Answer:
[tex]y = -x -2[/tex]
Step-by-step explanation:
Slope-Intercept form of the line
Any given line with slope m and y-intercept b can be written as:
y=mx+b
We need to find the equation of a line parallel to
2x + 2y = 6
Dividing by 2:
x + y = 3
Solving for y:
y = -x + 3
Comparing with the slope-intercept form of the line:
m = -1
Parallel lines have the same slope, thus the required line must have a slope m = -1.
Since we have a point through which the line passes, we use the point-slope form:
y - k = m ( x - h )
Where (h,k) is the point.
The required equation of the line is:
y - (-5) = -1 (x - 3)
Operating:
y + 5 = -x + 3
Solving for y:
[tex]\boxed{y = -x -2}[/tex]
A gardener planted flowers of different colors.
of the flowers are yellow
The gardener planted 119 purple flowers. How many flowers did the
gardener plant?
of the remaining flowers are green.
• The rest of the flowers are purple. HELP FAST IM AWARDING BRAINLYEST
Question:
A gardener planted flowers of different colors.
3/10 of the flowers are yellow.
3/4 of the remaining flowers are green.
The rest of the flowers are purple.
The gardener planted 119 purple flowers, how many flowers did the gardener plant?
Answer:
[tex]Total = 680[/tex]
Step-by-step explanation:
Represent Yellow with Y, Green with G and Purple with P
[tex]Y = \frac{3}{10}[/tex]
First, we need to determine the fraction of the rest.
[tex]Yellow + The\ Rest = 1[/tex] ---- In terms of fraction
[tex]The\ Rest = 1 - Yellow[/tex]
[tex]The\ Rest = 1 - \frac{3}{10}[/tex]
[tex]The\ Rest = \frac{10 - 3}{10}[/tex]
[tex]The\ Rest = \frac{7}{10}[/tex]
We have that:
[tex]G = \frac{3}{4} * The\ Rest[/tex]
[tex]G = \frac{3}{4} * \frac{7}{10}[/tex]
[tex]G = \frac{21}{40}[/tex]
To solve for the fraction of Purple, we make use of:
[tex]Y + G + P = 1[/tex]
[tex]P = 1 - Y - G[/tex]
Recall that: [tex]Y = \frac{3}{10}[/tex] and [tex]G = \frac{21}{40}[/tex]
So:
[tex]P = 1 - \frac{3}{10} - \frac{21}{40}[/tex]
[tex]P = \frac{40 - 12 - 21}{40}[/tex]
[tex]P = \frac{7}{40}[/tex]
At this point, we have the fraction of each flower as:
[tex]Y = \frac{3}{10}[/tex]
[tex]G = \frac{21}{40}[/tex]
[tex]P = \frac{7}{40}[/tex]
Also, we have that:
[tex]P = 119[/tex]
The relationship between both values of P is:
[tex]\frac{7}{40} * Total = 119[/tex]
[tex]Total = 119 * \frac{40}{7}[/tex]
[tex]Total = \frac{119 * 40}{7}[/tex]
[tex]Total = \frac{4760}{7}[/tex]
[tex]Total = 680[/tex]
2/3 times 6/7 divided by 2/5
Answer:
so the answer is 1 whole and 3/7 hope this helps :)
explanation:2/3× 6/7 = 4/74/7 ÷ 2/5 = 1 3/7In the expression shown, n
represents a rational number.
7n
What value of n makes the
expression a number less than
7?
A. 3/2
B. 6/6
C. 4
D. 714
Answer:
C. 4/5
Step-by-step explanation: If you have a fraction with the numerator being less than the denominator then multiplying by 7 you will get a number that is less than 7
4. Escribe
5. Escribe la ecuación 3x + 4y - 20 = 0 en su forma simétrica.
62
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
Help please, its due at 9:00 PM!
just look at the measurements
Which of the following points are the solutions to the equation 3 x - 4 y - 8 = 1 2
This is all i can help you
<3
Red
A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A.
The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0.
Find sec A.
9514 1404 393
Answer:
sec(A) = -(1/5)√74
Step-by-step explanation:
Solving the equation for y, we have ...
