The amount of money that each person would get for the three days of work is $92.
How much would each person get?The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.
Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day
= $93 + $75 +$108 =$276
The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.
The amount of money gotten by each person = total earnings / total number of people
$276 / 3 = $92
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Pls help & also give an easy explanation thank youuuuu
Given
A digital picture frame with a border of 3 cm. The actual length of the frame is x
Answer
a) The actual side of the picture is x-3
Area of picture
[tex]=(side)^2=(x-3)^2[/tex]b) Area of frame
[tex]x^2[/tex]c) Area of border = Area of frame - area of picture
[tex]x^2-(x-3)^2[/tex]May you tell me which equation you would choose to solve for one of the variables and explain please.
This is a simultaneous system of equations, we would need both equations, to solve for the variables.
we have
2x - 3y = 6 - ---i
x +7y = 2------ii
Let's modify equation ii, x +7y = 2 means x = 2 - 7y
Anywhere we see x in equation i, lets put in 2 - 7y instead
2( 2 - 7y) - 3y = 6
4 - 14y - 3y = 6
4 - 17y = 6
-17y = 2
y = -2/17
Lets put this result in equation ii
[tex]undefined[/tex]Please help by providing answers to these questions.
Graph of proportional relationship is given y =kx , answer of the following questions are as follow:
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
2. Variable represents the constant of proportionality is k.
3. The constant of proportionality is known as the scale factor.
4. The graph of y = kx is a line that passes through the origin.
8. y/x =7 represents the constant of proportionality.
9. Scale factor of the constant of proportionality of figure S to T is 1/4.
As given,
Graph represents proportional relationship is given by:
y = kx
⇒ k = y/x
Represents the multiplicative relationship between the variables y and x.
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
'k' is the scale factor represents the constant of proportionality.
2. Variable represents the constant of proportionality is k.
3. k is the scale factor.
4. y =kx
when x=0 ⇒ y =0 represents graph passes through origin.
8. y =kx ⇒y /x =k if k =7 then y/x =7 represents constant of proportionality.
9. 2/8 = 4.5/18= 3/12 =1.5/6 = 1/4
Scale factor of the constant of proportionality of figure S to T is 1/4.
Therefore, graph of proportional relationship is given y =kx , answer of the following questions are as follow:
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
2. Variable represents the constant of proportionality is k.
3. The constant of proportionality is known as the scale factor.
4. The graph of y = kx is a line that passes through the origin.
8. y/x =7 represents the constant of proportionality.
9. Scale factor of the constant of proportionality of figure S to T is 1/4.
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Write the equation of the line (in standard form) that goes through point (5,-1) and is parallel to the equation 3x + 2y =19.
The equation of the line that goes through the point (5, -1) and is parallel to the given equation is; 3x + 2y = -7.
What is the equation of the line that gOES through the point given and is parallel tomthe given equation?Recall from line geometry that parallel lines have equal slopes.
Therefore, by computing the slope of the equation given as follows; we have;
3x + 2y = 19.
By rearranging the equation in the slope-intercept form; y = mx + c; we have;
y = (-3/2)x + 19/2
Therefore, the slope of both lines is same and is; -3/2.
Therefore, By using the point slope equation of a straight line; (y - y1) = m (x - x1); we have;
(y - (-1)) = -3/2(x - 5)
2y + 2 = -3x - 5
3x + 2y = -7.
Ultimately, the required equation is; 3x + 2y = -7.
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I need help on a problem
As shown in the figure:
AB || CD
AD || CB
We need to prove AB = CD
So, the proof will be as follows:
Statements Reasons
0. AB || CD Given
,1. m∠BAC = m∠DCA Alternate angles are congruent
,2. AD || CB Given
,3. m∠BCA = m∠DAC Alternate angles are congruent
,4. AC = CA Reflexive property
,5. ΔBAC ≅ ΔDCA By A.S.A [angle-side-angle] postulate
,6. AB ≅ CD CPCTC
Which information will prove a quadrilateral is a square?O All 4 sides are congruentO All 4 sides are congruent and all 4 angles are right anglesO All 4 angles are right anglesO Both pairs of opposite sides are parallel
Answer
All 4 sides are congruent and all 4 angles are right angles
Step-by-step explanation
In a square, all the four sides measure the same (they are congruent). And the four angles are right angles, that is, they measure 90°
A media company wants to track the results of its new marketing plan, so the video production manager recorded the number of views for one of the company's online videos. The results of the first 5 weeks are shown in this table. Write an equation to model the relationship between the number of weeks, x, and the number of views, f(x). Enter the correct answer in the box by replacing the values of a and b.
