You are offered a weekly salary of $200 plus 5% commission on all your sales
a. Identify the input and output variables in this situation

Answer:

slope is also known as gradient

here gradient =2/9

Answer:

Step-by-step explanation:

There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.

Inside diameter = outside diameter - 2 * thickness

outside diameter = 1 1/4 inches

thickness = 5/16

Inside diameter = 1 1/4 - 2 * 5/16

inside diameter = 5/4 - 10/16

Inside diameter = 5/4 - 5/8

Inside diameter = 10/8 - 5/8

Inside diameter = 5/8

Answer:

X=x=−5y/3

y=x=−5y/3

Step-by-step explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3

Answer:

x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x = [tex]\frac{5}{7}[/tex]

Substitute this value into (1) and evaluate for y

[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )

y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]

Answer:

-24 degrees F

Step-by-step explanation:

12+7+5

if the temperature kept on dropping, then you would have just added them all up.

We need to find the yards of ribbon that Elsa bought with her debit card.

The amount of ribbon that Elsa bought was 31 yards.

Initial amount which is present on the card is [tex]\$15[/tex]

Amount left after spending is [tex]\$12.83[/tex]

Amount spent on ribbon is [tex]15-12.3=\$2.17[/tex]

Converting to cents

[tex]2.17\times 100=217\ \text{cents}[/tex]

Cost of one yard of ribbon is [tex]7\ \text{cents}[/tex]

[tex]1\ \text{yd}=7\ \text{cents}\\\Rightarrow 1\ \text{cent}=\dfrac{1}{7}\ \text{yd}\\\Rightarrow 217\ \text{cents}=\dfrac{217}{7}=31\ \text{yd}[/tex]

The yards of ribbon that Elsa bought is [tex]31\ \text{yards}[/tex].

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Answer:

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

Answer:

3

Step-by-step explanation:

2

Answer:

8x+11=14x_1

14x_8x=11+1

6x=12

x=12/6

x=2

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given, K is the midpoint of JL. So, JK = KL.

________

JL = JK + KL (given that K is the midpoint of JL)

JL = (8x + 11) + (14x - 1)

________

[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]

[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]

Combine 8x and 14x to get 22x.

[tex] \sf \: 22x+11-1 [/tex]

Subtract 1 from 11 to get 10.

[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]

________

Also given that, JK = KL.

So, (8x + 11) = (14x - 1)

⇨ (8x + 11) = (14x - 1)

⇨ 8x + 11 = 14x - 1

⇨ 11 + 1 = 14x - 8x

⇨ 12 = 6x

⇨ x = 12 / 6

⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]

________

Now, value of JL will be,

JL = 22x + 10

Substitute the value of x.

JL = 22(2) + 10

JL = 44 + 10

[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]

⇨ So, the value of JL will be 50 units.

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

Answer:

hahahaha

Step-by-step explanation:

lol

lol

lol

lol

lol

okay

Answer:

Solution:

When X=2

f(2)=1/2

= 1/2

When X= 1

f^-1(1)= 2*1

=2

When X=2

f^-1(2)=2*2

= 4

Step-by-step explanation:

I don't know if these are correct and if that last question is f^-1(2) or not.

Answer:

320  

Step-by-step explanation:

hope this helps :)

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

[tex]\displaystyle y = -x^2 + 2x + 1[/tex]

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]

To determine the y-coordinate, evaluate the function at x = 1:

[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

Answer:

I know the first one is 6, since there's 6 sides

The second one should be Plane BDHF, since those two are exactly the same

Don't know the third one

The fourth should be segments AC, EG, and FH since they're all the same

Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

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Answer:

50 pcs

Step-by-step explanation:

say

1000 pcs / $20

so 50 pcs / $

then

$10 * 50 pcs / $ = 500 pcs

The coordinates of endpoint V is (7, -27) if one endpoint is U(3,5) and the midpoint of UV is (5, -11)

Midpoint of a line is a point that divides any line into two equal parts.

