Answer:
E) -4,7 and -2,8
Step-by-step explanation:
parallel lines have same slope
x - 2y = 16
y = 1/2 x -8 slope: 1/2
E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2
Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
----------------------
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.----------------------
The line given is:
[tex]x - 2y = 16[/tex]
In slope-intercept formula:
[tex]2y = x - 16[/tex]
[tex]y = \frac{x}{2} - 8[/tex]
----------------------
In this question, we want a line with an slope of 1/2.
At option E, the points are (-4,7) and (-2,8), thus, the slope is:
[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]
Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
A similar problem is given at https://brainly.com/question/22532445
help please!!!!!!!!
[tex]\frac{1}{2}b+2\leq -6[/tex]
Answer:
1/2 b ≤-8
Step-by-step explanation:
please help! will mark brainliest
Answer:
I think b sorry if im wrong
Ratio 54:18 and 18:6 equivalent ?
Answer:
Yess
Step-by-step explanation:
54:18 = 54/18 = 3/1 = 3:1
18:6 = 18/6 = 3/1 = 3:1
54:18 = 18:6 = 3:1 = 3:1
Thus, Both 54:18 and 18:6 are equivalent
-TheUnknownScientist
can someone help me out please
Someone, please answer this ASAP.... it's due today :(
At a fishery, the largest catches in August were of blackfin tuna, sailfish, blue marlin, and king mackerel. The fishery calculated the mean and standard deviation of the weights, in pounds, of each type of fish, as shown in the table. Which data set has the smallest spread?
Answer:
Blue marlin
Step-by-step explanation:
How would I graph y -1 =-5(x- 2)
A 5 pound tub of cottage cheese at n dollars per pound costs $10.25 .
Write an equation for the following word problem
Answer:
5n = $10.25
Step-by-step explanation:
We know that the tub is 5 pounds, and costs $10.25. We also know that n is in dollars per pound. Dollars per pound can be written as the product of dollars, divided by pounds, so we can plug that in being n = $10.25/5, next we want to make the equation contain an integer on both sides and not contain any fractions, so we multiply both sides by 5, resulting in 5n = $10.25
Three times Mary's age added to Beth's age is 34 years. Half of Mary's age minus Beth's age is 1 year. How old are Mary and Beth?
Answer:
It’s 15 and 17
Step-by-step explanation:
34-7x=2y
-13 -13
(15,17)
HELP
Please don’t answer if you don’t know it.
Answer:
d=5
Step-by-step explanation:
Answer: d= 5
Step-by-step explanation:
I did this test on edgunity if you need a step by step I can leave it in the comments below. Good luck
look at picture correct answer gets brainlist
Answer:
option C is correct
4 degree polynomial with 4 terms
What is 2 13/18 - z = 1 19/36
Answer z= 43/36
Step-by-step explanation:
We have given,
2 13/18 - z = 1 19/36
Since 2 13/18 = 49/18 and 1 19/36 = 55/36
So we can write,
2 13/18 - z = 1 19/36
or 49/18 - z = 55/36
or 49/18 - 55/36 = z
or (98 -55)/36 = z
or 43/36 = z
Hence we got z = 43/36
Solve the system by substitution.
x + 6y = -2
-x= 3y - 10
Answer:
x = 22, y = -4
Step-by-step explanation:
x + 6y = -2 --- Equation 1
-x = 3y - 10 --- Equation 2
Equation 2 ×(-1): x = -3y + 10 --- Equation 3
Substitute x = -3y + 10 into Equation 1:
x + 6y = -2
-3y + 10 + 6y = -2
3y + 10 = -2
3y = -2-10
= -12
y = -12 ÷ 3
y = -4
Substitute y = -4 into Equation 3:
x = -3y + 10
x = -3(-4) + 10
= 12 + 10
x = 22
Which of the following equations has the same solutions as the equation 3x + 2y = -12? Check all that apply.
