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Step2247 [10]
3 years ago
6

URGENT, PLASE HELP! 10pts

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

m(-1)^n - 1

Step-by-step explanation:

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Tyler and Pearl went on a 20km bike ride that lasted for 3 hours. Because of steep hills or the trail, they walked for most of t
noname [10]

Answer: 1 hour


Step-by-step explanation:

Let the distance they walked be d_1 in time t_1 and the distance they walked be d_2 in time t_2 ,then

Walking speed=\frac{d_1}{t_1}=4

\\\Rightarrow\ d_1=4t_1

Riding speed=\frac{d_2}{t_2}=12

\\\Rightarrow\ d_2=12t_1

Also the total time taken=3 hours

∴t_1+t_2=3\\\Rightarrow\ t_2=3-t_1...(1)

Since the total distance= 20 km

∴d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1

Thus, the they spent 1 hour time in walking.

7 0
3 years ago
Find the equation of the line that is parallel to the line 3x - y = 2<br> and passes through (6,5).
mojhsa [17]

y=3x-13 is equation of the line that is parallel to the line 3x - y = 2

and passes through (6,5).

5 0
3 years ago
£980 is divided between Caroline, Sarah &amp; Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as
Nitella [24]

Sarah has received £ 294

<u><em>Solution:</em></u>

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

<em><u>Caroline gets twice as much as Sarah</u></em>

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

<em><u>Sarah gets three times as much as Gavyn</u></em>

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

<em><u>Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"</u></em>

From eqn 2,

g = \frac{s}{3}  --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294

Thus sarah has received £ 294

7 0
3 years ago
Victoria has a jewelry box shaped like a rectangular prism! Please help!!
Klio2033 [76]

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

6 0
3 years ago
The equation
Soloha48 [4]

Answer:

9 weeks

Step-by-step explanation:

5w+16=61

Subtract 16 from both sides of the above equation.

5w+16-16=61-16

5w = 45

w = 9

8 0
3 years ago
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