A triangle has sides of length 3 cm and 10 cm. What can you say about the length of the third​ side?

5t+5=30
divide both sides by 5
t+1=6
minus 1 both sides
t=5

t=3 because 5x3+5=30

Here is an analogy comparing between unwrapping a present and unwrapping an equation. Both actions do require following a process. You cannot just skip one step in order to arrive at the answer. Just like unwrapping a present, you need to do it in order. First, you take off the ribbon, then you start to unwrap the wrapper until you see the actual gift. On the other hand, when you are unwrapping an equation, you also follow a certain step. You are given a certain formula and values. What you need to do next is to substitute, do the solution, until it is simplified. And lastly, there you have it. You can now see the actual answer. Hope this answer helps.

Final answer:

Solving an equation is likened to unwrapping a present because in both cases, you aim to uncover what's within by dealing with the outer layers systematically. Through an inverse process, you isolate the equation's variable and solve for it, just as the step-by-step unwrapping of layers reveals the gift within the package.

Explanation:

Unwrapping a present is a great way to understand the process of solving an equation. If you consider the equation itself as being 'wrapped' in different operations such as multiplication, division, addition, and subtraction, you can begin to 'unwrap' it by systematically dealing with these operations in reverse from the order of operations. This would be like when you unpack the present by undoing the tape, then the paper, then the box, or whatever other layers might be present.

To use a direct example, let's consider the equation 3x + 7 = 22. You start unwrapping by isolating for the term with the variable. This means you handle the operation that does not involve the variable first. So, subtract 7 from both sides of the equation to get 3x = 15. Next, you handle the multiplication operation by dividing both sides by 3 and solving for x, which would be 5 in this case. Just like unwrapping a present, we aim to get to the 'inside' or the root of the equation.

Learn more about Solving Equations here:

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Let t = initial number of trees "remove 5 trees at the start of the season"  means     (t    - 5)     remain "each remaining tree made 210 oranges for a total of 41,790 oranges"    means         ( t   - 5)           *        210                  = 41790 Now, you can solve for t:        (t-5)(210) = 41790                     [just re-writing]        210t - 1050 = 41790                    [distribute]        210t = 42840                            [add 1050 to each side]          t = 204                                  [divide each side by 210] There were initially 204 trees.  After 5 were removed, the remaining 199 produced 210 oranges each for a total of 199*210 = 41790 oranges.

Answer:

Equations: f(t) = 210(t-5)

Initial number of trees(t) = 204

Step-by-step explanation:

Let  t represents the initial number of trees and f(t) represents the total number of oranges.

"Remove 5 orange trees from his farm" means (t-5)

" Each of the remaining trees produced 210 oranges" means [tex]210\cdot (t-5)[/tex]

so, the equation become [tex]f(t) = 210 \cdot (t-5)[/tex]

Also, it is given that total harvest of, 41790 oranges.

⇒f(t) = 41790

Substitute this in the above equation to get t;

[tex]41790 = 210(t-5)[/tex]

Divide both sides by 210 we get;

[tex]199 = t-5[/tex]

Add 5 both sides of an equation we get;

199 + 5 = t-5 + 5

Simplify:

204 = t

Therefore, there were initially 204 orange trees

20.833333 is 20 5/6 and 20.8 is basically 20.80000000 and since 3 is larger than zero 20 5/6 is larger 20 5/6 > 20.8 

20 5/6 is larger than 20.8

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SR = 450 
S = 450/R 

(S - 3)(R + 5) = 450 
(450/R - 3)(R + 5) = 450 
(450 - 3R)(R + 5) = 450R 
450R + 2250 - 3R^2 - 15R = 450R 
3R^2 + 15R - 2250 = 0 
R^2 + 5R - 750 = 0 
R^2 + 30R - 25R - 750 = 0 
R(R + 30) - 25(R + 30) = 0 
(R + 30)(R - 25) = 0 
R ∈ {-30,25} 

Only positive numbers make sense in this context, therefore R = 25.

Answer with Step-by-step explanation:

Let there be r rows and s seats in every row.

An audience of 450 people is seated in an auditorium and each seat is occupied.

i.e. rs=450

or s=450/r

With three fewer seats per row, and five extra rows, the same audience could still be seated, occupying all seats.

i.e. (s-3)(r+5)=450

s(r+5)-3(r+5)=450

rs+5s-3r-15=450

450+5s-3r-15=450

Subtracting both sides by 450,we get

5s-3r-15=0

i.e. 5s-3r=15

5(450/r)-3r=15

Dividing both sides by 3 and multiplying by r, we get

750-r²=5r

r²+5r-750=0

r² + 30r - 25r - 750 = 0  

r(r + 30) - 25(r + 30) = 0  

(r + 30)(r - 25) = 0

either r+30=0 or r-25=0

either r= -30 or r=25

r can't be negative

Hence, number of rows in auditorium are:

25

x - y

4 - 5 = -1

The difference between x and y is -1.

