1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mars1129 [50]
3 years ago
13

-40-8b=-6(1+7b) what’s the answer

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

\text{Hey there!}

\mathsf{-40-8b=-6(1+7b)}\\\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}\\\mathsf{-40-8b=-6(1+7b)}

\mathsf{Distribute\ the\ RIGHT\ side\ of\ the\ equation }\\\mathsf{Distribute [the\ formula\ is: a(b+c)=a(b)+a(c)=ab+ac]}\\\mathsf{-6(1)+(-6)}(7b)\\\mathsf{-6(1)=-6}\\\mathsf{-6(7b)=-42b}\\\mathsf{\rightarrow\ =-6+(-42b)}

\mathsf{-40-8b=-6+(-42b)}\\\mathsf{\rightarrow -8b-40=-42b-6}

\mathsf{ADD\ by\ 42b\ on\ your\ sides}\\\mathsf{-8b-40+42b=-42b-6+42b}\\\mathsf{SOLVE\ above\ correct\ to\ get\ us\ to\ the\ next\ step!}\\\mathsf{\rightarrow 34b-40=-6}

\mathsf{ADD\ by\ 40\ on\ your\ sides}\\\mathsf{34b-40+40=-6+40}\\\mathsf{Cancel\ out\ -40+40\ because\ that\ gives\ the\ result\ of\ 0}\\\mathsf{-6+40=34}\\\mathsf{\rightarrow New\ equation: 34b = 34}

\mathsf{DIVIDE\ both\ of\ your\ sides\ by\ 34}\\\mathsf{\dfrac{34b}{34}=\dfrac{34}{34}}\\\\\mathsf{Cancel\ out: \dfrac{34b}{34}\ because\ that\ gives\ you\ the\ result\ of\ 1b}\\\\\mathsf{Keep:\dfrac{34}{34}\ because\ it\ solves\ for\ b}\\\\\mathsf{\dfrac{34}{34}=34\div34=1}

\boxed{\boxed{\boxed{\boxed{\mathsf{Thus\ your\ answer\ is:\boxed{\boxed{\mathsf{b=1}}}}}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

You might be interested in
Over a two hour time period a snail moved <br> 46<br> inches. How far is this in yards?
Anton [14]
It would be exactly 1.2778 yards. 
7 0
3 years ago
Cuánto es 729 entre 38​
riadik2000 [5.3K]

Answer: 19.1842

Step-by-step explanation:

8 0
3 years ago
2995 divided by 27 but estimated
Vinil7 [7]

Answer: 110

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If 5(2x - 1) = 35, then x =​
SIZIF [17.4K]

Answer:

x = 4

Step-by-step explanation:

Given

5(2x - 1) = 35 ( divide both sides by 5 )

2x - 1 = 7 ( add 1 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

5 0
3 years ago
If a ball is thrown directly upward with a velocity of 50ft/s, it's height (in feet) after t seconds is given by y=50t-16t^2 wha
Tomtit [17]

Answer:

39.0625 ft

Step-by-step explanation:

Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.  

The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50

To find the x coordinate of the vertex, use   x = -b/(2a)

We have x = -50/[2(-16)]

               

                  x = -50/-32

             

                         x= 25/16

Now plug that into the equation to find the y value, which will be the height...

y = 50(25/16) - 16(25/16)²

    y = 1250/16 - 16(625/256)

        y = 1250/16 - 625/16

              y = 625/16

                   y = 39.0625

7 0
3 years ago
Other questions:
  • What is product of 3 1/3 * 2 1/6 in its simplest form
    10·2 answers
  • Sierra says that she can simplify the left side of the inequality 2(-3+ 5) + 22 -4(x- 2)- 3 by combining the terms within the pa
    11·1 answer
  • 23.791 round to nearest tenth
    9·1 answer
  • Use the distributive property to write an expression equivalent to 5×(3+4)​
    8·1 answer
  • a baseball team played 154 games last season the had 35 fewer losses than wins how many games did the team win and how many did
    10·1 answer
  • Prof. Lazy decides to assign final grades in CSE 312 by ignoring all the work the students have done and instead using the follo
    6·1 answer
  • Casey bought 6 bags of apples. Each bag contained 5 apples. How many
    7·1 answer
  • How did Alexander Hamilton steal british cannons?
    5·1 answer
  • Glenn ate 2 apples a day for a week. In addition to the apples, he ate 3 pears during the week. write the expression that shows
    10·1 answer
  • Solve the inequality for y.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!