Q3). 0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The values of :
[tex]x = 2[/tex][tex]y = 3[/tex]The given equations are :
[tex]0.4x + 0.3y = 1.7[/tex][tex]0.7x - 0.2y = 0.8[/tex]now, let's multiply both the equations with 10 on both sides.
so, now our equations will be :
[tex]4x + 3y = 17[/tex][tex]7x - 2y = 8[/tex]from Equation second :
[tex]7x - 2y = 8[/tex][tex]2y = 7x - 8[/tex][tex]y = \dfrac{7x - 8}{2} [/tex]now, let's substitute the value of y from here into Equation first.
[tex]4x + 3y = 17[/tex][tex]4x +3 \bigg ( \dfrac{7x - 8}{2} \bigg) = 17[/tex][tex]4x + \dfrac{21x - 24}{2} = 17[/tex][tex] \dfrac{8x + 21x - 24}{2} = 17[/tex][tex] \dfrac{ 29x - 24 }{2} = 17[/tex][tex]29x - 24 = 34[/tex][tex]29x = 34 + 24[/tex][tex]29x = 58[/tex][tex]x = \dfrac{58}{29} [/tex][tex]x = 2[/tex]here, we got the value of x = 2, let's plug it in equation second to find value of y :
[tex]7x - 2y = 8[/tex][tex]7(2) - 2y = 8[/tex][tex]14 - 2y = 8[/tex][tex]2y = 14 - 8[/tex][tex]2y = 6[/tex][tex]y = \dfrac{6}{2} [/tex][tex]y = 3[/tex]And value of y = 3
Related Questions
what is a numerical answer
Answers
Answer:
an answer to a question in number form??
Step-by-step explanation:
[tex]\sf 10\times 10=?[/tex]
Answers
Answer:
100
Step-by-step explanation:
hope it's help you
pls brainliest me:(
solve the inequality. -1/5c + 1 ≥ -4
Answers
Answer:
c<=25
Step-by-step explanation:
-1/5c>=-5
*-1 *-1
1/5<=5
*5 *5
c<=25
lets check
-1/5(25) +1>=-4
-5+1>=-4
-4>=-4
its correct :D
danielle walks 88 feet due east to the library from her house. from the library, she walks 187 feet northwest to the corner store. finally she walks approximately 139 feet from the corner store back home. does she live directly south of the corner sotre? justify your answser
Answers
Answer:
Step-by-step explanation:
The radius of a circle is 11 millimeters. What is the circle's circumference?
Answers
Answer:
C≈69.12
Step-by-step explanation:
C=2πr=2·π·11≈69.11504
help pls
what is the slope intercept form of (4,0) and (0,5)
Answers
Answer: y = -5/4x+5
Hope this helps!!!
The length of a warm is 3.25 inches right as a fraction in simplest form
Answers
Answer:
13/4 inches
Step-by-step explanation:
3.25 inches
325/100 inches
13/4 inches
Which expression is equivalent to (4√a²b)(3√b)?
a) 2ab√3
b) 3a²b²
c) 12ab
d) 12ab²
Answers
Answer:
A, is close to being correct, I'm not sure if 1 is missing from it, but it should be A, if 1 is missing on purpose then I am wrong.
Step-by-step explanation:
=4ab*3√b
12ab√b is the answer, if it helped, could I get brainiest?
Can you answer these plz?
Answers
Answer: the answer is d
write a real world problem that can be solved using the distance formula
Answers
A bus traveling at an average rate of 50 kilometers per hour made the trip to town in 6 hours. If it had traveled at 45 kilometers per hour, how many more minutes would it have taken to make the trip?
(The formula for distance problems is: distance = rate × time or
d = r × t)
What is 97 divided by 80257
Answers
Factor completely
[tex]3x²+20x-7[/tex]
Please show all workings
Answers
Answer:
(x + 7)(3x - 1)Step-by-step explanation:
See the steps below:
3x² + 20x - 7 = 3x² + 21x - x - 7 = 3x(x + 7) - (x + 7) = (x + 7)(3x - 1)First Method: (By splitting the middle term)
We have to find p and q such that p+q = 20 and
pq = 3×(-7) = -21
Let us looks for the pair of factors of -21 such that their sum is 20 and product is -21.
20 = 21 - 1 and -21 = 3(-7)
∴ 3x² + 20x - 7 = 3x² + 21x - 1x - 7
= 3x(x + 7) -1(x + 7)
= (x + 7)(3x - 1)
Second method: (Using the factor theorem)
what's 52 written as a decimel
Answers
Move the decimal to the left twice.
Answer:
0.52
Step-by-step explanation:
AM GIVING BRAINLY IF YOU CAN GIVE ME THE RIGHT ANSWER
Yasmin finds some nickels and pennies under the couch cushions. How many coins
does she have if she has 60 nickels and 120 pennies? How many coins does she have
if she has n nickels and p pennies?
Total coins, 60 nickels and 120 pennies: ____
Total coins, n nickels and p pennies: _____
Answers
Answer:
$1.20 in pennies, $3 in nickels
Step-by-step explanation:
(i fell like im wrong :{ )
Answer the question and explain how you got what you got please
Answers
The circle graph below shows the results of a survey. Of those surveyed, 20 said no. About how many people were surveyed?
