[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-6)}{-3-0}\implies \cfrac{0+6}{-3}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=-2(x-0) \\\\\\ y+6=-2x\implies y=-2x-6[/tex]
Write an expression that is equal to 3x 2 1/4
there you go .............
Final answer:
The expression that includes 3x and ¼ should be written as 3x + ¼. Also, it's important to note that in math, an equality like 1 yard equals 3 feet can be manipulated by multiplication or division and will still remain true.
Explanation:
It seems there's a typo in the expression you've provided (3x 2 1/4). However, if you are looking for how to express the quantity 3x plus ¼, then the expression would be written as 3x + ¼. This expression shows the addition of the fraction ¼ to the variable 3x.
Regarding the references provided about exact numbers and equalities, in mathematics, we can use this information to solve various problems that involve proportions or unit conversions. For example, knowing that 1 yard equals 3 feet is an exact number equality that can be used in many calculations. You can adjust this equality by multiplication or division, and it will still hold true. Thus, if you divide both sides by 2, you would get ½ yard equals 1½ feet, which is still a true statement.
A shipping container in the shape of a rectangular prism is 60 ft long, 45 1/3 ft wide, and 14 ft tall. what is the volume of the container?
Answer: 38080 feet cubed
Step-by-step process:
60ft × 45 1/3ft = 2720ft squared
2720ft squared × 14ft = 38080 feet cubed
hello !
comment apprendre sa leçon ?
thanks
ça dépend de comment tu apprend le mieux. Si tu ne sais pas, essaye de: (puis regarde ensuite laquelle a été la plus utile)
- Faire des résumés de cous écrits
- Enregistrer ton cours puis l'écouter
- Faire des schémas si possible
- Réciter ton cours ou le lire à voix haute.
Si c'est pour la physique chimie que tu parles, déjà il faut d'abord comprendre c'est le plus important par exemple a chaque bilan que tu as noté tu prends une feuille et tu marque ce que tu as compris et ce que tu n'as pas compris ensuite si tu n'arrives pas trop tu peux regarder des vidéos pour t'expliquer et une fois que tu as tout compris tu récites.
Pour l'oral il te faut:
- avoir une bonne prononciation- intonation.
- si c'est un dialogue
le connaître par coeur et bien le jouer.
Je pense qu'il faut que tu t'entraine faire attention a la ponctuation ne pas oublier les majuscules et l'alinéa au début souvent et ne pas oublier les accords et fais attention au exceptions puis a la fin RELIE TOI c'est important pour savoir si ta pas fais d'erreur ou encore oublié des mots puis concentre toi pour éviter des fautes bêtes et revoie les règles éventuelles que tu as déjà vu
Réviser à l'avane, et revoir tous les soirs.
- Pareil, la réviser tous les soirs, à force, elle rentre dans le crane
- Décrire d'abord ce qu'on voit en 1er, puis les détails, et surtout, tout expliquer
- Je n'ai pas trop compris ta dernière question, mais je suppose que tu parles du vocabulaire . Il faut apprendre ceux que tu as écris sur ton cahier, et ceux de ton manuel .
Je te conseille de faire des fiche (les britol), avec des couleurs tout ça, ça permet de mieux apprendre . ;)
Essaye de réssiter l'essentiel à l'écrit, c'est trè efficace .
To learn effectively, prepare your materials, actively engage with the content, understand underlying concepts, use visual aids, practice, teach others, manage time, review regularly, stay organized, maintain a healthy lifestyle, and adopt a positive mindset.
Learning your lesson effectively requires a structured and proactive approach. Here's how to do it:
1. Preparation: Begin by organizing your study materials, ensuring you have access to textbooks, notes, and any necessary resources. Find a quiet and comfortable study environment that minimizes distractions.
2. Active Engagement: Avoid passive reading or rote memorization. Instead, actively engage with the material. Summarize key points in your own words, ask questions, and create flashcards or mind maps to aid comprehension.
3. Conceptual Understanding: Strive to understand the underlying concepts rather than just memorizing facts. If you can explain a concept to someone else, it's a sign you've grasped it.
