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LUCKY_DIMON [66]
3 years ago
15

Dina and Masha started out on a 12 mi bike path at the same time. When Dina reached the end of the 12 mi, Masha still had 3 mi l

eft to bike. If Dina’s biking speed is 8 mph, find Masha’s biking speed.
Mathematics
2 answers:
andrew11 [14]3 years ago
7 0

Answer:

6mph

Step-by-step explanation:

Anna35 [415]3 years ago
6 0

Answer:

6 mph

Step-by-step explanation:

Use formula

D=r\cdot t,

where

D = distance

r = rate

t = time

In your case,

D = 12 mi

<u>Dina:</u>

D = 12 mi

r = 8 mph

t = ?

So,

12=8t\\ \\t=\dfrac{12}{8}=\dfrac{3}{2}=1.5\ hours

<u>Masha:</u>

D = 12 - 3 = 8 mi

r = ?

t = 1.5 hours

Then

9=1.5r\\ \\r=\dfrac{9}{1.5}=\dfrac{90}{15}=6\ mph

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Joshua scored the same number of points in each of his last 3 basketball games. He
Arte-miy333 [17]

Answer:

24

Step-by-step explanation:

Let x be the points he scored in his best game. x-8 would then represent each of his last 3 games.

(x-8)*3 = 2x

3x-24=2x

x=24

7 0
3 years ago
The explicit rule for a sequence is given. an=4n−1 What is the recursive rule for the sequence?
Gnom [1K]

Answer:

a_{n+1}=a_n+4

Step-by-step explanation:

Have in mind the definition of the term a_n=4\,n-1, and now work on what the term a_{n+1} is based on the previous definition:

a_{n+1} = 4\,(n+1)-1\\a_{n+1}=4\,n+4-1

In the next step do NOT combine the numerical values, but try to identify the a_n term (4\,n-1) in the expression (notice the use of square brackets to group the relevant terms):

a_{n+1}=4\,n+4-1\\a_{n+1}=[4\,n-1]+4\\a_{n+1}=a_n+4

So now we have the term "a_{n+1}" defined in a recursive manner based on the previous term "a_n"

8 0
3 years ago
An acre of land planted with sugar beet produces 550 gallons of ethanol from the sugar by fermentation. A car converted to run o
valkas [14]

Answer:

Step-by-step explanation:

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4 0
3 years ago
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
lubasha [3.4K]

Answer:

The answer is option C.

<h3>-6, -5 2/5, -4 1/5</h3>

Step-by-step explanation:

The arithmetic sequence is given by

A(n) =  - 6 + (n - 1)( \frac{1}{5} )

where n is the number of terms

<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>

n = 1

So we have

A(1) =  - 6 + (1 - 1)( \frac{1}{5} )

=  - 6 + (0)( \frac{1}{5} )

=  - 6

<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>

n = 4

A(4) =  - 6 + (4 - 1)( \frac{1}{5} )

=  - 6 + (3)( \frac{1}{5} )

=  - 5 \frac{2}{5}

<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>

n = 10

A(10) =  - 6 + (10 - 1)( \frac{1}{5} )

=  - 6 + (9)( \frac{1}{5} )

=  - 4 \frac{1}{5}

Hope this helps you

4 0
3 years ago
In which atmosphere layer do humans live most of their lives?
icang [17]

Answer:

Troposphere

Step-by-step explanation:

We humans live in the troposphere, and nearly all weather occurs in this lowest layer. Most clouds appear here, mainly because 99% of the water vapor in the atmosphere is found in the troposphere.

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