Mr. Chen drives 26 miles to work every day. He drives the same distance to get back home. How many miles does he drive during a 5-day work week

Answer:

y = -1x -2

Step-by-step explanation:

Just doing it in my head so im only like 90% sure edit: okay just checked my work and ya its y= -1x -2 :)

In this problem, we will be using the point-slope formula.

y - y₁ = m(x - x₁)

The point we are given, (-5, -3), represents (x₁, y₁) in the formula

and our slope which in this case is -1 represents our m.

Now let's plug all our information into the point-slope formula.

So we have y + 3 = -1(x + 5).

Remember that minus a negative means plus a positive

which is why I changed y - (-3) to y + 3 and the same for the x + 5.

So we have y + 3 = -1(x + 5).

Now distribute the -1 to get y + 3 = -x - 5

Now move the 3 to the right side by subtracting 3 to get y = -x - 8.

Now add x to both sides to get x + y = -8.

So the equation of this line in standard form is x + y = -8.

Answer:

5190

Step-by-step explanation:

2.7% of 6000 is 162.

There is a 5 year span between 2009 and 2014.

So just subtract 162 from 6000 5 times, or multiply 162 by 5, then subtract that from 6000.

Hope It Helps!

Answer:

2hours

Step-by-step explanation:

Given data

Company A

charges a fixed amount of $10 plus $8 per hour

let the number of hours be x

and the total be y

y= 10+8x----------------1

Company B

charges a fixed amount of $6 plus $10 per hour for a one-person kayak.

let the number of hours be x

and the total be y

y= 6+10x----------------2

Equate 1 and 2 above

10+8x= 6+10x

collcet like terms

10-6= 10x-8x

4= 2x

x= 2hours

Hence after 2 hours the charges will be the same

Answer:

c hopefully this helps you

Answer:

D. CPCTC

Step-by-step explanation:

If the wholes of both triangles are congruent, then their separate parts must be congruent as well. Therefore, Congruent Parts of Congruent Triangles are Congruent.

Answer:

y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.

Answer:

m=13/7

Step-by-step explanation:

the equation for slope (m) is (y2-y1)/(x2-x1)

the given points are (0,5) and (-7,-8)

we can label them:

x1=0

y1=5

x2=-7

y2=-8

now substitute into the equation

m=(-8-5)/(-7-0)

m=-13/-7

m=13/7

the slope is 13/7

hope this helps!

Answer:

15,211 feet

Step-by-step explanation:

According to the question,  given data are as follows:

Airplane altitude = 14,690 feet above

Submarine depth = 521 feet below

So, let the difference between these two elevation be d,

So, we can calculate difference by using following formula:

Difference = Airplane altitude + Submarine depth

By putting the value, we get

Difference = 14,690 + 521

= 15,211 feet

Answer:

b

Step-by-step explanation:

because the 1 is negative

Answer:45

Step-by-step explanation:5(7)+5(2)=35+10=45.This is an example of expansion or distributive expression

Answer: 45 = 45

god bless have a nice day love u

Step-by-step explanation:

5(7+2)= 45

5(7)+5(2)= 45

so its 45

but i put 45 = 45 same thing i think

Answer:

it's answer is package 1 $ 200 for 5 months

hope it helps you

Answer:

I think no A

if wrong correct me plsssssss

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

Answer:

1. x=1

2. y=5

3. m=-6

4. z=3

Step-by-step explanation:

Answer:

I don't know because i am doing math along the way to solve answer.

Step-by-step explanation:

4x+8=2x+10

4x-2x+8=10

2x=10-8

2x=2  

x=1 ANSWER FOR 1

2.)

Same thing as 1.

9y-3=6y+12

3y=15

Divide both by 3 and you get

y=5 Answer For 2

________________________

3.)

8m+4=4m-20

4m=-24

m=-6 Answer For 3

_________________________

4.)

