Solve the system. y = -x + 3 and y = 2x
the solution is (__,__).
Explain your choice of method.
Answers
Answer: (1, 2)
which means
x = 1
y = 2
Step-by-step explanation:
y = -x + 3
y = 2x
Because both equations are set equal to y, they can be set equal to each other. The equations are ready to go to use Substitution method.
Substitute.
-x + 3 = 2x
Add x to both sides.
3 = 3x
Divide by 3.
3/3 = x
1 = x
We can put the 1 in for x in either equation.
y = 2x
y = 2(1)
y = 2
Putting x for 1 into the other equation is a good check.
y = -x + 3
y = -1 + 3
y = 2
So the x and y that work in both of these equations is:
x = 1 and y = 2
The form that was asked for was ( , ).
So the answer is
(1, 2).
Answer: 1, 2
Step-by-step explanation:
Related Questions
Which expression is equivalent to
−4m−214−614 ?
Answers
Step-by-step explanation: Hope this help :D
−4m−2 1/4−6 1/4
Answer: =−4m−8 1/2 (Decimal: -4m+\,{-17}/{2}\,)
There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?
Answers
I’m pretty sure the answer should be 1,710 if not i’m sorry
Answer:
1710 fish
Step-by-step explanation:
Let the number of fish in the lake last year be 'x'
The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)
x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400
Therefore- The number of fish last year = 5400
Now, let the number of fish in the lake 2 years ago be 'y'
The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)
y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500
Therefore- Fish in the lake two years ago = 4500 fish
Difference between current and two years ago = 6210-4500
= 1710 fish
Hope you understood the answer and I hope it helps you :)
Find the perimeter of this shape.
Answers
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
3 5/8 + ( -5 1/4) =???
Answers
Answer:
-0.78125 or \(\frac{25}{32}\)
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
0.78125 = \(\frac{0.78125}{1}\)
Multiply to remove 5 decimal places. Here, you multiply top and bottom by 105 = 100000
\(\frac{0.78125}{1} . \frac{100000}{100000} = \frac{78125}{100000}\)
Find the Greatest Common Factor (GCF) of 78125 and 100000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 3125,
\(\frac{78125}{100000} . \frac{3125}{3125} = \frac{25}{32}\)
Answer:
your answer is 25/32.
Step-by-step explanation:
hope this helps you!
p/ 1 6/7=−4.4 help please!!!!!!!
Answers
Answer:
Sorry, I can't type well.
The solution of the equation p / [1 ⁶/₇] = - 4.4 will be negative 8.17.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
p / [1 ⁶/₇] = - 4.4
Convert the mixed fraction number into a decimal number. Then we have
1 ⁶/₇ = 1 + ⁶/₇
1 ⁶/₇ = 1 + 0.857
1 ⁶/₇ = 1.857
Then the equation is rewritten as,
p / 1.857 = - 4.4
Simplify the equation, then we have
p = - 4.4 x 1.857
p = - 8.17
The solution of the equation p / [1 ⁶/₇] = - 4.4 will be negative 8.17.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Which of the following has a higher percentage of a dollar
a) The value of 7 qurters,4 dimes and 37 nickels
b) The value of a half dollar, 7 dimes and 102 pennies
c) the value of two Susan B Anthony coins, 13 nickels and seventy one pennies
write your answer as a dollar amount and a percent
Answers
Answer:
Step-by-step explanation:
a) 7(25) + 4(10) + 37(5)
7(20) +7(5) +4(10) + 5(30) + 5(7)
1.40 + 35 + 40 + 1.50 + 35
1.75 + 40 + 1.85
3.60 + 40
4.00 = 400% of $1
b) 50 + 7(10) + 1.02
50 + 70 + 1.02
1.20 + 1.02
2.22 = 222% of $1
c) 2.00 + 13(5) + 71
2.00 + 5(3) + 5 (10) + 71
2.00 + 15 + 50 + 71
2.00 + 65 + 71
2.00 + 1.36
3.36 = 336% of $1
A has a higher percentage of dollar because 400%>336%>222%
Consider that ALMN is similar to APQR and the measure of ZP is 80°. What is the measure of 2L?
A) 20
B) 70
C) 80
D) 90
Answers
Answer:
80°
Step-by-step explanation:
as ALMN is similar to APQR thus L and P are similar too.measure of ZP =80° i.e. 80 ÷2 = 40° for each Z and P.now P =40° (so L =40° ) , then 2L = 2 × 40° = 80°At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Please help me with this!
