The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
Answers
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
Related Questions
Please help meeeeeeee! Gratefully appreciate it, happy holidays!
Answers
Answer:
x = 50
Step-by-step explanation:
180-(50+80)=x
180-130=50
Meriel works in a lab and needs to measure 7.5 grams of a substance with a percent error of less than
5%. What is the smallest and largest amount they can measure to stay under this percent error?
Answers
Answer:
Step-by-step explanation:
A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!
A cook has 32 ounces of a 5% apple cider vinegar that she wants to
dilute to a 3% apple cider vinegar. How much water does she need
to add to obtain that concentration?
Answers
The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.
In matter of units, concentration equals to to the mass of cider vinegar ([tex]m_{c}[/tex]) divided by mass of water ([tex]m_{w}[/tex]), both expressed in ounces. A reduction on concentration implies that mass of cider vinegar remains constant while mass of water is increased.
Now we derive expressions for the initial and final concentrations for cider vinegar:
Initial concentration
[tex]c_{i} = \frac{m_{c}}{m_{w}+m_{c}}[/tex] (1)
Where:
[tex]m_{w}[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.Final concentration
[tex]c_{f} = \frac{m_{c}}{m_{c}+m_{w}'}[/tex] (2)
Where:
[tex]m_{w}'[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.Then, if we know that [tex]c_{i} = 0.05[/tex], [tex]c_{f} = 0.03[/tex], [tex]m_{w}+m_{c} = 32\,oz[/tex] and [tex]m_{c}+m_{w}' = 32 + x[/tex], then the addition of water is:
[tex]0.05 = \frac{m_{c}}{32}[/tex] (1b)
[tex]0.03 = \frac{m_{c}}{32+x}[/tex] (2b)
Then we eliminate [tex]m_{c}[/tex] in (1b) and (2b):
[tex]0.05\cdot 32 = 0.03\cdot 32 + 0.03\cdot x[/tex]
[tex]0.02\cdot 32 = 0.03\cdot x[/tex]
[tex]x = 21.333\,oz[/tex]
The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.
To learn more on concentrations, we kindly invite to check this question: https://brainly.com/question/492238
simplify 10^9 divided by 10^7
Answers
Step-by-step explanation:
10^9 ÷ 10^7
10^9-7
10^2
10^2 is the correct answer
A line passes through (2, -1) and (4, 5).
-
Which answer is the equation of the line?
-3x+y=17
-3. + 5y = -13
-3x+y=-7
-3x+5y=13
Answers
Answer:
its c
Step-by-step explanation:
im in school rn and i dont understand this!
Answers
Answer:
[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]
Step-by-step explanation:
[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]
a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there
Answers
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
What is the 2nd equivalent fraction to 5/7
Answers
Hello!
2nd equivalent fraction to is 5/7 is 10/14.
Other equivalent fractions are 15/21, 20/28, 50,70...
I hope this helps,
Have a great day!
Please help :)
M is the midpoint of segment AT.
Solve for X and AM
Answers
So AM = TM
<=> 5x = 3x + 4 <=> 5x - 3x = 4
<=> 2x = 4 <=> x = 2
The answer: x = 2
Ok done. Thank to me :>
Mandee invested $360 in a savings account earning 1.8%
interest compounded continuously for 2.5 years.
Answers
Answer: The final balance is $412.03.
The total compound interest is $52.03.
Step-by-step explanation:
SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14
Answers
First start with (5+4-2) and simplify to 7
Second multiply 7 x -2 and get -14
What is the slope?
Please help me
Answers
Answer:
1/2
Step-by-step explanation:
slope is rise over run. Choose two points on the line that are whole numbers. Then put the rise (1) over run (2)
Elsa is selling bracelets at craft shows to raise money for an animal shelter. She is also accepting additional cash donations. She plans to give 75% of the money from all bracelet sales and donations to the shelter. She will use the remaining money to buy more supplies. Bracelet sales and donations from the first craft show are represented by the expression 24n+32 , where n represents the amount Elsa charges for each bracelet. The second craft show sales and donations is represented by the expression 40n+56 . If Elsa charges $4 for each bracelet, how much money will she donate to the animal shelter?
Answers
Answer:
22-1n-3
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The amount donated to the animal shelter is $258
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Percentage to donate to the shelter = 75%
The expression that shows the amount from the first and second craft shows.
24n + 32 _____(1)
40n + 56 ______(2)
Where n is the amount of each bracelet.
Now,
Cost of each bracelet = $4.
From (1) and (2) we get,
24 x 4 + 32 = 96 + 32 = 128
40 x 4 + 56 = 160 + 56 = 216
Now,
The total amount collected from both the craft shows.
= 128 + 216
= $344
The amount donated to the animal shelter.
= 75% of $344
= 75/100 x 344
= $258
Thus,
The amount donated to the animal shelter is $258
Learn more about percentages here:
https://brainly.com/question/11403063
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At Store A, a game system sells for $150.The same system sells for $175 at Store B.Use a ratio to compare the price at Store A to the price at Store B.
Answers
Answer:
6:7
Step-by-step explanation:
=store A:store B
=150:175
=6:7
any one is good at math can help :(
Answers
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months
Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)
M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.