Answer:
[tex]B.\ -3x - 2y = 12[/tex]
[tex]C.\ 15x + 10y = -60[/tex]
[tex]E.\ 6x + 4y = -24[/tex]
[tex]F.\ 1.5x + y =-6[/tex]
Step-by-step explanation:
Given
[tex]3x + 2y = -12[/tex]
Required
Determine equations with same solution as [tex]3x + 2y = -12[/tex]
For a solution to have the same solution as [tex]3x + 2y = -12[/tex], the equation must be expressed as [tex]3x + 2y = -12[/tex]
[tex]A.\ 3x - 2y = 12[/tex]
This can not be expressed as [tex]3x + 2y = -12[/tex]
[tex]B.\ -3x - 2y = 12[/tex]
Multiply through by -1
[tex]-1(-3x - 2y) = 12 * -1[/tex]
[tex]3x + 2y = -12[/tex]
This has the same solution as the given equation
[tex]C.\ 15x + 10y = -60[/tex]
Divide through by 5
[tex]\frac{15x}{5} + \frac{10y}{5} = \frac{-60}{5}[/tex]
[tex]3x + 2y = -12[/tex]
This has the same solution as the given equation
[tex]D.\ 6x + 2y = -12[/tex]
Divide through by 2
[tex]\frac{6x}{2} + \frac{2y}{2} = \frac{-12}{2}[/tex]
[tex]3x + y = -6[/tex]
This can not be expressed as [tex]3x + 2y = -12[/tex]
[tex]E.\ 6x + 4y = -24[/tex]
Divide through by 2
[tex]\frac{6x}{2} + \frac{4y}{2} = \frac{-24}{2}[/tex]
[tex]3x + 2y = -12[/tex]
This has the same solution as the given equation
[tex]F.\ 1.5x + y =-6[/tex]
Multiply through by 2
[tex]2*1.5x + 2*y =-6*2[/tex]
[tex]3x + 2y =-12[/tex]
This has the same solution as the given equation
[tex]G.\ x + \frac{2}{3}y = -12[/tex]
Multiply through by 3
[tex]3 * x + 3*\frac{2}{3}y = -12*3[/tex]
[tex]3x + 2y = -36[/tex]
This can not be expressed as [tex]3x + 2y = -12[/tex]
The equations with the same solution as [tex]3x + 2y = -12[/tex] are the ones that we were able to expressed as [tex]3x + 2y = -12[/tex].
And the equations are:
[tex]B.\ -3x - 2y = 12[/tex]
[tex]C.\ 15x + 10y = -60[/tex]
[tex]E.\ 6x + 4y = -24[/tex]
[tex]F.\ 1.5x + y =-6[/tex]
The ratio of the number of girls to the number of boys was 3 to 7. If 2,520 students were present, how many were girls and how many were boys
Answer: 756: 1764
756 girls and 1,764 boys
Step-by-step explanation:
Girls to boys- 3:7
Total Students: 2,520
Using the information given, you will create an equation.
3x + 7x = 2,520
10x = 2,520
X = 252
Now you plug-in 252 for x in your ratio
X is the the number of people
3(252) : 7(252)
756: 1764
Now when you add these numbers, you get 2,520 which is the total number of students in all. This proves your answer to be correct.
Hope this helps!
The number of girls were in the class is 756 and the number of boys were in the class is 1764.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of the number of girls to the number of boys was 3 to 7.
2,520 students were present
Now, 3+7 =10
Number of girls =3/10 ×2,520
= 756
So, the number of boys =2520-756
= 1764
Therefore, the number of girls were in the class is 756 and the number of boys were in the class is 1764.
To learn more about the ratio visit:
brainly.com/question/13419413.
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The average score of all high school students in math and science is 150 with a standard deviation of 25. A random sample of 125 students in a district shows an average score of 158. At 95%, is the difference significant? Follow the five-step one-sample test and write your conclusion.
