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faltersainse [42]
3 years ago
7

A cell phone company produces 40 defective phones out of every 5000 phones. Another cell phone company produces 30 defective pho

nes out of every 6000 phones. What is the highest number of defective phones do the companies have in common?
Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

10

Step-by-step explanation:

Given that:

Company A:

40 defective out of every 5000

Company B :

30 out of every 6000

To obtain the highest number of defective phones both companies can produce in common :

Factors of :

40 : 2, 4, 5, 8, 10, 20, 40

30 : 2, 3, 5, 6, 10, 15, 30

Hence, highest number of defective phones both companies can produce in common is 10

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A plane intersects the center of a sphere with a volume of about 113.1 m3. What is the area of the cross section? Round to the n
ivolga24 [154]

Answer:

Step-by-step explanation:

if ~radius=r \\volume =\frac{4}{3} \pi r^3\\113.1=\frac{4}{3} \pi r^3\\113.1 \times \frac{3}{4 \pi } =r^3\\\frac{339.3 }{4 \times 3.14} =r^3\\r^3=\frac{339.3}{12.56} \approx 27\\r=3\\area =\pi r^2=\pi *3^2=9\pi =9*3.14=28.26 \approx 28.3 ~m^2

5 0
3 years ago
The directions on a sewing pattern say to buy an extra 12.5% of fabric to account for error. Sam needs 2.75 yards of fabric to m
uranmaximum [27]

Answer:

Sam should have bought 3.09 yards of fabric instead of 2.4 yards

So, Option D is correct.

Step-by-step explanation:

Total fabric needed by Sam = 2.75

According to directions on a sewing pattern they say to buy an extra 12.5%

So, extra fabric would be: 12.5% of 2.75

Solving

12.5\% \ of \ 2.75\\=\frac{12.5}{100}\times 2.75 \\=0.343

Now adding 0.343 into 2.75 to get extra fabric quantity:

2.75+0.343

=3.09

Therefore Sam should have bought 3.09 yards of fabric instead of 2.4 yards

So, Option D is correct.

7 0
3 years ago
The largest doll is 12 inches tall. the height of each of the other dolls is 710710 the height of the next larger doll. write an
GrogVix [38]

the question doesn't say how many dolls. there would be an infinite number.  
But we'll just form the equation for the nth doll.     
 Largest doll = 12 inches
 2nd doll = (12) x 0.7
 3rd doll = (12 x 0.7) x 0.7
 4th doll = [(12 x 0.7) x 0.7) x 0.7 
  
 OK, We now see the pattern. Each successive doll is mult by the previous

doll height x 0.7
 the Nth doll, 12 is mult by 0.7(n-1)  
 So, the height of the nth doll can be expressed as: 12 x 0.7(n-1)  
 example: 4th doll = 12 x 0.7(4-1) = 12 x 0.73
  10th doll = 12 x 0.7(10-1) = 12 x 0.79 etc
3 0
3 years ago
Please help me asap. picture is linked
ozzi

Answer:

(4,-2)

Step-by-step explanation:

you just need to move from point P to 5 units to the right and 7 units down

7 0
2 years ago
Helen Ming receives a travel allowance of $220 each week from her company for time away from home. If this allowance is taxable
lina2011 [118]

Answer:

$33

Step-by-step explanation:

The travel allowance that Helen Ming receives is $220

The income tax rate is 15\%

The amount she has to pay is calculated by multiplying the tax rate by the travel allowance.

=\frac{15}{100}\times220

We simplify to obtain

=\frac{15}{10}\times22=33

Therefore Helen Ming has to pay $33 form her benefit.

6 0
3 years ago
Read 2 more answers
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