11z-14=5z+4

6z=18

z=3 Answer for 4

Answer:

Step-by-step explanation:

Answer:

Each friend gets 3 1/4 apple

Step-by-step explanation:

13 divided by 4 simplified is 12 divided by 4 is 3 and 1 divided by 4 is .25 or 1/4

Answer:

3.25

Step-by-step explanation:

Answer:

x intercept is (3,0)

y intercept is (0,-10)

Answer:

The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]

Step-by-step explanation:

We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

The midpoint of line segment can be found using formula:

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We have [tex]x_1=14, y_1=-8, x_2=12, y_2=-1[/tex]

Putting values and finding midpoint

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})[/tex]

So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]

                                                    Question 1

Given the sequence

31, 61, 91, 121,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

61 - 31 = 30, 91 - 61 = 30, 121 - 91 = 30

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

d = 30

As the first term of the sequence is:

a₁ = 31

now substituting a₁ = 31 and d = 30 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=30\left(n-1\right)+31[/tex]

[tex]a_n=30n+1[/tex]

Now, putting n = 36 to determine the 36th term

[tex]a_n=30n+1[/tex]

[tex]a_{36}=30\left(36\right)+1[/tex]

[tex]a_{36}=1080+1[/tex]

[tex]a_{36}=1081[/tex]

Thus,  the 36th term is:

[tex]a_{36}=1081[/tex]

                                               Question 2

Given the sequence

-34, -44, -54, -64, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-44-\left(-34\right)=-10,\:\quad \:-54-\left(-44\right)=-10,\:\quad \:-64-\left(-54\right)=-10[/tex]

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

[tex]d=-10[/tex]

As the first term of the sequence is:

a₁ = -34

now substituting a₁ = -34 and d = -10 in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=-10\left(n-1\right)-34[/tex]

[tex]a_n=-10n-24[/tex]

Now, putting n = 26 to determine the 36th term

[tex]a_n=-10n-24[/tex]

[tex]a_{26}=-10\left(26\right)-24[/tex]

[tex]a_{26}=-260-24[/tex]

[tex]a_{26}=-284[/tex]

Thus, the 26th term is:

[tex]a_{26}=-284[/tex]

use distributive property

0.5 x -10 = -5

0.5 x k = 0.5k

0.5(-10 + k) = 0.5k -5

Answer: 2t - 20

Step-by-step explanation:

Jojo spends t minutes doing homework.

He then spends 20 minutes less than twice that amount of time doing homework.

For homework therefore, let us breakdown the time spent:

When doing homework, Jojo therefore spends:

= 2t - 20

Answer:

A. 6x+12x+90=180

Step-by-step explanation:

to find x they must all add up to 180 degrees

Answer:

9

Step-by-step explanation:

I multiply 52 and 83 and get 4316. 4892 - 4316 is 576. 576 divided by 64 is 9!

Answer: they sold 35 skis and 48 snowboard

Step-by-step explanation:

52 x 35 = 1820

64 x 48 = 3072

1820 + 3072 = 4892

Answer:

-11

Step-by-step explanation:

7-10-8 = -11

Answer:

-11

Step-by-step explanation:

7 - 10 = - 3

-3 + 8 = -11

hope this helps

Answer:

Expanded Expression: 1s- 0.59s

Simplified Expression : 0.41 s

Discounted Price=  $ 2.46

Step-by-step explanation:

Directions: Write two markup or markdown expressions for each problem below. Then substitute the given value for the variable and evaluate the expression.

The Discounted Price is found out after deducting the discount from the original price.

Let 100 be the sale price then the discount is 59 and the discounted price would be 100- 59= $41

Sale Price = $ s

Discount = 59% of $ s

Discounted Price = s- (100-59)/100*( $s) = 1s- 0.59s   = 0.41 s

Expanded Expression                             Simplified Expression

 1s- 0.59s                                                                      0.41 s

Find the sale price of the Smelly Cat litter, when the regular price was $6 per bag.

Sale Price = $ 6

Discount = 59% of $ 6

Discount= (59/100) $6= $ 3.54

Discounted Price= Sale Price - Discount= $6 - $ 3.54= $ 2.46

Answer:

2. kaiden (mine lol >:) ) and least would be micah

Answer:

c

Step-by-step explanation:

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

Answer:

12

Step-by-step explanation:

Answer:

z=12

Step-by-step explanation:

Multiply both sides by 2