x + y = 4
y = -x + 4
Answers
Answer:
Infinite Solutions
Step-by-step explanation:
x + y = 4
y = -x + 4
x + y = 4
x - x + 4 = 4
0 = 0
Related Questions
use the given conditions to write an equation for each line in the point-slope form and slope-intercept form (-3,2) with slope -6
Answers
Explanation
the slope-intercept form of a line has the form:
\(\begin{gathered} y=mx+b \\ where\text{ m is the slope} \\ and\text{ b is the y-intercept} \end{gathered}\)when given the slope and a point of the line we can use the slope-point formula, it says.
\(\begin{gathered} y-y_1=m(x-x_1) \\ where\text{ m is the slope} \\ (x_1,y_1)\text{ is a point of the line} \end{gathered}\)so
Step 1
a)Let
\(\begin{gathered} slope=\text{ -6} \\ point\text{ \lparen -3,2\rparen} \end{gathered}\)b) now, replace and solve for y
\(\begin{gathered} y-y_{1}=m(x-x_{1}) \\ y-2=-6(x-(-3)) \\ y-2=-6(x+3) \\ y-2=-6x-18 \\ add\text{ 2 in both sides} \\ y-2+2=-6x-18+2 \\ y=-6x-16 \end{gathered}\)so, the equation of the line is
\(y=-6x-16\)I hope this helps you
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
Answers
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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What is the median hours spent exercising and median hours spent playing video games?
Answers
The median hours spent on exercise was 6 hours while the median hours spent for watching video games was 15 hours.
What is the median?The median simply refers to the middle number in a specified range of figures. In the data that we are given, the values for exercise are as follows:
3,5,6,6,14,24
Median = 6 + 6 =12/2
= 6 hours
The median hours spent playing video games will be:
12, 7,16, 18,10,22,24,14
7, 10, 12,14, 16,18,22,24
14 + 16 = 30/2
= 15
So, the median hours for exercise is 6 while the median for video games is 15.
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Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
1.State the null and alternative hypotheses.
a. H0: µ = 0, Ha: µ > 11.88
b. H0: µ = 0, Ha: µ ≠ 11.88
c. H0: µ = 0, Ha: µ > 12
d. H0: µ = 0, Ha: µ ≠ 12
2.Specify the rejection region for = 0.01. Reject H0 if
a. t > 2.68
b. t < -2.68
c. |t| > 2.68
d. z < 2.68
3.Calculate the p-value
a. 0.01
b. 0.02
c. 0.005
d. 0.05
4. What is your conclusion?
a. Reject H0
b. Fail to reject H0
c. Reject Ha
d. Fail to reject Ha
Answers
The null and alternative hypotheses can be stated as follows:
c. H0: µ = 12, Ha: µ ≠ 12
The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.
The rejection region for α = 0.01 can be specified as:
c. |t| > 2.68
This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.
To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.
The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.
Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.
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given f(x)=4x-3, solve for x when f(x)=9
Answers
I don't need lengthy details I just want the answer
Answers
Answer:
Sue rode 1885 miles total
Step-by-step explanation:
There are 31 days in March, 30 in April, and 30 in May.
31 * 12 + 30 * 12 + 30 * 12 = 1092
There are 30 days in June and 31 in august.
30 * 13 + 31 * 13 = 793
Now we find the total:
1092 + 793 = 1885
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
<YXZ and <TUS
Step-by-step explanation:
An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.
Therefore, the only pair of angles from the given options that flare alternate exterior angles are:
<YXZ and <TUS
A tunnel is shaped in the form of a semi-ellipse. The width of the tunnel is 20 feet and the height of the tunnel is 12 feet. A train is 10 feet wide and centered in the tunnel. Determine whether a 10-foot high train would have clearance to pass through. If so, by how much? If not, by how much? (Nearest inch.)
Answers
(x^2 / a^2) + (y^2 / b^2) = 1
where "a" is the horizontal radius (half of the width) and "b" is the vertical radius (half of the height).
In this case, we have:
a = 20/2 = 10 feet
b = 12/2 = 6 feet
We can assume that the train is centered in the tunnel, so we need to find the height of the semi-ellipse at the center (i.e., the value of "y" when "x" is 0).
Plugging in the values for "a" and "b", we get:
(0^2 / 10^2) + (y^2 / 6^2) = 1
Simplifying, we get:
y^2 / 36 = 1
y^2 = 36
y = ±6 feet
Therefore, the height of the semi-ellipse at the center is 6 feet.