Answers
Answer:
1: 39,284
2: 58,672.8
3: 2,066.79153912
4: 183.801664976
5: 8,744,119.16410
Those are the answers to the problems now you can just determine which ones are from least to greatest
Answer:
1: 39,284
2: 58,672.8
3: 2,066.79153912
4: 183.801664976
5: 8,744,119.16410
Step-by-step explanation:
what is 3789 X 5 = ( here we can rp )
Answers
Answer:
3789x5=
18945
Step-by-step explanation:
ok cool
The point (2, −7) was reflected over the x-axis or the y-axis. Its image is at (−2, −7). Which axis was the point reflected over?
Answers
The table below shows the results of Nesta's survey about favorite subjects.
Math 15
science 20
English 10
Social Studies 5
there are 400 students at Nesta's school. How many students would you predict prefer science.
Answers
Answer:
20
Step-by-step explanation:
I may not be correct so dont fully trust me but I did 400 / 20 and it was 20 soooo...
5+10+15+20=50
400/50=8
8*20=160
A function with an input of 1 has and output of 3. Which of the following could NOT be the function equation?
1. y= 3x
2. y= x+2
3. y= 4x-3
4. y= 4x-1
Answers
Answer:
The answer is 3
y=4x-3❌
Step-by-step explanation:
1)y=3x=3(1)=3✅
2)y=x+2=1+2=3✅
3)y=4x-3=4-3=1❌
4)y=4x-1=4-1=3✅
help me its due today :')
Answers
Answer:
9 feet easy to solve this is answer
Subtract.
−145−(−278)
Enter your answer as a simplified fraction by filling in the boxes.
Answers
Answer:
43/40 is your answer.
I HOPE IT WILL HELP YOU.
Thank you
^ - ^
I hope this helps?
Please help! Really easy!!
___ - 2.86 = 3.57
2.5 x ____=0.625
___/5.5=0.55
Answers
6.43
second one is
.25
third one is
3.025
2.) 0.25
3.)3.025
Solve the equation 5,4g+10=2.4g+25. a. Find the value of g. b. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answers
Answer:
G=5
Step-by-step explanation:
Input the answer into the formula. If it is correct then its correct but if it doesn't work it is incorrect
Kenneth graphed a system of equations.
Kenneth says the system has no solution
Do you agree?
Yes or No
Answers
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Which of the linear equations represents the graphed line? A: y=3/2x+1
B: y=2/3x+1
C: y=-2/3+1
D: y=-3/2+1
Answers
Answer: C
Step-by-step explanation:
Question 2(Multiple Choice Worth 2 points)
(Experimental Probability MC)
In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36. Predict how many times the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
3
9
10
18
Answers
9 the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36.
As, Expected number of outcomes = theoretical probability * number of trials
Expected number of outcomes = 3/36 x 108
= 9
Thus, the required value is 9.
Learn more about Probability here:
https://brainly.com/question/30544947
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How do you find an adjacent angle?
Answers
Step-by-step explanation:
If two angles share one side and both derive from the same corner (vertex) point, then they are adjacent angles.
find the greatest possible decimal with 2 decimal places that is equal to 7 when rounded to the nearest whole number.
Answers
Answer:
7.49
Step-by-step explanation:
When rounding, if it is below 4 you round down, but above 5 is rounded up. Also, you look to the decimal closest to the number you are rounding. So, the greatest possible number is 7.49.
Pls help me to find the median and mode, with solution pls
Answers
Answer:
Mode=32
Mean=32
Median=32
Step-by-step explanation:
Mode=highest frequency
Mode=10
Mean=£fx
£f
Mean=1280
40
=32
Median=n/2
=40/2
=20
median=32
Median-32
Hope this helpsssss
5x-28=232 whats the answers please help.
Answers
Answer :D
x = 52
Question explanation:
1. Add 28 to both sides:
\(5x - 28 = 232\)
\(5x - 28 + 28 = 232 + 28\)
2. Simplify:
\((adding, add again) = 5x =260\)
3. Divide both sides by the same factor
\(5x = 260\)
\(\frac{5x}{5} = \frac{260}{5}\)
4. Cancel terms that are in both the numerator and denominator.
5. Divide the numbers.
x = 52
I hope this is correct - Answered by Lilo
Answer:
52
Step-by-step explanation:
What is 5 to the power of 5? I need help.
Answers
Answer:
3,125
hope this helps!
Answer:
3,125
Step-by-step explanation:
5•5•5•5•5=3,125
Hope this helps!
Help Please I will Give Brainliest And 7 points!!
Answers
The answer would be (-3)^6
I need help ASP!!! LAST QUESTION!!!
Answers
Explanation: 4/8 + 3/8 = 7/16
find the product of 0.6 x 0.6
Answers
GIVING BRAINLIEST!
Find the dimensions of the sports field at the right if the width is at least 60 yards.
Answers
Answer:
The dimensions of the sports field are 80 yards and 3 - 5x yards
Step-by-step explanation: