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Ipatiy [6.2K]
3 years ago
12

What is the maximum integer value that satisfies the inequality 5x-11≤ 43?

Mathematics
1 answer:
Nitella [24]3 years ago
7 0

Answer:

10

Step-by-step explanation:

We start by getting the value of x

We have this as follows:

5x ≤ 43 + 11

5x ≤ 54

x ≤ 54/5

x ≤ 10.8

As we can see, the maximum integer closest to this decimal is the value 10

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A boat’s sail is a right triangle. The length of one side of the sail is 7 feet more than the other side. The hypotenuse is 13 f
Svetach [21]

Answer: the other two sides are 5 feet and 12 feet

Step-by-step explanation:

Length of one side be x , that means the other side is x + 7

by Pythagoras theorem:

x^{2} + (x+7)^{2} = 13^{2}

expanding , we have:

x^{2} + x^{2}+ 14x + 49 = 169

2x^{2} + 14x + 49 - 169 = 0

2x^{2}  + 14x - 120 = 0

divide through by 2 , we have

x^{2}+ 7x - 60 = 0

By factorizing , we have

(x - 5)(x+12) = 0

Therefore:

x = 5 or x = -12

Since , the side can not be negative , so

x = 5

That means the other side will be 5+ 7 = 12

8 0
4 years ago
Work out the value of x.
Bas_tet [7]

Answer:

x = 33

Step-by-step explanation:

Sum of the interior angles of a 5-sided polygon = 540°

Therefore all the interior angles of the given polygon would all be equal to 540°.

Thus:

(4x - 25)° + (3x + 25)° + (2x - 3)° + (4x)° + (3x + 15)° = 540°

Solve for x

4x - 25 + 3x + 25 + 2x - 3 + 4x + 3x + 15 = 540

Combine like terms

4x + 3x + 2x + 4x + 3x - 25 + 25 - 3 + 15 = 540

16x + 12 = 540

16x = 540 - 12

16x = 528

Divide both sides by 16

x = 33

5 0
3 years ago
What is the product of (2x - 1) (x + 4)
nikdorinn [45]

Answer: 2x^{2}+7x-4

Step-by-step explanation:

Product implies multiplication so just multiply it out.

(2x-1) (x+4)

2x^2+8x-1x-4  (Combine like terms)

2x^2+7x-4

8 0
2 years ago
48 is ____ less than 94
Snowcat [4.5K]

Answer:

46

Step-by-step explanation:

94-48

46

7 0
3 years ago
Read 2 more answers
Matt reasoned that he can write 9/1000 as 0.9. Is he correct?
Lubov Fominskaja [6]
The answer is no, he's not correct.

You're looking at 9/1000, which means you move the (invisible) decimal point after 9 three places to the left (because you're dividing and there are 3 zeros after the 1 in 1000). This would give you 0.009.
3 0
3 years ago
Read 2 more answers
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