Sophie earns a weekly retainer of $355 plus a commission of 10% on sales. What are Sophie’s total earnings for each week if she made the following sale: $760

Answer:

z = -70

Explanation:

-12.2z-13.4z=1792

-25.6z=1792

Divide both sides by (-25.6)

z = -70

       For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points (one of which is the y-intercept), (4.5,-4.25), and (0, 2.5), from which we can find the slope and later the equation of the line.

Finding the Slope    

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                        =  (2.5 - (- 4.25)) ÷ (0 - 4.5)

                                        =  −1.5

 Finding the Equation

Now that we know the slope and the y-intercept, we can write the equation of the line in the point-slope form (y = mx + b)

                                            y = −1.5x + 2.5

Checking my answer:

I used Desmos to graph the line I got and the points. Since the line passes through the points then the line is correct.

Answer:

2x - 20 + 7 = x - 1

2x - 13 = x-1

2x = x+12

x = 12

Answer:

a=54 b=57 AB=246. This is the best answer ever!!!

Answer: 16lbs

Step-by-step explanation: CCC=Chocolate Chip Cookie; WCC=White Chocolate Cookie.

Set up a table showing the pricing ($/lb) and pounds (lbs) for both cookies. The total value of the WCC is $23.8 ($5.95/lb x 4 lbs). The value of the CCC is 6.95x, where x is the lbs CCC.

CCC WCC

6.95 5.95 $/lb

x 4 lbs

6.95x 23.8 $ Total value [$/lb * lbs]

We want x lbs of CCC cookies such that the total value of cookies divided by the total number of lbs is equal to $6.75/lb. That can be written as:

(6.95x + 5.95*4)/(x+4) = 6.75 [Total value of cookies divided by total weight equals $6.75]

(6.95x + 23.8)/(x+4) = 6.75

6.95x + 23.8 =6.75x + 27

0.2x = 3.2

x = 16 lbs

We need 16 lbs of CCC added to the 4 lbs of WCC for a total weight of 20 lbs and a price of $6.75/lb.

Answer:

4

Step-by-step explanation:

Answer: 3:5

Step-by-step explanation:

So, taking the ratio of the time taken by Henry to the time taken by Gavin is: (36 mins/ 60 mins) = (36/60) = 3:5 [Taking minutes as the common unit for both of the cases.] Thus the ratio is 3:5 in simplest form.

Answer:

(4, -4) = (x, y) = A

Step-by-step explanation:

 5x + 2y = 12

- (5x - 2y = 28)

4y = -16

y = -4

5x + 2(-4) = 12

5x - 8 = 12

5x = 20

x = 4

Answer:

95 apples

Step-by-step explanation:

given:

John has 13 boxes of apples

each apples can have 10 apples

6 box= full -10 apples

7 box= half full-10÷2=5 apples

•°• John has= (6×10) + (7×5)

= 60+35

=95 apples

The sum of the two numbers = -12.6

The two negative addends that make the statement "The sum of two numbers is -12.6" true are -8.6 and -4

Let x represent the first negative number

Let y represent the second negative number

x   +  y   =   -12.6

To make the above equation to be true, assume a value f x that is negative but greater than -12.6

Let x = -8.6

Substitute x = -8.6 into the equation x + y = -12.6

-8.6  +  y   =  -12.6

Add 8.6 to both sides of the equation

-8.6  +  8.6  +  y   =  -12.6  +  8.6

y   =  -4

As a proof:

-8.6  -  4   =   -12.6

The two negative addends that make the statement "The sum of two numbers is -12.6" true are -8.6 and -4

Learn more here: https://brainly.com/question/2326415

Answer:

Approximately [tex]50\; \rm m \cdot s^{-2}[/tex], assuming that air resistance is negligible and that the rock was released with zero initial velocity.

Step-by-step explanation:

Let [tex]g[/tex] denote the gravitational acceleration on this planet.

Let [tex]x[/tex] denote the displacement of this rock during this fall. Let [tex]t[/tex] denote the duration of this fall. Assume that the rock was released with an initial velocity [tex]v_{0} = 0\; \rm m \cdot s^{-1}[/tex].

Assume that the air resistance is negligible (such that gravity is the only force on this rock). The acceleration [tex]a[/tex] of the rock during the fall would be constantly equal to the gravitational acceleration [tex]g[/tex].  

