Answers
Answer:
x = 11/7 y = -1/7
Step-by-step explanation:
2x + y = 3
2x + y - 2y = 3 - 2y
y = 3 - 2x
x - 3(3 - 2x) = 2
x - 9 + 6x = 2
x - 9 + 6x + 9 = 2 + 9
x + 6x = 11
7x = 11
7x / 7 = 11/7
x = 11/7
2(11/7) + y = 3
22/7 + y = 3
22/7 + y - 22/7 = 3 - 22/7
y = -1/7
Answer:
(¹¹⁄₇, -⅐)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}2x+y=3&\\x-3y=2\end{cases}[/tex]
What is the elimination method?
The elimination method is when you rewrite the two equations so that when added together, one of the two variables (x or y) is eliminated.
Step 1: Multiply the first equation by [tex]3[/tex].
[tex]\implies (3)2x+(3)y=(3)3[/tex]
[tex]\implies 6x+3y=9[/tex]
Step 2: Add the above equation to the second equation to eliminate 3y.
[tex]\begin{array}{r l}6x+3y & = 9\\+\ x-3y&=2\\\cline{1-2}7x&=11 \end{array}[/tex]
Step 3: Solve for x (by dividing both sides by 7).
[tex]\implies \dfrac{7x}{7}=\dfrac{11}{7}[/tex]
[tex]\implies \boxed{x=\dfrac{11}{7}}[/tex]
Step 4: Substitute ¹¹⁄₇ as the value of [tex]x[/tex] in any of the given equations and solve for [tex]y[/tex].
[tex]\implies 2\left(\dfrac{11}{7}\right)+y=3[/tex]
[tex]\implies \dfrac{22}{7}+y=3[/tex]
Step 5: Convert [tex]3[/tex] into a fraction and subtract ²²⁄₇ from both sides of the equation.
[tex]\implies \dfrac{22}{7}-\dfrac{22}{7}+y=\dfrac{21}{7}-\dfrac{22}{7}[/tex]
[tex]\implies \boxed{y=-\dfrac{1}{7}}[/tex]
The solution to the given system of equations is (¹¹⁄₇, -⅐).
Learn more here:
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Related Questions
Josh can run 7 miles in 45 minutes. How long would it take him to run 21 miles?
Answers
Answer: 135 minutes
Step-by-step explanation:
45/7= 6.42857142857
6.42857142857 x 21 = 135
Solve the system of equations algebraically.
D=50t
D=42t+500
Answers
We now need to solve for D. We need to plug 62.5 into t to solve this. I will use the equation D = 50t for this. D = 50(62.5) is 3,125. Therefore, D is 3,125.
t is 62.5, and D is 3,125.
14. Explain why triangle ABC is similar to triangle ADE. (Hint: rays of light are parallel.)
Answers
Answer:
They are similar because both triangles are the same. Triangle ABC is just smaller than triangle ADE.
PLEASE GUYS I NEED HELP!! IS THERE ANYONE WHO KNOW THIS TWO QUESTIONS :')))
Answers
Answer:
figure it out your self stop having other people do your work for you
Step-by-step explanation:
- 24 × - 8 -13
calculate
Answers
Answer:
179
Step-by-step explanation:
- 24 × - 8 -13
(- 24 × - 8) - 13
192 - 13
179
Hope this helps!
Match the Graph(Time and Depth of water) to the correct cylinder
Answers
Graph 2 = cylinder 1
Graph 3 = cylinder 2
Five students each ate 2/3 of their own bag of skittles. What was the total amount eaten?
Answers
Answer:
Total number of students= 5
Each ate = 2/3
Total amount eaten=?
Then,
2/3×5
=10/3
Hence 10/3 is the total amount eaten.
What is the answer to -x/4<7
Answers
Answer:
[tex]x>-28[/tex]
Step-by-step explanation:
Given the following question:
[tex]-x\div4<7[/tex]
In order to find the answer, we have to isolate the variable by multiplying four on both sides.
[tex]\frac{-x}{4} <7[/tex]
[tex]\frac{-x}{4} =x\times4[/tex]
[tex]7\times4=28[/tex]
[tex]-x>28[/tex]
[tex]-x\times-1=x[/tex]
[tex]28\times-1=-28[/tex]
[tex]x>-28[/tex]
Hope this helps.
