I want to know what the letter a is , and how to do it.1/3 + a 5/4

 I Want To Know What The Letter A Is , And How To Do It.1/3 + A 5/4

Answers

Answer 1

STEP

1

:

           5

Simplify   —

           4

Equation at the end of step

1

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

2

:

           1

Simplify   —

           3

Equation at the end of step

2

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        a     a • 3

   a =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 + a • 3     3a + 1

—————————  =  ——————

    3           3  

Equation at the end of step

3

:

 (3a + 1)    5

 ———————— -  —  = 0

    3        4

STEP

4

:

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       3

     The right denominator is :       4

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 1 0 1

2 0 2 2

Product of all

Prime Factors  3 4 12

     Least Common Multiple:

     12

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 4

  Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (3a+1) • 4

  ——————————————————  =   ——————————

        L.C.M                 12    

  R. Mult. • R. Num.      5 • 3

  ——————————————————  =   —————

        L.C.M              12  

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(3a+1) • 4 - (5 • 3)     12a - 11

————————————————————  =  ————————

         12                 12  

Equation at the end of step

4

:

 12a - 11

 ————————  = 0

    12  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 12a-11

 —————— • 12 = 0 • 12

   12  

Now, on the left hand side, the  12  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  12a-11  = 0

Solving a Single Variable Equation:

5.2      Solve  :    12a-11 = 0

Add  11  to both sides of the equation :

                     12a = 11

Divide both sides of the equation by 12:

                    a = 11/12 = 0.917

a = 11/12 = 0.917

                 

Answer 2

Answer:

11/12

Step-by-step explanation:

You want to subtract 5/4 minus 1/3 but you cant so you have to find the greatest denominator first which would be 12 because 3x4=12.

Since you multiplied 4x 3 to get 12 then you will multiply the 5 by 3 and the 1 by 4 to get this -> 5/4= 15/12     1/3= 4/12

Then subtract 15/12- 4/12= 11/12

a=11/12


Related Questions

Please look at picture for question.

Answers

Answer:

Amount spent on breakfest each day: 2B+J

Amount spent on granola bars each day: 2B

Amount spend on juice each day: J

Number of days buys breakfast: 7

Help help help math please help help

Answers

Answer:

x=11

Step-by-step explanation:

We know that angles on a straight line equal 180 degrees, so we know that 8x+10+7x+5 = 180.

Simplify

15x+15=180

Solve

Take away 15 from both sides

15x = 165

Divide 165 by 15

x = 11

Ano po tawag dito pinapalipad po to lalagay nyo po yung shape fan blade sa stick tapos po lilipad.

Wag nyo po sagutin kung di po alam.

Mga tutors pasagot po di ko po kau mapili dahil Wala po pambayad

Answers

Answer:

Flower stick hahhhahaHaha

Suppose that you borrow ​$16000 for 5 years at 8% toward the purchase of a car. Find the monthly payments and the total interest for the loan.

Answers

The total interest on the loan and monthly payments are $64,000 and $ 1,333.3 respectively

The formula for calculating the simple interest is expressed as:

I = PRT

P is the amount borrowed = $16,000R is the rate  = 8% = 0.08T is the time = 5 years

Get the interest;

I = 16,000 * 0.8 * 5

I = $64000

Amount after 5 years = 16000 + 64000

Amount after 5 years  = $80,000

Monthly payment  = 80000/60months

Monthly payment = $1,333.33

Hence the total interest on the loan and monthly payment are $64,000 and $ 1,333.3 respectively

Learn more on interest here: https://brainly.com/question/10488979

926/71 Explain how u got the answer

Answers

Answer:

Step-by-step explanation:

926/71 = 13 Remainder 3

Help help math please please

Answers

Answer:

x = 42

Step-by-step explanation:

2x + 8 + 2x + 4 = 180

4x + 12 = 180

4x = 168

x = 42

I don’t know but I really need answers I don’t know but I really need

PLEASE HELP THIS IS DUE IN 10 MINUTES!!!!!

Answers

Answer:

b1-h3, b2-h2, b3-h3.

Step-by-step explanation:

See the image.

Hope that helps! :)

(Can you please mark me as brainliest?)

