Mathematics College

Write the equation in slope-intercept form and determine its slope:15y = 10x + b

Answers

Answer 1

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

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

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

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

Which best describes the relationship between the lines with equations 2x 9y = 1 and x + 8y = 6?A. perpendicularB.

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.

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 1

Where:

M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5

Substitute 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 = -6

For data 156,

M' = -5

For data 162,

M' = 162-161 = 1

For data 164,

M' = 164-161M' = 3

For data 168,

M' = 168-161M' = 7

∑M' = -6+(-5)+1+3+7∑M' = 0

Hence, 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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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,

$\Rightarrow f(n+1)=[f(n)]^2$

224 x 36

Pls help me

Answers

224 times 36 equals 8064. :)

Answer:

8,064 i hope it is helpful have a nice day

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

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

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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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 minutes

Based 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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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

What is the value of the x in the given diagram?

Answers

Answer:

send the whole statement

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 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

Please show work ThankYou very much 25 points to whoever does it

Answers

Answer: 3 answer

Step-by-step explanation:

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

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

Which fraction is equivalent to r on the model

Answers

Answer:

I think you forgot to include the model

Good luck:)

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

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

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. (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:

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.

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

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

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

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 :)

5/8

Step-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:

$\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58$

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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