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igomit [66]
3 years ago
13

Andrew spends every Saturday at the gym working out. He can complete 1/12 of his workout in 1/6 of an hour. If he continues at t

his rate, how much of his workout does Andrew complete per hour?
100 points

Please answer in a full sentence and show all work
Mathematics
2 answers:
Mariana [72]3 years ago
7 0

Answer:

he completes 1/2 of the workout in a hour

Step-by-step explanation:

1/6 x 12 = 2

2 hours

2 hours to complete the whole workout.

he completes 1/2 of the workout in a hour

Citrus2011 [14]3 years ago
6 0

Answer:

½ workout in an hour

Step-by-step explanation:

Workout : hours

1/12 : 1/6

X : 1

X/1 = (1/12)/(1/6)

X = 1/12 × 6

X = 6/12

X = 1/2

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A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 5 seconds?
garri49 [273]

Answer:

90 m

Step-by-step explanation:

65 km = 65000m

1 hour = 3600 secs

speed in meters = 65000/3600

= 18 m / sec

Distance traveled in 5 secs = 18*5

= 90 m

5 0
3 years ago
Grade 8 math question plz show work
Nimfa-mama [501]
A. The population would be 120

You would find 20 percent of 100
To do that, you do 100× 0.2 and add that to 100

B. The population doubles

10×2= 20
20×2= 40, not 30

hope this helps!
6 0
3 years ago
Convert 6 kilometers to yards
NISA [10]
1 km=1093.61yards

6 km= 6*1093.61yards
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Answer= 6561.66 yards
7 0
3 years ago
Solve The Equation <br> 4x×9y=7<br> 4x-9y=9
hoa [83]

Answer:

\large\boxed{x=\dfrac{9}{8}-\dfrac{\sqrt{109}}{8},\ y=-\dfrac{1}{2}-\dfrac{\sqrt{109}}{18}}\\or\\\boxed{x=\dfrac{9}{8}+\dfrac{\sqrt{109}}{2},\ y=-\dfrac{1}{2}+\dfrac{\sqrt{109}}{18}}

Step-by-step explanation:

\left\{\begin{array}{ccc}4x\times9y=7&(1)\\4x-9y=9&(2)\end{array}\right\\\\(2)\\4x-9y=9\qquad\text{subtract}\ 4x\ \text{from both sides}\\-9y=-4x+9\qquad\text{change the signs}\\9y=4x-9\qquad\text{substitute it to (1)}\\\\4x(4x-9)=7\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\(4x)(4x)+(4x)(-9)=7\\(4x)^2-36x=7\\(4x)^2-2(4x)(4.5)=7\qquad\text{add}\ 4.5^2\ \text{to both sides}\\(4x)^2-2(4x)(4.5)+4.5^2=7+4.5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2

(4x-4.5)^2=7+20.25\\(4x-4.5)=27.25\to 4x-4.5=\pm\sqrt{27.25}\\\\4x-\dfrac{45}{10}=\pm\sqrt{\dfrac{2725}{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{2725}}{\sqrt{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25\cdot109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25}\cdot\sqrt{109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{5\sqrt{109}}{10}\qquad\text{add}\ \dfrac{45}{10}\ \text{to both sides}\\\\4x=\dfrac{45}{10}\pm\dfrac{5\sqrt{109}}{10}

4x=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 4}\\\\x=\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\\\\\text{Put the values of}\ x\ \text{to (2):}\\\\9y=4\left(\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\right)-9\\\\9y=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}-\dfrac{18}{2}\\\\9y=-\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 9}\\\\y=-\dfrac{1}{2}\pm\dfrac{\sqrt{109}}{18}

8 0
3 years ago
PLEASE HELP QUESTION ATTACHED
Bess [88]
Point S is the answer 

move -2.25 on the x axis and 2/3 on the y form the origin

3 0
3 years ago
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