All categories

2 years ago

What is the answer to this inequality -45 <-9k

Mathematics

1 answer:

DIA [1.3K]2 years ago

5 0

Answer: 5 > k

Step-by-step explanation: When you're asked to solve an inequality like -45 < -9k, your goal should be the same as it was when solving equations which is to get k by itself on one side.

In this problem since k is being multiplied by -9 on the right side of the inequality, to get k by itself, we divide both sides by -9 but here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this less than in our original problem becomes greater than in our second step. I would recommend switching it as soon as possible so you don't forget.

Let's rewrite our original inequality.

-45 < -9k

On the right side, the -9's cancel and we're left with k and on the right side, -45 divided -9 is -5. So we have 5 > k.

You might be interested in

A building society offers a rate of 11% per annum simple interest. Beth-Ann deposit 24000 in the society for 15 months. Calculat

Nostrana [21]

Answer:

The amount of money due to Beth-Ann at the end of this period is $27, 300.

Step-by-step explanation:

The amount at the end of a period, when simple interest is being charged is:

Amount (A) = Principal (P) + Interest (I)

Here interest is computed using the formula:

$I=P\times R\times T$

It is provided that:

P = 24,000

R = 11%

T = 15 months = 1.25 years

Compute the Interest as follows:

$I=P\times R\times T$

$=24000\times 0.11\times 1.25\\=3300$

The interest earned is, I = $3,300.

Compute the amount of money due to Beth-Ann at the end of this period as follows:

$A=P+I$

$=24000+3300\\=27300$

Thus, the amount of money due to Beth-Ann at the end of this period is $27, 300.

7 0

2 years ago

How many times is the volume of the large sphere than the small sphere? 2 4 6 8

Hoochie [10]

Answer:

8 times larger

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

7 0

2 years ago

Read 2 more answers

PLEASE ANSWER!!! You are helping wish some repairs at home. you drop a hammer and it hits the floor at a speed of 12 feet per se

Andru [333]

Answer:

h = 2.25 m

Step-by-step explanation:

Given:

Speed = v = 12 ft/sec

Acceleration due to gravity = g = 32 ft/sec²

Required:

Height = h = ?

Formula:

v = $\sqrt{2gh}$

Solution:

For h, the formula will be:

=> h = $\frac{v^2}{2g}$

=> h = $\frac{(12)^2}{2(32)}$

=> h = $\frac{144}{64}$

=> h = 2.25 m

8 0

2 years ago

PLESE HELP 100 POINTS WILL MARK BRAINLIEST

MArishka [77]

Answer:

(3x3−6x2+7x−11)+(10x2−9x+4) = 10-2x

5x−15 = 5(x-3)

13x3−15x+7x−7 = 32-8x

3x3+4x2−2x−7 = 10-2x

3x3+4x4−2x2−7 = 14

(12x2−7x+8)−(4x2−5x+10) = 14-2x

16x2−12x+18 = 50-12x

Step-by-step explanation:

I'm in need of Science help myself if you can help that would be wonderful!

6 0

2 years ago

Read 2 more answers

What is 2/10 divided by 2/4

shtirl [24]

Given:

$\dfrac{2}{10}$ divded by $\dfrac{2}{4}$ .

To find:

The solution for the given division problem.

Solution:

We have, $\dfrac{2}{10}$ divded by $\dfrac{2}{4}$ . It can be written as

$\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{10}\times \dfrac{4}{2}$

$\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2\times 4}{10\times 2}$

$\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{8}{20}$

$\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{5}$

Therefore, the solution for the given division problem is $\dfrac{2}{5}$ .

3 0

2 years ago