4. Visual Aids: Utilize visual aids like diagrams, charts, and graphs to help visualize complex information and enhance understanding.
5. Practice and Application: For subjects like math or science, practice problems and exercises are essential. Repetition and application help reinforce learning.
6. Teaching Others: Teaching someone else what you've learned can solidify your own understanding and highlight areas where you may need further clarification.
7. Effective Time Management: Allocate specific time slots for studying, and take regular breaks to maintain focus. Short, concentrated study sessions are often more productive than lengthy, distracted ones.
8. Regular Review: Periodically review what you've learned to reinforce your memory. Self-quizzing and practice tests are effective tools for self-assessment.
9. Stay Organized: Keep your study materials and notes well-organized. A clutter-free study space promotes concentration and efficiency.
10. Healthy Lifestyle: Prioritize a healthy lifestyle, which includes getting enough sleep, maintaining a balanced diet, and staying hydrated. Physical and mental well-being are vital for effective learning.
11. Positive Mindset: Maintain a positive attitude. If you encounter challenges, view them as opportunities for growth. Seek assistance when needed and stay persistent.
Remember, different individuals have different learning styles. Experiment with various methods to discover what works best for you. Consistency and dedication are essential for successful learning.
Learn more about Learning your lesson here:
https://brainly.com/question/35599324
#SPJ12
The probable question may be:
Comment on how to learn your lesson?
How many groups of 5 can u make out of 670
Answer:
134
Step-by-step explanation:
670/5 = 134
The answer is 130=5*130
James had $240 more than his brother,Sam,at first.After their mother gave James $30 and Sam $50,James had twice as much money as Sam.How much money did Sam have at first?
Sam had 85$
James has 240+30=270 then 270/2 is 135
And because mom gave 50$ to sam subtract 50 135-50= 85 so sam had at first 85$
Final answer:
Sam had $170 at first given all the conditions.
Explanation:
Let's assume Sam had x dollars at first. Since James had $240 more than Sam at first, this means James had x + $240. After their mother gave James $30 and Sam $50, James had x + $240 + $30 and Sam had x + $50. We are told that after receiving the money, James had twice as much as Sam, which can be represented by the equation 2(x + $50) = x + $270. Solving for x, we get x + $100 = x + $270.
Subtracting x from both sides of the equation, we have $100 = $270, which is not possible, indicating a mistake has been made. We should redefine our equation as 2(x + $50) = (x + $240) + $30. Solving this correct equation, we get 2x + $100 = x + $270. Subtracting x and $100 from both sides, we find that x = $170. Therefore, Sam had $170 at first.
Find the surface area of a sphere with radius 1/4 in terms of pi
Answer:
pi/4
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
We know the radius is 1/4
SA = 4 * pi (1/4)^2
SA = 4 * pi (1/16)
= pi/4
if a number is increased by 100%, how does the increased number compare with the original number? explain
Hailey and Kacie are selling candles to raise money. • Hailey is selling candles for $4 each and has already raised $160. • Kacie is selling candles for $7 each and has already raised $70. Which equation can be used to find c, the number of candles each girl needs to sell so that the total amount raised is the same for both Hailey and Kacie?
The correct option is B.
The equation is B. 4c + 70 = 7c + 160, where c represents the number of candles sold by each girl.
To find the equation representing the scenario where both Hailey and Kacie have raised the same amount of money by selling candles, we can set up an equation based on the total amount raised by each girl.
Let's represent:
- Hailey's total amount raised as H
- Kacie's total amount raised as K
- The number of candles each girl sells as c
Given:
- Hailey's total amount raised, H = $160
- Kacie's total amount raised, K = $70
The equation representing the scenario where both Hailey and Kacie have raised the same amount of money by selling candles is:
4c (Hailey's selling price per candle) = 7c (Kacie's selling price per candle)
So, we have:
4c = 7c
To solve for c, we need to make the total amounts equal on both sides. We already have the total amounts raised by each girl:
Total amount raised by Hailey = $160
Total amount raised by Kacie = $70
Now, let's set up the equation:
4c (for Hailey) = 7c (for Kacie)
4c - 7c = 160 - 70
-3c = 90
Now, divide both sides by -3 to solve for c:
c = -90 / -3
c = 30
So, each girl needs to sell 30 candles to raise the same amount of money.
