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dolphi86 [110]
2 years ago
10

Which is greater? -7 or -6?

Mathematics
1 answer:
Elenna [48]2 years ago
8 0

When discussing "greater" and "lesser", the term "greater" means
'more positive'. So although 7 is a bigger number than 6 ... that is
7 has the bigger absolute value ... -6 is more positive than -7, so
-6 is the 'greater' of those two numbers.

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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation
wlad13 [49]

Answer:

Option 4

Step-by-step explanation:

Let any two real number a and b (no matter +ve, -ve or 0). a ≥ b

The average of them will always lie in between them or be equal(if 0).

Let's prove : According to the statement,

a ≥ (a + b)/2 ≥ b

2a ≥ a + b ≥ 2b

2a ≥ a + b and a + b ≥ 2b

a ≥ b and a ≥ b, as we assumed.

Moreover, as the average exists in between a and b, we have the average (a + b)/2. Similarly, there exists one more average of (a + b)/2 and a or b, which definitely lie between a and b as (a + b)/2 lies there and smaller than a and b.

In the same order, we can have many average and the process would stop. This leads to infinite number between a and b.

Notice that we talked about all the numbers moreover there are many irrational(non-terminating like 9.898989.... etc numbers as well.

Option (4), infinite solutions.

Note: we solved for all the number (not specifically odd, even, natural, whole, integer, etc).

7 0
3 years ago
Kelly has a rectangular fish aquarium that measures 18 inches long, 8 inches wide, and 12 inches tall.
BigorU [14]

Answer:

a) The maximum amount of water the aquarium can hold is 1728 in³.

b) The cover has to be 624 in² big.

Step-by-step explanation:

a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:

V=L×W×H=18 in × 8 in × 12 in= 1728 in³

b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:

One of them is given by the multiplication of the width and the height:

A₁= W×H= 8 in × 12 in=96 in²

The other area is given by the multiplication of the length and the height:

A₂= L×H= 18 in × 12 in= 216 in²

As the fish aquarium is rectangular the area of the walls is given by:

A_T=2A_1+2A_2=2×96 in²+2×216 in²=624 in²

8 0
3 years ago
Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing th
Darina [25.2K]

Answer:

y=1/2x+2(2 is the y-intercept)

The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.

Hope it helps <3

4 0
2 years ago
Read 2 more answers
22) Answer the inequality statement relating the two angles. Also please don’t answer if you don’t know it but if you do I’ll ma
eduard

Answer:

A) <

angle X is greater .

Step-by-step explanation:

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6 0
3 years ago
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If 2x-4= -x+5, then find the value of x
Ganezh [65]

Answer:

Step-by-step explanation:

x=3

7 0
3 years ago
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