ANSWER
[tex]f(x)=5120\cdot1.25^x[/tex]EXPLANATION
We want to write an equation that models the relationship between the number of weeks (x) and the number of views, f(x).
From the table, we see that the relationship of the two terms (number of views and number of weeks) is exponential.
The general form of an exponential function is given as:
[tex]f(x)=a\cdot b^x[/tex]where a = initial value
b = exponential factor
We have to find a and b.
We do this by replacing x and f(x) in the function with values from the table.
Let us use the first set of values:
[tex]\begin{gathered} 5120=a\cdot b^0 \\ \Rightarrow5120=a\cdot1 \\ \Rightarrow a=5120 \end{gathered}[/tex]We have found the value of a, now we can find the value of b by using another set of values from the table.
That is:
[tex]\begin{gathered} 6400=5120\cdot b^1 \\ 6400=5120\cdot b \\ \text{Divide both sides by 5120:} \\ b=\frac{6400}{5120} \\ b=1.25 \end{gathered}[/tex]Now, we have found a and b.
Therefore, the equation that models the relationship between number of views and number of weeks is:
[tex]f(x)=5120\cdot1.25^x[/tex]find the volume of a right circular cone that has a height of 4.3m and a base with a circumference of 17.6. round your answer to the nearest tenth
Answer:
Explanation:
The volume of a right circular cone can be found using the below formula;
[tex]V=\pi\times r^2\times\frac{h}{3}[/tex]where V = volume of the cone
r = radius of the base
h = height of the cone ne
Are all horizontal lines parallel? Explain your reasoning.
Two lines are parallel if they do not intersect at any point.
Another way of thinking on parallel lines is: two lines are parallel if they have the same slope.
On the other hand, all horizontal lines have the same slope, which is equal to 0.
Since all horizontal lines have a slope equal to 0, this means that all horizontal lines are parallel.
Therefore, the answer is: yes. All horizontal lines are parallel.
Notice: This is only valid in 2D.
Find the perimeter of each polygon. Assumethat lines which appear to be tangent aretangent.13)7.81118.4
Answer: We have to find the perimeter of the provided triangle, the perimeter would be the sum of sides, which would be as follows:
[tex]\begin{gathered} P=S_1+S_2+S_3 \\ P=7.8+18.4+11 \\ P=37.2 \end{gathered}[/tex]Eighth grad Checkpoint: Understand functions 6NP Which of these relations are functions? Select all that apply. X y 20 -12 12 9 17 2 2013 11 14 -7 3 6 -8 15 16 6 -18 16 15 9 20 15 -9 -5 12 -13 4 20 -18 10 17 13 2. 8 15 Submit
In a function, any x-value is related to at most 1 y-value.
In the first table, x = 20 and x = 17 are related to 2 different y-values. Then, it is not a function.
In the second table, x = 9 is related to 2 different y-values. Then, it is not a function.
The third and fourth tables are functions
please help me it’s do tomorrow 1) Discrete or Cont?
Domain
Range
Function?
The correct options regarding each function are as follows:
1.
Continuous.Domain: {-3, 2}.Range: (-∞,∞).Function: No.2.
Continuous.Domain: (-5,5]Range: [-2,2]Function: Yes.3.
Continuous.Domain: (-∞,∞).Range: (-∞,∞).Function: Yes.4.
Continuous.Domain: (-∞,∞).Range: {3}Function: Yes.5.
Discrete.Domain: {-5, -4, 1, 2, 5}.Range: {-5,0,1,4}.Function: Yes.6.
