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4 years ago

How to set the answer up

Mathematics

1 answer:

Korolek [52]4 years ago

3 0

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

2s + g = 171
5s + 8g = 576

Cramer's rule tells you the solution to the system

ax +by = c
dx +ey = f

Is given by

x = (bf-ey)/(bd-ea)
y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

You might be interested in

A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 5% will need repairs

gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

a) Neither will need repair:

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

b) Both will need repair:

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

c) At least one car will need repair

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74) = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0

4 years ago

If the delivery company achieves its improvement goal, by how much will the hourly delivery rate of the typical delivery staff m

DanielleElmas [232]

It should be noted that the hourly delivery rate is calculated by dividing the income made by the number of hours worked.

<h3>How to calculate the hourly delivery rate</h3>

Your information is incomplete. Therefore, an overview of the information will be given.

In order to get an hourly rate, it's important to divide the income that the person gets by the number of hours that the person worked.

In this case, let's say that the income is $20000 and the number of hours that was worked monthly was 240 hours, the hourly rate will be:

= $2000/240

= $8.33 per hour

Learn more about hourly rate on:

brainly.com/question/24392720

4 0

2 years ago

Which of the following expressions is equal to 3x^2 + 27

Kisachek [45]

Factor:
3x^2 + 27
= 3(x^2 + 9)
Answer is 3(x^2 + 9), when factored.

A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2

B) (3x - 9i)(x + 3i)
= (3x + - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2

C) (3x - 6i)(x + 21i)
= (3x + - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
= - 126i^2 + 57ix + 3x^2

D) (3x - 9i)(x - 3i)
= (3x + - 9)(x + - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x

Hope that helps!!!

8 0

4 years ago

Read 2 more answers

Is the graph increasing, decreasing, or constant where -3 < X <-1?

Romashka [77]

Answer:

decreasing

Step-by-step explanation:

since its negative it will slope down

8 0

3 years ago

What is the solution to 2logg(x) = logg8+log,(x-2)? x=-4 x=-2 X=4 X= 8

astra-53 [7]

Answer:

x = 4

which agrees with the third listed answer among the given options

Step-by-step explanation:

We can re-write the logarithmic equation using the properties of logarithms:

$2\,log(x)=log(8)+log(x-2)\\log(x^2)=log(8*(x-2))\\log(x^2)=log(8x-16)$

Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:

$x^2=8x-16\\x^2-8x+16=0\\(x-4)^2=0$

and for this equation to verify, x must be 4

5 0

3 years ago

Read 2 more answers