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julia-pushkina [17]

3 years ago

7

Help i dont understand this

1 answer:

Igoryamba3 years ago

4 0

I’m not extremely good at math but I think you need to make -x-y=1 into y=mx+b form and then solve your new equation!

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How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,73

arsen [322]

The sum of n terms of a geometric series is given by
$S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}$

Substituting the given numbers, you have
$2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6$

There are 6 terms in the series.

4 0

3 years ago

Write three different improper fractions that equal 4 1/2

salantis [7]

18/4ths, 27/6ths, and 36/8ths.

6 0

3 years ago

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Jimmy is buying 2 pairs of pants that cost $14.50 each. There is a 7.5% sales tax What is the total Jimmy will pay for the pants

dangina [55]

Answer:

$31.18

Step-by-step explanation:

14.50 x 2 = 29

29 x 0.075 = 2.175

29 + 2.175 = 31.175

Round up to 31.18

5 0

2 years ago

A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t

madreJ [45]

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

For second lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap $=50+(\frac{20}{100}\times 50)$

second lap $= 50 + 10$

second lap $= 60\ sec$

For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

$Third\ lap = 60 + (\frac{20}{100}\times 60)$

$Third\ lap = 60+2\times 6$

$Third\ lap = 60+12$

$Third\ lap = 72\ sec$

Time taken for 3 laps is equal to sum of all three laps time.

$Tiem\ taken\ for\ 3\ lap = 50+60+72$

$Tiem\ taken\ for\ 3\ lap = 182\ sec$

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

6 0

3 years ago

Georgia [21]

B. Step 1. 14x - 6 = 9
Step 2. 14x = 15

3 0

3 years ago

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