Answers
Answer:
50 people
Step-by-step explanation:
20 / .4 = 50
if 40% = 20
then 20% = 10
therefore 60% = 20% *3
60% = 10 * 3
60% = 30 people
hope this helps
3. What word means out of one hundred?
Answers
Answer:
percent
Step-by-step explanation:
you can use percent
eg 40 out of 100 = 40%
Hello!
Answer:
0.01
Step-by-step explanation:
The word one hundredth represents the number 0.01 meaning one hundredth of the number 1
Hope this helps!
Please help me with this! I really need help!
Answers
Answer:
18
Step-by-step explanation:
Original price: $12
Mark-up: 45%
What is the selling price?
Answers
Answer:
The selling price is $17.40
Step-by-step explanation:
x = selling price
x = 12 + 0.45(12)
x = 12 + 5.4
x = 17.4
The final selling price is $17.40.
Percentages are percents of a whole. This means that 45% = 0.45. You can use this to your advangage when solving these types of equations.
Answer:
$17.40
Step-by-step explanation
Find what 45% of 12 is.
You can do this by multiplying 0.45 by 12 which is 5.4
Then you just add 5.4 to 12 which gives you 17.4
Someone plz help me :(
Answers
Answer:
A
Step-by-step explanation:
Because those points are bold. So these are the given points
How did you get 99 after that
Answers
Step by step explanation:
Please help!! due soon!!
i’m having trouble with a discussion for my class
“Devon is having difficulty determining if the relation given in an input-output table is a function.
Marco explains to him that in order to tell if the relation in the table is a function, Devon needs to check if any output values are reported. If they repeat and have different input values, the relation is not a function.
INSTRUCTIONS
If Marco is correct, respond to the following statement:
-Summarize Marco’s reasoning in your own words
If Marco is incorrect, respond to the following statement:
-Explain what is wrong with Marco’s reasoning and provide an example of a function.”
please help!!!!!
Answers
How do you find area with all of the different numbers like this?
Answers
hopefully this helps !
Answer:
split the shape into two different shapes, find the area of both and then add them together. the answer would be : 46 square centimeters.
Determine whether the ordered pair is a solution of the linear equation y = 11r - 4 (0 -4)
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
Yes, it is a solution.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I am assuming that 'r' is supposed to be 'x'.
⸻⸻⸻⸻
[tex]y=11r-4\\------------\\\rightarrow -4 = 11(0) - 4\\\\\rightarrow -4 = 0 -4\\\\\rightarrow \boxed{-4=-4}[/tex]
⸻⸻⸻⸻
The ordered pair is a solution. You can also tell that it is a solution because the equation given is in slope-intercept form, and '-4' is in b's spot.
⸻⸻⸻⸻
[tex]y = mx+b[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Miguel has $25. He spends $7.75 on a movie ticket, $3.65 for snacks, and $1.75 for bus fare each way.
How much money does Miguel have left?
Miguel has $
left.
Answers
Answer:
He will have $10.10 left !
Step-by-step explanation:
Work in photo !
What is the value of f?
−1/8f−3/4−1/4f=11
Answers
Answer:
equals x cuz x is in definite number
Step-by-step explanation:
A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting salary of $31,000Raise of $3000 each yearCompany B:Starting salary of $38,000Raise of $2000 each yearPart A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.
Answers
Using linear functions, we have that:
A.
For Company A: [tex]S_A(n) = 31000 + 3000n[/tex]
For Company B: [tex]S_B(n) = 38000 + 2000n[/tex]
B. The salaries will be the same after 7 years.
A linear function is given by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.Item a:
For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, [tex]b = 31000, m = 3000[/tex], and the salary after n years is given by:[tex]S_A(n) = 31000 + 3000n[/tex]
For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, [tex]b = 38000, m = 2000[/tex], and the salary after n years is given by:[tex]S_B(n) = 38000 + 2000n[/tex]
Item b:
They will be the same after n years, for which:[tex]S_A(n) = S_B(n)[/tex]
Then
[tex]31000 + 3000n = 38000 + 2000n[/tex]
[tex]1000n = 7000[/tex]
[tex]n = \frac{7000}{1000}[/tex]
[tex]n = 7[/tex]
The salaries will be the same after 7 years.
A similar problem is given at https://brainly.com/question/24282972
PLSSS HELP ME WITH THIS QUESTION!!!!
Answers
Answer:
?
Step-by-step explanation:
I don’t see the question
Seema is travelling to Spain. She travels a distance of 5,700 km by plane to Edinburgh and then another 2,100 km to Madrid. Both planes fly at an average speed of 900 kmh-1. What is her total flight time in hours and minutes, to the nearest minute?
Answers
5700+2100=7800
7800/5700= 1.37 hrs
1 hour 37 minutes
Find the slope and y-intercept for a line passing through the following two points, then create a slope intercept equation.
(5,3) and (4,5)
Slope=
Y-intercept=
Slope intercept equation=
Answers
Answer:
Slope = -2
Y-intercept = 13
y = -2x + 13
Step-by-step explanation:
(5-3)/(4-5) = 2/-1 = -2
3 = -2(5) + b
3 = -10 + b
b = 13
y = -2x + 13