Continuous.Domain: (-∞,4].Range: [0,∞).Function: Yes.Continuous and discreteThe graph is classified as continuous or discrete as follows:
Continuous: solid line.Discrete: set of points.Hence only function 5 is discrete, the other are all continuous.
Domain and range:In the graph of a function, the domain and the range are given as follows:
Domain: values of x -> set of input values.Range: values of y -> set of output values.Hence the domain and the range for the functions in this problem are given as follows:
1.
Domain: {-3, 2}. -> two vertical lines, one at x = -3 and the other at x = 2.Range: (-∞,∞).2.
Domain: (-5,5] -> open interval due to the open circle at x = -5.Range: [-2,2]3.
Domain: (-∞,∞).Range: (-∞,∞).4.
Domain: (-∞,∞).Range: {3} -> constant function at y = 3.5.
Domain: {-5, -4, 1, 2, 5}. -> discrete function, hence both the domain and the range contain only those exact values, not an interval.Range: {-5,0,1,4}.6.
Domain: (-∞,4].Range: [0,∞).When does a graph represent a function?A graph represents a function if it has no vertically aligned points, that is, each input is mapped to only one output.
Hence only item 1 is not a function, as the two inputs x = -3 and x = 2 are mapped to multiple outputs.
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The length of a rectangle is 3in longer than its width.If the perimeter of the rectangle is62in , find its length and width.
We will have the following:
[tex]\begin{gathered} p=2(l+w) \\ \\ and \\ \\ l=w+3 \\ w=w \end{gathered}[/tex]So:
[tex]\begin{gathered} p=2(l+w)\Rightarrow p=2(w+3+w) \\ \\ \Rightarrow p=2(2w+3)\Rightarrow p=4w+6 \end{gathered}[/tex]Then we will have that:
[tex]\begin{gathered} 62=4w+6\Rightarrow4w=56 \\ \\ \Rightarrow w=14 \end{gathered}[/tex]So, the width is 14 inches and the length will then be 17 inches.
A governor has been working to decrease the unemployment rate but it has gone up by 3%. In an effort to undermine the governor, a media outlet releases a bar graph comparing the unemployment rate before and after the governor took office.Which of the following tactics did the media outlet use to create this graph?A. Comparison chartsB. SizingC. Missing informationD. Axis and scaling manipulation
From the given graph, let's determine the tactics which the media outlet used to create the graph.
From the graph, we can see that the scaling of the y-axis was manipulated.
The numbers in the y-axis starts from 8%, while a normal graph is suposed to start from 0%.
Although the graph is correct, but the scaling of the y-axis is misleading. This is because when you look at the graph, you will think there is a major difference between unnemployment before and unemployment after.
Therefore, the tactics the media outlet used to create this graph can be said to be Axis and Scaling manipulation.
Axis and scaling manipulation is a method used in producing misleading graphs to make the data look worse or better than it actually is. This method leads to incorrect conclusions,
ANSWER:
D. Axis and Scaling manipulation.
between 1993 and 1996 there were 6545 injured during horse races find the ratio of injured per year
First, we have to calculate the years passed between 1993 and 1996:
1996-1993 = 3 years
Now divide the number of injured during horse races (6545) by the number of years (3)
6545 /3
2,182 injured per year
61 less than twice vidy's score
We are given the following word problem
"61 less than twice Vidy's score"
Let us translate the word problem into an algebraic expression
Let v represents Vidy's score
twice Vidy's score means 2 times v
61 less than means to subtract 61 from 2 times v
So, the algebraic expression becomes
[tex]2v-61[/tex]kName:ID:06/22/1973Time Remaining:00:55:49Teresa KundrataA car costs $14,000. The loan company hasasked for 1/10 of the cost of the car as adown payment what the down payment
Given:
The cost of the car is $14,000.
Then 1/10 of the cost of the car is
[tex]\frac{1}{10}\times14000=1400[/tex]Hence, the down payment is $1400.
in the lab Dale has two solutions that contain alcohol and is mixing them each other.she uses four times as much solution A as solution B.solution a is 20% of alcohol and solution B is 15% of alcohol. how many milliliters of solution B does he use, if the was resulting mixtures has 570 milliliter of pure alchohol.number of milliliters of solution B__?
