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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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WORTH 30 POINTS
frozen [14]
Remark 
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Givens
Let x = the number in the entire class.
Let 80% of the class = 24

Argument
80% of x = 24 Change 80% to a fraction.
80/100 * x = 24  Divide by 100
0.8 x = 24           Divide by 0.8
x = 24 / 0.8
x = 30

There were 30 people in the class.
3 0
4 years ago
Find the volume of this pyramid
forsale [732]

Answer:

47,61 inches

Step-by-step explanation:

I used 23 inches as the width and length since this pyramid's base is a hexagon with all equal sides. Hope this helps =)

3 0
1 year ago
To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equati
murzikaleks [220]

Answer:

x-4y+4=0

f(x)=\sqrt x and x=4

Step-by-step explanation:

We are given that a curve

y=\sqrt x

We have to find the equation of tangent at point (4,2) on the given curve.

Let y=f(x)

Differentiate w.r.t x

f'(x)=\frac{dy}{dx}=\frac{1}{2\sqrt x}

By using the formula \frac{d(\sqrt x)}{dx}=\frac{1}{2\sqrt x}

Substitute x=4

Slope of tangent

m=f'(x)=\frac{1}{2\sqrt 4}=\frac{1}{2\times 2}=\frac{1}{4}

In given question

m=\lim_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}

\frac{1}{4}=\lim_{x\rightarrow 4}\frac{f(x)-f(4)}{x-4}

By comparing we get a=4

Point-slope form

y-y_1=m(x-x_1)

Using the formula

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y-2=\frac{1}{4}(x-4)

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8 0
3 years ago
I need help with this question pls
Andrej [43]

Answer:61.8°

Step-by-step explanation:

Length of arc=(theta)/360 x 2 x π x radius

9.7=(theta)/360 x 2 x 3.14 x 9

9.7=56.52(theta)/360

cross multiply

9.7 x 360=56.52(theta)

3492=56.52(theta)

Divide both sides by 56.52

3492/56.52=56.52(theta)/56.52

61.8=theta

theta=61.8°

7 0
3 years ago
What is the solution of the equation?
pantera1 [17]
<span>4.7x + 3.8 = 13.2
</span><span>4.7x + 3.8 - 3.8= 13.2 - 3.8 
4.7x = 9.4
x = 2

answer is D. 2</span>
7 0
3 years ago
Read 2 more answers
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