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o-na [289]
3 years ago
8

Any portion of the circumference of a circle is called a(n)

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0
Any portion of the circumference of a circle is called a radius
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1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
2 years ago
I need help asap please (work needs to be shown)
fredd [130]
I can’t see the image
4 0
2 years ago
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If a number is divisible by 2 and 3 then it is divisible by 6
IrinaVladis [17]
Yes it is it is because So for a number to be divisible by 6, it must also be divisible by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is divisible by 3.
4 0
3 years ago
What is one-half divided by one-eight?
Arturiano [62]

Answer: 4

Step-by-step explanation:

8 0
2 years ago
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Loretta places 20 red tiles in a bag. How many blue tiles must be added to the bag to make the probability of randomly drawing a
Galina-37 [17]

Answer:

If the number of blue tiles in the bag is 180, then the probability of randomly drawing a red tile equal to 1/10.

Step-by-step explanation:

Total number of red tiles in a bag = 20

Let us assume the number of blue tiles in a bag = p

So, the total number of tiles in a bag  = Red Tiles + Blue tiles  

=  20 +  p

Now, let us find the probability of drawing a red tile:

\textrm{The probability of drawing a red tile} = \frac{\textrm{Total Number of red tiles}}{\textrm{Total Tiles}}\\= \frac{20}{20 + p}

But, here the probability of drawing a red tile = 1/10

\implies \frac{1}{10}  = \frac{20}{20+p} \\\implies 20 + p = 200\\\implies p = 200- 20 =  180

or, p = 180

Hence, if the number of blue tiles in the bag = 180, then the P Picking out a red tile ) is 1/10.

5 0
2 years ago
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