find the slope 3x+5y=29

Answers

Answer 1

Answer: [tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

If you solve for y, then it will be in y = mx + b format where m is the slope.

3x + 5y = 29

-3x           -3x

       5y = -3x + 29

       [tex]\frac{5y}{5} = \frac{-3x}{5} + \frac{29}{5}[/tex]

       [tex]y = \frac{-3}{5}x + \frac{29}{5}[/tex]

m = [tex]-\frac{3}{5}[/tex]

             

Answer 2
Final answer:

To find the slope of the line for the equation 3x+5y=29, rewrite it in slope-intercept form y=mx+b. After isolating y, you'll find that the slope m is -3/5.

Explanation:

To find the slope of the line represented by the equation 3x + 5y = 29, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we solve for y:

Subtract 3x from both sides to get 5y = -3x + 29.Divide every term by 5 to isolate y on one side, resulting in y = -3/5x + 29/5.

Now, the equation is in slope-intercept form, and we can easily identify the slope as -3/5. This means there is a decrease of 3 on the vertical axis for every increase of 5 on the horizontal axis. Thus, the slope of the line is -3/5.


Related Questions

How to find X intercept and Y intercept from a slope intercept equation

Answers

To find the x intercept of a given linear equation, plug in 0 for y and solve for x. To find the y-intercept, plug 0 in for 'x and solve for 'y.
Final answer:

To find the X and Y intercepts from a slope intercept equation, first understand the equation structure (y = mx + b). The 'm' signifies the slope, and the 'b' indicates the y-intercept. To find the x-intercept, set y to zero and solve for x. To find the y-intercept, look at the 'b' value.

Explanation:

In a slope intercept equation written in the form y = mx + b, the x-intercept and y-intercept are determined by values of y and x when they equal zero respectively. The 'm' signifies the slope of the line, indicating the rise over run on the graph, and the 'b' indicates the y-intercept, which is the point at which the line intersects the y axis.

To find the y-intercept from a slope-intercept equation, you consider the 'b' in the equation. For instance, in the line graph, the y-intercept is 9, meaning the line crosses the y-axis at the point (0,9).

To find the x-intercept (the point where the line crosses the x-axis), you set y equal to zero and solve for x. If 'y' is equal to '0', then the equation becomes 0 = mx + b. Solving for 'x' in this equation will give the x-intercept.

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Jay and Blair went fishing. Together they catch 27 fish. Jay catch 2 times as many fish as Blair. How many fish did Jay and Blair each catch. Write an equation and solve. Explain your work.

Answers

27=2J+B

you can guess and check: 27=2(9)+9

J=jay

B=blair

We can solve this using the equation 2x+x=27. The 2x represents Jay, and the x represents Blair. We can simplify the equation to 3x=27. 27/3=9. Blair caught 9 fish, and Jay caught 18 fish. I hope this helps!

Find the equation of the line that is perpendicular to y=3y-x=7 and contains the point (2,-1).

Answers

first you want to get it into standard form. which would mean you get the x of the side of the y and divide everything by the y's coefficient in this case 3.

3y-x=a

3y=x+a

y=1/3x+a

Now your going to want to turn this into a perpendicular li e which means you flip the coefficient and make it negitive

y=-3x+a

then we fill in the points.

-1=-3(2)+a

Solve

-1=-6+a

-1+6=a

5=a

Now put it in standard form.

y=-3x+5

PLZ HELP ASAP
The system of equations is graphed on the coordinate plane.

y=−12x−1y=14x−4


Enter the coordinates of the solution to the system of equations in the boxes.

Answers

Answer-

The coordinates of the solution to the system of equations is (4, -3)

Solution-

According to the graph the equations are,

[tex]y=-\frac{1}{2}x-1\\\\y=\frac{1}{4}x-4[/tex]

We can get the coordinates of the solution to the system of equations, by substitution.

[tex]\Rightarrow y=\frac{1}{4}x-4[/tex]

Putting the value of y in first equation,

[tex]\Rightarrow \frac{1}{4}x-4=-\frac{1}{2}x-1[/tex]

[tex]\Rightarrow \frac{1}{4}x+\frac{1}{2}x=-1+4[/tex]

[tex]\Rightarrow \frac{3}{4}x=3[/tex]

[tex]\Rightarrow x=3\times \frac{4}{3}[/tex]

[tex]\Rightarrow x=4[/tex]

Putting the value of x in the first equation,

[tex]y=-\frac{1}{2}\times 4-1=-2-1=-3[/tex]

Therefore, the coordinates of the solution to the system of equations is (4, -3)



Henrieta divided 0.80 by 20 as shown. Is her work correc? If not , explain why and give a correct response.

