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podryga [215]
3 years ago
10

In a shipment of airplane parts, 5% are known to be defective. If 21 parts are found to be defective, how many parts are in the

shipment?
Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

We can use ratios and the cross-multiply-divide to find this.



The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.



21/5 = x/100



We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.

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Answer:

hello your question is incomplete attached below is the complete question

answer : -2400 π

Step-by-step explanation:

dr/dt = -12 km/s

h = 2.5 km

r = 40 km at some instant

hence the rate of change of Volume of cylinder at that instance

= dv / dt = d(\pi r^h ) / dt  

              = \pi h\frac{d(r^2)}{dt}  = -\pi h *2r *dr/dt

hence ; dv / dt = -2400 π

3 0
3 years ago
1. -222=-2x-3(4x+18)<br>2. 154=2x-6(-2x-14)<br>solve for x​
Aleksandr [31]

Answer:

1. x = 12

2. x = 5

Step-by-step explanation:

1. -222 = -2x - 12x - 54

-222 = -14x - 54

-168 = -14x

x = 12

2. 154 = 2x + 12x + 84

154 = 14x + 84

70 = 14x

x = 5

4 0
3 years ago
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Answer:

16

Step-by-step explanation:

4 0
3 years ago
Solving a word problem using a quadratic equation with rationa...
choli [55]

Answer:

length : 8 m

width : 13/2 = 6.5 m

Step-by-step explanation:

area of rectangle = l(ength)×w(idth) = 52

l = 2w - 5

=> (2w - 5)×w = 52

=> 2w² -5w - 52 = 0

we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4

=> (2w - 13)×(w + 4) = 0

=> 2 solutions for w :

2w-13 = 0

2w = 13, w = 13/2

w+4 = 0, w = -4

negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2

=> l = 2w - 5 = 13 - 5 = 8

8 0
3 years ago
What is the volume of a hemisphere with a radius of 3.6m ,rounded to the nearest tenth of a cubic centimeter
Mrrafil [7]

Answer:

V\approx 97.7\ m^3

Step-by-step explanation:

-A hemisphere is equivalent to half of a sphere.

- The area of a sphere is given by the formula:

V=\frac{4}{3}\pi r^3

-Given that r=3.6m, the hemisphere's volume can be calculated as:

V=\frac{4}{3}\pi r^3\\\\V_h=0.5\times \frac{4}{3}\pi r^3\\\\=0.5\times \frac{4}{3}\pi \times 3.6^3\\\\=97.7161\approx 97.7\ m^3

Hence, the hemisphere's volume is approximately  97.7\ m^3

6 0
3 years ago
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