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kari74 [83]
2 years ago
8

Whats this ? 3/5x+1/4x=34

Mathematics
1 answer:
Amanda [17]2 years ago
8 0

This is an equation.

<h2><em><u>Solution</u></em><em><u>:</u></em><em><u>-</u></em></h2>

\frac{3}{5} x+  \frac{1}{4} x = 34 \\ ⇒ \frac{15x + 5x}{20}  = 34 \\ ⇒ \frac{20x}{20}  = 34  \\ ⇒ x = 34

<em>Hence</em><em>,</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>34</em><em>.</em>

<h2><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em></h2>

<em>Hope</em><em> </em><em>It</em><em> </em><em>Helps</em><em> </em><em>Uh</em><em>!</em><em> </em><em>❤</em>

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3 years ago
Sarah is driving. Her distance in km from Tempe after t hours of driving is given by: x = D(t) = 13 + 57t
777dan777 [17]

Answer:

The solutions for your four question problem are:

a) t = D^-1(x) =  (1/57)*x -(13/57)

b) t = D^-1(x) =  1 h

c) D^-1(x) represents time.

d) The number of hours of driving needed for Sarah to be x km from Tempe. (option (c))

Step-by-step explanation:

a) Determine a formula in terms of x for: t = D^-1(x)

The distance in km from Tempe after t hours of driving is given by

x = D(t) = 13 + 57t.

We just need to find the value  t function of x

x = 13 + 57*t

x -13 =  57*t

57*t  = x -13

t = (1/57)*x -(13/57)

We can see the plots of both equation in the picture below.

b) Compute D^-1(70)

Once we find the expression for D^-1(x)

We substitute for x = 70 km

t = D^-1(x) =  (1/57)*x -(13/57)

t = D^-1(x) =  (1/57)*(70) -(13/57)

t = D^-1(x) =  (70/57) -(13/57)

t = D^-1(x) =  (1.228) -(0.228)

t = D^-1(x) = 1 h

c) In the expression D^-1(x) :  what quantity (distance or time) does the x represent?  what quantity (distance or time) does the entire D^-1(x) represent?

x represents Distance in both equations (D(t), and D^-1(x))

t represents Time in both equations (D(t), and D^-1(x))

Since t = D^-1(x),

D^-1(x) represents time.

d) Which of the following statements best describes D^-1(x)?

The number of hours of driving needed for Sarah to be x km from Tempe.

Since, t = D^-1(x), and t represents the amount of time elapsed since Sarah, parted from Tempe, the correct answer is option (c)

The expression for D^-1(x) can be found in the previous answers

t = D^-1(x) =  (1/57)*x -(13/57)

The input is x (distance) and the output is t (time)

6 0
3 years ago
Please help me on this ! only the circled ones btw.
timurjin [86]
Knobibibuvuguguvuhhh
3 0
3 years ago
3/5 + -1/5 ÷ 1/4 ÷ -1/3​
aleksandr82 [10.1K]

Answer:3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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