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2 years ago

Which expression is equivalent to 9 p minus 3 p + 2? 8p 14p 6 p + 2 9 p minus 1

Mathematics

2 answers:

tankabanditka [31]2 years ago

7 0

Your answer is c.

Step-by-step explanation: Let’s say P is worth 1: 9 times 1 equals 9: 3 times 1 equals 3: 9 - 3 = 6/ 6 + 2 equals 8. Now this is C: 6 times 1 equals 6/ 6+ 2 = 8

zaharov [31]2 years ago

3 0

Answer: 6p+2

Step-by-step explanation:

The problem is 9p-3p+2, so if you add the like terms of 9p and -3p, then the expression simplifies to 6p+2

You might be interested in

A 15-minute TV program consists of one commercial of 1

Margarita [4]

Answer:

6 7/8 minutes

Step-by-step explanation:

Say the entertainment segments are each x minutes long. Then, we have the equation:

x + x + 1 1/4 = 15

2x + 1 1/4 = 15

2x = 15 - 1 1/4

We need a common denominator. 1 1/4 = 5/4 and 15 = 60/4, so we now have:

60/4 - 5/4 = 55/4. Then: 2x = 55/4

Divide by 2 from both sides:

(55/4) / 2 = 55/8 = 6 7/8

Thus, each entertainment segment is 6 7/8 minutes long.

Hope this helps!

7 0

2 years ago

Read 2 more answers

Solve using the pathagorean theorem

REY [17]

Answer:

b=45^1/2

Step-by-step explanation:

$a^2+b^2=c^2\\6^2+b^2=9^2\\b^2=81-36\\b^2=45\\b=\sqrt{45}$

4 0

1 year ago

If x and y in the equations

Brums [2.3K]

We can let
a = 1/(x-1)
b = 1/(y+2)
and rewrite the equations as
2a - b = 10
a + 3b = -9
Using the first to write an expression for b, we get
b = 2a - 10
Substituting this into the second equation gives
a + 3(2a -10) = -9
7a -30 = -9 . . . . . . . . simplify
7a = 21 . . . . . . . . . . .add 30
a = 3
b = 2·3 - 10 = -4

Now, we can find x and y.
   3 = 1/(x -1)
   x - 1 = 1/3
   x = 1 1/3 = 4/3

  -4 = 1/(y +2)
  y +2 = -1/4
  y = -2 1/4 = -9/4

Then the desired sum is
  x + y = 4/3 -9/4 = (16 -27)/12
x + y = -11/12

The appropriate choice is ..
c. -11/12

5 0

2 years ago

A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex

kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

$325 mg + 2mg+15 mg=342 mg$

The percentages of each component in the formula are:

Acetaminophen: $\frac{325mg*100}{342mg}=95.03$ %

Chlorpheniramine maleate: $\frac{2mg*100}{342mg} =0.58$ %

Dextromethorphan hydrobromide: $\frac{15mg*100}{342mg}=4.39$ %

If 1 Kg= $10^{6}$ mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

$\frac{10^{6} mg *0.58}{95.03}=6153.85 mg$

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

$\frac{10^{6}mg*100}{95.03}=1052307.7mg$

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

$\frac{1052307.7mg}{342mg}=3076.923$

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0

2 years ago

Paul deposits $4000 in a bank which pays a compound interest

yawa3891 [41]

Answer: He will have 3,200 in 5 years.

Step-by-step explanation: This is because 4% of $400 is 160, and if you multiply that by 5 you get 800, then you just subtract that from the total amount and you get your final answer.

5 0

2 years ago