Therefore, the correct equation representing the scenario is:
B. 4c + 70 = 7c + 160
The complete question is here:
Hailey and Kacie are selling candles to raise money.
• Hailey is selling candles for $4 each and has already raised $160.
• Kacie is selling candles for $7 each and has already raised $70
Which equation can be used to find c, the number of candles each girl needs to sell so that the total amount raised is the same for both Hailey and Kacie?
A. 4c+7c=160+70
B. 4c+70=7c+160
C. 4c+160=7c+70
D. 4+160=7c+70c
counting backwards from 5, what number is 4?
Answer:
The number 4 is the first term of the sequence
Step-by-step explanation:
we know that
Counting backwards is when the numbers are count in reverse sequence
Is also know as 1 less
In this problem the sequence of counting backwards from 5 is equal to
4,3,2,1,0
therefore
The number 4 is the first term of the sequence
A cube has 6 faces that are all ______.
Fill in the rest
Answer:
Congruent
Step-by-step explanation:
If the faces weren't the same it'd be a rectangular prism :)
Estimate the probability of each event occurring. Write the probability as a fraction, as a decimal, and as a,percent.1- One of the next 7 days will be a Friday.
Answer:
1/1, 1.0, 100%
Step-by-step explanation:
There are only seven days in a week, so no matter which day you start on, the next seven days will always include a Friday.
Wendy earned $14 per hour for x hours, plus a bonus of $50. Which expression represents how much Wendy earned
Answer:
W(x) = $50 + ($14/hr)x
Step-by-step explanation:
Let W(x) represent Wendy's earnings, and x the # of hours she worked.
Then W(x) = $50 + ($14/hr)x
Triangle abc has vertices A (4,3) B(1,4) and c (2,1) . What are the vertices of the image after the reflection across the line y=-1
The vertices of the image triangle ABC, after reflecting across the line (y = -1), are A' (4, 5), B' (1, 6), and C' (2, 3).
To find the image of the triangle ABC after a reflection across the line (y = -1), you can use the formula for the reflection of a point across a line.
The formula for the reflection of a point (x, y) across the line (y = mx + b) is given by:
[tex]\[\left(\frac{{x - m(y - b)}}{{1 + m^2}}, \frac{{y - m(x - a)}}{{1 + m^2}}\right)\][/tex]
In this case, the line of reflection is (y = -1), so (m = 0) and (b = -1). Therefore, the formula simplifies to:
[tex]\[\left(x, \frac{{y + 2}}{{1}}\right)\][/tex]
Now, apply this formula to each vertex of triangle ABC.
1. For point A(4, 3):
[tex]\[A' = \left(4, \frac{{3 + 2}}{{1}}\right) = (4, 5)\][/tex]
2. For point B(1, 4):
[tex]\[B' = \left(1, \frac{{4 + 2}}{{1}}\right) = (1, 6)\][/tex]
3. For point C(2, 1):
[tex]\[C' = \left(2, \frac{{1 + 2}}{{1}}\right) = (2, 3)\][/tex]
So, the vertices of the image triangle after the reflection across the line (y = -1) are A'(4, 5), B'(1, 6), and C'(2, 3).
Find the distance between the points (4, 2) and (-8, 7).
A.
13
B.
15
C.
12
D.
11
Please select the best answer from the choices provided
A
B
C
D
The distance between the points (4,2) and (-8,7) is found by using the distance formula derived from the Pythagorean theorem. By substituting the coordinates into the formula, you can solve to find that the distance is 13 units.
Explanation:The best way to find the distance between the points (4,2) and (-8,7) is to use the distance formula. The distance formula is derived from the Pythagorean theorem and is defined as follows:
√[(x2-x1)² + (y2-y1)²]
Here, (x1, y1) and (x2, y2) are the coordinates of the two given points. For your points, x1=4, y1=2, x2=-8, y2=7.
By substituting these into the distance formula, we get √[(-8-4)² + (7-2)²] = √[(-12)² + (5)²] = √[144 + 25] = √169 = 13.
