Answer:
Total cost spent on supplies = 5 dollars
Lemonade will be sold at 0.5 dollars.
Let the total glasses of lemonade sold be x
So, revenue generated will be = 0.5x
To get the break even we will equal both.
[tex]0.5x=5[/tex]
[tex]x=5/0.5[/tex]
x = 10
Hence, number of glasses to be sold are 10.
The profit or y can be found as;
[tex]y=0.5x-5[/tex]
So, putting x = 11
[tex]y=0.5(11)-5[/tex]
y = 0.5
Putting x = 12
[tex]y=0.5(12)-5[/tex]
y = 1
Putting x = 13
[tex]y=0.5(13)-5[/tex]
y = 1.5
The slope is 0.5.
The y-intercept is -5. This means if 0 glasses of lemonade are sold then there is a loss of $5.
The y intercept is obtained when x=0.
[tex]y=0.5(0)-5[/tex]
y = -5
The x-intercept is 10 or the number of glasses I must sell to break even.
Complete the solution of the equation. Find the value of y when x equals 1. 9x+7y=-12
Hey there! :)
Find the value of y when x=1 : 9x + 7y = -12
To find the value of y, simply plug in 1 for x in our given equation.
9(1) + 7y = -12
Simplify!
9 + 7y = -12
Subtract 9 from both sides so that we can isolate y.
7y = -12 - 9
Simplify.
7y = -21
Now, divide both sides by 7 to fully isolate y.
7y ÷ 7 = -21 ÷ 7
Simplify!
y = -3
~hope I helped!~
On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75%, percent of the length it was on Monday.
Which of the following expressions could represent how many centimeters long Florencia's hair was after the haircut?
Choose 2 answers
Answer:
.75
Step-by-step explanation:
CraftWork rents a storage space that measures 200 ft x 300 ft x 30 ft.
CraftWork pays $1500 for the storage space each month. What is the cost
per cubic foot?
O
A. $0.008
O B. $0.0002
O C. $0.0015
O D. 50.00083
Answer:
0.00083
Step-by-step explanation:
200*300*30=1800000
1500/1800000=0.00083
The cost per cubic foot of the storage space is approximately $0.00083 per cubic foot. Hence the correct option is D.
To find the cost per cubic foot of the storage space, we need to calculate the total cubic footage of the space and then divide the monthly cost by that number. The storage space measures 200 ft x 300 ft x 30 ft, so the total volume is:
Total Volume = length times width times height
= 200 ft x 300 ft x 30 ft
= 1,800,000 cubic feet
Now, we calculate the cost per cubic foot:
Cost Per Cubic Foot = Total Monthly Cost / Total Volume
= $1500 / 1,800,000 cubic feet
= $0.00083 per cubic foot (rounded to five decimal places).
There are 10 pennies, 14 nickels, and 6 dimes in a bag, and you remove three at random without replacing any. What is the probability that you will remove a penny, a nickel, and a dime in that order?
1. 1/29
2. 1/10
3. 1/30
4. 1/812
Answer:
1/30
Step-by-step explanation:
A_____ is invested by Managers in a diversity of stocks bonds and other securities
Answer:
Step-by-step explanation:
A Mutual Fund is invested by Managers in a diversity of stocks bonds and other securities.
A mutual fund is a type of investment in which investors pool their money together to buy a portfolio of stocks, bonds or other securities in order to take advantage of diversification and professional portfolio management at a reasonable cost. It is operated by money managers, who invest the fund capital on the investors behalf. Investing in mutual funds enables those investing a modest amount of money to benefit from the same advantages enjoyed by large institutional investors....
Look at the figure. Find TW
Answer: NUMBER 9 I'm on gradpoint too
Step-by-step explanation:
Each week your science teacher gives a fifteen-point quiz. Your current scores are shown in the table. What is your mean quiz score?
The answer is 12 points
I have the table so I added the numbers to get 108, and there are 9 numbers, so yu do 108/9 equaling to 12
what are natural number less than 5
Answer:
Natural numbers = {1,2,3,4,5…} Answer 1: A is the set of Natural numbers between 1 and 5 inclusive. Answer 2: A is the set of Natural numbers less than 6.
Step-by-step explanation:
Answer:
n = 1, 2, 3, 4
Step-by-step explanation:
Natural numbers are any integers (whole numbers) that are positive.
