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yan [13]
3 years ago
15

starting at home, nadia traveled uphill to the grocery store for 30 minutes at just 4 mph. she then traveled back home along the

same path downhill at a speed of 12 mph.what is her average speed for the entire trip from home to the grocery store and back?
Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0

Answer:

Distance from home to store = 4 * 0.5 = 2 miles.

Time taken to return home = (2/12) * 60 =10 minutes.

Total distance traveled = 2 * 2 = 4 miles.

Total time taken = 30 + 10 = 40 minutes.

Average speed for entire trip = total distance / total time in hours.

Step-by-step explanation:

ankoles [38]3 years ago
3 0
Distance from home to store = 4 * 0.5 = 2 miles.
Time taken to return home = (2/12) * 60 =10 minutes.
Total distance traveled = 2 * 2 = 4 miles.
Total time taken = 30 + 10 = 40 minutes.
Average speed for entire trip = total distance / total time in hours.
Average\ speed=\frac{4}{\frac{40}{60}}=\frac{4\times60}{60}=6\ mph
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What set of transformations is performed on triangle RST to form triangle R’S’T’?
ra1l [238]

Answer:

D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

The given triangle has vertices at R(3,4), S(1,1), and T(5,1)

Translating the the vertices down by 2 units, we apply the rule;

(x,y)\to (x,y-2)

\implies (3,4)\to (3,2)

\implies (1,1)\to (1,-1)

\implies (5,1)\to (5,-1)

Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:

(x,y)\to (x,-y)

\implies (3,2)\to R'(2,-3)

\implies (1,-1)\to S'(-1,-1)

\implies (5,-1)\to T'(-1,-5)

Therefore the correct choice is D.

4 0
3 years ago
Solve the following system of equations by substation.
Cerrena [4.2K]

Answer:

C. (-1, 3)

Step-by-step explanation:

Label the 2 equations:

5y= 7x +22 -----(1)

x= -6y +17 -----(2)

Substitute (2) into (1):

5y= 7(-6y +17) +22

5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>

5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>

42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

47y= 141

y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 3

Substitute y= 3 into (2):

x= -6(3) +17

x= -18 +17

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Thus, the solution is (-1, 3).

7 0
2 years ago
Solve following | 2x + 9 = 15
vivado [14]
  • Answer:

<em>x₁ = 3</em>

<em>x₂ = - 12</em>

  • Step-by-step explanation:

<em>Hi there ! </em>

<em>| 2x + 9 | = 15</em>

<em>1.</em>

<em>2x + 9 = 15</em>

<em>2x = 15 - 9</em>

<em>2x = 6</em>

<em>x = 6 : 2</em>

<em>x₁ = 3</em>

<em>2.</em>

<em>2x + 9 = - 15</em>

<em>2x = - 15 - 9</em>

<em>2x = - 24</em>

<em>x = - 24 : 2</em>

<em>x₂ = - 12</em>

<em>Good luck ! </em>

4 0
3 years ago
A magazine subscription costs $29.88 for 12 issues or $15.24 for 6 issues. Which subscription costs more per issue? How much mor
Valentin [98]

Answer:

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Step-by-step explanation:

Since $15.24 is 6 issues each and you need to even out the issues add $15.24+$15.24 then you would get $30.48, because its 15.24 each 6 add them both and it would be 12 issues. And the first issue $29.88 for 12 issues is  only $29.88 while the other is $30.48 so the one with 6 issues/the second cost more than the first.

60 cents more because 29.88+60=30.48.

3 0
3 years ago
The graph shows the number of points, y, a player earns in a balloon game
Lilit [14]
Y = 25x
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(25-0)/(1-0)=25
No b value in y=mx+b because the origin is at 0.
8 0
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