Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50

Answer:

y = [tex]-\frac{1}{5}x[/tex] - 4

Step-by-step explanation:

As we know the point slope form of an equation is as follows -

y - y₁ = m ( x - x₁ )

As we have slope , m = [tex]-\frac{1}{5}[/tex]

And point (x₁ , y₁ ) = ( -5, -3)

⇒ y - ( -3) = [tex]-\frac{1}{5}[/tex] ( x - (-5) )

⇒ y + 3 = [tex]-\frac{1}{5}[/tex] ( x + 5 )

⇒ y + 3 = [tex]-\frac{1}{5}[/tex] x - 1

⇒ y =  [tex]-\frac{1}{5}[/tex] x - 1 - 3

⇒ y =  [tex]-\frac{1}{5}[/tex] x - 4

So, the equation becomes

y = [tex]-\frac{1}{5}x[/tex] - 4

Answer:

oh dang i hated doing these when i was in sixth grade lol umm  55?????

Step-by-step explanation:

Given:

m = 10

The line passes through the point (6,2).

To find:

The equation of line in the standard form.

Solution:

If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is

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

The line passes through the point (6,2) and m = 10. So, the equation of line is

[tex]y-2=10(x-6)[/tex]

[tex]y-2=10x-60[/tex]

[tex]y-10x=-60+2[/tex]

[tex]-10x+y=-58[/tex]

Therefore, the correct option is A.

The y-intercept of function  1 is -5.

The y-intercept of function 2 is -5.

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Consider the function to be in the form of p = mr + c

Where x is the y-intercept.

Function 1.

p = (-3/2)r - 5 _______(1)
y-intercept = -5

Function 2.
Let p = mr + c

Take two pairs from the table.

(0, -5) and (1, -6.5)

m = (-6.5 + 5) / (1 - 0) = -1.5

(0, -5) = (r, p)

-5 = -1.5 x 0 + c

c = -5

Now,

p = -5x - 5 ______(2)

y-intercept = -5

From (1 ) and (2)

Both have the same y-intercept.

Thus,

Function 1 and Function 2 have the same y-intercept.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

-3(3x-5y-9)

Step-by-step explanation:

Answer:

y=7

Step-by-step explanation:

2x2=4 +3 =7 y

Answer:

2

Step-by-step explanation:

Answer:

Its 1/4 boys dont worry i got you

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

HOPE THIS HELPS

Answer:A

Step-by-step explanation:

Answer:

6. p = 4

7. m = 7

8. n = 13

9. z = 5

10. x = 4

11. y = 9

Step-by-step explanation:

You can divide the solution by the number next to the letters/variables.

For example, to find 9p = 36 you can do 36 ÷ 9 which equals 4.

To double check, you can multiply your quotient by the divisor.

So to check if p = 4, you can do 9 x 4 which equals 36, therefore it is the solution.

Answer:

15

Step-by-step explanation:

if every $11 dollars he save $5, and sense he made $33 ( he done three babysitting)

11-5= 5 (does that three times) [5+5+5} when you add the three five , u should have 15 dollars.

so he save 15 dollars.

Answer:

Step-by-step explanation:

Answer:

36a+18

Step-by-step explanation:

20a+16a=36a

18 does not have a "like term", so just leave it.

Answer:

Only Cory is correct

Step-by-step explanation:

The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;

[tex]F =G\times \dfrac{M \cdot m}{r^{2}}[/tex]

Where;

G = The universal gravitational constant

M = The mass of one object

m = The mass of the other object

r = The distance between the centers of the two objects

For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km

Therefore, for an astronaut in the international Space Station, r = 6,800 km

The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;

[tex]\dfrac{F_1}{F_2} = \dfrac{ \dfrac{M \cdot m}{R^{2}}}{\dfrac{M \cdot m}{r^{2}}} = \dfrac{r^2}{R^2} = \dfrac{(6,800 \ km)^2}{(6,371 \ km)^2} \approx 1.14[/tex]

∴ F₁ ≈ 1.14 × F₂

F₂ ≈ 0.8778 × F₁

Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth

However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity

Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.

