Write the equation in slope-intercept form and determine its slope:15y = 10x + b
Answers
ANSWER
\(\begin{gathered} y=\frac{2}{3}x+\frac{b}{15} \\ \\ slope=\frac{2}{3} \end{gathered}\)EXPLANATION
We want to put the equation in slope-intercept form:
\(15y=10x+b\)The general form of the slope-intercept form of a linear equation is:
\(y=mx+b\)To do that, divide both sides of the given equation by 15:
\(\begin{gathered} \frac{15y}{15}=\frac{10x}{15}+\frac{b}{15} \\ \\ y=\frac{2}{3}x+\frac{b}{15} \end{gathered}\)From the slope-intercept form of the linear equation, m represents the slope while b represents the y-intercept of the equation.
Comparing the given equation to the general equation, we see that the slope of the equation is:
\(slope=\frac{2}{3}\)That is the answer.
Related Questions
9.8x7.6 multiple I need help please
Answers
Answer:
74.48
Step-by-step explanation:
Just Multiply 9.8 and 7.6
Answer:
74.48
Step-by-step explanation:
9.8x7.6= 74.48
All you need to do is line up the numbers and multiply like normal if you get a ten or higher it will go to the next number up
HELP Which of the following is NOT a property of a magnet, exerts magnetic force, has magnetic poles, some magnets have two north poles, has a magnetic field
Answers
Answer:
Some magnets have two north poles
What is the value of the x in the given diagram?
Answers
Answer:
send the whole statement
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Answers
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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Which fraction is equivalent to r on the model
Answers
Answer:
I think you forgot to include the model
Good luck:)
Which of the following coordinates would be the reflection of the point (7, -2) over the x-axis.
a)( -7,-2) b) (7,2 ) c) (-7,2) d) ( 2,7)
Answers
Answer:
The correct answer is B) (7,2).
Step-by-step explanation:
I hope this helps!
PLEASE HELP ME ITS ALGEBRA THANKSSSS
Answers
Answer:
24 kg
Step-by-step explanation:
21 kg every 7 hr
21kg/7hr = 3kg/hr
This means he prepares 3 kg of dough every hour.
After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough
224 x 36
Pls help me
Answers
Answer:
8,064 i hope it is helpful have a nice day
Can someone help with this? Thank you!
Answers
The value of x is 24 and different angles of hexagon will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
Describe angle.An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.
We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).
Given the figure is hexagon,
the sum of angles of a hexagon is 720,
Upon adding the given angles,
mA = (7x-8)°
mB (4x+46)°
mC = (5x)
mD = (6x+12)°
mE = (x+7)°
mF = (5x-9)°
⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720
⇒ 28x + 48 = 720
⇒ 28x = 672
⇒ x = 24
Therefore, the angles will be -
A = 160
B = 142
C = 120
D = 156
E = 31
F = 111
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Draw the dilation of ABC using center P and a scale factor of 1/3 Draw the dilation of ABC using center A and a scale factor of 2. . Explain how they are similar.
Answers
Let's begin by listing out the information given to us:
\(A(5,6),B(5,10),C(8,3)\)A scale factor of 1/3 means the triangle will be smaller (reduction):
\(\begin{gathered} P=(2,3) \\ AB=4\Rightarrow A^{\prime}B^{\prime}=\frac{4}{3} \\ BC=\sqrt[]{58}\Rightarrow B^{\prime}C^{\prime}=\frac{\sqrt[]{58}}{3} \\ AC=\sqrt[]{18}\Rightarrow A^{\prime}C^{\prime}=\frac{\sqrt[]{18}}{3}=\sqrt[]{6} \end{gathered}\)A scale factor of 2 means the triangle will be bigger (enlargement):
\(\begin{gathered} A^{\prime\prime}=2A=2(5,6)=(10,12) \\ B^{\prime\prime}=2B=2(5,10)=(10,20) \\ C^{\prime\prime}=2C=2(8,3)=(16,6) \end{gathered}\)Both triangles are similar; while the first is a reduction, the second is an enlargement
Alonzo runs each lap in 8 minutes. He will run at most 11 laps today what are the possible numbers of minutes he will run today. Use t for the number of minutes he will run today. Write your answer here as an inequality
Answers
The inequality that represents the number of minutes Alonzo will run today is t ≤ 8n.
How to write an inequality?An inequality should include and relate the variables in a situation. Here are the variables in this case:
The number of laps that he will run today. This will be represented with the letter n.Total time. This will be represented with the letter t.Time per lap: 8 minutesBased on the above, a possible inequality to represent this situation is:
t ≤ 8n
Time will be equal to 8 multiplied by the number of laps which can be 11 or less 11.