In this case, all natural number (n) is less than (<) 5
n < 5 is your equality, but in reality it looks like: 0 < n < 5
The numbers that can fit into your problem is n = 1 , 2, 3, 4
n = 1, 2, 3, 4 is your answer.
~
Elise picks 6 pounds of apples.She uses 1/2 pounds to make 1 container of apple sauce. How many containers of applesauce can Elise make with all apples?
Answer:
12
Step-by-step explanation:
Mass of apples = number of containers × mass in each container
6 lb = No of containers × ½ lb
No of containers = 6/½
To divide a whole number by a fraction, invert the fraction and change divide to multiply.
6/½ = 6 × 2/1
Multiply the numerator by the whole number.
6 × 2/1 = 12/1
Simplify the fraction.
12/1 = 12
Elise can make 12 containers of applesauce.
Solve by factoring or finding square roots
x^2-1=0
Answer:
{1,-1}
Step-by-step explanation:
Let's do both!
Factoring!
x^2-1 is a difference of squares.
The formula for factoring a difference of squares is: u^2-v^2=(u-v)(u+v).
So the factored form of x^2-1 is (x-1)(x+1).
So we want to solve the equation x^2-1=0 which is equivalent to solving
(x-1)(x+1)=0.
If you have A*B=0 then either A=0 or B=0.
So in our case we have x-1=0 or x+1=0.
Now we just solve the equations.
x-1=0 can be solved by adding 1 on both sides giving us x=1.
x+1=0 can be solved by subtracting 1 on both sides giving us x=-1.
Square root!
When you want to use square roots, you have to have a perfect square containing the variables and a constant. We have that here.
We have x^2-1=0 which is equivalent to x^2=1. You could get this last equation by adding one on both sides of x^2-1=0.
Anyway, once you have the square part equals the constant, all you have to do is square root both sides to get rid of the square on the variable part.
[tex]x^2-1=0[/tex]
[tex]x^2=1[/tex]
[tex]\sqrt{x^2}=\sqrt{1}[/tex]
[tex]x=\pm \sqrt{1}[/tex] It leads to two answers because [tex]\sqrt{x^2}=|x|[/tex].
[tex]x=\pm 1[/tex]
The solution to the equation x^2-1=0 is x = 1 or x = -1.
Explanation:To solve the equation x^2-1=0 by factoring or finding square roots, we can start by rearranging the equation to get x^2=1. This means that the square of x is equal to 1. To find the square root of both sides, we take the square root of 1, which gives us x=±1. So the solution to the equation is x = 1 or x = -1.
Learn more about Solving quadratic equations here:https://brainly.com/question/32403169
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What is the domain of the function y=^3 sqrt x-1
Answer:
Domain is all real numbers also known as [tex](-\infty,\infty)[/tex] in interval notation.
[tex]f(x)=\sqrt[3]{x-1}[/tex]?
Step-by-step explanation:
If your function is [tex]f(x)=\sqrt[3]{x-1}[/tex] then the domain is all real numbers because you can cube root any real number.
If x is a real number, then x-1 is a real number.
So if you cube root (x-1) for any x then you still get a real number back.
Now if it was a square root, that is when we can run into some problems.
Answer: -infinity and positive infinity
Step-by-step explanation: It's either a on your test or two zero's that look twisted :)
What is the distance between the points (2,-3) and (-6,4) on the coordinate plane?
d = sqrt (2-(-6))² + (-3-4)²)
d = sqrt ( 8² + 7² )
d = sqrt ( 64 + 49 )
d = sqrt (113)
Answer: The distance between the two points is roughly 10,63:
B)
The distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. This can be obtained by using the distance formula.
What is the distance formula ?
The distance between two points (x₁,y₁) and (x₂,y₂) is
d = [tex]\sqrt{{(x_{2}-x_{1} )}^{2} + (y_{2}-y_{1} )^{2}[/tex]
In the given question, (x₁,y₁) is (2,-3) and (x₂,y₂) is (-6,4),
the distance d = [tex]\sqrt{{(x_{2}-x_{1} )}^{2} + (y_{2}-y_{1} )^{2}[/tex]
=[tex]\sqrt{{((-6)-2 )}^{2} + (4-(-3) )^{2}[/tex]
=[tex]\sqrt{{(-8)}^{2} + (7 )^{2}[/tex]
= [tex]\sqrt{{64 + 49[/tex]
=√113 =10.63 units
Hence the distance between the points (2,-3) and (-6,4) on the coordinate plane is 10.63 units. Thus option B is correct.
