The quantities of X and y are proportional (7,35) (12,60) (20,100) find the constant of proportionality

<img src="https://tex.z-dn.net/?f=5%20%5Ctimes%20%5Cfrac%7B4%7D%7B7%7D%20" id="TexFormula1" title="5 \times \frac{4}{7} " alt="5

Butoxors [25]

$\bf 5\times \cfrac{4}{7}\implies \cfrac{5\cdot 4}{7}\implies \cfrac{20}{7}\implies \cfrac{14+6}{7}\implies \cfrac{14}{7}+\cfrac{6}{7}\implies 2+\cfrac{6}{7}\implies 2\frac{6}{7}$

4 0

3 years ago

Read 2 more answers

I don't get this can someone help me?

pickupchik [31]

Answer:

n=5

x= 23

p= 4

Step-by-step explanation:

What this wants us to do is find the value of the variable first, then find the measurement of the degrees.

So, for the first equation we need to make an equation.

Since the angles are vertical angles, that means they equal each other.

The equation would be.. 8n=9n-5.

Step 1- Move variable to the left hand side and change its sign

8n-9n= -5

Step 2- Collect like terms

-n= -5

Step 3- Change signs on both sides of the equation

n=5

So, now that we know what the variable is, substitute it into the equations.

8(5)= 40 9(5)-5= 40

For the second equation, the angles equal 180 degrees.

So, that would give us the equation.. 6x+19+x= 180.

Step 1- Add the common variables

(6x+x)+19= 180

7x+19= 180

Step 2- Subtract 19 from both sides.

7x+19= 180

-19 -19

7x= 161

Step 3- Divide both sides by 7

7x= 161

7 7

x= 23

So, now that we know what the variable is, substitute it into the equations.

6(23)+19= 157

157+23= 180

Finally for the last equation, they are vertical angles, so they equal each other.

So, the equation would be 5p+28= 12p.

Step 1- Move the variable to on side.

5p+28= 12p

-5p -5p

28= 12-5p

Step 2- Subtract the variables

28= 7p

Step 3- Divide by 7 to both sides.

28= 7p

7 7

p= 4

So, now that we know what the variable is, substitute it into the equations.

5(4)+28= 48

12(4)= 48

Hope this helps!! :)

5 0

3 years ago

The first two terms of an arithmetic sequence are 7 and 4. Find the 7th term.

kobusy [5.1K]

EXPLANATION

If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+(n+1)d$

Check wheter the difference is constant:

Compute the differences of all the adjacent terms:

$d=a_{n+1}-a_n$

Replacing terms:

4-7 = -3

The difference between all of the adjacent terms is the same and equal to

d = -3

The first element of the sequence is

$a_1=7$ $a_n=a_1+(n+1)d$

Therefore, the nth term is computed by

d= -3

$a_n=7+\text{ (n-1)}\cdot(-3)$

Refine

d= -3 ,

$a_n=-3n+10$

Now, replacing n=7

$a_7=-3\cdot7+10\text{ = -11}$

So, the answer is -11.

8 0

1 year ago

Please huryyyyyyyyy please helpppppp

Marrrta [24]

The square root of integers where one can get the number 2.71 will be between 7 and 8.

The square root of integers where one can get the π will be between 9 and 10

<h3>How to illustrate the value?</h3>

It should be noted that the square of a number simply means multiplying the number by itself.

Therefore, the.square root of integers where one can get the number 2.71 will be between 7 and 8.

Also, the square root of integers where one can get the π will be between 9 and 10

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

5 0

1 year ago

4x-2y=-1 -4x+4y=-2 please help

Shtirlitz [24]

4x-2y=-1
Slope = 2
x-intercept = -1/4
y-intercept = 1/2

-4x+4y=-2
Slope = 1
x-intercept = 1/2
y-intercept = 1/-2

3 0

2 years ago