Let:
• A ,be the number of millilitres (mL) of solution A used.
,• B ,be the number of mL of solution B used.
We know that Dale uses four times as much solution A as solution B, meaning
[tex]A=4B[/tex]Now, we know that we will end up with 570 mL of pure alcohol in the final solution. Using the dilution of both A and B (20% means 0.2 and 15% is 0.15) we would have that:
[tex]0.2A+0.15B=570[/tex]We would have the following system of equations:
[tex]\begin{cases}A=4B \\ 0.2A+0.15B=570\end{cases}[/tex]Substituting equation 1 in equation 2 and solving for B :
[tex]\begin{gathered} 0.2A+0.15B=570 \\ \rightarrow0.2(4B)+0.15B=570 \\ \rightarrow0.8B+0.15B=570 \\ \rightarrow0.95B=570\rightarrow B=\frac{570}{0.95} \\ \Rightarrow B=600 \end{gathered}[/tex]Substituting in equation 1 and solving for A:
[tex]\begin{gathered} A=4B \\ \rightarrow A=4(600) \\ \Rightarrow A=2400 \end{gathered}[/tex]This way, we can conclude that 2400 mL of solution A and 600mL of solution B were used.
Estimate. Then find the quotient. Round to the nearest thousandth.24.752:6Estimate=Quotient =
Estimate = 4.13
Quotient = 4.12533333
To the nearest thousand 4.12533
PLS HELP Rewrite the following equation in slope-intercept form.
y + 8 = –3(x + 7)
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex] \sf \: y = -3x - 29[/tex]
Step-by-step explanation:
Given equation,
→ y + 8 = -3(x + 7)
The slope-intercept form is,
→ y = mx + b
Let's rewrite the equation,
→ y + 8 = -3(x + 7)
→ y + 8 = -3x - 21
→ y = -3x - 21 - 8
→ [ y = -3x - 29 ]
Thus, answer is y = -3x - 29.
If 25% of your math class received an A, how many students were in your math class if 9students earned an A for the semester?
Answer:36
Step-by-step explanation:
Assume the total number of students to be x
According to the question
25% of x =9
⇒x=900/25=36
cuales son los dos numeros enteros cuyo producto es 294 y cuyo cociente es 6?
1.- You need two equations
- x*y = 294
- x/y = 6
2.- Solve for x
x = 6y
(6y)y = 294
3.- Simplifying
6y^2 = 294
-Solve for y
y^2 = 294/6
Find the rule for the following sequence. Then find the 45th term.
Answer:
[tex]a_{45}=221[/tex]Step-by-step explanation:
Arithmetic sequences are represented by the following equation;
[tex]\begin{gathered} a_n=a_1+(n-1)d \\ where, \\ a_1=\text{ first term} \\ d=\text{ common difference} \\ n=\text{ nth term} \end{gathered}[/tex]The common difference is the difference between the consecutive terms:
[tex]\begin{gathered} d=6-1=5 \\ d=11-6=5 \\ d=16-11=5 \end{gathered}[/tex]Therefore, the equation that represents this sequence:
[tex]a_n=1+5(n-1)[/tex]Now, if we want to find the 45th term, substitute n=45:
[tex]\begin{gathered} a_{45}=1+5(45-1) \\ a_{45}=1+5*(44) \\ a_{45}=1+220 \\ a_{45}=221 \end{gathered}[/tex]Find the rational number halfway between and 1/6 and 3/4
In order to find the middle number between them we can simply add them together and divide the result by 2 as follows:
[tex]\begin{gathered} \frac{1}{6}+\frac{3}{4}=\frac{11}{12} \\ Now_{\text{ }}divide_{\text{ }}by_{\text{ }}2: \\ \frac{11}{12}\div2=\frac{11}{24} \end{gathered}[/tex]Answer:
11/24
as the x increases by 1, what will the rate of change for y in this equation y=-3x+10
Answer:
Rate of change = -3
Explanation:
Given the equation:
[tex]y=-3x+10[/tex]When x=1
[tex]\begin{gathered} y=-3(1)+10 \\ =-3+10 \\ =7 \end{gathered}[/tex]When x=2
[tex]\begin{gathered} y=-3(2)+10 \\ =-6+10 \\ =4 \end{gathered}[/tex]Observe that the value of y decreases by 3 as the x increases by 1.