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If line lis parallel to line m, find the value of x and y. (please help taking a test)
(7x + 12)
(12x - 28)
(9y - 77)"
O x = 10.3 and y = 17.9
O x = 8 and y = 21
O x = 7 and y = 12
x = 12 and y = 7
Answers
Answer:
x=8 and y=21
Step-by-step explanation:
12x-28=7x+12 (the 2 angles are equivalent)
12x-7x=12+28
5x=40
x=8
9y-77 + 12x-28 =180 (the sum of those 2 angles is a flat angle (180°))
9y-77+12*8-28=180
9y=180+28+77-96
9y=189
y=21
In 1980, James planted a tree that was 1 foot tall.the radical function H (t)In 1996, that same tree was 71 feet tall. James finds that the height of the tree can be modeled byWhat is the value of k?Vkt + 1, where H (t) isthe height of the tree in feet, t is the number of years since 1980, and k is a specific constant.• 816.67© 17.50• 306.25• 51.04
Answers
Answer:
Given that,
In 1980, James planted a tree that was 1 foot tall.
In 1996, that same tree was 71 feet tall.
James finds that the height of the tree can be modeled by H(t),
\(H(t)=\sqrt{kt}+1\)where H (t) is the height of the tree in feet, t is the number of years since 1980.
To find the value of k.
Explanation:
Since it is given that, In 1980, James planted a tree that was 1 foot tall.
when t=0, we get the height of the tree as,
\(H(t)=1\)Therefore, t is the number of years since 1980.
we have that, In 1996, that same tree was 71 feet tall.
t=1996-1980
t=16
and H(t)=71.
Substitute these values in the given equation we get,
\(71=\sqrt{16\times k}+1\)\(71-1=4\sqrt{k}\)\(70=4\sqrt{k}\)\(\sqrt{k}=\frac{70}{4}\)\(\sqrt{k}=17.5\)\(k=17.5^2\)\(k=306.25\)The value of k is 306.25
Answer is: 306.25
Solve |y + 2| > 6
thanks
Answers
Answer:
\(\huge\boxed{y>4\ \vee\ y<-8}\\\boxed{y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)}\)
Step-by-step explanation:
\(|y+2|>6\iff y+2>6\ \vee\ y+2<-6\qquad|\text{subtract 2 from both sides}\\\\y+2-2>6-2\ \vee\ y+2-2<-6-2\\\\y>4\ \vee\ y<-8\Rightarrow y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)\)
Divide. (54t2−81t)÷(9t)
Answers
Answer:
The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.
Step-by-step explanation:
Answer:
81t2+16
Step-by-step explanation:
(9t-4)(-9t-4) : Equation
Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.
Where : a=9t, b=-4, c=-9t, d=-4.
This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).
Now we have to Apply minus-plus rule.
Where: -(-a)=a.+(-a)=-a
-9t.9t - 9t.4 + 4.9t = 4.4
=81t2+16
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IXL AA.3 7th grade! (click photo)
Answers
Answer:
do 84.32 - 12.4
Step-by-step explanation:
simple as that
Answer: 71.92
Step-by-step explanation:
Find a . the mean ; b . the deviation from the mean for each data item ; and c . the sum of the deviations in part ( b ) for the following group of data items . 155 , 156 , 162 , 164 , 168
Answers
(a) The mean of the data item from the group data is 161.
(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.
(c) The sum of the deviation is 0
What is a group data?Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
(a) To find the mean of the data, we use the formula below.
Formula:
M = ∑x/n.......... Equation 1Where:
M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5Substitute these values into equation 1
M = 805/5M = 161(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.
M' = x-M
For data 115,
M' = 155-161 = -6For data 156,
M' = -5For data 162,
M' = 162-161 = 1For data 164,
M' = 164-161M' = 3For data 168,
M' = 168-161M' = 7(c) The sum of the deviation is
∑M' = -6+(-5)+1+3+7∑M' = 0Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7 and the sum of the deviation of the data is 161 and 0 respectively,
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Paula's time swimming in the triathlon was 1 hour 25 minutes. Her time biking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. How long did it take her to complete all three parts of the race?
Answers
Answer:
12 hrs 40 mins
Step-by-step explanation:
1:25 + 6:25 + 4:50 = 11:100 -> 12:40
9514 1404 393
Answer:
12 hours 40 minutes
Step-by-step explanation:
Paula's total time was ...
swimming + biking + running
= 1:25 +(1:25 +5:00) +4:50 = 1:25 +6:25 +4:50 . . . . (hours:minutes)
= 7:50 +4:50 = 11:100 = 12:40
It took Paula 12 hours 40 minutes to complete the 3 parts of the race.