Answers

No the 4 goes over the zero because 20 doesn’t go into 8
Final answer:

Henrieta's work is incorrect. The correct answer is 0.04.

Explanation:

No, Henrieta's work is not correct. To divide 0.80 by 20, we need to divide the numerator (0.80) by the denominator (20).

Dividing 0.80 by 20, we get 0.04.

Therefore, the correct answer is 0.04.

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Today only, a table is being sold at a 27% discount. The sale price is $438 . What was the price yesterday?

Answers

It is $600. Hope i helped

The sum of two numbers is 21. One number is three less that the other. Find the numbers.

Answers

If you look at clue #2 first then you see that if you know one of the numbers then the other number is 3 less than it, so if I let one of the numbers be x then the other is

x - 3. Now clue # 1 says the sum of the two numbers is 21 so


x + (x - 3) = 21

12+9=21 because 12-3=9 and 9+12 is 21

63.90 three friends spent on dinner. They want to split the dinner check equally.

Answers

Hello  AskMeBosh

Since we know that there are 3 friends, and 63.90 dollars would be sent, we would divide by 3

63.90/3

= 21.3

Their check for each will be 21.3 dollars

:)

The split of the dinner each has to spend 21.30.

Concept:Here the fundamental concept to be use is of division.To split up bills equally, the total bill amount has to be divided by the no of people.

How to solve the given question?  The total bill amount = 63.90No of people to split the bill = 3∴ The amount to be spent by each person = [tex]\frac{Total \ Amount}{No \ of \ people} = \frac{63.90}{3} = 21.30[/tex]

Thus, each person has to pay 21.30.

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Blake looks at his checking account balance regularly. His three lowest balance during the year are as given. - $20 < -$12< - $ 3 select from the drop-down menus to correctly complete the statement The inequality statement shows that - $20 is a (lower or higher) which one is it Balance than -$12 and - $12 is a (Lower or higher) Which one is it balance than - $3

Answers

I believe the answers are lower and lower. -20 is lower than -12, and -12 is lower than -3

hey that is my name Blake -20 lower -12 high and -3 higher

The ratio of the prices of Emma's phone to Sophie's phone is 7:8. If Sophie's phone costs $640, how much should the prices of their phones decrease in order to have a ratio of 9:11 ?

Answers

Let cost of Emma's phone = x

Given that cost of Sophie's phone = 640

Then ratio of their phones cost will be x:640 or x/640

Given that ratio of their phones cost is 7:8 or 7/8

So both ratios will be equal.

[tex]\frac{x}{640}=\frac{7}{8}[/tex]

[tex]x=\frac{7}{8}*640[/tex]

x=560


So the new ratio of the cost of their phones will be 560:640

Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.

So let that decreased amount is k then we will get equation :

[tex]\frac{560-k}{640-k}=\frac{9}{11}[/tex]

11(560-k)=9(640-k)

6160-11k=5760-9k

6160-5760=11k-9k

400=2k

200=k


Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.

Answer:

For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364

Step-by-step explanation:

To answer this question, call x on Emma's phone and z on Sophie's phone.

We know that the price relationship between x and z is 7: 8

This means that:

[tex]\frac{7}{8} =\frac{x}{z}[/tex]

We know that the price of Sophie's phone is $ 640

Entoces z = 640  

Now we clear x

[tex]\frac{7}{8} =\frac{x}{640}\\ x =640}\frac{7}{8}=560\\ x = 560[/tex]

Then, if the new relationship is 9:11 then:

[tex]\frac{9}{11} =\frac{x}{640}[/tex]

x = $523,636

For the ratio between the price of the phones to be 9:11, the price of Emma's phone must decrease from $ 560 to $ 523.66. That is, the price of Emma's phone should decrease $ 36,364

There arre a total of 82 students in robotics club and the science club the science club has 6 fewer students than the robotics club. How many students are in the science club?

Answers

Answer:

88

Step-by-step explanation:

You are just adding 82+6=88

There would be 35 students in the science club

need help asap im not good at math

Answers

g(x):

flip f(x) over x-axist and next translate 2 units down.

Look at the picture.

