Answer:
Hello! I'm currently doing the test right now on e d g e n u i t y 2/28/2022 and I believe that the right answer is: m<X = 140 and m<Y = 94
Step-by-step explanation: Sorry if I'm wrong.
:)
The pair of measurements that are possible in congruent quadrilaterals are Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees.
Explanation:Quadrilateral WXYZ is congruent to quadrilateral RSTQ if their corresponding angles are congruent. Let's compare the measurements of the angles in both quadrilaterals:
Angle R in RSTQ = 140 degrees, Angle W in WXYZ = 47 degreesAngle S in RSTQ = 94 degrees, Angle X in WXYZ = 94 degreesAngle T in RSTQ = 79 degrees, Angle Z in WXYZ = 79 degreesAngle Q in RSTQ = 47 degrees, Angle Y in WXYZ = 140 degreesTherefore, the pair of measurements that are possible in congruent figures are:
Measure of angle X = 94 degrees and Measure of angle Z = 79 degreesA circus charges $2.50 for kids tickets and $6 for adult’s tickets. Last weekend, twice as many kids attended the circus than adults. If the ticket sales totaled $7,150, how many kids attended the circus?
The number of kids attending the circus is 1300.
Let's denote:
- ( K ) as the number of kids attending the circus.
- ( A ) as the number of adults attending the circus.
Given:
- The price of a kid's ticket is $2.50.
- The price of an adult's ticket is $6.
- The total ticket sales is $7,150.
- The number of kids attending the circus is twice the number of adults.
We can set up a system of equations based on the given information:
1. The total ticket sales:
[tex]\[ 2.50K + 6A = 7150 \][/tex]
2. The number of kids attending the circus is twice the number of adults:
[tex]\[ K = 2A \][/tex]
Now, we can solve this system of equations.
We can substitute the expression for ( K ) from equation 2 into equation 1:
[tex]\[ 2.50(2A) + 6A = 7150 \][/tex]
[tex]\[ 5A + 6A = 7150 \][/tex]
[tex]\[ 11A = 7150 \][/tex]
Now, solve for ( A ):
[tex]\[ A = \frac{7150}{11} \][/tex]
[tex]\[ A \approx 650 \][/tex]
So, the number of adults attending the circus is approximately 650.
Now, we can find the number of kids attending the circus using the expression we found for ( A ) in terms of ( K ):
[tex]\[ K = 2A \][/tex]
[tex]\[ K = 2 \times 650 \][/tex]
[tex]\[ K = 1300 \][/tex]
So, the number of kids attending the circus is 1300.
Identify the x-intercept and y-intercept of a line with the equation -3x+6y=12 and use these points to graph the line below.
Answer:
x-intercept: -4
y-intercept: 2
Step-by-step explanation:
ax+by=c
divide c by a and then c by b
-3x+6y=12
X-intercept: 12/-3= -4
Y-intercept: 12/6=2
Answer:
Step-by-step explanation:
if ur gonna graph it, u should put it in y = mx + b form
-3x + 6y = 12
6y = 3x + 12
y = 3/6x + 12/6
y = 1/2x + 2
in y = mx + b form, the slope is in the m position, and the y int is in the b position.
y = mx + b
y = 1/2x + 2.....so ur slope (which will help u in graphing) is 1/2, and ur y intercept is 2 or (0,2) <===
u could also find ur y intercept by subbing in 0 for x and solving for y...in ur original equation.
to find ur x intercept, sub in 0 for y and solving for x
-3x + 6y = 12
-3x + 6(0) = 12
-3x = 12
x = -12/3
x = -4...so ur x int is -4 or (-4,0) <=====
What is the slope of the line represented by the equation y =
x - 3?
Answer:
The slope of the line is: 1
The y-intercept is: -3
You can graph the line using the slope and y-intercept, or two points.
Answer:
1.
Step-by-step explanation:
The general form of a line is y = mx + c where m = the slope.
y = x - 3
or we can write it as y = 1x - 3
- so the slope is 1.
There are 6 buses going on a field trip. There are 30 students on each bus. When they get to the park 42 students when to the slides. 28 students went to the swings. 39 students went to the grassy area to eat lunch. How many students are left?