Learn more about distance formula here:
brainly.com/question/14074444
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List three decimals between 4.2 and 4.3
Answer:
4.21 and 4.22 (answers will vary)
Step-by-step explanation:
There are a lot of different numbers you can pick. It just has to be between 4.2 and 4.3. This means that 4.200000000000000000000000000001 can be an answer and 4.29999999999999999999999999 can be an answer.
Andy was playing a memory game with his sister. He turned over a tile to reveal a picture of the sun at the coordinates (5, 4). He looked under a tile that was 3 units to the left and 2 units down but revealed a picture of a tree. His sister knew that the other sun was 1 unit to the left and 1 unit up from the tree. What are the coordinates of the second sun? (JUSTIFY)
Answer:
(1, 3).
Step-by-step explanation:
The tree tiles coordinates are x = 5-3 = 2 and the y coordinate = 4 - 2 = 2
- that is (2, 2).
So the coordinates of the second sun are (2-1, 2 + 1)
= (1. 3).
The figure shows the letter M and four of its transformed images—A, B, C, and D: Which of the four images was formed by a reflection of the letter M?
Answer:
Correct answer is figure D.
Step-by-step explanation:
According to the attached image Figure D is correct option.
In a reflection transformation, all the points of an object are reflected or flipped. It is a type of transformation where the new image is the mirror image of the original and x-coordinates and y-coordinates changes the place.
Figure A is rotation and translation and Figure B and C are translation
Thus the correct option is Figure D....
what is the sum of the polynomials (-x^2+9)+(3x^2-11x+4)
The answer is:
[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]
Why?To solve the problem, we must remember how to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.
For example:
[tex]2x+3x+x^{2}=x^{2}+(2x+3x)=x^{2}+5x[/tex]
We were able to add only the linear terms (terms that contains the variable x") because they were like terms: they share the same variable and the same exponent.
We need to perform the following operation between polynomials:
[tex](-x^{2}+9)+(3x^2-11x+4)[/tex]
So, calculating we have:
[tex](-x^{2}+9)+(3x^2-11x+4)=2x^{2}-11x+13[/tex]
Have a nice day!
7. Select True or False for each statement.
A. The ordered pair (2, -5.2) is located in Quadrant IV.
B. Quadrant Il contains ordered pairs of the form
(positive number, negative number)
C. The point (-6, 0) is located on the y-axis
D. The origin is located in Quadrant |
E. To plot points in Quadrant III, move left and down
From the origin.
The answer addresses the true or false nature of five statements about the properties of coordinate pairs in a two-dimensional graph with respect to their quadrants, and the location of specific points on the coordinate plane.
The coordinates (x, y) indicate the position of a point on a two-dimensional graph in relation to the origin, which is at (0, 0). In a standard coordinate system, Quadrant I has both x and y as positive, Quadrant II has x as negative and y as positive, Quadrant III has both x and y as negative, and Quadrant IV has x as positive and y as negative.
A. False - The ordered pair (2, -5.2) is located in Quadrant IV, which is incorrect since Quadrant IV should have x as positive and y as negative, which is actually the case here, so the statement should be True.B. False - Quadrant II contains ordered pairs of the form (negative number, positive number), not positive x and negative y.C. True - The point (-6, 0) located on the x-axis, not the y-axis, since the y-coordinate is zero.D. False - The origin (0, 0) is not located in any quadrant as it is the point of intersection of all the quadrants.E. True - To plot points in Quadrant III, one indeed moves left (negative x direction) and down (negative y direction) from the origin.If g of x equals x squares minus 1, find g of 2
Answer:
g(2) = 3
Step-by-step explanation:
g(x) = x² - 1.
Substituting 2 for x in this formula, we get:
g(2) = 2² - 1, or g(2) = 3
Answer:
g(2) =3
Step-by-step explanation:
g(x) = x^2 -1
Let x=2
g(2) = 2^2 -1
=4-1
=3
Given the diagram below, which of the following ordered pairs represents the
vertex, A?
A. (b cos C,c sin C)
B. (a cos B, a sin B)
C. (a cos C, b sin C)
D. (b cos c, b sin c)
Factor this trinomial completely.
