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3 years ago

Solve: -4 (x + 6) + 2 ( x -2) Show your work

Mathematics

2 answers:

Lorico [155]3 years ago

7 0

Answer:

Please see explanation.

Step-by-step explanation:

-4(x+6) + 2(x-2) First, distribute the -4 to x+6

-4x - 24 + 2(x-2) Now distribute the 2 into x-2

-4x - 24 + 2x - 4 Combine like terms

-4x + 2x - 24 - 4

-2x - 28 This might be your answer but if you are looking for what x is equal to then keep following along.

If you are solving for x then most likely the equation says that it is equal to zero

-2x - 28 = 0 Add 28 to both sides

-2x = 28 divide both sides by -2

x = -14

anastassius [24]3 years ago

6 0

Answer:

-2x - 28

Step-by-step explanation:

-4(x+6) +2 (x-2) Distribute the -4 to (x+6) and the 2 to (x-2):

-4x - 24 + 2x - 4 Combine like terms -4 + 2x and -24-4:

-2x - 28

Hope this helped :)

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Kaley's family drove to DisneyLand for spring break. Her mom and dad shared the driving duties for a total of 24 hours. Her mom

qaws [65]

Answer:

Mom drove for 18 hours.

Dad drove for 6 hours.

Step-by-step explanation:

Given that:

Number of hours for the driving duty = 24 hours

Speed at which the mom drove = 75 miles per hour

Speed at which the dad drove = 60 miles per hour

Total distance driven by both of them = 1710 miles

To find:

Number of hours for which each person drive for ?

Solution:

Let number of hours driven by dad = $x$ hours

Let number of hours driven by mom = (24 - $x$ ) hours

Let us have a look at the formula for Distance in terms of Speed and Time.

$Distance = Speed \times Time$

Distance traveled by Mom = $75 \times x =75x \ miles$

Distance traveled by dad = $60(24-x) =144-60x$ miles

As per question statement:

$75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours$

So, Mom drove for 18 hours.

Dad drove for 6 hours.

3 0

3 years ago

Simplify the equation 10f(f+7)

finlep [7]

10f^2+70f hope this helps..

8 0

3 years ago

The perimeter of a rectangle is 60ft. The length of the rectangle is three times the width. Find the dimensions of the rectangle

spayn [35]

Hope this makes since

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2 years ago

The probability that a single radar station will detect an enemy plane is 0.65.

taurus [48]

Answer:

a) We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

b) If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

Step-by-step explanation:

For each station, there are two two possible outcomes. Either they detected the enemy plane, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem, we have that:

The probability that a single radar station will detect an enemy plane is 0.65. This means that $n = 0.65$ .

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

This is the value of n for which $P(X = 0) \leq 0.02$ .

n = 1.

$P(X = 0) = C_{1,0}.(0.65)^{0}.(0.35)^{1} = 0.35$

n = 2

$P(X = 0) = C_{2,0}.(0.65)^{0}.(0.35)^{2} = 0.1225$

n = 3

$P(X = 0) = C_{3,0}.(0.65)^{0}.(0.35)^{3} = 0.0429$

n = 4

$P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015$

We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane?

The expected number of sucesses of a binomial variable is given by:

$E(x) = np$

So when $n = 7$

$E(x) = 7*(0.65) = 4.55$

If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

6 0

2 years ago

Don’t understand the problem, need help ASAP!

Sonja [21]

Coordinates
A=(-2,1)
B=(-3,4)
C=(-6,3)
Its not your fault

6 0

2 years ago

Read 2 more answers