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hoa [83]
3 years ago
9

I need help figuring this out (#9)

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

there are 60 minutes in 1 hr.

every 10 minutes the factory makes 15 bears.

so 10+10+10+10+10+10 is 1 hr, and is really 15+15+15+15+15+15 bears, namely 90 per hour.

every day, the factory does that for 8 hours straight, so namely they make 90 * 8 teddy bears, or 720 per day.

let's make a table of bears per day

1 day............................... 720(1)

2 days............................ 720(2)

3 days............................ 720(3)

4 days............................ 720(4)

x days............................ 720(x)

so the amount of bears they make say "A" is per day is A = 720x.

what would be the fewest days to make 5000?

well, whatever 720x is, it has to be either 5000 exactly OR more, not less, then

5000 ⩽ 720x.

and dividing both sides by 720 we get about 6.94 ⩽ x.

so we can conclude that whole days, it'll be 7, since 6.94 is about 7 days, but rounded up to whole days it'll be 7 days.

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now you can see which is bigger
4 0
3 years ago
2x + y - z = -8
Andreyy89

Answer:

Multiply row 1 by \frac{1}{2}.

Step-by-step explanation:

The augmented matrix of the system of linear equation is described below:

\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Where a_{11} = 2, if we need to create a_{11} = 1, we need to multiply row 1 by \frac{1}{2}, that is to say:

\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]

Hence, the correct answer is: Multiply row 1 by \frac{1}{2}.

5 0
3 years ago
The sum of 5 consecutive integers is 100. What is the first number in this sequence?
yanalaym [24]
So we can call first number "n"

Then all five integers would be n, n+1, n+2, n+3, n+4

So sum of them would be 5n + 10 = 100

Now you can solve for n:

5n + 10 = 100

5n = 90

n = 18

Verify: 18 + 19 + 20 + 21 + 22 = 100. All good.

So answer is 18
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3 years ago
If an equation is an identity, then how many solutions does it have?
Alona [7]
Since they are the same, any change made to 1 will be the same in the other, resulting in infinite solutions.
7 0
4 years ago
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The radius of a coin is 12 mm what is the diameter of the coin what is the circumference of the coin what is the area of the coi
Fudgin [204]

Answer:

Step-by-step explanation:

radius of a coin is 12 mm

Diameter of the coin is twice the radius  = 2 x 12mm = 24mm

The circumference of the coin= 2πr = 2 x3.14 x 12 = 75.36m

Area of coin = πr²= 3.14 x 12 x12 = 452.16mm²

what is the area of the coin

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4 years ago
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