-7x = 5y
-7/5x = y
The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...
sec(A)^2 = 1 + tan(A)^2
sec(A) = √(1 +tan(A)^2)
sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant
sec(A) = -(1/5)√74
line 1 passes through points (4, -4) and (8,-3) while line 2 passes through points (1,-6) and (-1,2). determine whether the lines are parallel, perpendicular, or neither
Answer:
neither
Step-by-step explanation:
the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]
the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither
Hope this helps
Given the line: y = -1/5x-3, what is the slope of a line parallel and perpendicular
to the function
Answer:
parallel: m= -1/5
parpendicular: m= 5
Step-by-step explanation:
parallel lines have the same slope
- 1 stays the same so - 1
5 5
parpendicular lines have the opposite reciprocal slope
- 1 flipped is - 5 turn the negative into a positive 5 or 5
5 1 1
HELP ASAP!! WILL MARK BRAINLIEST!
Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:
(-4/3) x -6 = 26
Answer:
X = -24
Step-by-step explanation:
Using the inverse:
26 + 6 = 32
x = 32 / (-4/3) = -24
The two triangles shown are similar. Find the value of a/b
Answer:
[tex] \frac{a}{b} = 1.5 [/tex]
Step-by-step explanation:
Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.
This means: [tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex].
Since this equation is true, rewrite so that you have [tex] \frac{a}{b} [/tex]
[tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex]
Cross multiply
[tex] a*1.4 = b*2.1 [/tex]
Divide both sides by 1.4
[tex] a = \frac{b*2.1}{1.4} [/tex]
Divide both sides by b
[tex] \frac{a}{b} = \frac{2.1}{1.4} [/tex]
[tex] \frac{a}{b} = 1.5 [/tex]
The value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].
Given:
Two triangles in the given figure are similar.
To find:
The value of [tex]\dfrac{a}{b}[/tex].
Explanation:
The corresponding sides of two similar triangles are proportional.
[tex]\dfrac{a}{2.1}=\dfrac{b}{1.4}[/tex]
It can be rewritten as:
[tex]\dfrac{a}{b}=\dfrac{2.1}{1.4}[/tex]
[tex]\dfrac{a}{b}=1.5[/tex]
Therefore, the value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].
Learn more:
https://brainly.com/question/25187489
Which graph does not represent a function?
Answer:
C
Step-by-step explanation:
c is my answer to your question
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy(average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
Which of the following most closely describes the method of data collection used?
a. Anecdote
b. Controlled experiment
c. Observational study
Answer:
Controlled experiment
The method of data collection used by the federal government agency is controlled experiment.
What is Controlled Experiment?
A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.
The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.
The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.
Therefore the method of data collection used is controlled experiment.
Learn more about controlled experiment here:
https://brainly.com/question/4444046
Which list shows all the factors of 72?
OA) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
OB) 1, 2, 3, 4, 6, 9, 12, 18, 24, 36, 72
OC) 1, 2, 3, 4, 5, 6, 8, 9, 12, 18, 24, 36, 72
OD 1, 2, 3, 4, 6, 7, 8, 9, 12, 18, 24, 36, 72
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
90 times 10 the power of 4
Answer:
90000
Step-by-step explanation:
Ordena, de menor a mayor, las siguientes
medidas de masa.
11.6 mg, 1021 ug, 0.6 cg, 0.31 mg
Quien me puede ayudar
What is the value of (2,820 ÷ 8) ÷ 5?
Lin ran 2 3/4 miles in 2/5 of an hour. Noah ran 8 2/3 miles in 4/3 of an hour. How long would it take Lin and Noah to run 1 mile at that rate?
We want to see how long it will take for Lin and Noah to run 1 mile. We will see that:
Lin runs 1 mile in (8/55) hoursNoah runs 1 mile in (2/13) hours.So we know that:
Lin runs (2 + 3/4) miles in 2/5 hours.Noah runs (8 + 2/3) miles in 4/3 hours.The time in which they run a single mile is given by the quotient between the time and the distance.
For Lin we have:
[tex]T = \frac{2/5 }{2 + 3/4} h/mi = \frac{2/5}{11/4} h/mi = \frac{2*4}{5*11} h/mi = \frac{8}{55} h/mi[/tex]
So Lin runs a mile in (8/55) hours
For Noah we have:
[tex]T = \frac{4/3}{8 + 2/3} h/mi = \frac{4/3}{26/3} h/mi = \frac{4}{26} mi/h = \frac{2}{13} h/mi[/tex]
Noah runs 1 mile in (2/13) hours.
