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Related Questions
what is the anwser to x^2-9x-22=
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Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week. Graph the three equations you just wrote for each salesman if they have between 0 and 20 sales in a week. Graph all three equations on the same graph . Make sure you label each line with the salesman it represents, as well as label the axes. Note: The independent variable is s, and the dependent variable is p.
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Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Salesman A: 1300 ≤ 65S
Salesman B: P = 40S + 300
Salesman C: P = 900
Salesman A can only have 20 sales. 1,300/65 = 20. It should not go beyond that because it will go beyond the limit of 1,300 per week.
Salesman B will earn 1,100 for 20 sales. P = 40(20) + 300 = 800 + 300 = 1,100.
Salesman C will earn 900 regardless if he had 0 or 20 sales for the week.
You can do your own graph using my equations.
the sum of two numbers is 83. The difference of the 2 numbers is 13. What is the product of the two numbers?
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The product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that the sum of two numbers is 83 and the difference of these two numbers is 13.
Assume that the numbers are [x] and [y] respectively. Then -
x + y = 83 ...[1]
and
x - y = 13
x = 13 + y
Substitute (x = 13 + y) in Equation [1], we get -
13 + y + y = 83
2y = 70
y = 35
Therefore, [x] will be equivalent to -
x = 13 + 35
x = 48
Now, the product of [x] and [y] will be -
xy = 35 x 48 = 1680
Therefore, the product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.
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BRAINLIEST FOR THE FIRST RIGHT ANSWER
Instructions: Select the correct answer.
Audrey has a box that contains one caramel chocolate (C), one milk chocolate (M), one dark chocolate (D), and one white chocolate (W). She picks one chocolate and eats it. Then she picks another chocolate and eats it. What is the sample space of the event?
A. {M-D, M-W, M-C, D-W, D-C, W-C}
B. {M-D, M-W, M-C, D-M, D-C, D-W, W-M, W-C, W-D, C-M, C-D, C-W}
C. {M-D, M-W, M-M, D-M, D-C, D-D, W-M, W-W, W-D, C-M, C-D, C-C}
D. {M-D, M-W, M-C, M-M, D-M, D-C, D-W, D-D, W-M, W-C, W-D, W-W, C-M, C-D, C-W, C-C}
Answers
since there is only 1 flavor of each there would be 3 combinations containing each flavor
So, I know this can be confusing, but basically, it is just asking for all the possibilities of chocolates Audrey could've chosen. There are 4 choices.
C, M, D, and W.
You have 4 choices for the first pick.
You have 4 choices for the second.
4*4= 16
Which choice has 16 options?
"D" has 16 options. It is the correct sample space.
I hope this helps!
~kaikers
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B=
°
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When you have an inscribed quadrilateral, the opposite sides are supplementary.
So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23
Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157
The measure of angle B is 157 degrees. (The picture is not drawn to scale)
Good luck,
MrEQ
Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A) Store #1
B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatterplots.
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The revenue from store1 is more. The correct option is A.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
As per the given Scatter plot the revenue for a store can be calculated by adding the revenue collected by the shop from each particular product.
And to calculate the revenue collected by the store from each particular product, multiplying the cost of a single item to its corresponding price.
Therefore, the revenue from each of the store are:
The revenue collection for store1 is $35,100.
The revenue collection for store2 is $29,800.
Since 35,100>29,800, therefore, the revenue from store1 is more.
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The complete question is:
Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A) Store #1
B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatterplots.
The Scatterplot for the two stores are mentioned in the images.
A point undergoes two transformations. The x-coordinate's sign changes and the y-coordinate increases. What were the transformations?
The point was reflected over the y-axis and translated down.
The point was reflected over the x-axis and translated to the right.
The point was reflected over the y-axis and translated up.
The point was reflected over the x-axis and translated to the left.
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Answer:
(C) The point was reflected over the y-axis and translated up.
Step-by-step explanation:
Factor the expression 28r + 42s -35
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7(4r + 6r - 5)
We can't factor anymore.
Answer:
7(4r + 6r - 5)
Step-by-step explanation:
help meeeeeeeeeeeeeeeeeeeeee
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Y= -2
X= -4
Don’t even thank :))
For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
We have then:
For the x axis:
y = 0
Substituting in the equation:
x + 2 (0) = - 4
x + 0 = -4
x = -4
For the y axis:
x = 0
Substituting in the equation:
x + 2y = -4
0 + 2y = -4
y = -4 / 2
y = -2
We graph the ordered pairs:
(x1, y1) = (- 4, 0)
(x2, y2) = (0, -2)
Answer:
See attached graph.
On Monday it snowed 9 inches. The next day it snowed 1/2 that amount. How much did it snow on the second day?
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351.68 rounded to the nearest hundredth?
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351.68 is already rounded to the nearest hundredth. The digit in the hundreds place is 8.
