Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
Assuming you require the equation of the line.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)
m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 8) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
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)
Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive?
If b represents the number of books each sibling receives, which equation could be used to solve the problem?
Answer:
3b = 27
Step-by-step explanation:
They will each receive 9 books
please help! will mark brainliest
Answer:
I think b sorry if im wrong
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
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
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.
#SPJ5
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
What is the probability that a point chosen at random will be in the shaded region?
O 17%
O 83%
O 36%
O 6%
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]
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
A spinner with 6 equally sized slices has 1 blue slice, 2 red slices, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue or red slice? Write your answer as a fraction in simplest form.
Answer:
1/2
Step-by-step explanation:
Step one:
given data
sample space
1 blue slice,
2 red slices, and
3 yellow slices
sample size= 1+2+3= 6
Required:
The probability that the dial stops on a blue or red slice
1. The probability that the dial stops on a blue = 1/6
2. The probability that the dial stops on a red= 2/6= 1/3
Hence The probability that the dial stops on a blue or red= 1/6+1/3
= 1+2/6
=3/6
=1/2
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]
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:
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]
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
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.
can someone help me out please
A team of 5 runners competed in a relay race. Each runner had to run 730 yards. How long was the race? (ANSWER IF YOU KNOW AND HOW YOU GOT THE ANSWER)
Answer:
3650 yds
Step-by-step explanation:
Take the length that each person ran and multiply by the number of runners
5 * 730yds
3650 yds
Answer:
length that was ran along = length the first racer runs
= 1×730
= 730 yards
what percentage of his monthly budget does tyrone spend on car expenses
Answer:
the answer is 13%
Step-by-step explanation:
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
look at picture correct answer gets brainlist
Answer:
option C is correct
4 degree polynomial with 4 terms
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
How would I graph y -1 =-5(x- 2)
U3LT8
Factor completely
11) 18x2 – 3x -6
I
ULT9
Solve by factoring
12) 2-8n=0
help please!!!!!!!!
OK THIS IS SUPER EASY FOR YOU BUT NOT ME HELP!!!!!
Answer:
D
Step-by-step explanation:
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
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
[tex]\frac{1}{2}b+2\leq -6[/tex]
Answer:
1/2 b ≤-8
Step-by-step explanation:
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.