Simplify:
M = 4/9 + 11/72
N = 8/15 - 1/3
O = 8/7 + 9/35
P = 3 - 2/10
Q = 11/15 + 1/6
R = 3/4 - 7/10​

Answer:

Step-by-step explanation:

[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9

Answer:

(-3, 4)

Step-by-step explanation:

5(7x - 2y = -29)

35x - 10y = -145

9x + 10y = 13

44x = -132

x = -3

7(-3) - 2y = -29

-21 - 2y = -29

-2y = -8

y = 4

Answer:

h(t) = -3 + 1.5t

Step-by-step explanation:

Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.

h(t) = -3 + 1.5t

Answer:

The equation for the nth term of the arithmetic sequence is:

[tex]a_{n} = a + (n-1)d\\[/tex]

The [tex]a_{30}[/tex] is 140

Step-by-step explanation:

"a" represents the first term which is -5.

"d" represents the common difference which is 5.

To find the common difference, just subtract the 2nd and 1st term.

0 - (-5) = 5

Now put the values in the equation:

[tex]a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5[/tex]

We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.

[tex]a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140[/tex]

So the 30th term is 140

Answer:

180

Step-by-step explanation:

[tex]16+16*5+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+84\\180[/tex]

Answer:

180

Step-by-step explanation:

Answer:

Or is separate

And is together

Answer:

116

Step-by-step explanation:

First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:

(14x+4)+(5x-1)+(2x+9)=180

x=8

Then to find angle A put 8 in place of x. 14(8)+4=116

Answer:

[tex]116 \degree[/tex]

Step-by-step explanation:

Interior angles of a triangle is added up to 180°

Therefore,

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]

Now you can solve this equation and find the value of x

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]

Now you can Find the value of <A

[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

45

Step-by-step explanation:

2x+2x+2x+3x+3x=540(sum of angels in a five sided polygon)

12x=540

x=45

Answer:

50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y

Step-by-step explanation:

x* 2½ = 15/16

x * 5/2 = 15/16

x = 15/16*2/5

x = 3/8

Answer:

3/8

Step-by-step explanation:

[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]

Answer:

According to the question,

[tex]12x + 8x + 5x = 75[/tex]

_____________________

[tex]12x + 8x + 5x = 75[/tex]

[tex]25x = 75[/tex]

[tex]x = \frac{75}{25} [/tex]

[tex]x = 3[/tex]

Now,

[tex]12x = 36[/tex]

[tex]8x = 24[/tex]

[tex]3x = 15[/tex]

So,

75 in the ratio of 12 : 8 : 5 is

36, 24 and 15

Answer:

36 : 24 : 15

Step-by-step explanation:

sum the parts of the ratio, 12 + 8 + 5 = 25 parts

Divide the quantity by 25 to find the value of one part of the ratio

75 l ÷ 25 = 3 l , then

12 parts = 12 × 3 = 36 l

8 parts = 8 × 3 = 24 l

5 parts = 5 × 3 = 15 l

Answer:

7! = 5040

Step-by-step explanation:

7! is a factorial expression that can be solved as follows:

7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Therefore, 7! = 5040

Step-by-step explanation:

[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]

[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]

[tex] \\ = \frac{4 + 10}{3} [/tex]

[tex] \\ = \frac{14}{3} [/tex]

[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]

Answer:

Nope

Step-by-step explanation:

If you do the line test you would see that two dots touch the line and that means it is not a function.

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

Learn more about the Lines here:

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Answer:

- 8

Step-by-step explanation:

Evaluate g(- 64) then substitute the value obtained into f(x)

g(- 64) = [tex]\sqrt[3]{-64}[/tex] + 1 = - 4 + 1 = - 3 , then

f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8

Answer:

I believe the answer is 20 cds

Step-by-step explanation:

got Ben to have twice her CDs he would have to have 24 while she had 12.

if Ali gave away 40 percent than 12 would be 60 percent.

from there I cross multiplied.

If the total number of CDs is 36, it is not possible to distribute them in a way that Ben receives twice as many as Ali after Ali gives away 40% of her CDs.

Let's assume the number of CDs Ali originally had is "x," and the number of CDs Ben originally had is "y."

According to the information given:

1. Ali and Ben have a total of 36 CDs: x + y = 36

2. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali:

Ali gives away 40% of x, which is 0.4x CDs.

After this, Ali has x - 0.4x = 0.6x CDs left.

Ben receives 0.4x CDs from Ali and now has y + 0.4x CDs.

According to the second statement, y + 0.4x = 2(0.6x).

Now, we have a system of two equations:

x + y = 36 ........(1)

y + 0.4x = 2(0.6x) ........(2)

First, let's simplify equation (2):

y + 0.4x = 2(0.6x)

y + 0.4x = 1.2x

Now, to solve for x, isolate y in equation (1) and substitute it into equation (2):

y = 36 - x

Substitute y in equation (2):

36 - x + 0.4x = 1.2x

Combine like terms:

36 = 1.2x + x - 0.4x

36 = 1.6x

Now, solve for x:

x = 36 / 1.6

x = 22.5

Since the number of CDs cannot be a decimal, let's reevaluate the equations.

From equation (1):

x + y = 36

Substitute the value of x we found:

22.5 + y = 36

y = 36 - 22.5

y = 13.5

Now, we have found that Ali originally had 22.5 CDs, which is not possible. However, since the number of CDs must be a whole number, it means there might be a mistake in the problem statement.

To know more about Ben:

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Answer:

answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

20 feet

Step-by-step explanation:

Using Pythagoras rule:

25^2 - 15^2

625 - 225

400

√400 = 20 feet

Answer:

look at the picture i have sent

Answer:

A: (x = 34, y = -27, z = -1)

Step-by-step explanation:

Plug the variables in. It might be tedious, but it guarantees you get it right.

Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.

In case you still weren't sure if the answer was A or not;

B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.

C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.

D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!

A is the correct answer.

Answer:

a = - 5/3

Step-by-step explanation:

Answer:

I have simplified it to −

2 ^ 3 − 3 ^2 +  

Step-by-step explanation:

[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]

[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]

[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]

[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]

Hope It's Help

Answer:

so this is what it should be let me know if this Is wrong

Answer:

24 or 12

Step-by-step explanation:

Answer:

FE = 43.2

Step-by-step explanation:

FE/36 = 24/20

multply both sides by 36

FE = 24/20 * 36

FE = 43.2