8 - 1 = 7

The answer for when y = 8, x = 7.

y = kx,,5=4k,,k=5/4,,8=(5/4)x,,x=6.4

Answer:

171 degrees

Step-by-step explanation:

40-sided polygon has an interior angle equal to:

(40 - 2) (180) /40 = 171 degrees

After buying stock at $83.60, the price increased by $15.35 the next day, followed by a 4.75% decrease the day after. The final stock price was therefore $94.25, and this is a reasonable fluctuation in the stock market.

Luis purchased stock at an initial price of $83.60. On the next day, the stock price increased by $15.35, resulting in a new price of $83.60 + $15.35 = $98.95. The following day, the stock price experienced a decrease by 4 and 3/4 percent. To find the change in price, we multiply $98.95 by 4.75% (or 0.0475 in decimal form), which equals approximately $4.70. So, the final stock price after the decrease would be $98.95 - $4.70 = $94.25.

Is this answer reasonable? Yes, a price fluctuation in stock is common, and a change of $15.35 followed by a percentage decrease the following day is a typical scenario in the stock market.

LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for. Type some numbers into the box to the right, and this page will find the LCM of those numbers.

LCM or least common multiple. The first number two or more numbers are a factor of. 10s multiples: 10, 20, 30, 40. 4: 4, 8, 12, 16, 20. The first similar one is 20 therefore 20 is your LCM :)

B is the one without a solution, because it states that a square root is less than a negative number. if √x is less than a negative value, then there isn't a number that you can plug into x that would make the inequality true. the square root of negative numbers creates an error (or an invisible number) so any values less than 0 plugged in for x don't satisfy the inequality. any positive numbers only give you positive square root results, so you don't get anything less than -17. for example:

√(36) < -17
6 < -17 is false.

the answer is d. -8x+6 is equal to 6x-2(7x-3)

if you open the bracket it will be 6x-14x+6 which simplifies to -8x+6 which is d

B is the practical domain of the function

The practical domain of the function f(p) = 12p + 5 is all integers from 1 to 9, inclusive.

The practical domain of the function f(p) = 12p + 5 refers to the set of all possible values that p, the number of packages of rolls, can take given the constraints of the situation described. Since the caterer cannot order partial packages and can order up to 9 packages, p must be an integer from 1 to 9 inclusive.

Moreover, these are the only values that make sense in the context of this problem since ordering 0 packages will not change the quantity of rolls they already have and ordering more than 9 packages is beyond the caterer's limit.

Answer:

Ques 1)

The student whose measurement might be in centimeters is:

                         Jim

Ques 2)

                 C.   5,000

Step-by-step explanation:

Ques 1)

We know that the standard unit centimeters or meters is used to represent the length of some object.

Here Jim measured an object's length.

Hence, he would represent his measurement in centimeters.

Ques 2)

We know that  1 m=100 cm

and 1 km=1000 m

Hence,

1 km=100000 cm

Hence,

0.05 km=0.05×100000 cm

Hence, we have:

0.05 km=5000 cm.

Hence, the correct answer is: Option: C

Answer:

#1. d. ann's

#2. 5,000

Step-by-step explanation:

306!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

LCM of 9,17 and 51 is 153

The answer is 60

A geometric mean of x and y is: √(x*y)

If we take that x = 75, y = 48, then the geometric mean of 75 and 48 is:
√(75*48) = √3600 = 60

i know this is late but the answer is 8 because your doing common factors so you you so 16 over 24 and see what number can go into both of those numbers which is 8 because 8 times 2=16 and 8 times 3= 24 so the answer is 8 again sorry i was late

Answer:

Maximum number of packets made = 8

Step-by-step explanation:

Number of pencils Rosy has = 16

Number of erasers Rosy has = 24

Now, it is given all the packets made contain equal number of pencils and erasers in each packet.

Therefore, to find the maximum number of packets : We find the HCF of both 16 and 24

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

Common factors are : 2, 2 and 2

⇒ HCF = 2 × 2 × 2

            = 8

So, 8 packets can be made from 16 pencils and 24 erasers so that each packet will contain 2 pencils and 3 erasers each.

