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Lostsunrise [7]
3 years ago
13

Solve the following-5x + 3 = 2x - 1

Mathematics
2 answers:
ale4655 [162]3 years ago
3 0

Answer:

4/7

Step-by-step explanation:

Let's start by moving like terms to one side. Remember that when you change the side of a term, the sign flips.

-5x-2x=-3-1

-7x=-4

Divide both sides by -7

x=4/7

Andrei [34K]3 years ago
3 0

I think the answer is........

-5x+3=2x-1

-5x-2x=-1-3

-7x= -4

-7x/-7=-4/-7

x=4/7

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Solve:<br> -3/4+p=1/2<br> Thank you so much!
shepuryov [24]

-3 / 4 + p = 1/2

LCD 4 and 2 = 4

Multiply by LCD = 4

p. (4)- 3/4 .( 4 ) = 1/2.(4)

4 p - 3 = 2

Add 3 to both sides:

4 p - 3 + 3 = 2 + 3

4 p = 5

Divide both sides by 4 :

4p / 4 =  5 /4

p = 5/4

3 0
3 years ago
The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, wha
elena55 [62]

Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92

The 90th percentile score is nothing but the x value for which area below x is 90%.

To find 90th percentile we will find find z score such that probability below z is 0.9

P(Z <z) = 0.9

Using excel function to find z score corresponding to probability 0.9 is

z = NORM.S.INV(0.9) = 1.28

z =1.28

Now convert z score into x value using the formula

x = z *σ + μ

x = 1.28 * 92 + 1028

x = 1145.76

The 90th percentile score value is 1145.76

The probability that randomly selected score exceeds 1200 is

P(X > 1200)

Z score corresponding to x=1200 is

z = \frac{x - mean}{standard deviation}

z = \frac{1200-1028}{92}

z = 1.8695 ~ 1.87

P(Z > 1.87 ) = 1 - P(Z < 1.87)

Using z-score table to find probability z < 1.87

P(Z < 1.87) = 0.9693

P(Z > 1.87) = 1 - 0.9693

P(Z > 1.87) = 0.0307

The probability that a randomly selected score exceeds 1200 is 0.0307

5 0
3 years ago
The second hand of a clock makes a full revolution once every minute. What is its angle of rotation after 20 seconds? After 45 s
nikklg [1K]
360/60 = 6

6 degrees every second

6*20 = 120 degrees


120 degrees after 20 seconds


6 * 45 = 270

270 degrees after 45 seconds


Hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
3 years ago
Boating: A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph, how long will i
Lostsunrise [7]

The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

  • A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
  • how long will it take the boat to travel 36 miles downstream and 36 miles upstream?

The time taken by the boat upstream will be calculated as:-

( B + W ) Td = D

( 12 + 3 ) Td = 32

( 15 ) Td = 32

Td = 32 / 15 = 2.1 hours

The time taken by the boat downstream will be calculated as:-

( B - W ) Tu = D

( 12 - 3 ) Tu = 32

9 Tu = 32

Tu = 32 / 9 = 3.56 hours.

Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

4 0
2 years ago
How do I find and interpret slope​
user100 [1]
If there’s a graph, draw a triangle and do rise/run.
If there are two given points use formula: (y2-y1)/(x2-x1) to find slope
8 0
3 years ago
Read 2 more answers
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