Therefore your answer is: B. g(x) = -x² - 2

Translations

y = f (x) + m up m units

y = f (x) - m down m units

y = f (x + m) left m units

y = f (x - m) right m units

Stretches/Shrinks

y = n · f (x) stretch vertically by a factor of n

y = 1/n · f (x) shrink vertically by a factor of m (stretch by 1/n)

y = f (1/n x) stretch horizonally by a factor of n

y = f (nx) shrink horizontally by a factor of n (stretch by 1/n)

Reflections

y = - f (x) reflect over x-axis (over line y = 0)

y = f (- x) reflect over y-axis (over line x = 0)

x = f (y) reflect over line y = x

Factor the following expression.
10x^5 + 5x^3 - 14x^2 - 7

A. (5x^3 + 7) (2x^2 -1)
B. (5x^4 + 7) (2x -1)
C. (5x^4 - 7) (2x + 1)
D. (5x^3 - 7) (2x^2 + 1)

So, I took the test already a million times already and I keep failing because of questions similar to this. I'd appreciate if you also explained the process instead of just giving an answer. Thank you!

PS: (5x^4 - 7) (2x + 1) is not the answer.

Answers

10x^5 + 5x^3 - 14x^2 - 7

= 5x^3(2x^2 + 1) - 7(2x^2 + 1)

= (5x^3 - 7)(2x^2 + 1)

Answer is D

(5x^3 - 7)(2x^2 + 1)

Answer:

D.

Step-by-step explanation:

Let's use common factor gruping terms. We have that we have a common factor between the two left terms and another common factor between the two right terms. Then,

for the two left terms we take the common divisor, in this case 5 and the x with the minimun exponent, that is 5x^3.

for the two right terms we take the common divisor, in this case -7 and the x with the minimun exponent, in this case the -7 has no x so we don't include it in the common factor.

[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)[/tex]

Now, we use common factor again, this time the common factor will be [tex]2x^2+1[/tex]:

[tex]10x^5 + 5x^3 - 14x^2 - 7 = 5x^3(2x^2+1)-7(2x^2+1)= (2x^2+1)(5x^3-7)[/tex].

Then, the answer is D.

How to represent the number 8.2 using base 10 blocks. How much each size blocks is worth?

Answers

Final answer:

To represent 8.2 using base 10 blocks, you need 8 one blocks and 2 tenth blocks, where one blocks represent 1 and tenth blocks represent 0.1. This method is effective for visualizing numbers in base 10.

Explanation:

To represent the number 8.2 using base 10 blocks, we use different sizes of blocks to represent different place values in base 10.

Each size block is worth a different value based on its place in the number.

A hundred block represents 100.A ten rod represents 10.A one block represents 1.A tenth block (also known as a flat or a piece of flat) represents 0.1.

To represent 8.2, we would need:

8 one blocks (because 8 is in the ones place).2 tenth blocks (because 2 is in the tenths place, representing 0.2).

This method of representation helps in visualizing and understanding the value of numbers in the base 10 system. It's particularly useful in educational settings for explaining the concept of place values and decimals.

Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown.

If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Bruno is correct. When going from a smaller unit to a larger unit you need to divide.
Sam is correct. When going from a larger unit to a smaller unit you need to multiply.
Sam is correct. When going from a smaller unit to a larger unit you need to multiply.

Answers

We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.

Sam and Bruno were computing how many kilometers.

Also one kilometer equals 0.621 miles.

From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.

In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.

We always divide a larger value by a smaller value to get the smaller unit.

Therefore,

Bruno is correct. When going from a larger unit to a smaller unit you need to divide.

what is the solution of 7k+2=4k-10?

Answers

This is how you do the problem. Hope this helps!

What is 20k+11=8k+1 find k

Answers

k=-5/6 would be your answer

The answer you are looking for is K = -5/6.

To find this, you must get K by itself. First, subtract 8k from both sides to get 12k + 11 = 1. Next, subtract 11 from both sides to get 12k = -10. Finally, divide both sides by 12 to get K = -10/12, which simplified, is -5/6. Thus making -5/6 the answer.

I hope this helps!

78 boxes of dvd, each box has 116 in it. 19 boxes are shipped, how many are left

Answers

I believe 6,844 dvds in total and 59 boxes left

78 - 19 = 59

If you're looking for the number of boxes that are left, its 59, but if you are looking for how many DVDs are left then you would proceed to do:

116 · 59 = 6844

6844 would be the number of DVDs that are left in the remaining boxes.

A coyote weighs 11.3 lb convert the coyotes weight to ounces

Answers

1 lb = 16 ounces

11.3 lb x 16 oz = 180.8 ounces

11.3 lb equals 180.8 oz

Answer: 180.8 ounces

Step-by-step explanation: To convert 11.3 pounds to ounces, first find the conversion factor for pounds and ounces.

Conversion factor → 16 ounces = 1 pound

Next, notice that we are going from a larger unit "pounds" to a smaller unit "ounces." When we go from a larger unit to a smaller unit we multiply.

