, or freshman addition, will always be in between:

$\dfrac{2 + 5}{5 + 6} = \dfrac{7}{11}$

2/5=.4 and 5/6 is about .83, so

$.6 = \frac{6}{10}$

is in between as is .7, .41, .530940394 and as many rationals as we care to generate.

To get irrationals we could just add a teeny irrational to the ones we just generated, like $\frac{6}{10} + \frac{\pi}{100}$

We could just change that denominator a bit and get as many as we like.

But let's get some square roots. The geometric mean will be between

$\sqrt{ \dfrac 2 5 \cdot \dfrac 5 6 } = \dfrac{1}{\sqrt{3}}
$

That's the tangent from one of trig's biggest cliches, but I digress. It's in between.

While we're on trig cliches,

$\dfrac{1}{\sqrt{2}}$

is in between as well.

Keeping with the trig theme, also in between are

$\dfrac{\pi} 6$

and

$\dfrac{\pi}{4}$

the angles associated with the some of the above trig function values.

We could obviously go on as long as we cared to.

7 0

3 years ago

Answer in standard form PLEASE.

matrenka [14]

0.9 x 10^4

Let’s break this down into steps.

So to start off with, you need to do 4.5/5 which = 0.9.

Now we can deal with the indices. 10^-3 / 10^-7 means we have to subtract them. Therefore, -3 - -7 = 4. Altogether, we have 0.9 x 10^4

The question states we should leave our answer in standard form.

So our answer is 0.9 x 10^4.

8 0

2 years ago

Miguel is a cartoonist. Miguel drew 2 cartoon cells in 3 hours. If he keeps drawing at the same rate, about how many cells will

Sonja [21]

In three hours Miguel drew 2 cartoon cells . And since he keeps drawing at the same rate, therefore,

in one hour Miguel drew (2/3) cartoon cells .

Hence in 9 hours, Miguel drew (2/3)* 9 = 18/3=6 cartoon cells .

So the answer of the given question is 6 cartoon cells .

4 0

3 years ago

Read 2 more answers

What is 40% of 360°? Pls help