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gavmur [86]
3 years ago
12

4.

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

A.) x / 3 = 12      ----> x = 12(3)   ----><em> </em><em>x = 36</em>

B.) 2x + 3 = 20  ----> 2x = 17 ----> x = 17/2

C.) 4/3x = 10/3 ----> x = 10/3 x 3/4 ----> x = 30/12 = 5/2

D.) -4x = -24 ----> x = -24/-4 ----> x = 6

E.) 2(x-4) = 10 ----> 2x - 8 = 10 ----> 2x = 18 ----> x = 9

F.) -0.5x + 1.1 = -2.9 ----> -0.5x = -4 ---> x = -4 / -0.5 ----> x = 8

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Answer:

The flow rate is 138.95 mL per hour.          

Step-by-step explanation:

We are given the following in the question:

Volume of solution = 2.64 L

1 L = 1000 mL

Volume of solution in mL =

2.64\times 1000 = 2640\text{ ml}

Time period = 19 hour

Unit rate of flow =

=\dfrac{\text{Volume}}{\text{Time period}}\\\\=\dfrac{2640}{19}\\\\=138.95\text{ mL per hour}

Thus, the flow rate is 138.95 mL per hour.

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For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Find the slope and y-intercept of the data
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Answer:

slope: 5

y-intercept: 3

therefore y=5x+3

Step-by-step explanation:

the slope is the value that is changing; as time passes the price increases by $5 per hour

the y-intercept is where the function crosses the y-axis (when x is 0); so when no time has passed.

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3 years ago
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Which steps should be taken to solve the equation
Leviafan [203]

Answer:

Remove 1 x-tile from both sides.

Remove 3 unit tiles from both sides.

Step-by-step explanation:

2x + 3 = x + 5

First we want all the variables on one side

Subtract x from each side so Remove 1 x-tile from both sides.

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Now we need to get all the constants on the same side

Subtract 3 from each side so Remove 3 unit tiles from both sides.

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lys-0071 [83]

Answer:

See below.

Step-by-step explanation:

The rocket's  flight is controlled by its initial velocity and the acceleration due to gravity.

The equation of motion is h(t) = ut + 1.2 g t^2 where  u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.

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h(t) = 64t - 16t^2.

(b) The graph will be a parabola which opens downwards  with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).

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Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.

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