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Lina20 [59]
3 years ago
14

The sum of three consecutive odd numbers is less than or equal to 33. Write an inequality and solve to determine the maximum val

ue of the lowest number.
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

9

Step-by-step explanation:

If first odd number is x

THen next consecutive odd number is x + 2

Next one is x + 4

Now, we can write the word problem as:

x+x+2+x+4 \leq 33

Now we solve:

x+x+2+x+4 \leq 33\\3x+6 \leq 33\\3x \leq 27\\x \leq 9

So, x is less than or equal to 9, so it can be

9, 7, 5 .....

What is the maximum value of the lowest number (x)?? It is 9

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Question #2 <img src="https://tex.z-dn.net/?f=5x%2B9%5Cleq%204" id="TexFormula1" title="5x+9\leq 4" alt="5x+9\leq 4" align="absm
shutvik [7]
X is less than or equal to -1
6 0
3 years ago
Genevieve wants to verify that }(5x-20)-(4x-8) is equivalent to x. Which procedure can Genevieve follow to determine if
Gnom [1K]

They aren't equivalent

<h2>Explanation:</h2>

In order to determine whether the expression:

(5x-20)-(4x-8)

is equivalent to:

x

Genevieve needs to follow these steps:

Step 1. Get rid parentheses

5x-20-4x+8

Step 2. Combine like terms

5x-4x-20+8

Step 3. Solve

x-12

So:

x\neq x-12

Therefore, these two expressions aren't equivalent.

<h2>Learn more:</h2>

Writing expressions: brainly.com/question/13894833#

#LearnWithBrainly

4 0
4 years ago
Read 2 more answers
Suppose A and B are dependent events. If P(A) = 0.5 and P(BIA) = 0.6, what is
klasskru [66]

If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.

<h3>Which pair of events are called independent events?</h3>

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

P(A ∩ B) = P(A)P(B)

Comparing it with chain rule will give

P(A|B) = P(A)

P(B|A) = P(B)

Suppose A and B are dependent events.

If P(A) = 0.5

Then P(A|B) will be

P(A|B) = P(A)

P(A|B) = 0.5

Then the correct option is B.

Learn more about probability here:

brainly.com/question/1210781

#SPJ1

4 0
2 years ago
Hep me please i would really appreciate it
e-lub [12.9K]

Answer:

Part A: 4,300 ≥ 2500 + 0.12s

Part B: Less than or equal to $15,000

Part C: In the image

Step-by-step explanation:

For Part A: The total needs to be at least 4,300. So 4,300 is greater than or equal to how much she earns. 2,500 is the base pay, and it is added to 0.12s, which represents 12% of sales (s).

For Part B:

Using the inequality, solve for s

4,300 ≥ 2500 + 0.12s

Subtract 2500 from both sides

1800 ≥ 0.12s

Now divide both sides by 0.12 to isolate s

15000 ≥ s

So sales must be less than or equal to 15000.

Part C:

5 0
3 years ago
Determine the Cartesian coordinates of the points with polar coordinates (\sqrt{2}, \pi/4 ), (0, \pi), (-1,400\pi), and ( 2\sqrt
yarga [219]

Answer:

Step-by-step explanation:

We have the conversion from polar coordinates to cartesian as

x =rcost and y = rsint where (r,t) are the polar coordinates

Also all trignometric functions are periodic with period = 2pi

Using this we find out

(\sqrt{2}, \pi/4 ) = (\sqrt{2}cos \pi/4, \sqrt{2}cos \pi/4,)=(1,1)\\ (0, \pi), (-1,400\pi),=(0 cos 1400 \pi, 0 sin 1400\pi)\\= (0, 0)\\\\ ( 2\sqrt{3},- 2\pi / 3) = (2\sqrt{3}, cos2\pi / 3, 2\sqrt{3},sin2\pi / 3))\\=(-\sqrt{3}, 3)

Thus we converted polar to rectangular coordinates.

Reverse would be

from (x,y) to (r,t) as

r=\sqrt{x^2+y^2} \\tant = y/x

8 0
3 years ago
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