So, the correct answer is A. 13. Therefore, the distance between the points (4,2) and (-8,7) is 13 units.
Learn more about Distance Formula here:https://brainly.com/question/11231122
#SPJ2
The sum of two numbers is 44. One number is 2 more than twice the other. Write a system of equations that defines this situation and solve using any method.
Answer:
20 + 24 = 44
Hoped this helped :)
The equations are x + y = 44 and y = 2x + 2. Then the value of the two numbers is 14 and 30.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 44. One number is 2 more than twice the other.
Let the two numbers be 'x', 'y' and y > x. Then we have
x + y = 44 ...1
y = 2x + 2 ...2
From equations 1 and 2, then we have
x + 2x + 2 = 44
3x = 42
x = 14
Then the value of 'y' is calculated as,
y = 2 (14) + 2
y = 28 + 2
y = 30
The equations are x + y = 44 and y = 2x + 2. Then the value of the two numbers is 14 and 30.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Use the drop down to complete the following inequality.
Answer:
The inequality is [tex]c+2< 1[/tex]
Step-by-step explanation:
we know that
In the figure, the value of c is less than -1
so
[tex]c< -1[/tex]
Adds both side +2
[tex]c+2< -1+2[/tex]
[tex]c+2< 1[/tex]
Answer:
The inequality is c+2< 1
Step-by-step explanation:
Please help me! Due Thursday!
Answer:
A. 1 inch
Step-by-step explanation:
10 feet = 120 inches.
Now figure out how many times 7 goes into 120, which is 17.
17x7in=119 inches. Therefore you have 1 inch left.
Let me know if you need me to explain in more detail, I kinda skimmed through it :)
If that value of x in the above diagram equals 26
Please put the picture so I can answer the question
NEED HELP ASAP!!!!!!!!!!!!!!!!Find the sum and then classify it.
3/4 + √64
A) 2.9580398..., irrational
B) 8.0467384..., irrational
C) 8.75, rational
D) 64.75, rational
Answer:
C
Step-by-step explanation:
Adding the given sum
[tex]\frac{3}{4}[/tex] + [tex]\sqrt{64}[/tex]
= 0.75 + 8 = 8.75
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] where a and b are integers
8.75 = [tex]\frac{875}{100}[/tex] ← a rational number
Answer: OPTION C
Step-by-step explanation:
Descompose 64 into its prime numbers:
[tex]64=2*2*2*2*2*2=2^6[/tex]
Rewrite the expression as following, and simplify:
[tex]=\frac{3}{4}+\sqrt{2^6}\\\\=\frac{3}{4}+2^3\\\\=\frac{3}{4}+8\\\\\frac{3}{4}+\frac{8}{1}[/tex]
Find the least common denominator:
[tex]4=2*2*1=2^2*1\\1=1\\LCD=2^2*1=4[/tex]
Now you can make the addition:
[tex]\frac{(3*1)+(8*4)}{4}=\frac{3+32}{4}=\frac{35}{4}=8.75[/tex]
As 8.75 can be written as a fraction, then it is rational.
What is the square root of 64^16
Answer:
Step-by-step explanation:
The easiest way to do this is to multiply
64 * 16 = 1024
And take the square root of that number
√(1024) = 32
Another way to do this is
√64 * √16
= 8 * 4
= 32
which expressions are equivalent to the one below? check all that apply.
5^3*5^x
A. 5^3-x
B.125*5^x
C.25^3x
D.5^3+x
E.5^3x
F.(5*x)^3
Answer: E
I'm not completely sure, but I tried.
What is the capital of Nepal?
ANSWER:
the capital of Nepal is Kathmandu.
~batmans wife dun dun dun...aka ~serenitybella
Hello, thanks for using Brainly.
The capital of Nepal is Kathmandu.
The measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. Find the measures of all three angles.
Hey there!
The interior angles of a triangle always have to add up to 180 degrees.
We are told that this is a right triangle, so one of the angles must be 90 degrees. This means that the measures of the other two angles must add up to 90.
90 + m<1 + m<2 = 180
If the smallest angle is 45 degrees less than the next largest angle, the only option for this would be for both of the remaining angles to be 45 degrees. The next largest angle would be the right angle, and 90 - 45 = 45.
