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prohojiy [21]
2 years ago
14

Matthew found a deposit with a diameter that is 102 times as long as Josef's. How many millimeters long is the diameter of Matth

ew's deposit? Write your answer in standard form and with number names
Mathematics
1 answer:
just olya [345]2 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

Represent Mathew with M and Joe with J

The question has missing details as diameter found by Joe is missing.

However, we'll assume a value for this.

Let

J = 1440mm

This implies that

M = 102* J

Substitute 1440mm for J

So:

M = 102 * 1440mm

M = 14280mm

The question say the answer must be in standard form.

The form is written as:

a * 10^n

Where 1 ≤ a ≤ 9 and n is an integer

So,

M = 14280mm becomes

M = 1.4280 * 10⁴mm

M = 1.43 * 10⁴mm (approximated)

So, all you need to do is replace actual measurements of Joe's diameter with 1440m.

Other steps remain the same.

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7 0
3 years ago
Darlene was asked to identify which of the following numbers is prime. Witch number should she choose
nordsb [41]
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191 those are some prime numbers :)
5 0
3 years ago
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

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2 years ago
What is the area of a rectangle that is 1 1/4 m long and 3/4 of a meter wide
Marat540 [252]

Answer:

the answer for this question is 15/14

to find area the formula is area = l×b

here length is 1 1/4 and breadth is 3/4 so l×b = 1 1/4=5/4 so 5/4×3/4=15/14

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What is the rule for the line
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Answer:

B

Step-by-step explanation:

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3 years ago
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