Hope this helps! Tell me if you meant something else ;)
The distance from Caleb's house to the school is 1.5 miles, and the distance from Ashley's house to the school is 3520 feet. Who lives closer to the school, Caleb or Ashley? Use numbers and words to support your answer.
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Hi there!
To solve this problem, first we need to convert everything into feet.
1.5 mi = 7920 ft
Since
7920 is greater than 3520,
Ashley lives closer to the school.
Hope this helps!
Lavonne sold 4 times as many raffle tickets than Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find out how many tickets Kenneth sold.
PLEASE!!!!!! A+
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Hope this helped
56/4=14
then plug it in and you get 14 times 4 = 56
which benchmark fraction could you use to estimate the prodict of 36 x 11/16
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benchmark fractions are commonly used for estimation.
[1/2 1/3 1/4 3/4 2/3]------------> are all benchmark fractions
we have that
36 x 11/16
11/16 is about 12/16 which is 3/4
the answer is 3/4
Which quadrants have an abscissa and ordinate that has the same sign?
A. Quadrants I and II
B. Quadrant II and IV
C. Quadrants I and III
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Use the formula SA=6s2 , where SA is the surface area and s is the edge length of the cube, to solve this problem. Eliz must cover a cube-shaped box with giftwrap. The edge length of the box is 6 1/2 inches. What is the surface area of the box?
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Please could someone help with this one . Thanks I will brainlist
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Sam typed 420 words in 10 minutes if he continues to type at his rate how many words will he have typed in 3 hours
A. 756
B.1,260
C.2,520
D.7,560
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420/10= 42
42 words per min
42*180= 7560
Answer-
At this rate Sam will be able to type 7,560 words in 3 hours.
Sam can type 7,560 words in 3 hours if he continues typing at the same speed that is 420 words in 10 minutes.
Explanation:The problem is asking to find out how many words Sam can type in 3 hours if he continues at the rate of typing 420 words in 10 minutes. First, we need to convert 3 hours to minutes since the typing speed is given in terms of minutes. There are 60 minutes in an hour, so 3 hours equals 180 minutes. Typing speed is calculated by dividing the total number of words by the total time. In this case, Sam's typing speed is 420 words / 10 minutes = 42 words per minute. Considering his typing speed, in 180 minutes (3 hours), he should be able to type 42 words per minute * 180 minutes = 7560 words. Therefore, the correct answer is D.7,560.
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There are 64 teams in the march madness basketball tournament. By the time it is finished how many total number of games will have been played?
Leave the steps on how to solve in your answer please and thank you
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The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m
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Answer:
Option D, 10m
Step-by-step explanation:
The area of a square garden is 50 m²
We have to find the diagonal of the square garden by Pythagoras theorem.
Since ( diagonal )² = 2(side)²
( diagonal )² = 2 × area
= 2 × 50 = 100 m²
diagonal = √100
= 10 meter
Option D., 10m is the answer.
Find an angle at home. Measure the angle. Record the measure. Classify the angle.
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△ABC has interior angles with measures x°, 90°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true?
a The triangles are similar because they each have an interior angle with a measure 70°.
b The two triangles are not similar because the interior angles are congruent but
the side lengths are different.
c The two triangles are similar because y=90 .
d The two triangles are not similar because x≠y .
Answers
Answer:
c
Step-by-step explanation:
i took the test
Please help
The profits for a large international bank were $2 934 569 000.
What is the scientific notation form of the profit figure? (Round the base/root to 1 decimal point.)
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Rewrite the following equation in slope-intercept form. 17x + 15y = 5 Write your answer using integers, proper fractions, and improper fractions in simplest form.
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y = [tex] \frac{-17}{15} x[/tex] + [tex] \frac{1}{3} [/tex]
Explanation:
The slope-intercept form of the equation has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
17x + 15y = 5
To put it in the slope-intercept formula, we should isolate the y as follows:
17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y = [tex] \frac{-17}{15} x[/tex] + [tex] \frac{1}{3} [/tex]
where:
m is the slope = -17/15
c is the y-intercept = 1/3
Hope this helps :)
Final answer:
Slope-intercept form of the equation 17x + 15y = 5 is y = (-17/15)x + 1/3, with a slope of -17/15 and a y-intercept of 1/3.
Explanation:
To rewrite the equation 17x + 15y = 5 in slope-intercept form, which is y = mx + b where m is the slope and b is the y-intercept, follow these steps:
Subtract 17x from both sides of the equation: 15y = -17x + 5.Divide both sides of the equation by 15 to solve for y: y = (-17/15)x + 5/15.Simplify the fractions to get the final form: y = (-17/15)x + 1/3.Here, the slope (m) of the line is -17/15, and the y-intercept (b) is 1/3.
