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guapka [62]
2 years ago
8

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Mathematics
2 answers:
USPshnik [31]2 years ago
8 0
Add 7 to both sides of the equation so the 2nd step would be
3p-7+7 +p=13+7
gulaghasi [49]2 years ago
5 0
3p-7+p=13 ok so you will want to add 3p to 1p if there's only a variable then there a invisible 1 in front of it so you'll add 3 to 1 wich is 4 so now your problem Is now 4p-7=13 you then make the negative 7 to a positive 7 so now your going to add 13+7 wich equals 20 now you divide 20 by 4 wich gives you 5
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Given right triangle ABC which of the following statements must be true? Check all that apply.
Pachacha [2.7K]

Answer:

Option A. <A and <B are complementary angles

Option D. Sin(C)=Cos(90\°-C)

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

Sin(C)=Cos(A)

Cos(C)=Sin(A)

Remember that

A=90\°-C

so

Sin(C)=Cos(90\°-C)

Cos(C)=Sin(90\°-C)

5 0
2 years ago
PQ=2x+1 and QR=5x-44; Find PR
Dima020 [189]

Answer:

x=15

Step-by-step explanation:

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

4 0
2 years ago
Tickets to a musical cost $30 for adults and $12 for children. At one particular performance 960 people attended and $19 080 was
postnew [5]
In order to solve this, you have to set up a systems of linear equations.

Let's say that children = c and adults = a

30a + 12c = 19,080
a + c = 960

I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.

   a + c = 960 
       - c    -    c
 ---------------------- ⇒ Step 1: Solve for either a or c in either equation.
   a = 960 - c 



20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
   19,200 - 8c = 19,080
 - 19,200         - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
         8c = -120                    into the opposite equation.                                                
       ------  ---------
          8         8
 
         c = -15



30a + 12(-15) = 19,080
   30a - 180 = 19,080
          + 180  +     180
 -------------------------------
   30a = 19,260
  -------   -----------
    30          30
     
       a = 642
__________________________________________________________

I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong. 


7 0
2 years ago
Read 2 more answers
Round 21,253 to the nearest hundred.
Mazyrski [523]

Answer:

Hey there! The answer to your question is 21,300

Step-by-step explanation:

If we look at the 253 it is most close to 300 not 200 so the answer will be 21,300

Hope that helps!

By: xBrainly

6 0
2 years ago
The graph shows the solution to the initial value problem y'(t)=mt, y(t0)= -4
Charra [1.4K]
y'(t)=mt&#10;\\&#10;\\ y=\int {mt} \, dt=m \int{t} \,dt=m \frac{t^2}{2} +C \\ \\y= \frac{mt^2}{2}+C

Now find equation of the graph. It passes through the point (2,3), and intersects y-axis at -2.

y=at^2+b&#10;\\&#10;\\3=a\times 2^2-2&#10;\\&#10;\\3=4a-2&#10;\\&#10;\\5=4a&#10;\\&#10;\\a= \frac{5}{4} &#10;\\&#10;\\y=\frac{5}{4} t^2-2 \\ \\y= \frac{m}{2} t^2+C&#10;\\ \\  \frac{m}{2} = \frac{5}{4} &#10;\\&#10;\\m= \frac{5}{2} &#10;\\&#10;\\C=-2&#10;\\&#10;\\y(t_0)=-4&#10;\\&#10;\\-4= \frac{5}{4} t_0^2-2&#10;\\&#10;\\ -2= \frac{5}{4} t_0^2&#10;\\&#10;\\ t_0^2=- \frac{8}{5} &#10;\\&#10;\\t_0=\pm \sqrt{- \frac{8}{5} }



3 0
2 years ago
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