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makkiz [27]
2 years ago
12

Which value for x makes the sentence true? 2/3x=8/9

Mathematics
1 answer:
9966 [12]2 years ago
3 0

Answer: D

Step-by-step explanation:

The goal is to isolate 'x'. If you apply an operation to both sides of an equation, it does not change the equality. If you multiply both sides of the equation by 3/2, then the 2/3 on the left-side will cancel leaving the following:

x=\frac{8}{9} *\frac{3}{2}

When multiplying fractions, you simply multiply through and through. Therefore the above equation becomes:

x=\frac{24}{18}

The fraction can be simplified by dividing the top and bottom by 6, to get

x=\frac{4}{3}

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The mountain trail at Tanner Park is 8 miles long traveling to the top of the mountain and back. Grayson is making his way back
AnnZ [28]

Answer:

Speed of hike = 1.7 miles per hour

Step-by-step explanation:

Given:

Total distance = 8 miles

Distance already traveled = 4.6 miles

Total time remain to travel  = 2 hour

Find:

Speed of hike

Computation:

Distance remain = Total distance - Distance already traveled

Distance remain = 8 miles - 4.6 miles

Distance remain = 3.4 miles

Speed of hike = Distance remain / Total time remain to travel

Speed of hike = 3.4 / 2

Speed of hike = 1.7 miles per hour

5 0
3 years ago
I need help on this..... can anyone help me?
galben [10]

Answer and step-by-step explanation:

Tim Carter money made:

First 40 hours = 40 * pay per hour = 40 * 5.15 = $206 (weekly pay)

Because he works for 50 hours so next 10 hours (50-40) = 10 * (1.5*5.15)

= 10* 7.725 = $77.25

Total money he made:

= 206 + 77.25 = $283.25

Jeese Jones money amde:

First 40 hours = 40 * pay per hour = 40 * 5.15 = $206 (weekly pay)

Because he works for 47.5 hours so next 7.5 hours (47.5-40) = 7.5 * (1.5*5.15)

= 7.5 *7.725 = $57.9375

Total money Jeese Jones made:

= 206 + 57.9375 = $263.9375

Barbara Burns money made:

First 40 hours = 40 * pay per hour = 40 * 5.15 = $206 (weekly pay)

Because Barbara Burns works for 44 hours so next 4 hours (44-40) = 4 * (1.5*5.15)

= 4* 7.725 = $30.9

Total money Barbara Burns made:

= 206 + 30.9 = $236.9

Hope this help you :3

6 0
3 years ago
The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is
WARRIOR [948]

Answer:

s(t) = -4.9t² + 39.2t

Step-by-step explanation:

Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²

Given

g = -4.9m/s²

v0 = 39.2m/s

s0 = 0m (the initial height)

On substituting into the formula;

s(t) = gt² + v0t + s0

s(t) = -4.9t² + 39.2t + 0

s(t) = -4.9t² + 39.2t

This gives the equation that models the height

4 0
2 years ago
2x-1/3x+1=6x-1/9x-3​
shtirl [24]
The answer is x=3

So c is 3
6 0
3 years ago
Differentiating a Logarithmic Function In Exercise, find the derivative of the function.
devlian [24]

Answer:

Dy/Dx=x ( 2 ln ( x ) − 1 )/ ln ^2 ( x)

Step-by-step explanation:

We have this function and let's derive it in terms of x.

y =x^2/In x

Dy/Dx=(x^2/In x)'=2/lnx *(x^2)'-(x^2/In x)'=> 2 x *ln ( x ) − x *ln ^2 ( x ) =x ( 2 ln ( x ) − 1 )/ ln ^2 ( x)

7 0
3 years ago
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