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Tomtit [17]
2 years ago
13

a bicyclist covered 5/7 of his route and an additional 40 miles. he has yet to cover 118 miles less than 0.75 of his route. how

long is his route
Mathematics
1 answer:
Oduvanchick [21]2 years ago
8 0

The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.

<h3>How to form equation and solve for the variable?</h3>

The bicyclist covered 5 / 7 of his route and an addditional 40 miles.

Let

x = distance of his route in miles

Hence,

distance covered = 5 / 7 x + 40

He has yet to cover 118 miles less than 0.75 of his route. Therefore,

distance not covered = 0.75x - 118

Distance of his route = 5 / 7 x + 40 + 0.75x - 118

x = 5 / 7 x + 40 + 0.75x - 118

x = 1.464x - 78

x -  1.464x = -78

-0.464x = -78

x = 78 / 0.464

x = 168.103448276

x = 168 miles

learn more on equation here: brainly.com/question/13887440

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Answer:

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Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 5 -36

↓ 4 36

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1 9 0 → x + 9

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em><em>,</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.

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3 years ago
WHAT IS THE AREA OF THE SHADED REGION?
vazorg [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
A bag contains colored tiles.
Iteru [2.4K]

Answer:

0.5

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%
storchak [24]

Jane must therefore deposit her savings in the four rivers bank.

<h3>What is compound interest?</h3>

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the data provided in the question,

Rate, r = 12%

After five years, the total amount, if Jane had saved at Mystic Bank,if Jane had saved at Mystic Bank would be:

A = P(1+\frac{r}{100} )^n

For compounded quarterly,

n = 5 × 4

n = 20

A = 40000(1 + 12/(4 × 100))²⁰

A = 72244.44     (i)

If Jane placed her savings with the Four Rivers, then,

A = 40000(1 + 14/(2 × 100))¹⁰

A = 40000 × 1.9671

A = 78686.054  (ii)

Therefore, it is evident that case (ii) is higher than case (i). Jane must therefore deposit her savings in the four rivers bank.

To know more about Compound Interest:

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6 0
1 year ago
Need help with two of these! Thank you
astraxan [27]

Step-by-step explanation:

17) 3x+5-12+4x+2x

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if x =6

8*6-7 =48-7

= 41

18.) 9(3x-4y+8)

27x-36y+72

6 0
2 years ago
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