To determine whether a 10-foot high train would have clearance to pass through, we need to check whether the height of the semi-ellipse at the sides is greater than or equal to 10 feet.
Plugging in the values for "a" and "b" and solving for "y" when "x" is 5 feet (half of the train's width), we get:
(5^2 / 10^2) + (y^2 / 6^2) = 1
Simplifying, we get:
y^2 / 36 = 0.75
y^2 = 27
y ≈ ±5.2 feet
Since the height of the semi-ellipse at the sides is about 5.2 feet, a 10-foot high train would not have clearance to pass through. The clearance is less than 5.2 - 5 = 0.2 feet (or about 2.4 inches).
Therefore, the train would not fit through the tunnel with 10 feet of clearance.
Can anyone help me with this question please thank you
Giving brainliest correct answer please
Answers
Answer:
1/216
Step-by-step explanation:
These are independent events because of probability of first event is not affecting the probability of another event .
probability of getting 4 on first try is 1 / 6
probability of getting six on second try is also 1 / 6 and then probability of getting more 6 on next try is again 1/6
so combined probability is 1/6 ×1/6 ×1/6= 1/216
Susie is visiting Germany from the U.S. One day she stopped by a market and found a stall selling tomatoes for 1.74 euro per kilogram. If 1 euro was worth 1.09
dollars that day, how much did the tomatoes cost in dollars per pound?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of
the equation.
Answers
The cost of the tomatoes, in dollars per pound, using proportions, is of:
$0.86 per lb.
What is a proportion?A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.
In this problem, the costs is obtained as follows:
Cost: 1.74 euros per kilogram.Exchange ratio: 1 euro = 1.09 dollars.Hence the cost in dollars per kg of the tomatoes is obtained as follows:
1.74 x 1.09 = $1.8966 per kg.
The relationship between kg and pounds is given as follows:
1 kg = 2.20 lb.
Hence the cost is written as follows:
$1.8966 per 2.20 lb.
The cost per pound of the tomatoes is of:
1.8966/2.20 = $0.86 per lb.
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please help me with my math
Answers
Answer:
14.4
Step-by-step explanation:
percentage for corn =30
total no. of acres of the land=48
=30 × 48
100
=14.4
Rumus suatu fungsi di nyatakan dengan f (x) = 2x + 5. Jika f(a) = 7, nilai a adalah
Answers
Step-by-step explanation:
As my previous answer got deleted for being wrong (in which it was right), I will answer again.
The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.
This is proof that it is right, and that there are some corrupt admins on brainly.
How to get to this solution?
Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).
If we do so, we get 2a + 5 = 7.
Solving this equation, we get a = 1.
If a = 7^x , b = 7^y and a^yb^x = 49 show that xy =
Answers
podaj z dokładnością do dwóch miejsc po przecinku przybliżona wartość liczby 2,372, określ rodzaj przybliżenia oraz wyznacz błąd przybliżenia
Answers
Answer:
I don't know this language so yea sorry
the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
Answers
The radius of the cylinder is 7. 9 in
How to determine the radiusFirst, we need to know the formula for volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters of the formula are expressed as;
V is the volume of the cylinderr is the radius of the cylinder h is the height of the cylinderFrom the information given, we have that;
Substitute the values
196 = 3.14 × 1 × r²
Divide both sides by the values
r² = 62. 42
Find the square root of both sides
r = 7. 9 in
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Jackie to saves at $16 a week from her paycheck. Which inequality can be used to solve how many weeks until she has saved
$200
Answers
The inequality that can be used to solve how many weeks until she can save 200 dollars is x ≥ 12.5.
How to solve inequality?Jackie to saves at $16 a week from her pay check. The inequality that Jackie can use to solve how many weeks she can save 200 dollars can be calculated as follows:
let
x = number of weeks
Therefore,
16x ≥ 200
divide both sides of inequality by 16
16x ≥ 200
16x / 16 ≥ 200 / 16
x ≥ 12.5
Therefore, the inequality is x ≥ 12.5
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1 is subtracted from 8 times a certain number.the result is 15.find the number
Answers
Answer:
number is 2
Step-by-step explanation:
let the number be n then 8 times the number is 8n, subtract 1 from this and
8n - 1 = 15 ( add 1 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
that is the number is 2
In the figure below, parallel lines l and m are intersected by the transversal t. Based on the information given in the figure, find x.