Answer:
x>-28
Step-by-step explanation:
First to cancel out the fraction times the whole fraction by the denominator 4 AND the 7 then multiply 7*4=28
This leaves you with
-x<28
To get rid of the -x divide both sides of the inequality by -x, This also changes the sign of the inequality to > Because you are Dividing both sides of the inequality
Negative/Negative =positive
Positive/Negative =Negative
So, You get
x>-28
HELP ME WITH PROVING LINES PARALLEL PLEASE
Answers
Answer:
∠2 = ∠5 (co-interior angles)
∠2 = 3x - 20
∠5 = x + 20
So,
∠2 = ∠5
3x - 20 = x + 20
3x - x = 20 + 20
2x = 40
x = 40/2
x = 20
Hope it helps ⚜
2 1/4 x4/5 ÷ 3/5 - 1/2
Answers
Answer:
2.5.2 1/2.Step-by-step explanation:
We need to solve in the most hard way.
Equation simplified:
((((2 1/4) * 4/5) / (3/5)) - (1/2)Solve left to right:
((((2 1/4) * 4/5) / (3/5)) - (1/2)= ((((2 1/4) * 4/5) / (3/5))= 3 - 1/2= 2 1/2.If we solve this separately, starting with 2 1/4 * 4/5 without dividing 3/5, we would be doing it wrong.
If we do it like this, we would get the correct answer.
2 1/2 is the answer.
The quotient of 20 and x, increased by seven
Answers
Hi!
"The quotient of" means you divide, so the quotient of 20 and x means you divide 20 by x:
20:x
Now, increase by 7:
(20:x)+7 (Answer)
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts :)
❖Sparkles❖ here to help
[tex]\dfrac{20}{x} +7[/tex]
What is quotient?Quotient is defined as when divide one number by another, the result is called the quotient.
The quotient of 20 and x, increased by seven
The following are possible interpretations of the given expression.
[tex]\dfrac{20}{x} +7[/tex]
Here, "quotient" is the answer to a division.
Learn more about quotient here:
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#SPJ2
what is the mode of 5, 8, 9, 10, 4, 5, 10, 12, 5
Answers
Answer:
How to find the mode
Step-by-step explanation:
First, put the numbers in order from lowest to highest. The number that shows up the most is the mode. The most common number is 5.
Your mode would be 5.
Good luck :)
whats the square root of 54x32
Answers
Answer:
41.6
Step-by-step explanation:
54 * 32 = 1728
square root of 1728 is 41.6
Hope this helps!
Hope this helps!
Keshav gave Rs. 3298.36 to his brother and Rs. 2149.67 to his sister. The remaining amount was given to his mother. If he had Rs. 9764.32 in all, how much did he give to her mother. ?
Answers
its not fair h0w i cant get to ask for help without pay like yall need to fix. Heres my question 52 companies; 25% increase
Answers
Which of the following expression is equivalent to 35+14
Answers
Answer:
49
Step-by-step explanation:
I would add the tens place and ones place together. The tens place; is 30+10 (From the 3 and 1 in the tens place) and 5+4, which is 40+9, which is 49.
Negative thirteen decreased by 3 times a number
A) 13 - 3x
B) -13 - 3x
C) -13 + 3x
D) 13 + 3x
Answers
Answer:
C
Step-by-step explanation:
Let's assume the number is x.
Negative means a minus or subtraction.
Decrease also means a minus or subtraction.
Three times the number which we have assumed to be x will be: 3*x=3x
The answer:
-13 - 3x
Peter worked 2 part-time jobs and earned $189.00 for working a total of 24 hours at both jobs. He is paid $6.00 per hour at Job A abs $9.00 per hour at Job B. How many hours did Peter work at Job A?
Answers
This is with tangents I have already figured out one portion of the problem please help
Answers
Answer:
-5
Step-by-step explanation:
when x is squared it will always be positive so x can be negative or positive
Answer:
Step-by-step explanation:
Tangents drawn to the circumference of a circle are equal.
x^2 + 8 = 33 Subtract 8 from both sides
x^2+8-8 = 33 - 8 Combine
x^2 = 25 Take the square root of both sides.
√x^2 = √25
x = ± 5
So x = 5.
x can also be - 5. The minus goes away when you calculate x^2
because x is squared, you can get two answers, but be very careful when doing geometry questions that the minus number is used in such a way that only a positive value will be left.