IMG World of Adventures sold 350 children's tickets last month . If this made up 12.5% of its yearly children's ticket sales, how many children's tickets did IMG World of Adventures sell all year? (WRITE ONLY THE NUMBER)

Answers

I'm sorry if I'm wrong

x-10/3=5x+2/2 I need help with he next step please

Answers

Answer:

x2 the left side and x3 the right side of the equation

Answer:

X = -2

First you cross multiply, and then you expand to get 15x+6

after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.

Find the accumulated value of an investment of $2000 at 8% compounded continuously for 4 years

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]

will give 25 for answering correct

Answers

Answer:

C) y + 1 = -5(x - 1)

Step-by-step explanation:

Given:

m = -5

(1, -1)

We just simply use the point-slope formula and plug in:

y - y1 = m(x - x1)

y - (-1) = -5(x - 1)

y + 1 = -5(x - 1)

4(2 – x) > –2x – 3(4x + 1)

Answers

Answer:

X > -11/10

Step-by-step explanation:

10(-7y-2z)+4z-2(-8z+6y) simple form

Answers

The answer to this question should be -82y

[tex]10(-7y-2z) +4z -2(-8z+6y)\\\\=-70y -20z +4z +16z - 12y\\\\=-82y -4z+4z \\\\=-82y[/tex]

 Missed 10 days of Algebra 2. I think they did some Long Division stuff but i need help figuring out how to do this stuff...
I attached an image below of some example problems

Answers

"Find all real solutions of" basically means solve for x. You're looking for the real numbers x such that the given equation is satisfied. "Zeros" is synonymous with "solutions".

It looks like the first equation is

3x³ + x² - 38x + 24 = 0

It's not immediately obvious whether this can be factorized, so we first carry out the rational zero test to see if there are any rational solutions. *If* this equation has any rational solutions, then they must take the form of (divisor of 24)/(divisor of 3). That is, take any divisor of the constant coefficient and divide it by any divisor of the leading term's coefficient.

We have

• divisors of 24 : ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

• divisors of 3 : ±1, ±3

Sadly, there are 64 possible roots to test, but we only need one to make the rest of the problem easier.

• Let x = +1 / +1 = 1. Then plugging x = 1 into the equation gives

3•1³ + 1² - 38•1 + 24 = -10 ≠ 0

so x = 1 is *not* a solution

• Let x = +2 / +1 = 2. If x = 2, then

3•2³ + 2² - 38•2 + 24 = -24 ≠ 0

so x = 2 is *not* a solution.

• Let x = +3 / +1 = 3. If x = 3, then

3•3³ + 3² - 38•3 + 24 = 0

so x = 3 is a solution.

By the remainder theorem, this means that x - 3 divides 3x³ + x² - 38x + 24. Using long or synthetic division,

(3x³ + x² - 38x + 24) / (x - 3) = 3x² + 10x - 8

so that

3x³ + x² - 38x + 24 = 0

is the same as

(x - 3) (3x² + 10x - 8) = 0

We factorize the remaining quadratic to get

3x² + 10x - 8 = (3x - 2) (x + 4)

and so the original equation is equivalent to

(x - 3) (3x - 2) (x + 4) = 0

Solve for x :

x - 3 = 0   or   3x - 2 = 0   or   x + 4 = 0

x = 3   or   x = 2/3   or   x = -4

The other equations can be solved similarly, though some of the others you included are much simpler.

For the second problem (note that you left out an exponent), we solve the equation

x³ - 2x² - 23x + 60 = 0

Again, not immediately obvious how to factorize this. But using the rational root test, we have

• divisors of 60 : ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60

• divisors of 1 : ±1

If you follow the same steps as before, you'll find the first rational solution with x = 3. So x - 3 divides x³ - 2x² - 23x + 60, and long division gives

(x³ - 2x² - 23x + 60) / (x - 3) = x² + x - 20

and the resulting quadratic is easily factored,

x² + x - 20 = (x - 4) (x + 5)

So, we have

x³ - 2x² - 23x + 60 = (x - 3) (x - 4) (x + 5) = 0

which means

x - 3 = 0   or   x - 4 = 0   or   x + 5 = 0

x = 3   or   x = 4   or   x = -5

For the third problem, we can factor by grouping.

