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Charra [1.4K]
3 years ago
11

Directions: Solve each of the following equations.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

Step-by-step explanation:

11. 76x + 23x = 33

    99x = 33

   x = 33/99 which reduces to 3

12. 140r - 8r - 4r = 216

    128r = 216

   r = 216/128 which reduces to 27/16

13. 98c - 99c = 1

-1c = 1

c = -1/1

c = -1

14. 104mn + (-84mn) = 36

    104mn - 84mn = 36

   20mn = 36

   mn = 36/20 which reduces to 9/5....I am not sure about this one...I was not                sure if u were looking for m or n..so I didn't separate them. But if ur looking for m, it is m = 9/5n...and if ur looking for n, it is n = 9/5m

15. 118j - 234j = 234

   - 116j = 234

    j = -234/116 reduces to - 117/58

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Dmitry [639]

Answer:

Rounding to nearest hundredths gives us r=0.06.

So r is about 6%.

Step-by-step explanation:

So we are given:

A=P(1+r)^t

where

A=2300

P=1600

t=6.

A=P(1+r)^t

2300=1600(1+r)^6

Divide both sides by 1600:

\frac{2300}{1600}=(1+r)^6

Simplify:

\frac{23}{16}=(1+r)^6

Take the 6th root of both sides:

\sqrt[6]{\frac{23}{16}}=1+r

Subtract 1 on both sides:

\sqrt[6]{\frac{23}{16}}-1=r

So the exact solution is r=\sqrt[6]{\frac{23}{16}}-1

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I'm going to put my value for r into my calculator.

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4 years ago
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3 years ago
A delivery truck driver charges a fixed base price of $6 for 2 miles.
stiv31 [10]

Answer:

Option B.

Step-by-step explanation:

It is given that a delivery truck driver charges a fixed base price of $6 for 2 miles.

After 2 miles, he charges an additional $2 for every mile and after 6 miles, he charges an additional $4 for every mile.

We need to describe the cost of the delivery truck between 1 mile and 2 miles.

In the given graph x-axis represents the distance in miles and y-axis represents the cost in dollars.

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It means the cost of the delivery truck between 1 mile and 2 miles is constant.

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If y was directly proportional to x, the graph of y against x would pass through the origin (O).

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