If you want to learn more, you can read:
https://brainly.com/question/22610586
If three times a number is at least four or more than eight times the number, which of the following is true? A-The number is at least negative four-fifths.
B- the number is at most four-fifths.
C-The number is at least four-fifths.
D-The number is at most negative four-fifths .
Answer:
I believe A...
Step-by-step explanation:
Sorry if i'm wrong):
Option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
If three times a number is at least four or more than eight times the number,
Let x be the number
Mathematically, it can be written as:
3x is at least 4 + 8x
3x - 8x is at least 4
- 5x is at least 4
x is at least -4/5
Thus, option (A) The number is at least negative four-fifths. is correct because x is at least -4/5.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ6
What is the value of X?
Answer:
x=92 degrees
Step-by-step explanation:
53+45=98
180-98=92
92 is answer
What is the result of 3-5?
0
2
2
3
1
9
1
5
9
Answer:
4-7
Step-by-step explanation:
Answer:
wrong its not 4 7
Step-by-step explanation:
2. A line goes through the points, and . (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work. Answer:
Answer:
The answer to your question is:
Step-by-step explanation:
Data
A (8, 9)
B (-2, 4)
1. What is the slope of the line? Show your work
m = (y2 - y1) / (x2 - x1)
m = (4 - 9) / (-2 - 8)
m = -5 / - 10
m = 1/2
2. Write the equation of the line in point-slope form. Show your work
(y - y1) = m(x -x1)
(y - 9) = 1/2(x - 8)
3. Write the equation of the line in slope-intercept form.
(y - 9) = 1/2(x - 8)
y - 9 = 1/2x - 4
y = 1/2x - 4 + 9
y = 1/2x + 5
This work was done by joseaaronlara
Based on experience, Farmer Fern knows that 15% of her eggs will be damaged in
route to the stores. In a sample of 100 eggs, what is the probability that less than
13% will be damaged?
Answer: 0.2877
Step-by-step explanation:
Given : The proportion of eggs will be damaged in route to the stores = 15% = 0.15
Sample size = 100
Let p be the probability of her eggs will be damaged.
The probability that less than 13% will be damaged is given by :-
[tex]P(p<0.13)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.13-0.15}{\sqrt{\dfrac{0.15\times(1-0.15)}{100}}})[/tex]
[tex]=P(z<-0.56)[/tex]
[tex]=1-P(z<0.56)\\\\= 1-0.7123\\\\= 0.2877[/tex]
Hence, the required probability = 0.2877
help me pleeeaseeee
Answer:
-2
Step-by-step explanation:
256=(1/4)3x+2Solve the exponential equation for x.
Answer:
Exact Form:
x =1016 /3
Decimal Form:
x = 338. ¯ 6
Mixed Number Form:
x = 338 2/3
Step-by-step explanation:
is 0.83 equal to 83/100
Answer:
Yes.
Step-by-step explanation:
83/100=0.83 : )
Answer:
Yes
Step-by-step explanation:
0.83 means that it's out of 100, if it was 1.0 that means that it would be 100, a full number.
83/100 means that it's out of 100 as well. If it were to be a whole number it would be 100/100
-1/6 + -3/7 =
Please need answers ASAP and please explain how to do it as well thanks
Answer:
-25/42
Step-by-step explanation:
you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.
so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.
then you add them together and you get -25/42
if possible you would simplify but for this one it’s not :)
Answer:
Negative Twenty Five over Forty Two.
Step-by-step explanation:
Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).
First Step: Make the denomimators the same.
-1/6 will become -7/42
-3/7 will become -18/42
Second step: Add the two fractions.
-7/42 + -18/42 = -25/42
So there is your answer: -25/42
Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?
Answer:
12 t-shirts
Step-by-step explanation:
12 x 75% = 9 = 9 t-shirts
Pass necessary journal entries in the books of Narender for the month of March 2006
Please explain this question as I can't 'Pass necessary journal entries in the books of Narender for the month of March 2006'
5 + k – 5k = -4k + 6 0
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5+k−5k=−4k+60
5+k+−5k=−4k+60
(k+−5k)+(5)=−4k+60(Combine Like Terms)
−4k+5=−4k+60
−4k+5=−4k+60
Step 2: Add 4k to both sides.
−4k+5+4k=−4k+60+4k