Is this right help me PLEASE
Answers
Answer:
Letter B, C and E are correct
Step-by-step explanation:
hope this helps
tell if you got it right
Answer:
Letter B, C and E are correct
Step-by-step explanation:
hope this helps
Look at the pattern shown below.
2, 4, 16, 256 ...
What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?
A. (F(n))^2
B. 2(f(n))
C. (F(n)-1)^2
D. 2(f(n)-1)
Answers
Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)
So, for the \(n^{th}\) term, the function is \(f(n)\)
For the next term, it is \(f(n+1)\)
So,
\(\Rightarrow f(n+1)=[f(n)]^2\)
You have loaned a friend %100 and will charge him 5% annual simple interest when he pay it back.
Answers
Answer:
bro nobody can figure this out you need to word the entire question with numbers and all. and proper English pls
of the 50 students in the cafeteria, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair.
Answers
Answer:
105 students
Step-by-step explanation:
7/50 = x/750
(7 * 750)/50 = 5250/50
= 105
a square has an area of 1 square unit what is the length of the square
Answers
Answer:
The length is one
Step-by-step explanation:
The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1
Which best describes the relationship between the lines with equations 2x – 9y = 1 and x + 8y = 6?
A. perpendicular
B. neither perpendicular nor parallel
C. parallel
D. same line
Answers
9514 1404 393
Answer:
B. neither perpendicular nor parallel
Step-by-step explanation:
If the lines were perpendicular, the coefficients would be swapped and one negated. (You would have 8x -y = c, or 9x +2y = c in the system.)
If the lines were parallel, the coefficients in the two equations would only differ by a common factor. (Both equations would reduce to 2x -9y = c, or x +8y = c.)
The lines are not the same line (coefficients are different).
So, the only reasonable description is ...
neither perpendicular nor parallel
List what you are thankful for! (It's Thanksgiving! Answer if you bake! Or if you like cakes pies cookies and treats!!! )
Answers
Answer:
I'm thankful for everything :3
I do not know how to bake but I love cookies UvU
Step-by-step explanation:
Answer:
My family!
Step-by-step explanation:
I am baking cheesecake
irene bought 9/16 pound of wheat flour and 4/16 pound of rye flour to use in a bread recipe. How much flour did irene buy in all?
Answers
Irene bought 13/16 flour because you add 9/16 to 4/16 the denominator always stays the same when adding. 9+4=13 so the answer is 13/16
Please show work ThankYou very much 25 points to whoever does it
Answers
Answer: 3 answer
Step-by-step explanation:
Plzz help. Giving everything.
D. 24.5
Answers
Answer:
\(\frac{8}{14} = \frac{14}{x+2}\) (since they're similar, set them up as a proportion to find x)
14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)
196 = 8x +16 (subtract 16 from both sides)
180 = 8x (divide both sides by 8)
x= 22.5 (is your answer, or C)
Step-by-step explanation:
Divide 0.0844 /(-0.72) and round to the nearest hundreths
Answers
Answer:
-0.12
Step-by-step explanation:
0.0844/(-0.72)=-0.11722222222
-0.11722222222 rounded to the nearest hundredths in -0.12
Answer:
- 0.11722222222
Step-by-step explanation:
- 0.0844 ÷ - 0.72 = - 0.11722222222
94 POINTS!!!!!! EASY STATS QUESTION. SHOW WORK
A jar contains 4 marbles - 3 Red & 1 Blue. Two marbles are drawn with replacement after each draw. What is the probability that the same color marble is drawn twice?
Answers
Answer: hii :)
5/8Step-by-step explanation:
The probability of a red marble being drawn in both turns = 9/16, and the probability of a white marble being drawn in both turns = 1/16. So, the total probability = (9/16) + (1/16) = 10/16 = 5/8.
Hopefully this helps you
- Matthew
Answer:
\(\sf \dfrac58\)
Step-by-step explanation:
Given:
3 red marbles1 blue marblesTotal marbles = 4\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
\(\implies \sf \textsf{P(red marble)}=\dfrac{3}{4}\)
\(\implies \sf \textsf{P(blue marble)}=\dfrac{1}{4}\)
As the marbles are replaced:
\(\implies \sf \textsf{P(red marble) and P(red marble)}=\dfrac{3}{4} \times \dfrac{3}{4}=\dfrac{9}{16}\)
\(\implies \sf \textsf{P(blue marble) and P(blue marble)}=\dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{16}\)
Therefore:
\(\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58\)