Larger ⇒ smaller multiply

In this case, we multiply 11.3 pounds by our conversion factor which is 16 ounces.

11.3 × 16 = 180.8 oz.

This means that 11.3 pounds is equal to 180.8 ounces.

Solve for x over the complex numbers. x^2+8x+20=0

X= or X=

Answers

Steps:

[tex]x=\frac{-8+\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1}: -4+2i[/tex]

[tex]x=\frac{-8-\sqrt{8^2-4\cdot \:1\cdot \:20}}{2\cdot \:1} -4-2i[/tex]

=\frac{-8-\sqrt{16}i}{2\cdot \:1}[tex]=-8-\sqrt{16}i[/tex]

[tex]=\frac{-8-\sqrt{16}i}{2}[/tex]

[tex]=\frac{-8-4i}{2}[/tex]

[tex]=-2\left(2+i\right)[/tex]

[tex]=-4-2i[/tex]

[tex]x=-4+2i,\:x=-4-2i[/tex]

Answer:you can use the quadratic formula but if you have to factor do the following:

x^2+8x+20=0

add -4 to both sides of the equation to complete the square

x^2+8x+20+(-4)=0+(-4)

x^2+8x+16=-4

(x+4)^2=-4

take the square root of both sides

x+4=+sqrt(-4)

x+4=+sqrt[(4)(-1)]

x+4=+2sqrt(-1) where sqrt(-1)=i, a complex number

x+4=+2i

x=-4+2i

x=-4+2i and x=-4-2i

you would get the same answer using the quadratic formula

Step-by-step explanation:

match the number with its opposite ONE NUMBER FOR EACH ONE. 3.2 A 2.3 -2.3 B -3.2. -1.5 C 1.5 5.1 D 5.1

Answers

3.2=-3.2

2.3=-2.3

1.5=-1.5

5.1=-5.1

8 more than 5 times a number is -27

Answers

8 + 5n = -27

5n = -35

n = -7

What is another way to write 2.64 x 100

Answers

2.64•100
Or
Two and Sixty four times one hundred

Two point Sixty four times one hundred

264. Is another way once you multiply it.

What is the measure of

Answers

what bro. thats not even a question
69 is the measure of -3384

I don’t know how to do this question

Answers

let x represent the number of apples and y represent the number of oranges.

TOTAL: x + y = 112  

                  y = 112 - x

PEELED: [tex]\frac{3}{8}x = \frac{1}{2}y[/tex]

[tex](8)\frac{3}{8}x = (8)\frac{1}{2}y[/tex]

3x = 4y

3x = 4(112 - x)

3x = 448 - 4x

7x = 448

x = 64

y = 112 - x

  = 112 - 64

  = 48

a) There are 64 apples and 48 oranges

Peeled apples: [tex]\frac{3}{8}x = \frac{3}{8}(64)[/tex]= 3(8) = 24

Unpeeled apples: 64 - 24 = 40

Unpeeled - Peeled: 40 - 24 - 16

b) there are 16 more unpeeled apples than peeled apples

Can yall plz help!!!

Answers

Number one would be -8

A store is having a sale where movies are 15 percent off their original price. A movie is on sale for $22.10. What was the original price of the movie?

Answers

the origncal price would be $26 I kinda did a guess and check but if you multiple 26 by 15% you get 3.9 and 26 minus 3.9 is 22.10

Solve for t. −22t>66 Enter your answer, as an inequality, in the box.

Answers

t<-3 should be the answer. I hope this helps


[tex] - 22t > 66[/tex]

divide both sides by -22
[tex]t < - 33[/tex]
the sign needs to be flipped due to dividing by a (-).

The volume of a spherical tank is 790.272 pie cubic feet what is the

Answers

We are given the  volume of a spherical tank =  790.272 π cubic feet.

We need to find the diameter of the container .

We know formula for volume of a sphere.

[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]

Where r is the radius.

Plugging V= 790.272 π  in the above formula, we get

[tex]790.272\pi =\frac{3}{4}(r^{3}\pi)[/tex]

Dividing both sides by π, we get

790.272 =[tex]\frac{4}{3}(r^{3})[/tex]

Multiplying both sides by 3, we get

2370.816 = [tex]4r^3[/tex]

Dividing both sides by 4, we get

592.704 = [tex]r^3[/tex]

Taking cube root on both sides, we get

r=8.4.

Diamater is 2 times of radius, that is 2 × 8.4 = 16.8

Therefore, the diameter of the container = 16.8 feet.

Algebra problems. Can anyone help?

Answers

Answer:

Problem 1: The correct answer is B.

Problem 2: The correct answer is A.

Problem 3: The correct answer is B.

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