2x2 + 8x + 6
Answer:
[tex]2 {x}^{2} + 8x + 6 \\ 2( {x}^{2} + 4x + 3) \\ = 2( {x}^{2} + x + 3x + 3) \\ = 2(x + 1)(x + 3)[/tex]
Answer:
the answer is correct, just backwards. thanks for your help!
Step-by-step explanation:
Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut point with the y axis.
By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be [tex]m = 2.[/tex]
[tex]y = 2x + b[/tex]
We substitute the given point to find b:
[tex]2 = 2 (-1) + b\\2 = -2 + b\\2 + 2 = b\\b = 4[/tex]
Finally the line is:
[tex]y = 2x + 4[/tex]
Answer:
[tex]y = 2x + 4[/tex]
Answer:
y = 2x + 4.
Step-by-step explanation:
The slope = the slope of y = 2x - 3 which is 2.
Using the point-slope form:
y - y1 = 2(x - x1)
Using the point (-1, 2):
y - 2 = 2(x - -1)
y = 2x + 2 + 2
y = 2x + 4 is the answer.
Find the next two terms in the sequence.
0, 1, 4, 9, ...
oo o
16, 25
13, 17
o
13, 18
o
16, 23
0,1,4,9
0+1= 1
1+3= 4
4+5= 9
Add the numbers by using an odd number each time.
9+7= 16
16+9= 25
Answer is 16, 25 ( first choice):
0, 1, 4, 9, 16, 25
What is the absolute value of 9? -3?
Show your work
Answer:
|9| = 9|-3| = 3Step-by-step explanation:
The absolute value of number a:
|a| = a for a ≥ 0
|a| = -a for a < 0
|9| = 9
|-3| = -(-3) = 3
Find the measure of a in the picture please
Answer:
a = 44 degrees
Step-by-step explanation:
Triangle AOB is an isosceles triangle.Angle A and B are same.All three angles of a triangle are equal to 180 degrees.angle 0 + angle a + angle b = 180 degrees
angle b = angle a
92 + a + b = 180 degrees
92 + 2a = 180 degrees
a = 44 degrees
!!
A triangle has two sides of lengths 7 and 9. What value could the length of the third side be?
Answer:
The length of the third side could be all real numbers greater than 2 units and less than 16 units
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
so
Applying the triangle inequality theorem
Let
x ------> the length of the third side
we have
First case
1) 7+9 > x
16 > x
Rewrite
x< 16 units
Second case
2) 7+x > 9
x > 9-7
x > 2 units
therefore
The solution for the third side is the interval
(2,16)
All real numbers greater than 2 units and less than 16 units
Which of the following is equivalent to the expression below?
√(-300)
A. -10i √(3)
B. -3i √(10)
C. 3i √(10)
D. 10i √(3)
Answer:
D. 10i √(3)
Step-by-step explanation:
√(-300)
We know sqrt (ab) = sqrt(a) sqrt(b)
sqrt(-300) = sqrt(-3) sqrt(100)
= sqrt(-1) sqrt(3) sqrt(100)
The sqrt(-1) =the imaginary number 1 and sqrt(100) =10
= i * sqrt(3) * 10
=10i sqrt(3)
What is the rule for the reflection?
This image is being reflected over the y-axis. When reflecting over the y-axis the y-coordinate will stay the same, but the x-coordinate will have the opposite sign. Here is the rule for this reflection:
(-x, y)
Hope this helped!
~Just a girl in love with Shawn Mendes
If two pyramids are similar and the ratio between the lengths of their edges is 3:4, what is the ratio of their volumes?
Answer:
The ratio of their volumes is 27/64
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
The scale factor is 3/4
step 2
Find the ratio of their volumes
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
[tex](\frac{3}{4})^{3}=\frac{27}{64}[/tex]
To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18
Answer:
Choice C:
slope = -18x
y-intercept = 850
Step-by-step explanation:
Drew uses 18 ounces of flour
-18x represents the amount of flour used
850 ounces of flour
or (0,850) is the y-intercept and represents the total number of flour
Answer
slope = -18x
y-intercept = 850
Answer:
C
Step-by-step explanation:
C
The legs of a right triangle measure 5 centimeters and 12 centimeters. What
is the length of the hypotenuse?
Answer:
13
Step-by-step explanation:
Using pythag the. , we see the rule a2+b2=c2 (Square)
so, a2=25, b2= 144,
25+144=c2
c2=169
sqrt=13