− 4/1 ​ a−4= 4/7 ​ a−3

Answers

Answer 1

The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125

The given equation is:

[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]

Cross multiply:

[tex]-4(7)(a-3) = 4(a-4)[/tex]

Divide both sides by 4

[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]

Expand the bracket using the distributive rule

-7a + 21  =  a  -  4

Collect like terms

a  +  7a   =  21  +  4

Simplify the arithmetic

8a   =  25

Divide both sides by 8

[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]

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Related Questions

Please help! I need the answer asap :(

Answers

Answers: 1 and -1

Explanation:
Any number raised to the power of zero is 1. In the second problem, the outside negative sign makes the 1 negative.

Answer:

[tex]1 and -1[/tex]

Step-by-step explanation:


What is the inverse

Answers

Answer:this is the answer

Answer:

[tex]f^{-1}(x)=3x-6[/tex]

Step-by-step explanation:

Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.

[tex]x=1/3*f^{-1}(x)+2[/tex]

[tex]x-2=1/3*f^{-1}(x)[/tex]

[tex]f^{-1}(x)=3(x-2)[/tex].

[tex]\boxed{f^{-1}(x)=3x-6}[/tex]

hhhhhhhhhhheeeeeeeeelllllllllllllppppppppp

Answers

Answer:

Your answer is C. Angle a is congruent to both angles 3 and 1.

Step-by-step explanation:

Which is the equation of the line that passes through the points (4.3) and (2. 6)? Like how I do this because I had infinite answers that was wrong one may be right

Answers

Answer: C

Step-by-step explanation: You have to graph the 2 points and plug in each answer until the slope passes through

The library charges a fine
each day that a book is
late. If Moriah recently paid
a $7.15 fine for a book that
was 13 days late, what is
the daily fine?

Answers

.55 when rounded up but this is the actual answer: 0.548461538461538

Find the cosine of ZX.

Answers

Answer:

[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]

Multiply the following and provide the product in standard from thank you

Answers

Answer:

x^3 + 4x^2 - 7x - 10

Step-by-step explanation:

To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.

Which pair of numbers have a greatest common factor of 5?

Select each correct answer.

15 and 25
30 and 15
20 and 30
10 and 5

Answers

Answer:

15 and 25

10 and 5

Step-by-step explanation:

Are expressions equivalent to 3(62)?

Answers

Answer:

186

Step-by-step explanation:

Choose the fraction that is equal to:
0.8 repeating A)8/9 B)6/7 C)8/10 D)2/25

Answers

Answer:

A) 8/9

Step-by-step explanation:

8 divided by 9 is 0.88888888888888888888889 on a calculator

The fraction that is equal to 8/9. Then the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

⇒ 0.8888...

Convert the decimal number into a fraction number, then we have

Let x = 0.8888..., then

10x = 8.888....

10x - x = 8.8888.... - 0.8888...

9x = 8

x = 8/9

The fraction that is equal to 8/9. Then the correct option is A.

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which angles are alternate ​

Answers

Answer:

POL  and KLO

Step-by-step explanation:

Alternate interior angles are between the parallel lines and on opposite sides of the transversal

NOL and MLO

POL  and KLO

Answer:

KLO and POL

Step-by-step explanation:

-5s-5x+5 s 50
solve this

Answers

-5s-5x+5s+50     Combine like terms

5x+50

Answer:

[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]

Find the 70th term of the arithmetic sequence 29, 17, 5, ...29,17,5,...


Answers

hijab day of doing a great day of doing a little bit more about the way for me the ch-2 ex is a very good time to be able to get the day of doing a great day when mother speaks it happens to be a good time to be a good time to be a good day please anyone who is in the day and in the way for me the way

helppp
what is the slope?

Answers

Answer:

2/3

Step-by-step explanation:

Find a two coordinates on the line such as (20,40) and (50,60)

plug it into the slope formula m= y2 - y1 / x2- x1

it doesn't matter what way you plug them in

m = slope

m = 60-40 / 50 - 20 = 20/30 = 2/3

The slope is 2/3 I simplified 20/30 by dividing by 10

hope this helped

PLEASE HURRY ITS DUE IN 20 MINUTES, I’ll GIVE EXTRA EXTRA POINTS

Some people advice that in very cold weather you should keep the gas tank in your car more than half full Irenes car head 6.5 gallons in a 16 gallon tank on the coldest day of the year Irene Field tank with gas that cost $3.80 per gallon how much did Irenes spend on gas

Answers

26.60  if not

so sorry im also very small brain like u

           

           

Which of the following equations is the translation 2 units down of the graph of y = |x|?
y= lx - 2|
y= |x + 2|
y=|x| - 2
y=|x| + 2

Answers

Answer is: y = | x | - 2

help me pls help me pls

Answers

Answer: what is this?

angle 1 and angle 2 form a linear pair. if m angle 1= x + 47, and m angle 2 = x-12 find the measure of angle 1

Answers

Answer:

215/2

Step-by-step explanation:

A linear pair means that the angles equal 180 degrees.

If added together 1 and 2 equal to 180 degrees, then the equation should be x+47+x-12=180. Then solve and simplify.

x+47+x-12=180

2x-35=180

2x=215

x=215/2

What would be the most common example of a curve with constant widith

Answers

Answer:

a circle

Step-by-step explanation:

yeah-ya... right?

