solve each equation by substitution

1, y=6x+14

6x+5y=-2

2 y=-2x-2

y=-4x+4

3, x-5y=-20

7x+3y=12
i need the equation too

Answer:

x=18

Step-by-step explanation:

6x-3 and 75 are not equal to each other. If you look closer you can see that 75 is an acute angle making it less than 90 degrees and 6x-3 is an obtuse angle meaning it is bigger than 90 degrees. Therefore you add both 75 and 6x-3 to get 180 because 180 is equal to a straight line and an acute angle and an obtuse angle both form a straight angle when together. So your problem would be 75+(6x-3)=180

Answer:

(4,1)

Step-by-step explanation:

Using substitution you can determine that 2*4-7 is in fact equal to 1

Answer:

-8x-21=3y or -8/3x-7=y or 8x+y+21=0

Step-by-step explanation:

First find the slope of 3x-8y=16.

3x-16=8y (divide both sides by 8 so that y is isolated)

3/8x-2=y The slope is 3/8. The perpendicular slope is the negative reciprocal of 3/8, which is -8/3

Using the points, the equation of the line can be found.

(-8/3=y-1/x-(-3))3(x-(-3) (3(x-(-3) is the common denominator

This equals -8x-24=3y-3, add three to both sides which equals -8x-21=y.

The other answers are written in slope y-intercept form and general form.

*Note: x-(-3) can be written as x+3

Answer:

19.95x+9.95y= Total cost

Step-by-step explanation:

Answer:

Work shown below!

Step-by-step explanation:

White bead = [tex]\frac{5}{15} =\frac{1}{3}[/tex]

Answer:

a 33.3333333% chance

Step-by-step explanation:

we do 7+3+5= 15 (the denominator)

and so the amount of white beads in total is 5/15

5÷15+100= 33.333333333 and so on percent

Answer:

The sale price is $763.20

The price for club members is $610.56

The current selling price is $763.20, and the cost to members with an additional  10% reduced rate is $686.88.

A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."

Given, a computer store buys a computer system at a cost of ​$572.40.

And the selling price was first at $954​, but then the store advertised a 20% markdown on the system.

To find the current sale price:

Current sales price;

use percentage formula,

= $954 - (20% × $954)

= $954 - (0.2 × $954)

= $954 - $190.80

= $763.20

To find the cost to club members at 10% additional reduced price:

use percentage formula,

= $763.20 - (10% × $763.20)

= $763.20 - (0.1 × $763.20)

= $763.20 - $76.32

= $686.88

Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.

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Answer:

the value of x is 10

Step-by-step explanation:

The new length is 35+10=45 and the new width is 18+10=28.

Area of rectangle is length times of breadth.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x2=1260

x2+53x+630-1260=0

x2+53x-630

Now use the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

Hence the new length is 35+10=45 and the new width is 18+10=28.

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Answer:

is it multiple choice?

Answer:

Step-by-step explanation:

Slope is the difference in y values over the difference in x values

another way to look at it is [tex]\frac{rise}{run}[/tex]

If the slope is 0.28, that means that

[tex]rise = 0.28(run)[/tex]

We're told that the section rises by 1 unit

[tex]1 = 0.28(run)\\[/tex]

[tex]run = \frac{1}{0.28} = 3.571428571 = 3.57[/tex]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Answer:A rule for a function can be written by analyzing a graph. Using slope-intercept form, standard form, and point-slope form, functions can be written from a given graph.

To write a function in slope-intercept form given a graph, determine the slope and y-intercept of the graph and then substitute these values into the formula y = mx + b. If it is not possible to determine the y-intercept from the graph, determine a different point, substitute it into the equation and solve for b.

Example Find the function rule for the graph using the slope-intercept form.Step 1. Choose any two points to find slope. (-3, 1) & (3, -3) Find the value of the y-intercept.Step 3. Substitute the m and b values into y = mx + b to create the function rule.

