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
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Henry is trapped at the roof top of a burning building, which is 24 feet high. In order to rescue him, his father, Diego, must find a ladder which will be used to cross the river, which is 7 ft wide, and go up directly to the top of the building. Help Diego to find the appropriate length of ladder from the other side of the river to the top of the building.
Answer:
168
Step-by-step explanation:
so what you are going first is 24 times 7 which is
The number y of calories burned after x minutes of kayaking is represented by the linear function y=4.5x . The graph shows the number of calories burned by hiking.
a. Which activity burns more calories per minute?
A) kayaking
B) hiking
Question 2
b. You perform each activity for 45 minutes. How many total calories do you burn?
You burn 472.5 calories.
Question 3
Justify your answer.
Step-by-step explanation:
Aswer:
22.5 more calories are burned
Hiking:
y=255
Kayak:
y=202.5
A man invests 10000 for 3 years at a certain rate of interest, compounded annually. At the
end of one year, it amounts to 11200. Calculate :
(i) the rate of interest per annum;
(ii) the interest accrued in the second year;
(ii) the amount at the end of the third year.
Step-by-step explanation:
10000, After 1 year amount = 11200 so interest after 1 year = 1200
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%
Interest for the second year = 11200(1+12/100)1 - 11200 = 1344
after 3 years = 10000(1+12/100)3 = 14049.28
Step-by-step explanation:
(I) Principle = Rs 10000, After 1 year amount
= Rs 11200 so interest after 1 year
= Rs 1200
R = 12%
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%——————————————————————————————————————
(Ii)Interest for second year = 11200(1+12/100)1 - 11200 = Rs 1344
(iii)Amount after 3 year = 10000(1+12/100)3 = Rs 14049.28
there are 250 chairs and 150 chairs are full what is the percentage of occupied chair what is the percentage of non occupied chair
Answer:
What is p% of x?
What is
150
%
of
250
?
y =
375
what is p% of x? formula
Step-by-step explanation:
slope is 2/3 y- intercept is -2
Answer:
y = (2/3)x - 2
Step-by-step explanation:
The equation of this line is y = (2/3)x - 2, where m is the given slope and -2 is the given y-intercept. We need only plug in the given values for m and b.
Answer:
[tex]y = \frac{2}{3} x -2[/tex]
Step-by-step explanation:
This is the slope-intercept form. The slope-intercept form is written as y = mx + b where m is the slope and b is the y-intercept. The y and x stay as they are.
I hope this was what you were looking for.
gamestop is losing value at 5% per day. if its 50 dollars per share to day, how much will it be worth at the end of the week
Answer:
GameStop will be worth $34.92 by the end of the week
Step-by-step explanation:
It's sad, but true lol
i don’t understand my homework?
Answer:
x = 140
Step-by-step explanation:
40 * 2 + 2x = 360
80 + 2x = 360
2x = 280
x = 140
Select all the ways you can tell that there is no solution to a system of equations.
A. The equations have different slopes and have the same y-intercepts.
B. The equations have the same slope and have different y-intercepts.
C. The graph of the system shows the same line.
D. The graph of the system shows parallel lines.
E. The graph of the system shows perpendicular lines.
THERE CAN BE MORE THAN ONE ETC ANSWERS
Answer:
b and d
Step-by-step explanation:
The ways you can tell that there is no solution to a system of equations are:
B. The equations have the same slope and have different y-intercepts.D. The graph of the system shows parallel lines.A linear equation is represented as:
[tex]y = mx+c[/tex]
Where:
m represents the slopec represents the y-interceptWhen the equations in a system of linear equation has the same slope, then the equations are parallel, and they have no solution.
Hence, the true statements are (b) and (d)
Read more about systems of linear equations at:
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Find the unknow measures of y and x.
9514 1404 393
Answer:
x = 2 m
y = 30°
Step-by-step explanation:
The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.
x = DF = 1/3(AB) = (1/3)(6 m)
x = 2 m
__
Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.
y = ∠B = ∠E = 30°
y = 30°
A book store sells used
books.
Paperback books cost $1.00.
Hardback books sell for $5.00.
The store sold 100 books and made $260 from the sale.
How many paperback books did the store sell?
Α. 20
В. 40
C. 60
D. 80
Answer:
The correct answer is C
Positive
pls help it’s timed loll
Answer:
A
Step-by-step explanation:
2.2*4 = 8.8
8.8+1.7= 10.5
Answer:
The answer is A 2.2
Step-by-step explanation:
2.2×4=8.8
8.8+1.7=10.5
Can someone please help me with my math corrections?