I need help for all of them. I don’t understand how to do anything of them and i’m really confused

Answers

Answer:

steps below

Step-by-step explanation:

1) f(x) = (-3ax⁴ + ax² +x) / (2x⁴ + x³ - ax² + 8x) ... degree of the denominator = degree of the numerator       (-3a) / 2 = 5 / 4

-12a = 10

a = - 5/6

2) 3-n > n+ 10  ... degree of the denominator < degree of the numerator

   2n < -7

   n < - 3.5

The largest inter value is -4

3) f(x) = (x²+3x-4) / (2x²+7x-10)

   f(2) = (2²+3*2-4) / (2*2²+7*2-10) = 6 / 12 = 1/2

   x->∞ : divide x² both numerator and denominator, any number/ x -> 0

   f(x) = (1 + 3/x - 4/x²) / (2 + 7/x - 10/x) = (1 + 0 - 0) / (2 + 0 - 0) = 1/2

   [tex]\lim_{x \to \infty} f(x) = f(2)[/tex] = 1/2

Please help me ASAP!!!!!!!!!!!

Answers

Smallest 2-digit number: 23

3-digit number closest to 300: 276

Hope it helps you!            ✺               ✺             ✺         ✺          ✺        ✺           ✺

[tex]ANSWERED:\\GraceRosalia[/tex]

The smallest 2 digit is 23
Number closest to 300 is 376

What is the slope of the line in the graph? PLZ HELP ​

Answers

Answer:-3/4

Step-by-step explanation: Raises 3 units, goes to the left 4 units.

Answer:

-3/4

Step-by-step explanation:

Slope is rise over run. The line is negative as the line is falling, not rising. From one point to the next it falls 3, or rises -3. It runs 4, therefore the rise/run, or slope is -3/4.

What are the solutions to x^2-2x+5=0

Answers

Answer:

x = 1 ± 2i

Step-by-step explanation:

x² - 2x + 5 = 0 ( add 5 to both sides )

x² - 2x = - 5

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 5 + 1

(x - 1)² = - 4 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )

x = 1 ± 2i ( that is the solutions are complex )

Answer:

[tex]x=1\pm2i[/tex]

or

[tex]x=1+2i[/tex]

[tex]x=1-2i[/tex]

Step-by-step explanation:

All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.

[tex]x^2-2x+5=0[/tex]

Equation is in standard form: [tex]ax^2+bx+c=0[/tex]

Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]

Multiply -4 × 5:

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]

Add 4 + -20:

[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]

* the opposite of -2 is 2:

[tex]x=\frac{2\pm 4i}{2}[/tex]

Now, solve equation:

[tex]x=\frac{2+4i}{2}[/tex]

Divide 2 + 4i by 2:

[tex]x=1-2i[/tex]

_____________________________

Help plz !!! Which equation shows that the product of a square matrix A and its identity matrix / is A?

Answers

Answer:

Option D portrays that

Matrix A multiplied by an identity matrix equals Matrix A

What is 7^5 equal to

Answers

The answer to 7^5 = 16807

Could someone please help me with this triangle proof?
It's a level 3 proof on Delta Math.

Answers

Answer:

DA?

Step-by-step explanation:

I'm not the brightest I'm sorry but i think it might be D A something..

Proved that the [tex]$$ \angle C A B \cong \angle D B A \text $$[/tex]

What are similar triangle ?

Similar triangles have the same form but differ in size. Similar items include all equilateral triangles and squares of any side length. In other words, if two triangles are comparable, their corresponding angles and sides are in proportion.

What is Basic Proportionality Theorem

The intercept theorem, also known as Thales' theorem, fundamental proportionality theorem, or side splitter theorem, is a basic geometry theorem that describes the ratios of various line segments formed when two intersecting lines are intercepted by a pair of parallels.

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how to solve 1.2x+1.4y=2.7 and 0.4x-0.3y=0.9 in substitution

Answers

Answer:

x=0.8712, y=1.1818

Step-by-step explanation:

1.2x+1.4y=2.7 --(1)

0.4x-0.3y=0.9--(2)

1.2x=2.7-1.4y

x=(2.7-1.4y) / 1.2 --(3)

substitute (3) in (2)

[tex]0.4(2.7-1.4y) / 1.2 -0.3y=0.9[/tex]

[tex](1.8 - 0.56y) \frac{1}{3} - 0.3y = 0.9[/tex]

times both sides with 1/3

[tex] \frac{1}{3} (1.08 - 0.56y( \frac{1}{3} ) - 0.3y = 0.9)[/tex]

1.08-0.3=0.56y+0.1y

0.78=0.66y

y=1.1818

substitute y in (3)

x=2.7-1.4(1.1818) /1.2

x=0.8712

The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5). What are the coordinates of point K?

Answers

The required coordinate of the point K is (13, 8).

Given that,
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5), the coordinates of point K is to be determined.

What is coordinate?

Coordinate, is represented as the values on x-axis and y-axis of the graph.

here,
The coordinate of the midpoint (x, y) is given as,
x = (x₁ + x₂)/2     ; y = (y₁ + y₂)/2
Substitute the value in the above equation,
3 = (-7 + x₂)/2     ; 5 = (2 + y₂)/2
x₂ = 13                ; y₂ = 8

Thus, the required coordinate of point K is (13, 8).

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Mike wanted to purchase a bike for $285.00 and
realized the bike was on sale for 30% off. How much
would Mike pay for the bike, before taxes, once the
discount was applied?
A. $85.50
B. $199.50
C. $315.00
D. $370.50

please give me the right answer and i’ll mark you brainiest or whatever. <3 :,)

Answers

Answer: B. $199.50

Step-by-step explanation:

285 x 0.7 = 199.5

Answer is B. $199.50

What is 35% of the number 40?

Answers

Answer:

14

Step-by-step explanation:

convert 35% to a decimal by moving the decimal to the left two places

.35

.35 × 40 = 14

Answer:

87 percent

Step-by-step explanation:

You just simply divide percent you got (35) by the full amount you could get (40)

35 ÷ 40

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