Answer: All Real Number

Step-by-step explanation:

This is a system of equation, and generally, there are three ways to solve:

Here, we are going to use elimination

------------------------------------------------------------------------------------

Given

-2x-y=1

-6x=3y+3

Put them in the same order

-2x-y=1

-6x-3y=3

Multiply 3 on both sides for the first equation

-6x-3y=3

-6x-3y=3

We subtract the first equation from the second equation

0=0

The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.

Hope this helps!! :)

Please let me know if you have any questions

Given:

A model of a famous statue is [tex]3\dfrac{1}{2}[/tex] inches tall. The actual statue is [tex]5\dfrac{1}{4}[/tex] feet tall.

To find:

The the ratio of the height of the model to the height of the actual statue in simplest form.

Solution:

We have,

Height of the model = [tex]3\dfrac{1}{2}[/tex] inches

Height of the actual statue = [tex]5\dfrac{1}{4}[/tex] feet.

Now, the ratio of the height of the model to the height of the actual statue is:

[tex]\text{Ratio}=\dfrac{\text{Height of model}}{\text{Height of actual statue}}[/tex]

[tex]\text{Ratio}=\dfrac{3\dfrac{1}{2}\ in.}{5\dfrac{1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{3(2)+1}{2}\ in.}{\dfrac{5(4)+1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\ ft}[/tex]

We know that 1 ft = 12 in.

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\times 12\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{21\times 3\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{7}{2\times 21\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{2\times 3\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{18}[/tex]

Therefore, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]\dfrac{1}{18}[/tex].

Answer:

150 cm.

Step-by-step explanation:

The number of parts = 1 + 2 + 5 = 8 so:

the largest part = 5/8 * 240

= 5 * 30

= 150 cm.

Answer:

It's

Step-by-step explanation:

9a-3b

because 3×3a is 9a and 3×-b is -3b hope this helps

Answer:

8) A   9) B

Step-by-step explanation:

For question 8 just combine like terms, combine the numbers that have the same variables. Number 9, distribute the 3 to the rest of the equation.

Hope this helped :)

Answer: a) 25%

b) 75% Chebyshev interval around the sample mean=(6,18)

Step-by-step explanation:

Given: Sample mean: [tex]\overline{x}=12[/tex]

Sample standard deviation: s= 3

a) Coefficient of variation = [tex]\dfrac{s}{\overline{x}}\times100[/tex]

[tex]\\\\=\dfrac{3}{12}\times100\%=\dfrac{100\%}{4}\\\\=25\%[/tex]

b) According to the Chebychev's theorem,

75% of the population lies within 2 standard deviations from the sample mean.

i.e. 75% Chebyshev interval around the sample mean. = [tex](\overline{x}-2s,\ \overline{x}+2s)[/tex]

[tex]=(12-2(3),\ 12+2(3))\\\\=(6, 18)[/tex]

Hence, the 75% Chebyshev interval around the sample mean=(6,18)

The simplified version of this x-2z

Step-by-step explanation:

You need to start by combining like terms. You can start with the terms that have the variable x in them. By combining those terms, the equation becomes x+3y-z-3y-z.

From here, you can combine the terms 3y and -3y, which bring the equation to x-z-z.

From here, combine the terms with the variable z. This would bring the equation down too x-2z, your final answer.

Answer:-15

Step-by-step explanation:

Answer:

umm... thirteen....

13

Answer: lol why so expensive.

Answer:

brainlist plzz

Step-by-step explanation:

D....................................

Step-by-step explanation:

the answer is x times (x^2 +xy-y^2 - x^2 y^32)

Answer:

Step-by-step explanation:

What you gave, is an expression. There is no answer. The only thing that can be done is factor out the 1/2

[tex]\frac{1}{2}(d+12)[/tex]