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lawyer [7]
3 years ago
12

The Commerce Department reported receiving the following applications for the Malcolm Baldrige National Quality Award: 23 from l

arge manufacturing firms, 18 from large service firms, and 30 from small businesses. What percentage of the applications came from small businesses (to 1 decimal)?
Mathematics
2 answers:
Mrac [35]3 years ago
7 0

Answer:

42.3%

Step-by-step explanation:

to calculate the percentage of the applications from small businesses, the first step is to find the total number of applications received from all the firms

total number of awards = 23 + 18 + 30

                                      =71 awards

percentage of applications from small businesses = \frac{30}{71} × 100

                                                                                  =42.2535

                                                                                ≈42.3% to 1 decimal place

42.3% of the applications came from small businesses

Rzqust [24]3 years ago
4 0

Answer:

42.2% of the applications came from small businesses

Step-by-step explanation:

the percentage of applications that came from small businesses can be calculated through:

percentage from small businesses = applications from small businesses / total number of applications = 30 / (23+18+30) = 0.422 (42.2%)

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Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a
FrozenT [24]

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

x + y = 160

The total earnings is: $1850, so we have:

5x + 15y = 1850

Required

Determine the rate of each

The equations are:

x + y = 160 --- (1)

5x + 15y = 1850 --- (2)

Divide (2) through by 5

x + 3y = 370 --- (3)

Subtract (1) from (3)

x - x + 3y - y = 370 - 160

2y = 210

Divide through by 2

y = \frac{210}{2}

y = 105

Substitute 105 for y in (1)

x + y = 160

Make x the subject

x = 160 - y

Substitute 105 for y

x = 160 - 105

x = 55

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

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A cuboid has side lengths 3cm, 4cm and 7cm. A cylinder with a height double that of the longest side of the cuboid has the same
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Step-by-step explanation:

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