Hence, Maximum number of packets made = 8

P=a+b+c. Sub in what we know: 29=a+a+(a+5). Combine like terms: 29=3a+5. Subtract 5 from both sides: 24=3a. Divide by 3: 8=a. Short sides: A=8m, b=8m, long side: c=13m. :)

The length of the rectangle is 10 cm and the width of the rectangle is 5 cm because 2(10)+2(5)=30

I answer you're problem.

Simplifying 9x + -3 = 5x + -15
  Reorder the terms: -3 + 9x = 5x + -15
  Reorder the terms: -3 + 9x = -15 + 5x
  Solving -3 + 9x = -15 + 5x
 Solving for variable 'x'.
 Move all terms containing x to the left, all other terms to the right.
  Add '-5x' to each side of the equation.
-3 + 9x + -5x = -15 + 5x + -5x
 Combine like terms:
 9x + -5x = 4x -3 + 4x = -15 + 5x + -5x
 Combine like terms:
 5x + -5x = 0 -3 + 4x = -15 + 0 -3 + 4x = -15
  Add '3' to each side of the equation.
 -3 + 3 + 4x = -15 + 3
  Combine like terms: -3 + 3 = 0 0 + 4x = -15 + 3
 4x = -15 + 3
 Combine like terms: -15 + 3 = -12 4x = -12
  Divide each side by '4'.
x = -3 
hope this helps you

Each year has 12 months so you just need to use the formula 12 * 4 = x to get the answer. The answer is 48

1. A. (-1,2) 
2. Sorry but i cant help you with this one
3. C. (3,2)

Hope this help! Need anything else just ask! :)

y = log x / x
y ` = (( log x )` * x - (x)` * log x) / x²=
= (1/x * x - 1 * log x ) / x² =
= ( 1 - log x ) / x²
y ` = 0;
1 - log x = 0
log x = 1
x = e
The maximum value:
y max = log e / e = 1 / e

3 + 4x = 2y - 9
2y = 4x + 3 + 9
2y = 4x + 12
y = 2x + 6

if it's parallel, than if y = ax + b, a = 2 and you need to find b

(4, -4)
x = 4
y = -4

-4 = 2*4 + b
-4 = 8 + b
b = -12

so an equation is:
y = 2x - 12

the number 5 is prime

Answer:

5

It's easy.

5 has only 2 factors: 1 and itself.

Therefore, it is prime:)

Step-by-step explanation:

Answer:

a.  The inequality will be:  [tex]\frac{3}{4}x\geq 10[/tex]

b.  Solving the inequality:  [tex]x\geq 13.333...[/tex]

c.  Jeanette should buy 14 tiles to form one row.

Step-by-step explanation:

Suppose, the number of tiles needed to make one row [tex]=x[/tex]

Each square tiles measure [tex]\frac{3}{4}[/tex] ft on each side.

So, the total length of [tex]x[/tex] number of tiles [tex]=\frac{3}{4}x\ ft[/tex]

Given that, the room is 10 ft wide.

So, the inequality will be:  [tex]\frac{3}{4}x\geq 10[/tex]

Solving the above inequality.....

[tex]\frac{3}{4}x\geq 10\\ \\ 3x\geq 4(10)\\ \\ 3x\geq 40\\ \\ x\geq \frac{40}{3}\\ \\ x\geq 13.333...\\ \\ x\approx 14[/tex]

So, Jeanette should buy 14 tiles to form one row.

The answer to this is shift right 4.

t = 1/3. For more help, comment below!

You can use both to prove the triangle is congruent.

So either ASA or AAS Theorem.

Hope this helped! :D

I hope this helps you




y=2/3x+7.3/3.1


y=2x+21/3


3y=2x+21


3y-2x=21

The answer is: [A]: -2x + 3y = 21 .
___________________
Note that "standard form" refers to:
_______________________________
→  Ax +By =C ;
      in which "x" and "y" are variables; "A" and "B" represent the coefficients before those variables, respectively; and "C" is a number (not a variable).
_______________________________
I shall demonstrate 2 (two) methods to convert the equation given:
________________________________________
→  y = (⅔) x + 7 ;   to "standard form".).
_____________________ 
Method 1:
_______________________
→ Given: y = (⅔)x + 7 ; 
______________________
→ Subtract "y" from EACH SIDE of the equation; and subtract "7" from EACH SIDE of the equation. Doing so: 1) puts the "x" and "y' values on one side of the equation; 2) removes a numeric value from the side of the equation with the "x" and "y" values; and 3) puts a numeric value on a side of the equation that does not have any "x" or "y" values — all three of which help to convert to equation to "standard form"—that is, " Ax + By = C " ;
____________
→ y = (⅔)x + 7 ;  → y − y − 7 = (⅔)x + 7 − y − 7 ; To get:
____________
→  -7 = (⅔)x − y  ↔ Rewrite as: (⅔)x − y = -7 ;
________________________
Note:  While this very would could be an answer in"standard form"; 
 "Ax + By = C", in which A = ⅔ , B = -1; and C = -7; 
                     (Note: There is an implied "1" before the "y", since  "1*y = y; 
                                    since: y*1 = y; (anything * 1 = said number); 
                                     and the coefficient is "-1" (NEGATIVE 1); since the                                               "standard form" is: "Ax + By = C; and we have: 