Answer:
There are 71 students that are left
Step-by-step explanation:
Let's calculate the number of students left this way:
Total students = 30 * 6 = 180
Students that went to the the slides = 42
Students that went to the the swings = 28
Students that went to the the swings = 39
Students left = Total students - Students that went to the the slides - Students that went to the the swings - Students that went to the the swings
Replacing with the real values, we have:
Students left = 180 - 42 - 28 - 39
Students left = 180 - 109
Students left = 71
A and B are two events.
Given that P(A)=0.25 , P(B)=0.3 and P(AandB)=0.05 .
Drag and drop the answers into the boxes.
Events A and B are not independent because [tex]P(A / B) \neq P(A)[/tex]
Step-by-step explanation:
Given that [tex]P(A)=0.25[/tex], [tex]P(B)=0.3[/tex] and [tex]P(A \text { and } B)=0.05[/tex]
Two events are said to be independent events, if it satisfies any one of the following conditions,
[tex]P(A / B) = P(A)[/tex] or [tex]P(B / A) = P(B)[/tex] or [tex]P(AB)=P(A)P(B)[/tex]
First, let us substitute the values in the equation [tex]P(A / B) = P(A)[/tex]
The formula to find [tex]P(A / B)[/tex] is [tex]P(A / B)=\frac{P(A \cap B)}{P(B)}[/tex]
Substituting the values, we get,
[tex]P(A / B)=\frac{0.05}{0.3} =0.1667[/tex]
But [tex]P(A)=0.25[/tex]
Hence, [tex]P(A / B) \neq P(A)[/tex]
Thus, A and B are not independent events.
Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water in this per hour?
Which situation is best represented by the following equation?
40w + 12.50 = 492.50
A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
B) Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
C) Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
D) Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
Eliminate
Final answer:
The equation 40w + 12.50 = 492.50 best represents Nicole paying $40 per week for self-defense classes, plus a one-time registration fee of $12.50, totaling $492.50.
Explanation:
The situation best represented by the equation 40w + 12.50 = 492.50 is option A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Here, w represents the number of weeks Nicole was enrolled in self-defense classes. The equation can be understood as follows: $40 is multiplied by the number of weeks (w), and $12.50 is added for the registration fee, summing to a total of $492.50.
There are 3 consecutive integers with a sum of 18. Which integers are they?
Answer:
5, 6, 7
Step-by-step explanation:
5+6+7=18
Answer:
5+6+7
Step-by-step explanation:
Intergers: Three consecutive integers)
18 = (X-1) + (X) + (X+1)
18 = 3X
X = 6
SUbstitute =
(6-1) + (6) + (6+1)
5+6+7
= 18
mon Core Algebra I A-CR
The graph of f(x) = (x - h\ + k contains the points (-6, -2)
and (0, -2). The graph has a vertex at (h, -5). Describe
how to find the value of h. Then, explain how this value
translates the graph of the parent function.
Answer:
h = -3
The value h = -3 translates the graph of the parent function [tex]y=x^2[/tex] 3 units to the left.
Step-by-step explanation:
The graph of [tex]f(x)=(x-h)^2+k[/tex] contains the points (-6, -2) and (0, -2).
This is the equation of parabola in vertex form, where [tex](h,k)[/tex] are the coordinates of the vertex.
If the graph has a vertex at [tex](h,-5),[/tex] then [tex]k=-5.[/tex]
So, the equation of the parabola is
[tex]f(x)=(x-h)^2-5[/tex]
If the graph passes through the points (0,-2) and (-6,-2) (these two points lie on the same horizontal line y = -2), then the parabola vertical line of symmetry divides the segment between these points into two congruent segments. Hence, the equation of the line of symmetry is
[tex]x=\dfrac{0+(-6)}{2}=-3[/tex]
The vertex lies on the line of symmetry, so its x-coordinate is -3. Thus, (-3,-5) is the vertex.
The value h = -3 translates the graph of the parent function [tex]y=x^2[/tex] 3 units to the left.
Answer:
Sample Response: The absolute value function is symmetric. Since the points (–6, –2) and (0, –2) have the same output, the points are the same distance from the line of symmetry. Between –6 and 0 is the value of –3. So, the vertex must have an x-coordinate of –3, which is the value of h. This would translate the graph of the parent function 3 units to the left.