The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as:

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

Given the following

midpoint of UV = (5, -11)

U = (3, 5)

Get the other coordinate x2 and y2

Based on the formula above:

[tex]X = \frac{x_1+x_2}{2}\\5=\frac{3+x_2}{2}\\10 = 3 + x_2\\x_2 = 10-3\\x_2 = 7[/tex]

Get the other coordinate x2

[tex]Y = \frac{y_1+y_2}{2}\\-11=\frac{5+y_2}{2}\\-22 = 5 + y_2\\y_2 = -22-5\\y_2 = -27[/tex]

This shows that the coordinates of endpoint V is (7, -27)

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Hi! I'm happy to help!

To solve this, we first have to understand the terms and the way they arrange the equation.

First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)

We will write this as:

_______-_______= ,because difference means subtraction.

For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.

3n-______=

Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:

3n-4=

Now, we see what is shown after the "is".

We just have -19, so we can insert that here:

3n-4=-19

Now, let's solve (not sure if I need to):

To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:

3n=-15

From here, we need to get rid of the 3 next to the n by dividing both sides by 3:

n=-5

So, we write it as 3n-4=-19, and n=-5.

I hope this was helpful, keep learning! :D

Answer:

2/7 divided by 3/4

So we can't divide fractions but what we can do is multiply them.

The First step is to do KCF (Keep, Change, Flip)

So It will be 2/7 TIMES 4/3. Keep 2/7 change the division sign to multiplication sign and flip 3/4 to 4/3. Now Multiply normally.

I hope this helps you find the correct answer <3

Answer:

Step-by-step explanation:

Let the other end point be (a,b)

Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)

So

(0,-1) = ( (-1+a)/2 , (0+b)/2)

So we have

0 = (-1 +a) /2

0 = -1 + a

a =1

and

-1 = (0+b)/2

-2 = 0+b

b = -2

So the other end point is ( 1, -2)

Answer:

d. 9 4/5

Step-by-step explanation:

5+4=9

1/5+ 3/5=4/5

So then you'll get 9 4/5

Answer:

False.

Step-by-step explanation:

Using the property of distribution, (a + b)² will be a² + b², never a² + b.

No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.

For the given two integers a and b,

The given expression

(a + b)² = a² + b (false statement)

The correct statement is-

(a + b)² = (a + b)(a + b)

(a + b)² = a² + b² +  2ab

Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.

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Answer:

67

Step-by-step explanation:

If you are looking for x, or blank in this case, you add 67 to -67.

this equals 0.

-67+67=0.

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

Answer:

d=14

Step-by-step explanation:

1d/6+2/3=1(d-2)/4

Find the L.C.M.

d+4/6=d-2/4

Cross multiply

4d+16=6d-12

Collect like terms

16+12=6d-4d

28=2d

Divide through by the coefficient of d

2d/2=28/2

d=14

Answer:

d = 20

Step-by-step explanation:

1/6*d + 2/3 = 1/4*(d - 2) do the multiplying

d/6 + 2/3 = (d-2)/4 now add fraction

d/6 + 2/3 to add these up we need to multiply 2/3 with 1/2 and it will be 4/6

d/6 + 4/6 = (d+4)/6

(d+4)/6 = (d-2)/4 cross multiply

4d + 16 = 6d - 24 add like terms

16 + 24 = 6d - 4d

40 = 2d divide both sides by 2

20 = d

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

Answer:

[tex]6 \frac{350}{1000}[/tex] Is the answer, if you want it simplified then, [tex]6 \frac{7}{20}[/tex]

Step-by-step explanation:

Answer:

[tex]{ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}[/tex]

Step-by-step explanation:

Hope you got the idea in previous answer.

[tex]6.350 = \frac{6350}{1000} [/tex]

reduce the fraction by 10:

[tex] = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} [/tex]

then reduce it by 5:

[tex] = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} [/tex]

in mixed fraction mode:

[tex] = 6 \frac{7}{20} [/tex]

I dunno what your question ask