Step-by-step explanation:

Answer:

the constant of proportionality is the ratio between two directly proportional quantities.

b. k=y/x or y = k*1/x

Answer:

nothing

Step-by-step explanation:

a product of 2 positive numbers always shows a positive value if we add them

Answer:

5:3

Step-by-step explanation:

this is because 15:10 can be divided by 5 on each side

Answer:

2:3

Step-by-step explanation:

I hope this helps!

Answer:

y > 4

Step-by-step explanation:

if you are doing 2y-6 >2, firstly move the constant to the right to get 2y > 2+6. Then calculate the sides, you get 2y > 8. Divide both by 2 and get y > 4

Answer:

-3y>9= y<-3

2y-6>2=y>4

Answer:

1/2/3/4/5

14/28/42/56/70

Step-by-step explanation:

divide the 42 gallons by 3 (since 3 seconds for 42 gallons) to find the rate of change. the answer is 14. then just do the number times 14 all the way. and yes this is proportional

Answer: -1,6 maybe

Step-by-step explanation:

Answer:

12-9=3

Step-by-step explanation:

Answer:

27

Hope this helps you out!

Answer:

C on Edge

Step-by-step explanation:

Edge2020

Answer:

C

Step-by-step explanation:

right on edge, hope this helps

Answer:

68-13=13 and 68-55 = 13

Step-by-step explanation:

Answer:

68-13=55 or 68-55=13

Step-by-step explanation:

is something like this what u mean

Answer:

30

Step-by-step explanation:

= -1/4 + 17 + (4/5)+ 1/4 + 13 + (-4/5)  <-- Cancel out 1/4 to -1/4 and 4/5 to -4/5

= 17 + 13

= 30

Answer:

x=8

Step-by-step explanation:

Each of the angles in a rectangle equal 90, so you would set 10x+10 equal to 90.

10x+10=90

10x=80

x=8

Answer:

we dont have paper

Step-by-step explanation:

Answer:

they both have the same angles

Step-by-step explanation:

Answer:

Step-by-step explanation:

17-13=4 and 21-17=4 and 25-21=4  so d=4

[tex]t_n=t_1+d(n-1)\\\\t_1=13\\d=4\\\\t_n=13+4(n-1)\\\\t_n=13+4n-4\\\\\underline{t_n=4n+9}[/tex]

[tex]t_{40}=4\cdot40+9=160+9=169[/tex]

Answer:

green line: y = 1x + 6

blue line: y = 1x + 3

Step-by-step explanation:

I did give an explanation her but someone deleted it. :(

Answer:

(-8) + (-8) + (-8) + (-8)

Step-by-step explanation:

Since Yan is descending ; we represent his movement as being negative.

Number of rungs descended before stopping = 4

Number of stops = 8

Given that no extra steps was taken ;

Number of ladder rungs descended :

4 rungs per stop for 8 stops

- 4 * 8 = - 32 rungs

Another way to write the product :

Number of stops added in number of rungs descended :

(-8) + (-8) + (-8) + (-8)

Step-by-step explanation:

the dividend divided by the divisor equals the quotient

The dividend is [tex]5\frac{1}{6}[/tex] and the divisor is [tex]2\frac{5}{12}[/tex] and the quotient is [tex]2\frac{4}{29}[/tex]. Therefore, option A is the correct answer.

The given equation is [tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex].

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

[tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex]

⇒ 31/6 ÷ 29/12 = 62/29

⇒ 31/6 × 12/29 = 62/29

⇒ 62/29 = 62/29

Here, the dividend = [tex]5\frac{1}{6}[/tex] and the divisor = [tex]2\frac{5}{12}[/tex] and the quotient = [tex]2\frac{4}{29}[/tex]

Therefore, option A is the correct answer.

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Answer:

12 years

Step-by-step explanation:

Given that Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years.

Assuming that they purchase new cars together after n years.

So, n must a multiple of 4 as well as multiple 6, i.e the number n is the lowest multiple (LCM) of 4 and 6.

As LCM od 4 and 6 is 12, so n=12.

Hence, after 12 years they will purchase news cars together.