How to simplify a fraction with an exponent?

Answer:

401 r 20

Step-by-step explanation:

Answer:

y=3/5x + 2

Step-by-step explanation:

y-(-1)=3/5(x-(-5))

y+1=3/5(x+5)

5y+5=3x+15

5y=3x+10

y=3/5x+2

Answer:

BC is congruent to EC by definition of bisect.

<ABE is congruent to <BED by alternate interior angles.

<ACB is congruent to <ECD by vertical angle theorem.

Triangle ABC is congruent to triangle DEC by ASA congruence theorem

Answer:

Ooook. One thing at a time

C is the midpoint of AD and BE: The two segments bisects each other.

Being the midpoint AC≅CD and BC ≅CE.

The triangles are congruent by SSS.

Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.

Answer:

Train A

Step-by-step explanation:

Look at the table.

Train A : 75 - 50/ 3 - 2 = 25 mi/n

Train B : 40 - 0/ 2 - 0 = 20 mi/n

25  > 20

So it's train A.

{ RATE }

The two-step exchange process is an illustration of composite functions

Converting from dollars to British pounds, we have:

[tex]\mathbf{f(d) = 0.69d - 1}[/tex]

Converting from British pounds to Euro, we have:

[tex]\mathbf{g(p) = 1.3p - 2}[/tex]

(a) Function that converts dollars to Euro

To do this, we simply calculate gf(d)

So, we have:

[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]

Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]

[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]

Expand

[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]

[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]

Rewrite as:

[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

(b) Euro equivalent of $450

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 450 for d

[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 400.35}[/tex]

Hence, you would receive 400.35 Euros, when you exchange 450 dollars

(c) Dollar equivalent of 60 Euros

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 60 for g(d)

[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]

Add 3.3 to both sides

[tex]\mathbf{0.897d = 63.3 }[/tex]

Divide both sides by 0.897

[tex]\mathbf{d = 70.6}[/tex]

Hence, you would receive 70.6 dollars, when you exchange 60 Euros

Read more about composite functions at:

https://brainly.com/question/20379727

Answer:

[tex]a^{2}[/tex]

Step-by-step explanation:

Answer: ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

so

9x + 3 + 11x - 21 + 5x - 2 = 180

25x = 180 - 3 + 21 + 2

25x = 200

x = 200 : 25

x = 8

----------------

E = 9 * 8 + 3 = 75°

D = 5 * 8 -2 = 38°

F = 11 * 8 - 21 = 67

-------------------------

check

75 + 37 + 67 = 180°

The required simplified value of the x is 8, as of the given condition.

A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8

Thus, the required simplified value of the x is 8.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)

Step-by-step explanation:

Answer:

Each snack bar contains 12 carbs and each milk contains 15 carbs.

Step-by-step explanation:

Let M be the carbs in milk and S the carbs in a snack bar.

We are told:

4M + 3S = 96, and

2M + 4S = 78

===

We can eliminate one of the variables and then solve for the other.  Let's multiply the second equation by -2 and then add it to the first.  This will eliminate the M:

4M + 3S = 96

-4M - 8S = -156

-5S = - 60

S = 12

Each snack bar has 12 carbs.  Use either equation to find M.  I'll  use the second:

====

2M + 4S = 78

2M + 4*(12) = 78

2M + 48 = 78

2M = 30

M = 15

Each milk contains 15 carbs

Answer:

Its a cubic number formula

Step-by-step explanation:

1, 8, 27, 64, 125, 216, 343

Answer:

842567

the answer is thousands

7 is ones

6 is tens

5 is hundreth

2 is thousands

4 is ten thousands

8 is hundred thousands

Hope This Helps!!!

Answer:  y=  5 /52  = 10 2/5 = 10.4

​

Step-by-step explanation:

-3.3+y/4=-9.7

We move all terms to the left:

-3.3+y/4-(-9.7)=0

We add all the numbers together, and all the variables

y/4+6.4=0

We multiply all the terms by the denominator

y+(6.4)*4=0

We add all the numbers together, and all the variables

y+25.6=0

We move all terms containing y to the left, all other terms to the right

y=-25.6

Answer:

it is the 50th tearm

Step-by-step explanation:

I just added '2' to '1' 50 times in a sense and got 99

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

Answer:

11M + 2x + 8

I did the math

it rights tho

Answer:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

Step-by-step explanation:

Complex Integer

(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.

Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.

The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.

Answer:

An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3t is also represented as 3(t)

which is multyplication

theirfor the product

Answer:

Step-by-step explanation:

3t - 5

can you keep the options?

my answers would be

5 less than product of 3 and a number

Answer:

9.4

Step-by-step explanation:

Each pay 7.05.

7.05 times 4 equals 28.20, so it is 28.20 for 3 tickets, they all pitched in.

Each ticket costs 9.4

Please mark brainliest

Answer:

Each ticket costs $9.4

Step-by-step explanation:

Since they're using the Cinema tickets offer, all four friends are paying actually paying for a total of 3 tickets. They get 1 ticket for free.

7.05 x 4 = 28.2 (Amount paid from all 4 friends)

Now divide 28.2 by the # of tickets they're paying for.

28.2/3 = 9.4 (Cost of each ticket)

Hope this helps! Please mark me as brainliest! :D

Answer:

12% of 315 is 37.8 :) Tag me if I'm wrong

Answer:

x = 37.80

Step-by-step explanation:

The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.

The given statement, "What number is 12% of 315" can be expressed algebraically as:

x = 0.12 × 315.

x = 37.80

Therefore, 37.80 is 12% of 315.

Answer: $4

Step-by-step explanation:

If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4

Answer:

$4

Step-by-step explanation:

divide 8 by two

to find the price of one prego pasta divide the cost of your object  by the amount of objects

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

Find out more at: https://brainly.com/question/13911928

Answer:

Answer is D

Step-by-step explanation:

The equation for D is y = x · 4

X      | Y

1 · 4 = 4

2 · 4 = 8

3 · 4 = 12

So Y varies directly with x in table D

Answer:

3 + 4i

Step-by-step explanation:

Answer:

Please I don't understand the question or maybe I'm too young for the question I'm so sorry

I don't know what you mean by this but you'll just get a value larger than the two sums that you added

5 + 7 = 12

3 + 4 = 7

Answer:

The sum will always be even

Step-by-step explanation:

Explanation:

The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,

Use the quadratic formula to get the following

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]

The last equation matches with choice C.

Answer:

slope= [tex]\frac{2}{3}[/tex] or 0.6

y-intercept= -1

y= 0.6x+ -1

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

the y-intercept is where the line crosses the y axis

the equation for a line is y=mx+b where m is slope and  b is y

Answer:

Slope: 1.5

Y-intercept: (0,-1)

Equation of the line: y=1.5x-1

Step-by-step explanation:

Slope=

change of y/change of x=

3/2 (or 1.5)

Equation of the line:

y=1.5x+b

-1=1.5(0)+b

-1=b

y=1.5x-1

Answer:

y = -7x + 3/11

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Umm I dont know how to explain but im 100% sure

I got it right on my quiz so...

Answer: 500

Step-by-step explanation:

the first one