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4 years ago

Solve the equation below for x. -1 2(3x - 4) = 11

2 answers:

7 0

If the -1 is not included, then your answer is 3.17.

2(3x-4)=11

3x2=6 and -4x2= -8

6x-8=11

+8 +8

6x=19

/6 /6

X= 3.17

vovangra [49]4 years ago

3 0

If the -1 not included, then your answer is 3.17.

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Someone solve these equations with working really appreciate it

nignag [31]

Answer:

a) $t = \sqrt{\frac{d}{4.9} }$

b) t = 0.3 seconds

c) d = 4.9t²

d) d = 11 cm.

Step-by-step explanation:

One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula

$t = \sqrt{\frac{2d}{9.8} }$ .......... (1)

a) the simplified expression is

$t = \sqrt{\frac{d}{4.9} }$ ......... (2)

b) If d = 44 cm = 0.44 meters, from equation (2) we get,

t = 0.299 seconds ≈ 0.3 seconds (Approximate)

c) If we make d as the subject of the equation, then

$t^{2} = \frac{d}{4.9}$

⇒ d = 4.9t² .......... (3)

d) Now, if $t = \frac{0.3}{2} = 0.15$ seconds, then from equation (3) we get,

d = 4.9 (0.15)² = 0.11 meters = 11 cm (Answer)

4 0

3 years ago

Pam can run four laps around the track in 330 sec. Patrick can run two laps around the track in 180 sec. which person. Runs the

Aleonysh [2.5K]

Patrick because he can run 1 lap in 90 seconds

3 0

4 years ago

You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in

ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

P * r * t = I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:

P * r * t = I

Acct 1 x .04 1

Acct 2 1500-x .05 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

P * r * t - I

Acct 1 x .04 1 .04x

Acct 2 1500-x .05 1 .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0

3 years ago

Gordon types 2,184 words in 28 minutes. Find the unit rate. Gordon types ________ words per minute.

pashok25 [27]

Answer:

Step-by-step explanation:

$\frac{2184 words}{28 minutes} = \frac{78 words}{1 minute}$

4 0

3 years ago

Read 2 more answers

A city planner is considering adding a pedestrian crossing signal to a particular intersection. They know that on average 11.5 c

Vlad1618 [11]

Answer:

The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5

and the PMF of X is;

P (X = x) = e^-λ ( λˣ / x! ); where x = 0, 1, 2, 3, , , , , ,

Step-by-step explanation:

Given that;

on average eleven and a half cars go through the intersection each minute and It takes an average person ten seconds to walk across the intersection.

Therefore

The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5

and the PMF of X is;

P ( X = x ) = e^-λ ( λˣ / x! ) ;

where x = 0, 1, 2, 3, , , , , ,

8 0

3 years ago