Answer:
Step-by-step explanation:
y = 2x + 3 {y = mx + b}
In Function A, rate of change is 2
Function B:
Rate of change = Change in y÷ change in x
[tex]= \frac{11-7}{0-[-1]}\\\\=\frac{11-7}{0+1}\\\\=\frac{4}{1}\\\\= 4[/tex]
In function B, rate of change is 4
Least: Function A
Greatest: Function B
9. Spanky is four inches less than of Lanky's height. Write an expression for
Spanky's height.
Algebraic Expression:
Spanky
Lanky is 72 inches tall. How tall is Spanky?
Algebraic Expression
Numerical Expression
Answer
You pick the variable for
Lanky's height! Lanky
68 inches tall is Sparky
Step-by-step explanation:
just take of 4 tall of lanky then you will get the tall
Help I need to submit this ASAP
Answer: th
Step-by-step explanation:
help me with maths :)
Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour
A line goes through the point (5,7) and has a slope m= -3
Answer:
y=-3x+7
Step-by-step explanation:
The slope form is y=mx+b
7 replaces B since the points intercept at positive 7. The slope is already given to you so that ur equations
There are 2 cats to 5 dogs. Which of the following is an equivalent ratio of cats to dogs?
Answer:
See below.
Step-by-step explanation:
The ratio of cats to dogs would be 2/5. This is the simplest ratio, but I assume you are looking for other ratios that are equal to 2/5
Since you did not provide choices to pick from, I can't really answer your question. But, some ratios that are equal to 2/5 are 4/10, 6/15, 8/20, and 10/25.
Don has an album that holds 900 coins . Each page of the album holds 9 coins . If 78% of the album is empty, how many pages are filled with ?
Answer: 22% of the pages are filled up
Step-by-step explanation: 900/9= 100 78% of 100 is 78
22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.
what is the first step to solving 9z-21=60
Answer:
add 21 to both sides
Step-by-step explanation:
9z-21=60
9z-21+21 =60+21
9z=81
9z/9=81/9
z = 9
Okay I don't know this one either so uh help please
9514 1404 393
Answer:
(a) A'(-2, 1), B'(-4, -3), C'(-7, 0)
Step-by-step explanation:
If X is the center of rotation, the coordinates of point P are transformed like this:
P' = -(P -X) +X
P' = 2X -P
(x, y) ⇒ (2(-5) -x, 2(3) -y)
(x, y) ⇒ (-10-x, 6-y)
__
Your points are transformed to ...
A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)
B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)
C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)
These coordinates match the first choice.
PLZ HELP DUE AT 12
Answer:
The first one would be m^30n^20p^30
And the second one would be a^2 / d^4
Step-by-step explanation:
For 1, you have to multiply the inner exponents by the outer one so you get (m^12n^8) times (m^18n^12p^30). Then you mutiply the two together, so you add the exponents, where you get m^30n^20p^30.
For 2, since you're dividing, you have to subtract the exponents so you get a^2d^-4, but since you shouldn't have the negative you turn it into a^2 / d^4
Hope this helps :)
Find x+y, if: 2x+3y=8 and 3x+5y=13
y = 7x + 10y = -4x - 23
Answer:
11x+23
y= - --------------
10
Step-by-step explanation:
Where will Jack and Nolan meet
7=100z what does z equal?
Answer:
z = 7/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
7/100z
Malala is following this recipe for bread rolls.
She uses 500 mL of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
480 g flour
12 g salt
6 g yeast
30 mL oil
600 mL water
Answer:
500ml water
400 g flour
2 g salt
5 g yeast
25ml oil
Step-by-step explanation:
9x^3- 18x^2 - 4x + 8 : x- 2
Answer:
Step-by-step explanation:
[tex]9x^3-4x-18x^2+8\\ \\ x(9x^2-4)-2(9x^2-4)\\ \\ (x-2)(9x^2-4)\\ \\ (x-2)(3x+2)(3x-2)\\ \\ \text{If you divide by x-2 you have}\\ \\ (3x+2)(3x-2)[/tex]
Halp aspp
give brialest
Answer:
Cant see the full photo {error}
Caleb claims that the order pairs shown in the table below are from a nonlinear function.
x f(x)
0 2
1 4
2 8
3 16
please show your work
Caleb is correct bc he table doesnt have a constant rate of change so it cant be linear.
its a exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
i s#ck at answering lma*oo. hope this helped
Caleb is correct the table doesn't have a constant rate of change so it can't be linear.
What is a nonlinear function?Any function whose graph is not a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope. Every pair of points on the graph do not have the same slope.
The rate of change of the function is not constant for the given data so it can not be a linear function. It's an exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
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