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Sedbober [7]
3 years ago
12

Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, th

e factory produced 1315 parts altogether. How many parts were produced in January and how many parts were produced in February?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
7 0
X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740
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The football fields at three different schools were measured, and it was found that their perimeters were 320 m, 360 m, and 400
Tomtit [17]

Let us say that,

<span>A = perimeter of football field of the 1st school</span>

B = perimeter of football field of the 2nd school

C = perimeter of football field of the 3rd school

 

So that:

A = 320 m

B = 360 m

C = 400 m

 

So the first thing we have to do to find for the minimum laps to make is to divide every perimeter by the smallest one, therefore divide all by 320 m, hence:

A’ = 1

B’ = 1.125

C’ = 1.25

 

Now multiply everything by a number such that all laps will be a whole number, in this case multiply everything by 8:

A’ = 8

B’ = 9

C’ = 10

 

Hence the laps to run are:

<span>8, 9 and 10</span>

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4 years ago
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8 0
3 years ago
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El equipo mixto de fútbol tiene cuatro veces más niños que niñas. Decimos quela razón del número de niños
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3 years ago
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A carpenter is building a rectangular room with a fixed perimeter of 300 ft. what dimensions would yield the maximum​ area?
Inessa05 [86]

Perimeter = 2(Length) + 2(Width)

300 = 2L + 2W → 150 = L + W → 150 - L = W

Area = Length · Width

A_{max} = L(150 - L) → A_{max} = 150L - L²

There are 2 different methods for solving (depending on which math course you are taking).

<u>Calculus</u>: find the derivative, set it equal to zero, and solve for L.

A_{max} = 150L - L² → 0 = 150 - 2L → 2L = 150 → L = 75

<u>Algebra</u>: find the vertex.

A_{max} = - L² + 150L → L = -b/2a → L = -150/2(-1) → L = 75

Once you solve for L, plug it into the Perimeter equation to solve for W:

150 - L = W → 150 - 75 = W → W = 75

Answer: 75ft x 75ft


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4 years ago
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