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dmitriy555 [2]
3 years ago
5

At a certain factory, 10 percent of the staplers produced on monday were defective and 2 percent of the nondefective staplers we

re rejected by mistake. if 90 of the nondefective staplers were rejected, what was the number of staplers produced that day?
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Because 12% of the staplers were defective or considered defective, we simply find 12% of a number that is equvalent to 90:

0.12x = 90

x = 750

750 staplers were produced

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A recursive rule for a geometric sequence is a1=2; an= 4/9 an-1
Oxana [17]

A recursive rule for a geometric sequence:

a_1\\\\a_n=r\cdot a_{n-1}

---------------------------------------------------

a_1=2;\ a_n=\dfrac{4}{9}a_{n-1}\to r=\dfrac{4}{9}

---------------------------------------------------

The exciplit rule:

a_n=a_1r^{n-1}

Substitute:

a_n=2\left(\dfrac{4}{9}\right)^{n-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\left(\dfrac{4}{9}\right)^{-1}=2\cdot\left(\dfrac{4}{9}\right)^n\cdot\dfrac{9}{4}\\\\\boxed{a_n=\dfrac{9}{2}\cdot\left(\dfrac{4}{9}\right)^n}

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3 years ago
How do you simplify 4x + 2y +2x - 7y +8 - 5x -2
Svetradugi [14.3K]

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Step-by-step explanation: combine like terms

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3 years ago
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Solve for the indicated variable 3x - y = 10; y
VashaNatasha [74]

Answer:

y = 3x - 10

Step-by-step explanation:

Starting with 3x - y = 10, add y to both sides:

3x = 10 + y

Then subtract 10 from both sides:

3x - 10 = y

If you switch the sides of the equation, it can also be written as:

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yaroslaw [1]

The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

$f(x)=x^{2}+15 – – – – (1)

f(x)=64 – – – – (2)

To find the solutions to f(x) = 64.

Equate equation (1) and (2), we get

x^2+15=64

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Taking square root on both sides of the equation, we get

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The solutions to f(x) = 64 is x = 7 and x = –7.

5 0
3 years ago
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