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galina1969 [7]
3 years ago
12

A manufacturer determines that the cost of making a computer component is $4.131313. Write the repeating decimal cost as a fract

ion and as a mixed number. The cost written as a fraction is​
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0

Answer:

The cost written as a fraction is​ --> 4 13/99

Step-by-step explanation:

Let x = 4.131313

100x = 413.1313

So, 100x - x = 99x

      100(4.131313) - 4.131313 = 408.99, or 409 when rounded

x = 409/99

x = 4 13/99

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In science class, Paul estimates the volume of a sample to be 37 mL. The actual volume of the sample is 39 mL. Find the percent
svet-max [94.6K]

Answer:

the answer is 5.1%

Step-by-step explanation:

first you divide 37 by 39 to get .94871795

next you would subtract 1 by that number and you get

.05128205 which can be rounded to .051 or 5.1%

7 0
3 years ago
Help please:((( p.s the last word is bill
zalisa [80]
Each egg is a 1$.49 so add 2 which will be $3.48 then add $1.49 gfor the bacon which will be 5.33 then 1.09 which will be $6.42 then add tax so 6.90 is her total and subtract 10$ from 6.90 she got 3.10 in change
8 0
3 years ago
Read 2 more answers
If a line is 10 feet long but needs to be reduced to 80% of its original, how long will the new line be?
motikmotik

Answer:

8 feet

Step-by-step explanation:

6 0
3 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-
MakcuM [25]

Option C

The simplified form of given expression is 4.46 \times 10^{-4}

<em><u>Solution:</u></em>

Given that we have to simplify the expression shown below

0.00048 - (3.4 \times 10^{-5})

Let us first convert 0.00048 to scientific notation

<em><u>Steps to follow:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.00048 = 4.8 \times 10^{-4}

So the given expression becomes,

\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}

Let us make the exponent of second term as -4

\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}

Take 10^{-4} as common term,

\rightarrow 10^{-4} (4.8 - 0.34)

\rightarrow 4.46 \times 10^{-4}

Thus option C is correct

7 0
3 years ago
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