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3 years ago

Solve for x and y in the following sequences:

Mathematics

1 answer:

elena55 [62]3 years ago

4 0

Answer:

a) x=4.1,y=6.8 b) x= ,y=

Step-by-step explanation:

a)Tn= a+(n-1)d

a=1.4

d=unknown

to find d use the terms given to solve

using the fourth term

9.5=1.4 + (4 -1)d

9.5= 1.4+(3)d

9 5-1.4=3d

8.1=3d

8.1/3=3d/3

2.7 =d

To find x

Tn=a+(n-1)d

x=1.4+(2-1)2.7

x= 1.4+(1×2.7)

x=1.4+2.7

x=4.1

To find y add 2.7 to x

y=4.1+2.7

y=6.8

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A town doubles it’s size every 35 years if the population is currently 5,00, what will be the population be in 140 years?

Doss [256]

Answer:

8,000

Step-by-step explanation:

after 35 years 1000

after 70 2000

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qfter 140 8000

i might be wrong but hope this helped there is probs a faster way to do this tho.

5 0

2 years ago

The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 m

Brut [27]

Answer:

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

$\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.$

8 0

2 years ago

When 37299 is divided by a number , the quotient is 298 and the remainder is 49. what is the number?

alisha [4.7K]

Answer:

$\huge\boxed{125}$

Step-by-step explanation:

$n-\text{a number}\\\\298n+49=37299\qquad|\text{subtract 49 from both sides}\\\\298n+49-49=37299-49\\\\298n=37250\qquad|\text{divide both sides by 298}\\\\\dfrac{298n}{298}=\dfrac{37250}{298}\\\\n=125$