Answer:
The difference is significative we reject H₀
Step-by-step explanation:
Normal Distribution
Population mean X₁ = 150
Population standard deviation σ = 25
Sample size n = 125
Sample mean X₂ = 158
1.-CI = 95 % significance level α = 5% α = 0,05
From z-table α = 0,05 z(c) = 1,64 ( the test is one-tail test to the right)
2.-Hypothesis Test
Null Hypothesis H₀ X₂ = X₁
Alternative Hypothesis Hₐ X₂ > X₁
3.-To compute z(s)
z(s) = ( X₂ - X₁ ) / σ/√n
z(s) = 8 * 11,14 /25
z(s) = 89,12/25
z(s) = 3,56
4.- Comparing z(s) and z(c)
z(s) > z(c)
Then z(s) is in the rejection region we reject H₀
2y + ( 4x+ 7) + (2x+19)|
Answer:
[tex]2y + (4x + 7) + (2x + 19) \\ = 2y + (4x + 2x) + (19 + 7) \\ = 2y + 6x + 26 \\ = 2(y + 3x + 13)[/tex]
Find the Mean, Median, Mode and Range of each series. Mean: 126 ÷ 9 = 14 1) 6 , 12 , 8 , 4 , 16 , 16 , 6 , 16 , 9 93 ÷ 9 2) 13 , 4 , 9 , 13 , 1 40 ÷ 5 3) 5 , 12 , 14 , 20 , 5 4) 20 , 18 , 12 , 2 , 13 , 1 66 ÷ 6 5) 14 , 8 , 20 , 12 , 17 , 14 , 5 Median: 5 , 7 , 8 , 10 , 15 , 17 , 21 , 21 , 22
Answer:
129-14 is 115 than minus 6 than add 12
Step-by-step explanation:
the linear equation y = 400 + 50x represents the total cost, y , per hour, x , for a lawyer at a law firm. The lawyer charges a flat retainer fee and then charge per hour of work done. true or false The y-intercept of the line is 50.
True – The , y, -intercept of the line is 50.
The y-intercept represents the flat retainer fee.
True – The, y, -intercept represents the flat retainer fee.
False – The, y, -intercept represents the flat retainer fee.
The slope of the line is 400.
True – The slope of the line is 400.
False – The slope of the line is 400.
The slope represents the cost of work per hour.
True – The slope represents the cost of work per hour.
False – The slope represents the cost of work per hour.
Answer:
453
Step-by-step explanation:
because we multiply the value with the equation
Fine the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side of the equation as a single fraction. y=7x-1/4;(5,5)
The equation is y=
Please help it’s urgent! :)
Answer:
[tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]
Step-by-step explanation:
Change the given equation to slope-intercept to get [tex]y=\frac{7}{4}x-\frac{1}{4}[/tex]. When you multiply the slopes of perpendicular lines, you get -1. -1 divided by [tex]\frac{7}{4}[/tex] is [tex]-\frac{4}{7}[/tex]. The slope of the new line is then [tex]-\frac{4}{7}[/tex]. The perpendicular line passes through (5, 5) so you can have the equation[tex]5=-\frac{4}{7} (5)+b[/tex]. Simplifying gets [tex]b = \frac{55}{7}[/tex] . So now the final equation for the perpendicular line is [tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]
what percentage of his monthly budget does tyrone spend on car expenses
Answer:
the answer is 13%
Step-by-step explanation:
OK THIS IS SUPER EASY FOR YOU BUT NOT ME HELP!!!!!
Answer:
D
Step-by-step explanation:
What is the probability that a point chosen at random will be in the shaded region?
O 17%
O 83%
O 36%
O 6%
The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub. What does B(9)=11 mean?
Answer:
B(9) = 11 means the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches
Step-by-step explanation:
Whereby the function is expressed as B(t) = d,
Where;
d = The depth of the water
Therefore, when we have B(9) = 11, by comparing with the general form of the function, B(t) = d, we have;
t = 9 = The time in minutes after Tyler began to fill the bathtub = 9 minutes
d = The depth of the water = 11 inches
Which gives the meaning of the equation, B(9) = 11 as the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches.
Please help. I really don't seem to understand this question.
Answer:
m3=15(8)+22=142
m1=19(8)-10=142
Both are equal so the answer is Yes they are parallel
Find the slope of the line that passes through the points (2, -5) and (3, -6)
Answer:
slope is -1
Step-by-step explanation:
slope is
m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1
Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. the items she bought cost a total of 160$. write an equation to determine each cost of each sweater.
Answer:
160-20=140. 140/4=$35.
bhurasi got 85%marks in s.l.c. examination if the total marks was 800,how many marks did she obtain
Answer:
680
Step-by-step explanation:
total percent=85%
total marks=800
obtain marks = total percent % 100 mutiply by total marks
Which of the following situations are equal to 2? Select all that apply.
A) 75% of 3
B) 20% of 5
C) 10% of 20
D) 50% of 4
E) 25% of 8
If you answer this you will get 100 points and marked Brainlest.
Please don't put any random anwser.
Answer:
C, D, and E
Step-by-step explanation:
Hope this helps.
Happy New Year!!
Please help me solve this...