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bazaltina [42]
3 years ago
5

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

Mathematics
1 answer:
DIA [1.3K]3 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 <em>k</em> by itself on one side.

In this problem since <em>k</em> is being multiplied by -9 on the right side of the inequality, to get <em>k</em> 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 <em>k</em> and on the right side, -45 divided -9 is -5. So we have <em>5 </em><em>></em><em> k</em>.

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WARRIOR [948]
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8 0
2 years ago
A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.
Hitman42 [59]

Answer:

1/5

Step-by-step explanation:

To find what fraction of the total price the battery is, we need to find out how much the battery alone is first.

Since the battery and torch together are £2.50 and the torch is £2.00, we can find the price of the battery by subtracting the total price to the price of the torch.

Battery Price = £2.50 - £2.00

Battery Price = £0.50

The fraction value of the torch is:

2.00 of 2.50 = 4/5

That then leaves us with:

0.50 of 2.50 = 1/5

To check we need to add the two fractions together.

1/5 + 4/5 = 5/5 or 1

6 0
2 years ago
What is the simplest form of 2 sq root 3/ sq root 6
Shkiper50 [21]

Answer:

2/√2

Step-by-step explanation:

We are to solve this surd question

2(√3)/√6

2(√3)/√2×3

2(√3)/√2×√3

Divide both by√3

2/√2

We will have to leave the answer in surd form

So the final answer is 2/√2

8 0
3 years ago
What is the slope of the line that passes through the points (−10,−8) and (-8, -16) Write your answer in simplest form.
jarptica [38.1K]

Step-by-step explanation:

given,

point = ( -10, -8 ) and ( -8, -16 )

we know,

slope = y2 - y1 / x2 - x1

x1 , y1 = (-10 , -8 )

x2 , y2 = ( -8, -16 )

after inserting the values we got,

→ -16 - (-8 ) / -8 - (-10)

→ -8/2 → -4

therefore, slope of line is -4.

hope this answer helps you dear...take care and may this answer helps you dear!.

7 0
2 years ago
279,936 cubic inches to cubic feet
Otrada [13]

Answer:

162

Step-by-step explanation:

Divide the value by 1728 and you get your answer of 162. Hope this was helpful. :)

3 0
3 years ago
Read 2 more answers
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