Jack ran 2/8 mile and Roy ran 2/3 mile. What benchmark fractions can be used to estimate how much farther Roy ran than Jack?
Answers
Answer:
Jack ran 1/4 of a mile.
Step-by-step explanation:
Step-by-step explanation:
jack ran 1/4 of a mile more than jack did
Hey, I literally have no idea what to do here, its on providing the congruence statement supported by angle bisector theorem. The diagrams are really weird and I don't know exactly how to represent this, can you help me out? Sorry if the picture is too blurry, it says "each figure shows a triangle with its three angle bisectors intersecting at point P, answer each question by providing the congruence statement supported by the angle bisector theorem."
Answers
Answer:
I can't really tell my vision is probably blurry
Step-by-step explanation:
what is equivalent to 2/5 where the numerator is 18 less than the denominator/
Answers
Answer:
12/30
Step-by-step explanation:
See the picture and let me know if you have any questions
A common denominator for 5/6 and 3/5 is
Answers
30
factors of 6: 6 12 18 24 30
factors of 5: 5 10 15 20 25 30
so its 30
or simply multiple the denominators 6×5=30
1) Each student has 2 shoes. How many shoes are there for 8 students?
Answers
16 shoes are there for 8 students
If 14 is 35% of a value, what is that value?
Answers
Divides 2/10=/5 pleased give me an answer i need it i beg you
a
Answers
Answer:
2/10= 0.2
10/2= 5
Is this what u are looking for?
Advanced Trigonometry please help!!!!!
Answers
Answer:
i) Area = 25 m²
ii) slope of roof = 36.87°
Step-by-step explanation:
(i) Let the midpoint of AB = M
Find BC by using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Legs = MB and MC, hypotenuse = BC
⇒ 1.5² + 2² = BC²
⇒ 6.25 = BC²
⇒ BC = √(6.25) = 2.5
Area of a rectangle = width x length = BC x BE
⇒ area of BCFE = 2.5 x 5 = 12.5
⇒ area of ACFD = area of BCFE = 12.5
Therefore area covered by tiles = 12.5 + 12.5 = 25 m²
ii)
The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.
Using sin(A)/a = sin(B)/b = sin(C)/c
sin(90)/2.5 = sin(B)/1.5
0.4 = sin(B)/1.5
0.6 = sin(B)
∠B = 36.87°
A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times. What is the experimental probability of the arrow stopping over Section 1?.
Answers
Experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.
What is experimental probability?Experimental Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event during the experiment.
Given information-
Total number of sections in a spinner is 3.
Total number of times the trials done is 80.
The three section table given in the problem has the values as,
The values of the first column is section 1 and 20.The values of the second column is section 2 and 36.The values of the third column is section 3 and 24.The experimental probability of the arrow stopping over Section 1 has to be find out.
As the experimental probability of an event is the ratio of number of times it took place to the total trails. Thus the experimental probability of the arrow stopping over Section 1 is,
[tex]P=\dfrac{20}{80}\\P=\dfrac{1}{4}\\P=0.25[/tex]
Thus experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.
Learn more about the experimental probability here;
https://brainly.com/question/8652467
PLEASE HELP ME. I DESPERATELY NEED IT
Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)
EXPLAIN. STEP BY STEP
Answers
Answer:
SLOPE IS = 2
Step-by-step explanation:
to find the slope you should remeber the slope equation:
[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex](x_{1} ,y_{1} )=(-4,-1)\\(x_{2} ,y_{2} )=(-3,1)[/tex]
[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\M=\frac{1-(-1)}{-3-(-4)}[/tex]
[tex]M=\frac{2}{1} \\M=2[/tex]
SLOPE IS =2
slope: 2
Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line a: -x+2y=3
Line b: -6x=3y-1
Line c: 4x-8y=5
Answers
Answer:
See below
Step-by-step explanation:
Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
Line a: -x+2y=3
2y = x + 3
y = (1/2)x + 3
Line b: -6x=3y-1
-3y = 6x - 1
y = -2x + (1/3)
Line c: 4x-8y=5
-8y = -4x + 5
y = (1/2)x - (5/8)
Parallel lines have the same slope (m). Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.
Slopes, m, for the lines are;
a) (1/2)b) -2c) (1/2)The negative inverse of (1/2) is -2.
Lines a and c are parallel (same slope)
Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2