Thus, the rate of change is -3.
Alternate Route
Another way is to express and compare the line with the slope-intercept form:
[tex]\begin{gathered} y=mx+b \\ y=-3x+10 \end{gathered}[/tex]The rate of change is the coefficient of x.
Coefficient of x = -3
Thus, the rate of change is -3.
Which situation represents a proportional relationship?
O Renting a movie for $2 per day
O Renting a movie for $2 per day with a coupon for $0.50 off for the first day
O Renting a movie for $2 per day along with paying a $5 membership fee
O Renting a movie for $2 for the first day and $1 for each day after the first day
As they are in the right ratio, option D, "Renting a movie for $2 for the first day and $1 for each day after the first day," demonstrates a proportionate relationship.
Proportional Relationship
When two variables' ratios are equivalent, proportional relationships between them emerge. The fact that one variable is consistently equal to the constant value of the other in a proportional connection is another way to think of them. This constant is known as the "constant of proportionality."
Ratio
In mathematics, a ratio shows how frequently one number appears in another. For instance, the ratio of apples to mangos in a bowl of fruit would be nine to six if there were nine apples and six mangos. Apples make up 9:15 of the entire fruit, whereas Mangos make up 6:9 of the total fruit.
Option D, "Renting a movie for $2 for the first day and $1 for each day after the first day," illustrates a proportional relationship because the ratio is correct
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concetta had a 2kg bag of flour. she used 180g of flour to make biscotti. how many kilograms of flour are left in the bag?
Answer
The amount of flour left in the bag = 1.82 kg
Explanation
Concetta had 2 kg of flour.
She uses 180 g of the flour to make biscotti.
We are then asked to calculate how much flour is left in kilograms.
Amount of flour left = (Initial Amount of flour) - (Amount of flour used)
Initial amount of flour = 2 kg
Amount of flour used = 180 g = 0.18 kg
Amount of flour left = (Initial Amount of flour) - (Amount of flour used)
Amount of flour left = 2 - 0.18 = 1.82 kg
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10 ft to 8 ft The percent of change is
The percent of change is computed as follows:
[tex]\text{percent of change = }\frac{new\text{ value }-previous\text{ value}}{previous\text{ value}}\cdot100[/tex]Substituting with data:
[tex]\begin{gathered} \text{ percent of change = }\frac{8-10}{10}\cdot100 \\ \text{ percent of change =}-20\text{ \%} \end{gathered}[/tex]Option 1: Piecewise Defined Functions
A t-shirt company is looking to buy t-shirts from a distributor. They are trying to decide which distributor would be best for them when they buy about 80 shirts for their weekly order. Justify your answer with a piece wise function and discuss what you would do if you were in charge. A review on this topic can be found in the Instruction of Piecewise Defiined functions slide 15.
Company 1:
Shirts are $11 a piece for the first 100. After the first 100 each additional shirt is $7.50.
Company 2
$12 a piece for the first 50, $9.50 each additional shirt.
Answer:
-105$
Step-by-step explanation:
Minnesota fell from 48 degrees to -12 degrees over a 24 hour period. what was the average temperature change per hour?
We have to calculate the average temperature change per hour.
We know that the temperature drops from 48 degrees to -12 degrees in 24 hours.
To calculate the average change, in degrees per hour, we calculate the ratio between the variation of the temperature and the interval of time.
We can expres this as:
[tex]v=\frac{\Delta T}{t}=\frac{T_f-T_i}{t}=\frac{-12-48}{24}=\frac{-60}{24}=-2.5[/tex]Answer: The average change in temperature is -2.5 degrees per hour.