x³ - 4x² - x + 4 = 0

x² (x - 4) - (x - 4) = 0

(x² - 1) (x - 4) = 0

(x - 1) (x + 1) (x - 4) = 0

Then

x - 1 = 0   or   x + 1 = 0   or   x - 4 = 0

x = 1   or   x = -1   or   x = 4

For the fourth problem, we use the rational root test again, but twice this time.

x⁴ - 6x³ + 7x² + 6x - 8 = 0

• divisors of -8 : ±1, ±2, ±4, ±8

• divisors of 1 : ±1

We find that x = 1 and x = 2 are both rational roots, so both x - 1 and x - 2 divide x⁴ - 6x³ + 7x² + 6x - 8. By long division,

(x⁴ - 6x³ + 7x² + 6x - 8) / ((x - 1) (x - 2)) = x² - 3x - 4

and factoring this gives

x² - 3x - 4 = (x + 1) (x - 4)

So, we have

x⁴ - 6x³ + 7x² + 6x - 8 = (x - 1) (x - 2) (x + 1) (x - 4) = 0

which means

x - 1 = 0   or   x - 2 = 0   or   x + 1 = 0   or   x - 4 = 0

x = 1   or   x = 2   or   x = -1   or   x = 4

For the last problem,

x⁴ + 4x³ + 7x² + 16x + 12 = 0

we use the rational root test again.

• divisors of 12 : ±1, ±2, ±3, ±4, ±6, ±12

• divisors of 1 : ±1

We find that both x = -1 and x = -3 are rational solutions, and dividing gives

(x⁴ + 4x³ + 7x² + 16x + 12) / ((x + 1) (x + 3)) = x² + 4

which we cannot factorize further over the real numbers. So we end up with

x⁴ + 4x³ + 7x² + 16x + 12 = (x + 1) (x + 3) (x² + 4) = 0

so that

x + 1 = 0   or   x + 3 = 0   or   x² + 4 = 0

x = -1   or   x = -3

(We omit the third equation here because it has no real solution since x² + 4 ≥ 4 for all real x.)

Describe fully the tranformation that takes shape P to shape Q

Answers

Answer:

Enlargement (aka: Dilation)

Step-by-step explanation:

As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.

Answer:

dilation by a scale factor by 3 about (1, 0)

Step-by-step explanation:

it is dilation by a scale factor of 3

see the below picture to find the center of dilation formula

(2, 1)  (4, 3) points of transformation

center = (3*2 - 4 / 3 - 1,  3*1 - 3 / 3 - 1)

= ( 6 - 4 / 2,  0)

= (1, 0)

so single transformation is  dilation by a scale factor by 3 about (1, 0)

a rectangle measures 5 feet by 10 feet. what is the perimeter in yards

Answers

Answer:

10 yards

Step-by-step explanation:

10 + 10 + 5 + 5 = 30 feet

30 feet = 10 yards

$10.25 per hour x 25 hours round to the nearest cent

Answers

Answer:

256.25

Step-by-step explanation:

$10.25 not taxed x 25

What is the missing number in this pattern?
1, 7, 8, 15, 23, 38, 61, 99, 160,

Answers

The next number in the sequence is the sum of the two note ious numbers.

The next number would be 99 + 160 = 259

Which of the following angles is corresponding with 25?
02
07
08
04

Answers

Answer:

∠7    . However ∠7 and ∠8 are vertical angles which are equal,

Step-by-step explanation:

Angle ∠7, but because ∠7 and ∠8 are vertical angles and they are equal also.

 ∠5 corresponds to ∠7

m ∠7  = m ∠8    vertical angles are =

I will say ∠7 and ∠8.

solution set of (3x+7)^2+5=(7x-9)^2x+5

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(3*x+7)^2+5-((7*x-9)^2*x+5)=0

Step by step solution :

STEP1:

Equation at the end of step 1

(((3x+7)2)+5)-(x•(7x-9)2+5) = 0

STEP2:

Checking for a perfect cube

2.1 -49x3+135x2-39x+49 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: -49x3+135x2-39x+49

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -39x+49

Group 2: -49x3+135x2

Pull out from each group separately :

Group 1: (-39x+49) • (1) = (39x-49) • (-1)

Group 2: (49x-135) • (-x2)

Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49

of the Trailing Constant : 1 ,7 ,49

Let us test ....

