In addition to his base salary, Ron earns a commission. Last week he sold $14000 worth of clothing and brought home an extra $840 in commission. What is his rate of commission? If his base salary is $500, how much money did he earn last week?

Answer:

x- intercept : How many sandwichs he bought

y-intercept : How many drinks he bought

Answer:

7×8

Step-by-step explanation:

17×8=136

10×8=80

136-80=56

find the multiplication that = to 56 and that is 7×8.

Answer:

1250 students go to Excellent Elementary.

Step-by-step explanation:

Given that 4% of the students at Excellent Elementary are vegetarians, you can subtract 4% from 100% to find the percentage of students that are non-vegetarians:

100%-4%=96%

Now, since you know that 96% of the students are non-vegetarians and that they are 1200, you can use a rule of three to find the amount that represents 100% which would be the total amount of students that go to Excellent Elementary:

96%    →    1200

100%   →       x

x=(100*1200)/96

x=1250

According to this, the answer is that 1250 students go to Excellent Elementary.

Answer:

36 days

Step-by-step explanation:

Total distance driven = 4 1/2 miles = 9/2 miles

Months of June and July ;

Miles driven per day = 1/8

Number of days Parker went driving :

Total miles driven / miles driven per day

9/2 miles ÷ 1/8 miles

9 /2 * 8 /1

(9 * 8) / (2 * 1)

72 / 2

= 36 days

Hence, Parker drove for 36 days

Answer:

(3,8)

Step-by-step explanation:

First, you need to graph a triangle using the points given.

Then reflect across y = x

R is (3,0) which when reflected across y = x is (0,3)

S is (3,3) which when reflected across y = x is (3,3)

R is (4,0) which when reflected across y = x is (0,4)

Answer:

140.4488

Step-by-step explanation:

Answer:419% of 33.52 = 140.4488

Step-by-step explanation: If you multiply .419 by 33.52 you get 140.4488

Answer:

x= 15

y= 21

Step-by-step explanation:

81+6x-11+x+5= 180

7 x + 75= 180

7x= 105

x=15

4y-18+y+14+6×15-11=180

5 y + 75= 180

5y= 105

y= 21

9514 1404 393

Answer:

  g(x) = (5x +26)/(x+5)

Step-by-step explanation:

To translate the function right h units and up k units, the transformation is ...

  f(x -h) +k

You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

  [tex]f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}[/tex]

The translated function is ...

  g(x) = (5x +26)/(x+5)

__

The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.

Answer:

G n - 29 < 53

Step-by-step explanation:

Replace n with 81 so it becomes

81 - 29 < 53

If you solve, 81 - 29 would be 52

Then you have

52 < 53

This is true since 53 is greater than 52

9514 1404 393

Answer:

  970

Step-by-step explanation:

It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...

  (5 +2√6)³ +1/(5 +2√6)³ = 970

_____

The cube of 'a' is ...

  (5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³

  = 125 +3·50√6 +3·120 +48√6

  a³ = 485 +198√6

The reciprocal of this is ...

  b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1

  b³ = 485 -198√6

Then the sum is ...

  a³ +b³ = (485 +198√6) +(485 -198√6) = 970

Answer:

4x^8

Step-by-step explanation:

hope this helps

Answer:

im not completley sure but i think its B

Step-by-step explanation:

Answer:

I believe this is how you do it

Step-by-step explanation:

csc∅tan∅

(1/sin∅)(sin∅/cos∅)

(sin∅)/(sin∅cos∅)

1/(cos∅)

sec∅

csc²∅tan²∅sin∅

1/(sin²∅) * tan²∅ * sin∅

tan²∅/sin²∅ * sin∅

tan²∅/sin∅

Answer:

To eliminate a variable in the system, we will have to subtract both expressions from each other

Step-by-step explanation:

Given the equations

5x+8y=-1

5x -8y=-7

To eliminate a variable in the system, we will have to subtract both expressions from each other

5x - 5x +8y-(-8y) = 1-(-7)

0 + 16y = 8

16y = 8

You can see that the variable x has been eliminated by simply subtracting both equations

y = 8/16

y = 1/2

Answer:

here!

Step-by-step explanation:

so graphing lines are pretty hard but this one is fairly simple. here the slope formula format is y=mx+b

m being the slope

and b being the y-intercept

so as you can see your equation has no slope meaning your line is just going to be straight

and then if you take a look to find the only other thing your equation has in it is a 6 as the y-intercept meaning in order to graph this find where 6 is on the y-axis (the vertical line on the side) and draw a line going horizontal and put a dot or a point on (0,6) to mark that you have found the y-intercept and that this is the only known point on your line graph so far with the information given. i hope this makes sense, and have a great day!

Step-by-step explanation:

I= prt

I= 30000×8%×2

I= 4800

total = 30000+4800

=34800

Answer:

4/12 probability

Step-by-step explanation:

there is 4/12 chance she will roll this

Answer:

4.8

Step-by-step explanation:

We are given the hypotunese or the slanted side which is the ladder length which is 14.

We are given an angle at the bottom which is 70 degrees.

We are asked to find the horizontal side which is adjacent to the angle at the bottom.

Since we have a hypotunese and a side adjacent to the angle, we are going to use the function cosine.

we use this formula

[tex] \cos(theta) = \frac{adj}{hypo} [/tex]

[tex] \cos(70) = \frac{x}{14} [/tex]

x=4.8

tan = opp/adj

tan 20 = opp/10

x = 10(tan 20)

x = 3.63....

x = 3.6 cm

Answer:

b^12

Step-by-step explanation:

Multiply b^10 by b^2 by adding the exponents.

b^12

Answer:

After 15 days they'll both have $10

Explanation:

100 (Xavier's total)- 6x (6 dollars every day) = 160 (Zach's total amount) -10x (10 dollars every day)

[tex]100-6x=160-10x\\[/tex]

+10x on both sides

[tex]100+4x=160[/tex]

-100 on both sides

[tex]4x=60[/tex]

/4 on both sides

[tex]x=15[/tex]

John has more.

John has $11 while Jan has $10

1.

60² + 30² = 4500²

Opposite corner = 67.08 ft.

//

2.

6² + 8² = 100²

The wire must be 10 ft.

//

3.

7² + 14² = 245²

The rope is 15.65 ft.

//

4.

180² + 300² = 122400²

He ran 349.85 ft.

//

I'm not too sure about question 3.

9514 1404 393

Answer:

Step-by-step explanation:

1. The problem preamble gives you the two ways to name the vector. You can use either its name, or the two end points. (The starting point is named first, as it is with a ray.)

The vector shown can be referred to by the names ...

  u  or  AB

__

2. The right triangle has legs 4 and 5, so the length is ...

  length = √(4² +5²) = √41

  length ≈ 6.4

__

3. Typically, you're given the leg lengths. The ratio of these is the tangent of the angle. The angle can be found using the inverse tangent function.

__

4. The tangent of the angle is the slope of the vector:

  tan(A) = 5/4

  A = arctan(5/4) ≈ 51°

__

5. The first letter named is the starting point of the vector. Vector MN starts at point M and ends at point N. Vector NM starts at N and ends at M. The directions of the two vectors are opposites.

__

6. A ray is like a vector of infinite length. The name of a ray includes a point on the ray. The name of a vector includes both end points. It is of finite length.

_____

Additional comment

A lot of math is invented to describe how things work in the real world. A vector is often used to represent velocity or force and other things that can be described by a magnitude and direction in the real world. A ray is more often used in problems in geometry, where that abstract concept serves a useful purpose.