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konstantin123 [22]
3 years ago
10

An automobile factory wants to produce a total of 210 cars during three shifts. If the first shift produces two-fifths of the ca

rs and the second shift produce one-third of the cars, what fraction of the total cars does the third shift need to produce?
Mathematics
2 answers:
Katena32 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

answer below

sergij07 [2.7K]3 years ago
3 0

Answer: 4/15

Step-by-step explanation: Total Cars to be produced in three Shifts = 210

Fraction of total cars to be produced in First Shift = 2/5

Fraction of total cars to be produced in second Shift = 1/3

Summation of all the fractions of total cars to be produced in all the three shifts should be equal to 1

Hence, fraction of total cars to be produced in third Shift = 1- (2/5) - (1/3)

= ( 15 - 6 - 5)/15 ( taking LCM of 5&3)

= 4/15

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A dress listed from $119 is discounted 25%. What is the sale price of the dress including a 7 1/2 state sales tax?
Daniel [21]
If it is discounted 25%, then u r actually paying 75%

0.75(119) = 89.25 (without tax)

sales tax = 7 1/2% = 7.5% = 0.075
89.25(1.075) = $ 95.94 <===


3 0
3 years ago
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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
2 years ago
Im doing decimals greatest to least and i need help with number 12 and 13
erma4kov [3.2K]

(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)

1. Just because a number looks big, doesn't mean it is big

Example: 1.00000000000001 < 1.1

just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"

2. Negative numbers are... opposite. and they are less than positive numbers

-3.4 > -4.1

Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers

I hope these tips helped!! :D

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Answer:

E.1.06(26.50+10d)

Step-by-step explanation:

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i think i its d im not sure to

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Need help from a math wiz
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I know the 3rd question the answer is rectangle

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