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postnew [5]
4 years ago
6

**WILL MARK BRAINLIEST!!!** At a train station, freight trains depart at a rate of 2 trains every 30 minutes and passenger train

s depart at a rate of 1 train every 90 minutes. At this rate, how many total trains will depart from the station in a 12-hour period? Show your work.

Mathematics
1 answer:
lyudmila [28]4 years ago
7 0
Top is the passenger train
bottom is the freight
make sure you add 48+8=56
there are 56 trains that went to the station in a 12 hour period.

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gtnhenbr [62]

9514 1404 393

Answer:

  • ornament area = 379.8 cm²
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Step-by-step explanation:

The surface area of one cone with slant height s and radius r is ...

  SA = πr² +πrs = πr(r+s)

For the cone that is half an ornament, the surface area is ...

  SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²

The area of one ornament is the area of two cones:

  one ornament area = 2×189.9072 cm² ≈ 379.8 cm²

60 ornaments will be 120 cones, so will have a total surface area of ...

  total area = 120(189.9072 cm²) = 22,788.864 cm²

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If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...

  (22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles

5 0
3 years ago
A company that makes​ hair-care products had 3,000 people try a new shampoo. Of the 3,000 ​people, 18 had a mild allergic reacti
MrMuchimi

Answer:

60%

Step-by-step explanation:

There was a total of 3000 people and of those 3000 people only 18 had a mild allergic reaction.

18/3000 × 100 = 60%

5 0
4 years ago
Read 2 more answers
Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form of q(x)+r(x)/b(x)
natima [27]

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}

x^3=x\cdot x^2, and x(x^2+2x+1)=x^3+2x^2+x. Subtracting this from the numerator gives a remainder of

(x^3+10x^2+13x+39)-(x^3+2x^2+x)=8x^2+12x+39

8x^2=8\cdot x^2, and 8(x^2+2x+1)=8x^2+16x+8. Subtracting this from the previous remainder gives a new remainder of

(8x^2+12x+39)-(8x^2+16x+8)=-4x+31

-84x is not a multiple of x^2, so we're done. Then

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}=x+8+\dfrac{-4x+31}{x^2+2x+1}

4 0
3 years ago
What is the unit rate for the ratio 100 points/ 4 games?
wlad13 [49]

Answer:c

Step-by-step explanation:

 

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vesna_86 [32]

Answer:

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Step-by-step explanation:

Since the distribution of individual incomes is skewed to the right, it means that the distribution has a long right tail.

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Following this reasoning, the median (which is not influenced by this difference) would be the less high number.

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