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
Elena L [17]
3 years ago
9

Solve for b. 8b−1=24b+4

Mathematics
2 answers:
Allushta [10]3 years ago
3 0
8b - 1 = 24b + 4
8b - 1 + 1 = 24b + 4 + 1
8b = 24b + 5
8b - 24b = + 5
-16 = + 5
-5/16

Answer: b = -5/16

Alchen [17]3 years ago
3 0
ANSWER

b = - \frac{5}{16}

EXPLANATION

The given equation is

8b - 1 = 24b + 4

We want to solve for b in the given equation.

Let us group like terms to get,

8b - 24b = 4 + 1

We simplify both sides of the equation to obtain,

- 16b = 5

We divide both sides by -16 to get,

\frac{ - 16b}{ - 16} = \frac{5}{ - 16}

We now cancel out the common factors to obtain,

b = - \frac{5}{16}
You might be interested in
Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
3 years ago
If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?
Solnce55 [7]

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

5 0
3 years ago
Find the third side in simplest radical form:<br> 25
Gre4nikov [31]

Answer:

<h3>\boxed{  \bold{24}}</h3>

Step-by-step explanation:

\mathsf{given}

\mathsf{hypotenuse(h) = 25}

\sf{perpendicular (p) = 7}

\sf{base(b) = }?

Now, Using Pythagoras theorem

\sf{{h}^{2}  =  {p}^{2}  +  {b}^{2} }

plug the values

⇒\sf{  {25}^{2}  =  {7}^{2}  +  {b}^{2} }

Evaluate the power

⇒\sf{625 = 49 +  {b}^{2} }

Swap the sides of the equation

⇒\sf{49 +  {b}^{2}  = 625}

Move constant to right hand side and change it's sign

⇒\sf{ {b}^{2}  = 625 - 49}

Calculate the difference

⇒\sf{ {b}^{2}  = 576}

Squaring on both sides

⇒\sf{b = 24}

Hope I helped!

Best regards!

8 0
3 years ago
11. This picture shows a table in the shape of a regular hexagon.
disa [49]

Answer:

Sum of interior angles = 720°

One interior angle = 120°

Step-by-step explanation:

Sum of interior angles = 180°(n-2)

Where n is the number of sides in a polygon

Therefore, one angle in a regular polygon will be (180°(n-2))÷n

Hence

Sum of interior angles= 180°(6-2)

= 720°

One interior angle = 720°÷6

= 120°

3 0
3 years ago
What’s 9+10?????????????????<br><br><br> ?
Aleks [24]

Answer:

19

Step-by-step explanation:

9+10=19

8 0
3 years ago
Other questions:
  • On a test, Shoshana got 65% or 23.4 of the items correct? How many items were on the test?
    7·2 answers
  • Which is another way to write the expression t • (14 - 5)
    7·2 answers
  • Please help me guys solve this issue
    13·2 answers
  • A lamp in the shape of a triangular pyramid has a height of 17 inches. The area of the base of the lamp is 90 square inches.
    10·1 answer
  • I need help with this, please answer
    11·1 answer
  • 1 1/5 divided by 3/10
    14·1 answer
  • State the restrictions: 12x2+31x + 9 3x2-5x-2​
    8·2 answers
  • The change in the price for day 2 is of the change in the price for day 3. At the end of day 5,
    13·1 answer
  • Write the slope-intercept form of the equation of the line described.
    11·1 answer
  • Consider triangle DEF. The legs have a length of 36 units each. What is the length of the hypotenuse of the triangle 18 units un
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!