For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50
From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.
The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2
The answer becomes -5 dollars per 2 months.
I hope this was helpful!
Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24
Answers
Hello there, this is how we will solve your problem.\
here is the equation you gave us.
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]
we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]
Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].
_________________
[tex]y=-3[/tex] [tex]x=0[/tex]PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answers
Answer:
Step-by-step explanation:
B
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
show work! giving brainly! my teacher told me this was wrong, what's the correct answer?
Answers
Answer:
it's Ahmed shoveled more
A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?
Answers
3.2cm = 3.2(25) km
(Whatever you multiply on the left, you multiply on the right)
3.2 x 25 = 80km
Х
Probability with permutations and combinations
file
Nia is 1 of 24 students in a class. Every month, Nia's teacher randomly selects 4 students from their class to act
as class president, vice president, secretary, and treasurer. No one student can hold two positions.
Do
In a given month, what is the probability that Nia is chosen as president?
Choose 1 answer:
BRE
TA
1
24 P4
As
A
1
MY
TATU
Co
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23 P 3
24 P4
SAT
MY
D
(24 P.). (24 P3)
24 P4
Pro
2 of 4 .OOO
Answers
Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.
A probability is the number of desired outcomes divided by the number of total outcomes.As there are different roles, the order in which the students are chosen is important, hence, the permutation formula is used to solve this question.Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
Nia's president.For the other roles, 3 students from a set of 23, hence:[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]
Total outcomes:
4 students from a set of 24, hence:
[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]
Then:
[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]
0.0417 = 4.17% probability that Nia is chosen as president.
To learn more about probabilities, you can take a look at https://brainly.com/question/24437717
Answer:The answer is 23 P 3/ 24 P 4
Step-by-step explanation:
Find the median and mode of the following data:
a) 5, 9, 3, 4, 9, 2, 1, 3, 6.
b) 60, 67, 62, 61, 63, 65, 64, 68, 60.
Answers
The mode is the number that appears the most which is 3 and 9 because they both appear twice.
B) (60, 60, 61, 62, 63, 64, 65, 67, 68) The middle number is 63 so that is the median.
The mode is 60 as it appears the most in the list.
Pls give me the brainliest!
Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.
Answers
The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
Using this formula
PVA=Principal [(1-rate)^time/rate]
Let plug in the formula
PVA=45000[(1-(1+0.031)^(-25))/0.031]
PVA=45000[(1-(1.031)^-25)/0.031]
PVA=45,000(1-0.4661582427091)/0.031
PVA=45000(0.533841757290/0.031)
PVA=45000(17.22070184809)
PVA=$774,931.58
Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
Learn more about compounded interest here:
https://brainly.com/question/24274034
Which algebraic expression represents this word description?
The product of nine and the difference between five and a number
Answers
Answer: 9(5-n)
Step-by-step explanation:
The product of nine and the difference between five and a number can be represented as 9(5-n)
Answer: 9(5-x)
Step-by-step explanation:
5/8 ,2/12 ,8/10 least to greatest
Answers
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
2/12 = 0.16
5/8 = 0.625
8/10 = 0.80
Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.
Answers
(2,5) and (4,13)
y - y1 = y2 - y1
x - x1 x2 - x1
y - 5 = 13 - 5 = 8/2 = 4 x - 2 4 - 2
y - 5 = 4x - 8
y = 4x - 3
m = 4, c = -3
Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answers
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
HELP ME GUYS THANKS !
Answers
Answers:
-32
-8
-2
4
Step-by-step explanation:
[tex]y = 6x - 2[/tex]
[tex]y_1 = 6(-5) - 2 = -30 -2 = -32[/tex]
[tex]y_2 = 6(-1) - 2 = -6 -2 =-8[/tex]
[tex]y_3 = 6(0) - 2 = 0 -2 = -2[/tex]
[tex]y_4 = 6(1) - 2 = 6 -2 = 4[/tex]
Step-by-step explanation:
Ok so the function rule is: y=6x-2
We have 4 sets of numbers under the value "x." That means we have to input the given values into the function.
First is x=-5. We input -5 into the function so we get y=6(-5)-2. We multiply 6 and -5 and we get -30, then we subtract 2 from -30. Then for the answer for the first column, we get -32 for the y value.
Now we have x=-1. We input the number for x in the function and we get y=6(-1)-2. We multiply 6 and -1 and we get -6, then we subtract -2 from -6 and we get -8. So out y value for the second row is -8.
Try the next two on your own to see if you understand. If you still don't understand please comment under this answer. I'll try to respond as quickly as I can.
Solve for m. 81m2 = 36
Answers
Step-by-step explanation:
81m2 = 36
m2 = 36/81
m2 = 4/9
Square root on both sides
m = 2/3
Answer:
Step-by-step explanation:
i hope this help have a great day!
What is the solution to the equation 5x=6?
Answers
Answer:
6 / 5 ( or ) 1.2
Step-by-step explanation:
5x = 6
x = 6 / 5
( or )
x = 1.2
Answer: To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...
Step-by-step explanation:
x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?
Answers
Answer:
x is a function
since it forms a horizontal line it passes the vertical line test and is a function