We can't have any of the other angles be more than 90 degrees because then it wouldn't be a proper triangle.
So, the measures of the angles are going to be 90, 45, and 45.
Hope this helps!
The measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )
What is right angle triangle property?In a right angle triangle, the largest angle is equal to the 90 degrees, and the some of the other two angle is equal to the 90 degrees.
Given information-
The smallest angle in a right triangle is 45° less than the measure of the larger angle.
Suppose the smallest angle of the right triangle is x degrees.
Now as the smallest angle in a right triangle is 45° less than the measure of the larger angle and the value of largest angle is 90 degrees in the right angle triangle. Thus,
[tex]x=90-45\\x=45^o[/tex]
Hence, the measurement of the smallest angle is 45 degrees.
Let the other angle of the right angle triangle is y degrees.
As the some of the all the angles of a triangle is equal the 180 degrees. Thus,
[tex]x+y+90=180\\45+y=180-90\\y=90-45\\y=45[/tex]
Thus, the measurement of the other angle is 45 degrees.
Hence, the measurement of the smallest angle in a right triangle is 45° less than the measure of the next larger angle. The three angle of right are ( [tex]90^o, 45^o, 45^o[/tex] )
Learn more about the right angle triangle property here;
https://brainly.com/question/22790996
Find the product in simplest form 8/21 * 5/16
Just multiply across which is
8*5 = 40
21*16 = 336
40/336 = 5/42
This is correct answer
I hope this answer helped you!!! Thank you!!!
The product of the given expression will be 5/42.
What is product?A product in maths defined as the result of two or more numbers when multiplied together.
Given that, 8/21 * 5/16
8*5 = 40
21*16 = 336
40/336 = 5/42
Hence, The product of the given expression will be 5/42.
For more references on product, click;
https://brainly.com/question/22852400
#SPJ5
A jogger travels 40 m along a path in 20 seconds. What is the jogger's average speed
Answer:
30 m
Step-by-step explanation:
Answer:
2 m per second or it could also be 120 m per minute or you could also say 7200 m per hour all of the above are correct but it just depends on whether your teacher wants it to be converted into minutes seconds hours or days.
Step-by-step explanation:
Please help quickly, I don't understand.
Image attached
Answer:
ok so
Step-by-step explanation:
you basically hafta calulate funtion f w factor two
hope this helps!
Carla spent two-fifths of her savings on a bracelet and had $\$ 9$ left over. How many dollars did Carla's bracelet cost?
Answer:
The cost of the bracelet was [tex]\$6[/tex]
Step-by-step explanation:
Let
x------> amount of Carla's savings
y-----> the cost of bracelet
we know that
[tex]y=\frac{2}{5}x[/tex] -----> equation A
[tex]1-\frac{2}{5}=\frac{3}{5}[/tex]
so
[tex]9=\frac{3}{5}x[/tex] ----> solve for x
[tex]x=9*5/3=\$15[/tex]
substitute the value of x in the equation A and solve for y
[tex]y=\frac{2}{5}(15)=\$6[/tex]
Answer: $6
Step-by-step explanation:
To find out how much Carla's bracelet cost, we can start by calculating how much of her savings she spent on the bracelet.
We know that Carla spent two-fifths of her savings on the bracelet, and she had $9 left over. This means that the amount she spent on the bracelet is equal to three-fifths of her savings, since she had $9 left over.
To find the value of three-fifths of Carla's savings, we can set up an equation:
$\frac{3}{5} \times \text{savings} = 9$
To solve this equation, we can multiply both sides by $\frac{5}{3}$ to isolate the variable:
$\text{savings} = \frac{9 \times 5}{3} = 15$
So Carla's total savings is $15.
Now we can find the cost of the bracelet by multiplying Carla's savings by the fraction she spent:
$\frac{2}{5} \times 15 = 6$
Therefore, Carla's bracelet cost $6.
help me please, match the number to the letter
Answer: 1b 2c 3e? 4d 5a
Step-by-step explanation:
There are 2 items that need to be checked.
The midpoint of the coordinates is the center of the circleThe diameter of the coordinates is the diameter of the circle.Midpoint:
[tex]Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\1)\ \bigg(\dfrac{-4+2}{2},\dfrac{-1+10}{2}\bigg)=\bigg(\dfrac{-2}{2},\dfrac{9}{2}\bigg)=(-1, 4.5)\implies \text{equation b}\\\\\\2)\ \bigg(\dfrac{1+7}{2},\dfrac{3-10}{2}\bigg)=\bigg(\dfrac{8}{2},\dfrac{-7}{2}\bigg)=(4, -3.5)\implies \text{equation c}\\\\\\3)\ \bigg(\dfrac{4-8}{2},\dfrac{-2+6}{2}\bigg)=\bigg(\dfrac{-4}{2},\dfrac{4}{2}\bigg)=(-2,2 )\implies \text{none of the equations}[/tex]
[tex]4)\ \bigg(\dfrac{6-4}{2},\dfrac{3-13}{2}\bigg)=\bigg(\dfrac{2}{2},\dfrac{-10}{2}\bigg)=(1, -5)\implies \text{equation d}\\\\\\5)\ \bigg(\dfrac{7-1}{2},\dfrac{5+8}{2}\bigg)=\bigg(\dfrac{6}{2},\dfrac{13}{2}\bigg)=(3, 6.5)\implies \text{equation a}[/tex]
Diameter:
distance between coordinates = 2√r² (from circle equation)
[tex]\text{formula for coordinates is: }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\1)\ \text{Coordinates: } d=\sqrt{(-4-2)^2+(-1-10)^2}=\sqrt{36+121}=12.5\\b)\ \text{Circle: }2\sqrt{39.25}=12.5\\\\\\2)\ \text{Coordinates: } d=\sqrt{(1-7)^2+(3+10)^2}=\sqrt{36+169}=14.3\\c)\ \text{Circle: }2\sqrt{51.25}=14.3\\\\\\4)\ \text{Coordinates: } d=\sqrt{(6+4)^2+(3+13)^2}=\sqrt{100+256}=18.9\\d)\ \text{Circle: }2\sqrt{89}=18.9[/tex]
[tex]5)\ \text{Coordinates: } d=\sqrt{(7+1)^2+(5-8)^2}=\sqrt{64+9}=8.5\\a)\ \text{Circle: }2\sqrt{18.25}=8.5[/tex]
Check:
Graph to confirm your answers are correct (see attached)
If the telescope is 1 m deep and 20 m wide, how far is the focus from the vertex?
1 m
25 m
100 m
5 m
Answer:
25
Step-by-step explanation:
The focus is from the vertex is 5m.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The distance from the vertex of a parabolic surface to its focus depends on the shape of the parabola, and specifically on its focal length.
The focal length of a parabolic surface is given by the equation:
f = d²/ (16w)
where f is the focal length, d is the depth of the parabolic surface, and w is the width of the parabolic surface.
Plugging in the given values, we get:
f = 1² / (16 x20)
= 1/320 km
To convert this distance to meters, we multiply by 1000:
f = 1/320 x 1000 = 3.125 meters
Therefore, the focus is from the vertex is 5m.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ3
2/5 (3r+4) =10 solve for r
Answer:
x=7
Step-by-step explanation:
✯Hii✯
↪ expand the brackets
↪ then solve normally
↪ x will be 7
❤Kathy❤
For this case we have the following equation:
[tex]\frac {2} {5} * (3r + 4) = 10[/tex]
We must clear the variable "r":
We multiply by[tex]\frac {2} {5} * (3r + 4) = 10[/tex] \ frac {5} {2} on both sides of the equation:
[tex]\frac {2} {5} * \frac {5} {2} (3r + 4) = 10 * \frac {5} {2}\\3r + 4 = \frac {50} {2}\\3r + 4 = 25[/tex]
We subtract 4 on both sides of the equation:
[tex]3r + 4-4 = 25-4\\3r = 21[/tex]
We divide between 3 on both sides of the equation:
[tex]\frac {3r} {3} = \frac {21} {3}\\r = 7[/tex]
Answer:
[tex]r = 7[/tex]