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3 years ago

A number, one-third of that number , and one-fourth of that number are added. The result is 19 what is the original number

Mathematics

2 answers:

aalyn [17]3 years ago

8 0

Hi, your original number is 12... hoped I helped!

GaryK [48]3 years ago

4 0

X + 1/3x + 1/4x = 19...multiply by common denominator of 12
12x + 4x + 3x = 228
19x = 228
x = 228/19
x = 12 <=== ur original number

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3 years ago

Find the fifth term of the binomial expansion. (x2+y5) ^8

OlgaM077 [116]

Answer:

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

Step-by-step explanation:

Step:1

Given that the binomial expansion

( x² + y⁵ )⁸

we know that

$T_{r+1} = n_{C_{r} } a^{r} x^{n-r}$ ...(i)

Step:2

put r = 4

$T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}$

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Final answer:-

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

6 0

3 years ago

2. A car takes 7 hours 50 minute to travel 549 9/10 km.

lorasvet [3.4K]

2.)

average velocity=(change in distance)/(change in time), in this case:

v=(549 9/10)/(7 50/60)

v=(5499/10)/(470/60)

v=(5499/10)(60/470)

v=32994/470

v=70.2 km/hr

...

picture

Make two position functions...

c=15t, and r=120-20(t-1)

c=15t, r=140-20t

They meet when c=r so:

15t=140-20t add 20t to both sides

35t=140 divide both sides by 35

t=4

So they will meet 4 hours after Cindy leaves at 1 pm, thus they meet each other at 5 pm.

check...

c=15(4)=60

r=120-20(4-1)

r=120-20(3)

r=60

3 0

3 years ago