Since the acceleration of the rock during the fall was constantly [tex]a = g[/tex], the following SUVAT equation would apply:

[tex]\displaystyle x = \frac{1}{2}\, a \, t^{2} + v_{0}\, t[/tex].

Rearrange this equation to find an expression for acceleration [tex]a[/tex]:

[tex]\begin{aligned}a &= \frac{x - v_{0}\, t}{t^{2} / 2}\end{aligned}[/tex].

Convert the height and duration of this fall to standard units:

[tex]\begin{aligned}h &= 89\; \rm km \times \frac{10^{3}\; \rm m}{1\; \rm km} \\ &= 8.9\times 10^{4}\; \rm m\end{aligned}[/tex].

[tex]\begin{aligned}t &= 0.99\; \rm min \times \frac{60\; \rm s}{1\; \rm min} \\ &= 59.4\; \rm s\end{aligned}[/tex].

Substitute in the values to find the value of acceleration [tex]a[/tex]:

[tex]\begin{aligned}a &= \frac{x - v_{0}\, t}{t^{2} / 2} \\ &= \frac{89000\; \rm m}{(59.4\; \rm s)^{2} / 2} && (\text{Note that $v_{0} = 0\; \rm m\cdot s^{-1}$.}) \\ &\approx 50\; \rm m\cdot s^{-2} \end{aligned}[/tex].

By the assumptions above, the acceleration of this rock during this fall would be equal to the gravitational acceleration on this planet. Thus, [tex]g \approx 50\; \rm m\cdot s^{-2}[/tex] on this planet.

Answer:

F(x)=IxI

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

180 in 40 seconds ; 180/40 = 4.5

For 30 seconds, divide by 2.

Answer:

60

Step-by-step explanation:

Answer:

13.

Step-by-step explanation:

So, if you need to feed 52 people and each pizza feeds 4 people the equation would be: # of people/ 4 = number of pizzas you need.

Answer:

4.8 cm

Step-by-step explanation:

To find the answer, lets use the information we have. We need to find the width, or w. We know that is 2.5 times smaller than its length, and that the length is 12. So lets make an equation to solve:

12/2.5=w

We did this because we know that the length is 2.5 times bigger than the width, so to find the width we need to go 2.5 times smaller than the length, and the length is 12.

Now solve:

4.8=w

So the width of the rectangle is 4.8 centimeters.

Answer:

width = 4.8 cm

Step-by-step explanation:

let width be w then length = 2.5w

Given length = 12 cm , then

2.5w = 12 ( divide both sides by 2.5 )

w = 4.8

That is width = 4.8 cm

Answer:

Where is your attachment ?

Step-by-step explanation:

calculate the difference in level of water : (68.1-52.5)mL = 15.6mL ( volume)

mass of the rock = 27.69g

density = mass/volume

=> (ρ) = 27.69/15.6 = 1.775g/mL or 1.775g/cm³(1cm³=1mL).

hope this helps you.

Answer:

5/12

Step-by-step explanation:

2/3 +1/4 = 8/12 + 3/12= 11/12

11/12 - 1/2 = 11/12 - 6/12 = 5/12 less

Answer:

$2.93

Step-by-step explanation:

67.50/23=2.9347826087 sorry had to use 20 characters in the explanation

Answer:

$2.93

Step-by-step explanation:

$67.50 for 23 gallons

$? for 1 gallon

$67.50 ÷ 23 = $2.93478

Rounded to the nearest cent: $2.93

Answer:

2 in each car. Simple.

Step-by-step explanation:

Answer: it’s two cause 20 divided by 10 is 2.

Answer:

14 red crayons

Step-by-step explanation:

since we already know the ratios of the crayons we are going to use ratio and proportion to solve our question B:R is 32:28 and they are directly proportional meaning we can scale the quantities by multiplying.32:28 and 16:R , r is the unknown quantity ,then we cross multiply  the 2 ratios to get 32R= 448, then we divide by32 both sides so we can remain with the value of R which is 14

Answer:

Read explanation

Step-by-step explanation:

First you put a point on (0,5).  Then you perform rise/run which is the slope.  The slope is 2.  So from (0,5) you go up 2 and to the right one and make another point.  You then use a ruler and draw a line connecting them and put arrows at the end.  

2+2x3+6=18

That happens nobody answers your question for a period of time, and so it is taken down and you get the points back

Answer:

The answer is 14

Step-by-step explanation:

Also it shows that when no one answers a question of yours.

Answer:its 6 because 3 + 6 is 9 + 6 is 15

Step-by-step explanation: