The course costs, approximately, $0.16 per hour.
Step-by-step explanation:1. Convert the 10 weeks to hours.10 weeks * 7= 70 days
70 days * 24= 1680 hours
2. Calculate cost/hour.Establish a rule of 3.
1680 hours -----> $275
1 hour -----> x
x= (1 hour * $275) / 1680 hours
x= 0.1636904762 ---> Round to the nearest cent.
x= 0.16 ---> Final result.
3. Conclude.
The course costs, approximately, $0.16 per hour.
A computer consultant charges her client for her services
based on an equation relating the total bill to the
number of hours worked (h). The best interpretation for
the expression 85h + 75 is
The best interpretation for the expression 85h + 75 is;
The charge for each hour worked is $85
The initial charge before commencement of work per hour is $75
How to Interpret Linear Equations?The general formula of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, the slope may also be called the rate of change of the output with the input while the y-intercept represents the initial value or the value of the output when the input is zero.
Now, we are given the equation for total bill as;
T = 85h + 75
where h is number of hours worked
Thus;
The charge for each hour worked is $85
The initial charge will be $75 before commencement of work per hour.
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has vertices
Rectangle ABCD
D(4, - 2)
A(1, 2), B(4, 2). C(1, — 2). ane
A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of
(24, 12)
o A
о В!
o D'
9514 1404 393
Answer:
B'(24, 12)
Step-by-step explanation:
The transformation due to dilation by a factor of 6 is ...
(x, y) ⇒ (6x, 6y)
We want to identify the original point, so we can find (x, y) using ...
(24, 12) = (6x, 6y)
(4, 2) = (x, y) . . . . . . divide by 6
The point with coordinates (4, 2) is point B, so the point with coordinates (24, 12) is B'.
Frannie put 2/3 of her music collection on an mp3 player. While on vacation, she listened 1/2 to of the music
on the player
How much of Frannle's music collection did she listen to while on vacation? Choose the correct values to
describe how to solve the problem.
Answer: 6/15=2/5 of her collection
Step-by-step explanation: ]
She starts out with 2/3 of her collection on the player.
She listens to 3/5 of this; that is 3/5 (2/3) = (3*2)/(5*3)=6/15 This simplifies to 2/5.
Hope that helps! ;)
Please help me answer this
Answer:
answer is
Step-by-step explanation:
Use the following rules to graph and by label the ordered pairs on a coordinate grid with at least 4 points on the coordinate plane:
1. Maddy wrote a pattern for the
x coordinates starting at 3 and followed the rule “add 2.”
2. Ted wrote a pattern for all the y coordinates starting at 0 and followed the rule “add 4.”
Maddy's rule for obtaining the x-coordinate values and Ted's rule for
obtaining the y-coordinate values combine to form a linear graph.
Reasons:
Please find attached the graph with labelled ordered pairs created by Maddy's and Ted's rules.Method by which the graph is formedThe given rules used to graph the equations are;
Maddy's rule for the x-coordinate values = x + 2, where, x ≥ 3
Ted's rule for the y-coordinate values = y + 4, where, y ≥ 0
Therefore, the following table of values can be generated;
\(\begin{tabular}{|c|c|}x&y\\3&0\\5&4\\7&8\\9&12\\11&16\end{array}\right]\)
The first difference of the y-values is constant and the difference in the x-
values is also a constant, therefore, the data represents a linear function
and the graph is also linear.
Using the above table of values obtained from Maddy's and Ted's rules, the
graph of the ordered pair can be plotted by entering the values in MS
Excel spread sheet and using the insert Scatter plot function.
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Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
A news agent conducted a survey of business magazine subscribers in a town and found that there was
circulation of only three business magazines. He made the Venn diagram below to show the number of
subscribers to each of the three magazines: Board Review, Strategy and Finance, and Investor Journal
394 subscribers are represented in the venn diagram.
What is venn diagram?Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.
Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.
according to the venn diagram
196+41+21+52+84 = 394
There are 394 subscribers
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(28.5-5. 190)-2
5-2
23
228
hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)
the soccer team manager plans to have 2 gallons of water for every 4 players on the team during practice. determine whether the statements about ratios are true or false.
A. The team manager needs 1 gallon of water for every 1 player
` true or false
B. The ratio of number of players to gallons of water is 2:1
` true or false
C. The team manager ould need 4 gallons of water for 10 players
` true or false
D. For 30 players, the team manager would need 15 gallons of water ` true or false
Answer:
A.=False
B.=True
C.=False
D.=True
Step-by-step explanation:
The original ration is 2 gallons of water for 4 players.
Each player requires 1/2 gallon of water.
To get the amount of water needed multiply 1/2 by the amount of players.
1*(1/2) does not equal 1
2*(1/2) equals 1
10*(1/2) does not equal 4
30*(1/2) equals 15
Slope-intercept equation from graph
of the line
. Two circles are drawn with sides AB and AC of a triangle ABC as Diameters. The circles intersect at apoint D. If AB = 5cm, BD = 3 cm and AC = 6 cm, find BC
In the given figure,
Circles are drawn considering the sides AB and AC as diameters.
The circle intersects at point D.
Point D lies on side BC.
Draw a perpendicular from point A on BC intersecting at D.
\(\begin{gathered} In\text{ }\Delta\text{ ADB , By Pythagoras theorem ,} \\ AB^2=AD^2+DB^2 \\ 5^2=AD^2+3^2 \end{gathered}\)Further,
\(\begin{gathered} AD^2=5^2-3^2 \\ AD^2=\text{ 25 - 9} \\ AD^2=\text{ 16} \\ AD\text{ = 4 }cm \end{gathered}\)Further,
\(\begin{gathered} In\text{ }\Delta ADC,\text{ By Pythagoras theorem } \\ AC^2=AD^2+DC^2 \\ 6^2=4^2+DC^2 \end{gathered}\)Therefore,
\(\begin{gathered} DC^2=6^2-4^2 \\ DC^2=\text{ 36 - 16} \\ DC^2=\text{ 20} \\ DC\text{ = 2}\sqrt[]{5}cm \end{gathered}\)The value of BC is calculated as,
\(\begin{gathered} BC\text{ = BD + DC} \\ BC\text{ = 3 + 2}\sqrt[]{5} \\ BC\text{ = }(\text{ 3 + 2}\sqrt[]{5}\text{ ) }cm \end{gathered}\)Thus the value of BC is ,
\((\text{ 3 + 2}\sqrt[]{5}\text{ ) }cm\)What is the point-slope form of an equation
for a line that passes through the point (-1, 5) wit
the slope m = -7/16 ?
Answer:
y=-7/16x+73/16
Step-by-step explanation:
A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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How are the triangles similar PLEASEEE HELPPPPPPP
Answer:
AA similarity postulate
Hope this helps you. Do mark me as brainly.
Find the surface area
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
Answer the photo please and do my other ones
Answer:
C
Step-by-step explanation:
If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.
Subtracting Turkey (12) from Ham (9) your answer is C, or 3.
Help homies help like now
Answer: I am really not sure...
Step-by-step explanation:..
Ask questions slove for x 5(x-3)=15
Answer:
Step-by-step explanation:
Your answer is 6
A circular plate has circumference of 37.7cm. Calculate the diameter of the plate
Anyone that answers I will mark as brilliant
Answer:
12.0
Step-by-step explanation:
d(pi)=37.7
d=12.0
Solve these equations using Elimination
Answer:
-4x + 11y = 14
Step-by-step explanation:
you just add and subtract the like terms
What is the midpoint of the segment with the two endpoints (4,-6) and (-2,-3)? Put your answers in decimal form, if applicable.
Answer:
(1, -4.5)
Step-by-step explanation:
Given points are: (4, -6) and (-2, -3)
\(\implies x_1= 4,\:x_2= -2,\:y_1= -6,\:y_2= -3\)
\(mid\: point =\bigg(\frac{x_1+x_2}{2},\: \frac{y_1+y_2}{2}\bigg)\\\\ = \bigg(\frac{4+(-2)}{2},\: \frac{-6+(-3)}{2}\bigg)\\\\ = \bigg(\frac{4-2}{2},\: \frac{-6-3}{2}\bigg)\\\\ = \bigg(\frac{2}{2},\: \frac{-9}{2}\bigg)\\\\ = (1,\: -4.5)\)
Which statement about the properties of Function A and Function B are true?
Select each correct statement.
A The Y-intercept of Function A is equal to the Y-intercept of Function B.
B The Y-intercept of Function A is less than the Y-intercept of Function B.
The Y-intercept of Function A is greater than the Y-intercept of Function B.
D The rate of change of Function A is equal to the rate of change of Function B.
E The rate of change of Function A is less than the rate of change of Function B.
Answer:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B
Step-by-step explanation:
Function A rate of change and y-intercept:
✔️Rate of change using two pairs of values from the given table, (1, 2) and (3, 10):
Rate of change = ∆y/∆x = (10 - 2) / (3 - 1) = 8/2 = 4
Rate of change (m) of Function A = 4
✔️ To find the y-intercept (b) of function A, substitute (x, y) = (1, 2) and m = 4 into y = mx + b (slope-intercept form):
2 = 4(1) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Y-intercept (b) of function A = -2
Function B rate of change (m) and y-intercept (b):
The function, y = 3x + 4 is given in the slope-intercept form, y = mx + b.
Therefore,
Rate of change/slope (m) = 3
Y-intercept (b) = 4
The following staments about the properties of both functions are therefore true:
B. The Y-intercept of Function A is less than the Y-intercept of Function B
F. The rate of change of Function A is greater than the rate of change of Function B
A garden has a length of (x + 2) feet and a width of (2x - 1) feet. The garden’s total area is 88 square feet. Find the length.
Answer:
x= 29
Step-by-step explanation:
how do you solve this?
25^3-2x=125^3-2x
Answer:
collect like terms
Step-by-step explanation:
collect all the x numbers and the power of 3 numbers to simplify
which expression is equivalent to the given expression -2x^2+8x-9+4x+7x^2+2
Answer:
-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7
Step-by-step explanation:
A printer can print 12 pages in 9 seconds. What is the closet estimate of the number of pages it can print in one minute
Over a 4 week period, randy clocks in the following work hours: 68, 71, 66, and 67. How many hours were in Randy’s average work?
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The value of angle BCD is determined as 108⁰.
option B is the correct answer.
What is the value of angle BCD?The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
arc AB = m∠ACB
m∠ACB = 72⁰
The value of angle BCD is calculated as follows;
angle BCD = 180 - 72⁰ (sum of angles in a circle)
angle BCD = 108⁰
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Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
Johnny is 5 years younger than twice Bobby's age. If the sum of thier ages is over 66 years.
What is the Johnny's minimum age?
The minimum age of Johnny is 21 as calculated by linear inequality.
Let Johnny 's age be x.
hence bobby's age = (x+5)/2
Now the sum of their ages is over 66 years.
So we will set an inequality to find the minimum age of Johnny.
x + (x+5)/2 > 66
or, 2x + x + 5 > 66
or, 3x > 61
or, x > 20 1/3
Therefore age cannot be fraction hence the minimum age of Johnny is 21 years.
In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On that number line, size comparisons between two numbers are typically done. Different notations can be used to represent various kinds of inequalities, including:
A is smaller than b, as shown by the symbol a < b.
When the expression a > b is employed, it means that a is greater than b.
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