Melissa earns a 2% commission on the first $750 of sales she makes each week. She earns a 3% commission on the amount of her sales that are greater than $750 each week. Melissa earned $37.50 in commissions last week.


Which equations correctly calculate how much money in dollars, x, Melissa made in sales last week?


Select all that apply.


0.02(750)+0.03(750−x)=37.5


0.03(x−750)=37.5−15


15+0.03x−22.5=37.5


0.02(750)+0.03(x−750)=37.5


15−0.03x+22.5=37.5


0.03(750−x)=37.5−15

Answers

Answer 1

The  equations that are correct are:

0.02(750) + 0.03(x - 750) = 37.5

0.03(750 - x) = 37.5 - 15

Given:

Melissa earns a 2% commission on the first $750 of sales.

She earns a 3% commission on greater than $750 each week.

1. Sales up to $750:

Melissa earns a 2% commission on the first $750 of sales.

=0.02(750)

= 15

2. Sales exceeding $750:

Melissa earns a 3% commission on the amount of sales that exceed $750.

0.03(x - 750) = 37.5 - 15

Combining both equations, we have:

0.02(750) + 0.03(x - 750) = 15 + 37.5 - 15

15 + 0.03x - 22.5 = 37.5

0.03x - 7.5 = 37.5

Adding 7.5 to both sides

0.03x = 45

Dividing both sides by 0.03

x = 1500

Therefore, the correct equations that calculate the amount of money Melissa made in sales last week are:

Equation 1: 0.02(750) + 0.03(x - 750) = 37.5

Equation 2: 0.03(750 - x) = 37.5 - 15

Learn more about Equation here:

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Related Questions

okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is ( ) units. the point (-7, ) lies kn this circle. I'm not sure how to find the answer.​

Answers

Answer:

A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.

Step-by-step explanation:

equation of circle is

(X-center_X)^2 + (y-center_Y)^2 = r^2

==> (x+3)^2 + (y-2)^2 = r^2

Now it passes 1,5 so

4^2+3^2 = 5^2

==> r = 5

when x = -7

y = -1 or 5

helppppp pleaseeeee im giving 15 for this ;^;

im in dire need for multiple questions. this is 2/5​

Answers

Answer:

C

Step-by-step explanation:

when it asks for the zeroes its asking for when the equation passes the x=0 and it passes x=0 at (0,-3) and (0,1) so the answer is c

hope this helps (:

What is the value of the expression 9+n/3-6 when n is 12?

Answers

-7 (9+12/3-6)=21/-3=-7

Answer:

7

9+12/3-6

12/3=4

9+4-6

9+4=13

13-6=(7)

Step-by-step explanation:

Joni sold 376 tickets for the school play. Student tickets cost $4 and adult tickets cost $7. Joni’s sales totaled $2080.

Which system of equations below will determine then number of adult tickets, a, and the number of student tickets, s, that Joni sold?

Answers

Answer:

(4s+7a) 376=2080

Step-by-step explanation:

(4s+7a) 376=2080

2080, I got this answer by (4s + 7a)376 and my answer came out to be 2,080

What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2

+1

Answers

Answer:

Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

in parallelogram ABCD, AB= x, BC= x+y, CD= y-x and AD= 15. solve for x and y

Answers

Answer:

I think 29

I don't know if it's right

combine these radicals -12√12-2√3

-50√3
-22√3
-26√3
-10√12​

Answers

Answer:

[tex] - 26 \sqrt{3} [/tex]

I'm sure about the answer.

Solve for y: y+6=5(x-4)

Answers

Answer:

Step-by-step explanation:

y+ 6= 5(x-4)

y + 6= 5x-20

   -6 .      -6

 ----------------

y= 5x-26

How do you write 133/50 as a percentage?

Answers

Answer:

266%

Step-by-step explanation:

133/50 =

2 33/50 =

266 %

Hope that helps!

