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inysia [295]
2 years ago
12

Solve for x 11(x - 4) = 5(x+3)

Mathematics
2 answers:
Pavel [41]2 years ago
7 0

Answer:

5 9 /6

Step-by-step explanation:

TEA [102]2 years ago
7 0

Answer:

=59

    _

    6

Step-by-step explanation:

good luck

You might be interested in
A cone is 10cm high and has a base radius of 8cm.
slavikrds [6]

The maximum volume of the cylinder in exact form is; V_max = 2560π/27

<h3>How to maximize the volume of a cylinder?</h3>

Let us define the variables as:

Radius of cone = r

Radius of cylinder = x

Height of Cone = h

Height of Cylinder = y

The general equation for volume of the cylinder is;

V = πx²y  

Taking a strip of both figures and relating x, y, r & h as well as using ratios of similar triangles, we have:

Height of triangle above cylinder/Base of Triangle above cylinder   =   Height of full triangle/Base of full triangle

This gives;

(h - y)/2x  = h/2r

Making y the subject gives us;

h – y = hx/r

y =  h – hx/r

y = h(1 – x/r)

Plug in y into our Volume equation:

V(x) = πx²h(1 – x/r)

V(x) = πh(x²  - x³/r)

To get maximum volume, find the derivative of the volume and solve for when the derivative equals zero:

V'(x) = πh(2x  - 3x²/r)

V'(x) = 0

Thus;

(2x  - 3x²/r) = 0

x( 2r – 3x) = 0

Thus;

x = 0 or x = 2r/3

Put x = 2r/3 in our volume equation to find V_max

V_max  = πh((2r/3)² – (2r/3)³/r)

V_max = πh(4r²/9 - 8r²/27)

V_max = πh(12r²/27 - 8r²/27)

V_max = 4πhr²/27

Thus, at r = 8 and h = 10, we have;

V_max = 4π(10)8²/27

V_max = 2560π/27

Read more about Maximizing Volume of Cylinder at; brainly.com/question/10373132

#SPJ1

3 0
2 years ago
5) (3a + 1) - (4 + 2a)
trasher [3.6K]

Answer:

5a - 3

Step-by-step explanation:

3a + 2a = 5a

1 - 4 = -3

5a + (-3) or 5a - 3

5 0
2 years ago
Use the binomial squares pattern to multiply (7c²+6)²
SashulF [63]

The solution is 49 c^{4}+84 c^{2}+36

Explanation:

The expression is \left(7 c^{2}+6\right)^{2}

The square of a binomial is always a trinomial.

To determine the square of a binomial we shall use the formula.

The formula to find the square of a binomial is

(a+b)^{2}=a^{2}+2 a b+b^{2}

Let us use this formula to multiply the expression \left(7 c^{2}+6\right)^{2}

Here a=7c^{2} and b=6

Substituting the values in the formula, we get,

\left(7 c^{2}+6\right)^{2}=\left(7 c^{2}\right)^{2}+2 \cdot 7 c^{2} \cdot 6+6^{2}

Squaring each term, we have,

\left(7 c^{2}+6\right)^{2}=49 c^{4}+2\cdot 7 c^{2} \cdot 6+36

Multiplying the product of two terms, we get,

\left(7 c^{2}+6\right)^{2}=49 c^{4}+84c^{2}+36

Thus, the solution is 49 c^{4}+84 c^{2}+36

6 0
3 years ago
Jennifer recently finished paying off her $30,000 fixed-rate student loan. She paid $303.73 per month for 10 years to
kaheart [24]

Answer:

$6,447.60

Step-by-step explanation:

Since Jennifer's monthly payment was $303.73 and she paid this amount each month for 10 years, multiply the monthly payment by the number of months in 10 years, 120, to determine the total amount that she paid.

$303.73×120=$36,447.60

Now, subtract the stated amount of the loan from the total amount paid to find the amount of interest that was paid.

$36,447.60−$30,000=$6,447.60

Therefore, Jennifer paid $6,447.60 in interest through the duration of the loan.

8 0
2 years ago
Help plz this is really hard for me
Alenkasestr [34]

Answer:

Improper fraction: 13/10

Mixed number: 1 3/10

Decimal: 1.3

Step-by-step explanation:

Find common denominator: which is 30

Make each denominator equal 30, affecting the whole fraction:

6•2/15•2 + 3•3/10•3 + 3•6/5•6 =

12/30 + 9/30 + 18/30 = 39/30

Simplify: 39/30, divide both by 3: 13/10

And there is our answer!

Hope this helps, good luck! :D

3 0
2 years ago
Read 2 more answers
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