Equation at the end of step

2

:

-49x3 + 135x2 - 39x + 49 = 0

STEP

3

:

Cubic Equations:

3.1 Solve -49x3+135x2-39x+49 = 0

Future releases of Tiger-Algebra will solve equations of the third degree directly.

Meanwhile we will use the Bisection method to approximate one real solution.

Approximating a root using the Bisection Method :

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is F(x) = -49x3 + 135x2 - 39x + 49

At x= 3.00 F(x) is equal to -176.00

At x= 2.00 F(x) is equal to 119.00

Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero

Procedure :

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

(6) Loop back to Step (3)

(7) Done!! The approximation found is Middle

Next Middle will get us close enough to zero:

F( 2.596896529 ) is 0.000000414

The desired approximation of the solution is:

x ≓ 2.596896529

Note, ≓ is the approximation symbol

One solution was found :

x ≓ 2.596896529

Find the equation of a line that passes through the points (1,-3) and (3,-1). Leave your answer in the form y = m x + c

Answers

Answer:

y=x+2

Step-by-step explanation:

-1+3/3-1=2/2=1

y+3/x-1=1

x-1=y+3

y=x-4

Select the property of equality used to arrive at the conclusion.

If x = 2, then x + 8 = 10Select the property of equality used to arrive at the conclusion. If x = 2, then x + 8 = 10

1. the subtraction property of equality
2. the addition property of equality
3. the multiplication property of equality
4. the division property of equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

This is because the addition property of equality means

if [tex]a=b[/tex] then [tex]a+c=b+c[/tex]

So if, [tex]x=2[/tex] then [tex]x+8=2+8[/tex]

Find the equation of the tangent line at the given point on the following curve.
x² + y² = 25, (-4,-3)
The equation of the tangent line to the point (-4,-3) is y=

Answers

The answer is:
y
=
3
4
x
+
25
4
.

The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.

I need help and pls do it in The liner equation way which is also given two points.

Answers

Answer:

$1325

Step-by-step explanation:

Translate the given into two pairs of coordinates:

(800, 975) and (1100, 1125)

Work out the equation of the line passing through both of the points.

Find the slope:

m = (1125 - 975) / (1100 - 800) = 0.5

Find the y-intercept:

975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575

The line is:

y = 0.5x + 575

Find the value of y when x = 1500:

y = 0.5*1500 + 575 = 1325

Please not bots due in hour!

Answers

Answer:

Range is 7 to 42

Step-by-step explanation:

In your class there are 30 students and 40% of you have bicycle. 16) How many students have a bicycle?​

Answers

Answer:

12 have a bicycle

Step-by-step explanation:

There are 30 students and 40% have a bicycle

30 * .40

12

12 have a bicycle

Answer: 12

40% of 30 is 12.

if you get it right ill mark brainliest​

Answers

Answer:

angle m1 = 40°

Step-by-step explanation:

The first angel presented to the left is 40° if you take that and flip it its the same as M1 therefore its 40°.

well given the shape, the triangle on top has to have three corners that equal 180, the 40 should have the same degree as the one directly across from it so 40+40= 80 and 180-80=100 which should be the answer but it’s not shown that it’s and answer but whatever is closest to 100 would logically make the most sense i think…

Xy3-9xyz2 is my math problem and I need help with the complete breakdown

Answers

(x • (y³)) - 32xyz²

Pull out like factors :

xy³ - 9xyz² = xy • (y² - 9z²)

Factoring: y² - 9z²

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : y² is the square of y¹

Check : z² is the square of z¹

Factorization is : (y + 3z) • (y - 3z)

Final result :

xy • (y + 3z) • (y - 3z)

Rewrite 2/3 and 1/15 as a unit rate​

Answers

Answer:

10:1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The unit rate is found by dividing.

2/3 = 0.(6)

1/15 = 0.(6)

I need help I can’t find the anwer please help

Answers

Answer:

You: 3, 6, 9, 12

Friend:4, 8, 12, 16

Step-by-step explanation:

You/Friend ratio is 3/4

Missing numbers:

8 / (4/3) = 612 * (4/3) = 16

Numbers:

You      3, 6, 9, 12

Friend  4, 8, 12, 16

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