Answer:

lol 266%

Step-by-step explanation:

hope this helps!

Solve for x. Enter your answer in interval
notation using grouping symbols.
x2 + x < 20

Answers

Answer:

x<18

Step-by-step explanation:

2+x<20

Answer:

(-5, 4)

Step-by-step explanation:

x^2 + x < 20 can be rewritten as a quadratic in standard form:  x^2 + x - 20 < 0.  Recognize that the graph of x^2 + x - 20 is that of a parabola that opens up.  Because the y-intercept (0, -20) is below the x-axis, we know for certain tht the graph intersects the x-axis in two places.  Our job is to determine the two horizontal intercepts, which in turn determine the solution set.

x^2 + x - 20 = 0 factors as follows:  (x + 5)(x - 4) = 0, whose roots are -5 and 4.

These two roots form 3 intervals:  (-infinity, -5), (-5, 4) and (4, infinity).   We now must identify on which intervals x^2 + x - 20 is less than 0 (that is, on which intervals the graph is below the x-axis).  Choose three test values for x:  the first could be -6 (which is in the set (-infinity, -5) ); x^2 + x - 20 is + there, and so the graph is above the x-axis and x^2 + x - 20 is positive.  Reject this.  

Next, test x = 0; x^2 + x - 20 is negative there, meaning that x^2 + x - 20 < 0 and that x^2 + x < 20.  Thus, the solution is (-5, 4).  It can be shown that x^2 + x - 20 is positive again for x-values within the interval (4, infinity).

Evaluating

Solve problem using substitution
a = 3b + 1
5b - 2a = 1

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

a=−13, b=−5
Hope this helps you !!!

Gaste el 60% de lo que no gasté: del resto perdí el 40% de lo que no perdí. De lo que me quedaba no ahorré 50% más de lo que ahorré. Si lo que ahorré es de S/. 70: ¿Cuánto tenia al principio?

Answers

Lil uzi vert lil uzi vert maybach maybach

Which of the following best represents the dependent quantities in the graph below?

A. 2, 20, 4, 40
B. 2, 4, 6, 8
C. 20, 40, 60, 80
D. 10, 20, 30, 40, 50

Answers

Answer:

C

Step-by-step explanation:

Dependent quantity = y-value

Find the perimeter of the triangle NET

Answers

There’s no photo for the triangle NET

Mr. Hamstra’s car holds 14/25 gallons of gas and averages 20 miles per gallon. About how far can Mr. Hamstra travel when his tank is 14 full?

Answers

to find the answer we first have to find the ratio... for each gallon, the car goes 20 miles:
1:20
now we just have to find how far the car will go for 14 gallons. the ratio would be:
14:x
the ratio is 14 times larger than the original. to find the answer simply multiply 14 by 20:
14:280

the answer is 280 miles

(29 points!!!)Enter the correct answer.
in the rectangle ABCD, BD =96. What is the length of ED?
Diagram not drawn to scale.
Numeric answer only Do NOT include units (degrees, inches, feet, etc).

Answers

Answer:

48

Step-by-step explanation:

Do 96/2=48

What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.

Answers

Correct method to factor this expression are:

Factor by grouping.

Factor out the GCF.

What is factorization?

A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.

The equation becomes:

= 4x² - 26x + 30

= 2 (2x² - 13x + 15)

= 2 (2x² - 10x - 3x + 15)

= 2 {2x (x - 5) - 3 (x - 5)}

= 2 (2x - 3) (x - 5)

Thus, the two methods are the best choices to factor this express are:

Factor by grouping.

Factor out the GCF.

To know more about factor refer to:

https://brainly.com/question/25829061

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please help ._. i’ll give brainliest-

Answers

Answer:

it equals .85 hope this helps!

Step-by-step explanation:

In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.

Answers

Answer: J = 20.1

Step-by-step explanation:

sin J = hypotenuse/opposite = 11/32

Sin J =11/32

J=sin-1(11/32)

J= 20.1055

y=x+5
4x+y=20
show work

Answers

Answer:

(3,8)

Step-by-step explanation:

Step-by-step explanation:

put value of y in equation 2

4x + (x + 5) =20

open the brackets

5x + 5 = 20

5x = 20 - 5

5x = 15

x = 15/3

x = 5

putting value of x in y we get

y = 10

GOOD LUCK FOR THE FUTURE! :)

20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.

Answers

Answer:

[tex] \frac{8\pi}{5}[/tex]

Step-by-step explanation:

Since this is a degree we going to use the arc length formula

[tex]2\pi \times( r)( \frac{x}{360)} [/tex]

where x is the central angle measure and r is the radius.

The radius is 6 and the central angle is 48 so let plug that in the formula

[tex]2\pi \times (6)( \frac{48}{360} )[/tex]

Multiply 2 pi by 6

[tex]12\pi \times ( \frac{48}{360} )[/tex]

[tex]12\pi \times \frac{4}{30} [/tex]

[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]

[tex] \frac{8\pi}{5} [/tex]

PLS HELP AND FAST!!! also it needs to be simplified!!

Answers

Answer:

I think it's B because the bigger numbers stay the same an u subtract the smaller numbers

A and C
(4^-3)/(4^-1)=4^3/41

A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?

Answers

Answer:

100%

Step-by-step explanation:

Let  p = percent of cashews in first mix

2p = lb. of cashews in first mix

30(.20) =  6 = lb. of cashews in second mix

32(.25) =  8 = lb. of cashews in the combined mix

So,

lb. of cashews in first mix +  lb. of cashews in second mix = lb. of cashews in the combined mix

2p + 6 = 8

2p = 2

p = 1 = 100%

Answer:

100%

Step-by-step explanation:

I solved it and it was correct lol

i need help
38 = 15 + n ​

Answers

Answer:

n=23

Step-by-step explanation:

38=15+n

step 1 subtract each side by 15

23=n

n is equal to 23

hope this helps :)

Answer:

n=23

Step-by-step explanation:

38-15=23 you gotta subtract

Solve

2/3 feet = _____ inches

Answers

Answer:

8 Inches

Step-by-step explanation:

multiply the length value by 4

NEED HELP WHAT IS THE SLOPE!!​

Answers

Answer:2/3

Step-by-step explanation:

Slope is 2/3

2/3 is the slope as slope can also be referred as gradient.

Write the equation in Point-Slope Form given the Slope is 5 and passes through the Point (-2, 10).

Answers

Answer:

y-10=5(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-10=5(x-(-2))

y-10=5(x+2)

Answer:

          y - 10 = 5(x + 2)

Step-by-step explanation:

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = 5

x₁ = -2

y₁ = 10

Therefore the equation:

                                 y - 10 = 5(x + 2)

I WILL GIBE BRAINLEST


Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table. Red Pencils Green Pencils 2 6 4 12 6 18 8 24

Answers

Answer:

2:6

Step-by-step explanation:

I honestly don't know at all if this is correct or if I even get the question but what I did to get 2:6 was- for the reds which was 2, 4, 6, 8 it was +2 and for green which was 6, 12, 12, 24 was +6 which in the end gave me 2:6

5 5
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.​

Answers

Step-by-step explanation:

Suppose the cost of each t-shirt is x

and the cost of each hat is y

according to question

[tex]\Rightarrow 2x+3y=12\quad \ldots(i)\\\Rightarrow 5x+4y=23\quad \ldots(ii)\\\text{solving (i) and (ii) we get}[/tex]

[tex]x=3\ \text{and}\ y=2[/tex]

So, the cost of a t-shirt is £3

the cost of a hat is £2

plsssss help its easy!!!!!
(one question)

wrong answer for points=banned

Answers

Answer:

First that's a  quiz. Lol

Step-by-step explanation:

It is the 2'nd answer.

Your Welcome.

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