Answers
Answer:
38 degrees
Step-by-step explanation:
142 and x are supplementary angles due to them being on the same line, so they have to add up to 180
180 - 142 = x
x = 38 degrees
Hey! I just want to make sure if I'm right, if I'm not, whats the answer? I'm stuck on this but I will highly appreciate it if you can help me. if you can't see the question clearly, here it is.
Veron adds some flour to a partially filled bin by pouring it
in at a constant rate until the flour reaches the brim. He
stops pouring flour when the bin is full.
Which graph could represent this scenario?
Answers
Answer:
Step-by-step explanation:
Veron adds some flour to a partially filled bin by pouring it
in at a constant rate until the flour reaches the brim. He
stops pouring flour when the bin is full.
Which graph could represent this scenario?
In a-d, choose whether the fraction and percent are equivalent.
50/33 and 117% yes or no (HURRY UP)
Answers
Answer: no
Step-by-step explanation:
117% equals 1.17 and 50/33 equals 1.51 repeating so they aren’t equal.
Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area.
Required:
A 90% confidence interval for the difference between the proportions of mice ready to breed in good acorn years and bad acorn years is:_______
Answers
Answer: 90% confidence interval is; ( - 0.0516, 0.3752 )
Step-by-step explanation:
Given the data in the question;
n1 = 72, n2 = 17
P1 = 54 / 72 = 0.75
P2 = 10 / 17 = 0.5882
so
P_good = 0.75
P_bad = 0.5882
standard ERRROR will be;
SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]
SE = √( 0.002604 + 0.01424)
SE = 0.12978
given confidence interval = 90%
significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645 { from standard normal table}
so
93% CI is;
(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad< (0.75 - 0.5882) + 1.645×0.12978
⇒0.1618 - 0.2134 <P_good - P_bad< 0.1618 + 0.2134
⇒ - 0.0516 <P_good - P_bad< 0.3752
Therefore 90% confidence interval is; ( - 0.0516, 0.3752 )
Can someone plz help
Answers
Answer:
9. answer: -3, 10. answer: 5
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
Answers
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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We are given that y=-x+2. Let's substitute this
expression into the first equation and solve for x as
follows:
5 x-7 y =58
5 x-7 · (-x+2) =58
5 x+7 x-14 =58
12x =72
Finish the work above. What is x ? x=__
Answers
The value of x in the equation is calculated as: x = 6.
How to Solve an Equation?To solve the equation in order to find the value of x, we are to do the following as explained below.
By substitution, replace the y for -x + 2) into the equation, 5x - 7y = 58:
5x - 7(-x + 2) = 58
Apply the distributive property to open the parentheses:
5x + 7x - 14 = 58
Combine like terms
12x - 14 = 58
Add 14 to both sides:
12x - 14 + 14 = 58 + 14
12x = 72
Divide both sides by 12
12x/12 = 72/12
x = 6
The value of x = 6.
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Select the correct expression and value.
Ray has 3 boxes of chocolates. Each box has 4 layers of chocolates. Each layer has 4 rows of 4 chocolates each. He distributes all the chocolates equally among 16 friends. Identify the expression and the value that give the number of chocolates that each of Ray’s friends gets.
Answers
Answer:
Total chocolates= 48
Each friend get 3 chocolates
Step-by-step explanation:
Ray has 3 boxes of chocolates = 3
Each box has 4 layers of chocolates
= 4
Each layer has 4 rows of 4 chocolates each= 4
Total number of chocolates = 3*4*4
Total number of chocolates
= 48 chocolates
He shares 48 chocolates among 16 friends.
They Will all obtain 48/16= 3 chocolates each
Answer: the correct answer is 12
For f(x) =8x+11, find f(x) when x = 4.
Answers
Answer:
43
Step-by-step explanation:
Plug x in.
8(4)+11=32+11=43
Hope I helped!
Answer:
43
Step-by-step explanation:
f(x) = 8x + 11
x = 4
f(4) = 8(4) + 11
f(4) = 32 + 11
f(4) = 43
Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answers
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
What is 1 1/3-6/7
PLEASE I WILL GIVE YOU ALL MY BRIANLIST HELPPP
Answers
Answer:
10/21
Step-by-step explanation:
Answer:
the answer is 59/21
I used mathematics
10) BRAINLIEST & 10+ POINTS!
Answers
Answer:
Complementary angles are angles that add up to 90°
To find the complementary angle for an angle of 70° subtract it from 90°
That's
90° - 70° = 20
Hope this helps
Answer:
20
Step-by-step explanation:
Complementary angles add to 90 degrees
70 +x = 90
Subtract 70 from each side
70+x-70 = 90-70
x = 20
The complement is 20