                                                                             (⅔)x − y = -7 ; so the:
"− y" functions as a: PLUS "negative 1y"; in this circumstance.
_________________________________________________
However, this equation—as written—does NOT match any of the answer choices given.
___________________
→So, now we should multiply our ENTIRE equation (BOTH SIDES) by "-3"; for the sake of:  
___________________
1) getting an answer choice that matches one of the answer choices given;
AND: 
2) for the general sake of simplicity—which would include getting the "-7" changed to a "positive 21" ;
_______________________.
 → {Note: A non-zero, negative integer, when multiplied by another non-zero, negative integer; will result in a non-zero POSITIVE integer.
 As such: -7 *-3 = 21}.
_________________
We have:  (⅔)x − y = -7 ; We shall multiply EACH SIDE of the equation by "-3";     → -3 * {(⅔)x − y = -7} ;
______________________
→  Note: Start with:
   →"(-3 * (⅔)x =  -3 * ⅔ * x ;
   →   -3 * ⅔  = [tex] \frac{-3}{1} [/tex] * [tex] \frac{2}{3} [/tex]  =(-3*2)/(1*3)
= -6 / 3 = -2 ;  → Don't forget to bring down the "x":  -2 * x = -2x ; 
→ So: - 3 *(⅔)x = - 2x ;
_________________
The next term: -3 *-1y = +3y ; (Note: -3 *-1y = (-3* -1)*y = 3*y = +3y ;
____________________
The next term: -3*(-7) = +21 ;
_______________________________________
→ to get:  → -2x + 3y = 21 ; which is: 'Answer choice: [A]'.
___________________________________________________________
Method 2:
____________
Given: y = (⅔)x + 7 ; write in standard form:
_________________________
 →  Given:    y = (⅔)x + 7 ; Multiply EACH SIDE of the equation by "3", to get rid of the fraction, "(⅔)" ; 
___________________________
 → 3* { y = (⅔)x + 7 } ;  to get:
____________________________
First term: 3*y  = 3y;  

Second term: 3*((⅔)x)) = 3 * (⅔) * x ;  3 * (⅔) = (3/1)*(2/3) =(3*2)/(1*3) =
6/3 = 2; → Don't forget the "x" → 2 * x
    = 2x;
___________________
Third term: 3*7 = 21;
__________________
→To get: → 3y = 2x + 21 ; 
____________________________
 → Now, subtract "3y" and subtract "21" from EACH SIDE of the equation:
____________________________
→ 3y = 2x + 21 ;   →  3y − 21 − 3y = 2x + 21 − 3y − 21 ;
_____________________________________________
to get: →  -21 = 2x − 3y ; → Rewrite as: → 2x − 3y = -21 ;

______________________________
Note:  This would appear in "standard form" equation; "Ax + By = C"; 
                       in which A = 2; B = 3; C = -21;
___________________________________________
However,  " 2x − 3y = -21 " ;  is NOT an answer choice given.
______________________________
However, there are answer choices given with "21" {note: "positive 21"} representing the number for "C" within the "standard form" equation: 
________
→ "Ax + By = C"
_________________
 So, given our equation:
________________________
→ 2x − 3y = -21 ;
          → We can multiply the ENTIRE equation (BOTH sides) by "-1" ; to                 change the "-21" value to "21" (positive 21); and see if the equation matches any of the answer choices:
______________
→  -1 * {2x − 3y = -21} ; 
______________
First term:  -1* 2x = -2x ; 

Second term: -1 * -3y = -1 * -3 * y = +3y ; 

Third term: -1 * -21 = + 21
___________________________
→  -2x + 3y = 21 ; which is:   'Answer choice: [A]'.

Slope equals rise over run. Rise is referring to y values and run is referring to X values. so if they say tests are the Y axis then you use 27 as the rise and 36 as the run. once you have the fraction it is simply reducing the fraction.
27/36= 9/12 = 3/4

Answer:

3/4

Step-by-step explanation:

I got it right.