Web flixs charges $25 and $2 for each movie family video charges $10 plus $2.50 for each movie find the number of movie rental for both stores charge are the same
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To find the answer you have to do this
(M stands for movies)
$25 + 2m = $10 + 2.50m
-10 -2m -10 -2
$15 = .50m
Divide .50/15
You get 30
Check your answer $25 + 2(30) = $10 + 2.50(30)
$25 + $60 = $10 + $75
$85 = $85
The number of movie rentals for which Web Flixs and Family Video charge the same is 30.
Explanation:To find the number of movie rentals for which Web Flixs and Family Video charge the same, we need to set up an equation and solve for the number of movies. Let's denote the number of movie rentals as 'x'.
For Web Flixs, the cost is $25 + $2 per movie, so the total cost can be expressed as 25 + 2x.
For Family Video, the cost is $10 + $2.50 per movie, so the total cost can be expressed as 10 + 2.50x.
To find the number of movie rentals for which the costs are the same, we set up the equation: 25 + 2x = 10 + 2.50x.
By rearranging the equation and solving for 'x', we can find the number of movie rentals:
25 - 10 = 2.50x - 2x
15 = 0.50x
x = 30
Therefore, when the number of movie rentals is 30, the charges at both Web Flixs and Family Video will be the same.
Please help me, thanks.
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Examples:
1. real numbers
2 + 3 = 3 + 2
2. algebraic expressions
x 2 + x = x + x 2
2. Commutative Property of Multiplication.a * b = b * a
Examples:
1. real numbers
5 * 7 = 7 * 5
2. algebraic expressions
(x 3 - 2) * x = x * (x 3 - 2)
3. Associative Property of Addition.(a + b) + c = a + (b + c)
Examples:
1. real numbers
(2 + 3) + 6 = 2 + (3 + 6)
2. algebraic expressions
(x 3 + 2 x) + x = x 3 + (2 x + x)
4. Associative Property of Multiplication.(a * b) * c = a * (b * c)
Examples:
1. real numbers
(7 * 3) * 10 = 7 * (3 * 10)
2. algebraic expressions
(x 2 * 5 x) * x = x 2 * (5 x * x)
5. Distributive Properties of Addition Over Multiplication.a * (b + c) = a * b + a * c
and
(a + b) * c = a * c + b * c
Examples:
1. real numbers
2 * (2 + 8) = 2 * 2 + 2 * 8
(2 + 8) * 10 = 2 * 10 + 8 * 10
2. algebraic expressions
x * (x 4 + x) = x * x 4 + x * x
(x 4 + x) x 2 = x 4 * x 2 + x * x 2
6. The reciprocal of a non zero real number a is 1/a.and a*(1/a) = 1
Examples:
1. real numbers
reciprocal of 5 is 1/5 and 5*(1/5) = 1
7. The additive inverse of a is -a.a + (- a) = 0
Examples:
additive inverse of -6 is -(-6) = 6 and - 6 + (6) = 0
8. The additive identity is 0. and a + 0 = 0 + a = a
9. The multiplicative identity is 1.and a * 1 = 1 * a = a
if someone could help me, it’d be great!
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A as the first letter
B as the second letter
C as the third letter
The order is important
Similarly with EFG we hae
E as the first letter
F as the second letter
G as the third letter
The order is also important
Based on the orderings, we can say
A corresponds to E
B corresponds to F
C corresponds to G
Which means
A rotates to E
B rotates to F
C rotates to G
The final answer is choice C) Angle C
since we're looking for the angle that rotates or maps to angle G
find the equation of the line given two points. (2,1), (5,2). y=?
example answer: (4,0), (5,2). y=2x-8
please help. ive been on this problem for almost an hour now
Answers
Note: the slope is 1/3 and the y intercept is 1/3
------------------------------------------------------
Explanation:
First we need the slope of the line through the two points. Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (2-1)/(5-2)
m = 1/3
The slope is m = 1/3
Use this slope, along with one of the points. I'll use the point (x,y) = (2,1). Plug these three values into the equation y = mx+b and then solve for b
y = mx+b
1 = (1/3)(2)+b
1 = 2/3+b
1-2/3 = 2/3+b-2/3
1 - 2/3 = b
b = 1 - 2/3
b = 3/3 - 2/3
b = 1/3
So the slope and y intercept are
m = 1/3
b = 1/3
Therefore the equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]
which one of the following tables is a relation that represents a function?
Answers
Table 3
Explanation:
For a relation to be a function, each x value should have only one corresponding y value.
Now, let's check the givens:
Table 1:
x = 1 has two corresponding y-values. Therefore, this is not a function
Table 2:
x = 10 has two corresponding y-values. Therefore, this is not a function.
Table 3:
each x value has only one corresponding y-value. Therefore, this one is a function
Table 4:
x = 7 has two corresponding y-values. Therefore, this is not a function.
Hope this helps :)
what is the area of this shape
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A = 252 + 117
A = 369
answer
369 m^2
hope it helps