The sum of the first 46 postive and odd numbers is
The sum of first 46 positive and odd numbers is 2116
Solution:
Given that we have to find the sum of first 46 positive and odd numbers
The sum of first "n" natural odd numbers which are positive is given as:
[tex]Sum = n^2[/tex]
Here, n = 46
Therefore,
sum of first 46 positive and odd numbers = [tex]46^2[/tex]
sum of first 46 positive and odd numbers = [tex]46 \times 46 = 2116[/tex]
Thus the sum of first 46 positive and odd numbers is 2116
After 2 weeks of training Amanda learned a total of 5 appetizer recipes after 6 weeks of training how much appetizers will she learn?
Amanda learns 2.5 recipes per week, so over 6 weeks of training, she would be expected to learn 15 appetizer recipes.
Explanation:To establish the rate of Amanda learning new appetizer recipes, we need to determine the relationship between time (in weeks) and the number of recipes she learned. After 2 weeks of training, she learned 5 recipes, so we can assume that she learns at a rate of 5 recipes per 2 weeks, or 2.5 recipes per week.
Consequently, to estimate how many recipes she will learn after 6 weeks, we multiply the rate by the amount of weeks, which is: 2.5 recipes per week * 6 weeks = 15 recipes. Therefore, Amanda would be expected to learn 15 appetizer recipes after 6 weeks of training.
Learn more about Rate Calculation here:https://brainly.com/question/16549128
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Gorillas and chimpanzees can learn language to communicate with humans. By 2017 , a gorilla named Koko had learned 700 words. This was 50 fewer than 5 times as many as a chimp named Washoe knew a decade earlier. How many words did Washoe know?
Answer:
130
Step-by-step explanation:
700 - 50 = 650
650/5 = 130
Answer:
150 words
Step-by-step explanation:
k = 700....koko knows 70 words
k = 5c - 50....this is 50 fewer then 5 times the chimps(c)
5c - 50 = 700
5c = 700 + 50
5c = 750
c = 750/5
c = 150 <=== the chimp, Washoe, knew 150 words
Which expression are equivalent 10
Answer:
I believe the answer to this question is: B.
Answer: The first part is the 2nd & 4th.
The second part is the 1st & 3rd.
Step-by-step explanation:
Edge 2021
While traveling to his grandma for his George fell asleep a fifth of the way through the journey when he awoke he still had to travel a quarter of the distance that he had traveled while sleeping. For what part of the journey had he been asleep
Answer:
George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
George fell asleep a fifth of the way
He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping
2. For what part of the journey had he been asleep?
George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma
When he awoke up = 1/4 * 4/5 = 1/5
He had been asleep = 5/5 - 1/5 -1/5 = 3/5
It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma
What is the slope of the line that passes through the points (4,8) and (2,12)?
Answer: m = -2
Step-by-step explanation: Using our slope formula, we take the second y minus the first y which in this case is 12 - 8 over our second x minus our first x which in this case is 2 - 4.
So 12 - 8 is 4 and 2 - 4 is -2. So we have 4/-2 which can be simplified to -2.
The variable that's used to represent slope is m.
So we would say m = -2.
Work is provided in the image attached.
A TUB USES 20 GALLONS. a shower uses 15 gallons. if 40 people take a bath instead of a shower, how much extra water is used?
Answer:
200 additional gallons of water are used when 40 people take a bath instead of a shower
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of water used when we take a bath = 20 gallons
Amount of water used when we take a shower = 15 gallons
Number of people who wants to take a bath = 40
2. How much extra water is used?
Extra water is used = Number of people * (Amount of water used when we take a bath - Amount of water used when we take a shower)
Replacing with the real values, we have:
Extra water is used = 40 * (20 - 15)
Extra water is used = 40 * 5 = 200 gallons
How many solutions does this system of equations have?
y = –2x + 3
y = –2x – 1
Answer:
Step-by-step explanation:
in y = mx + b form, the slope is in the m position and the y int is in the b position
y = -2x + 3.....slope is -2 and y int is 3
y = -2x - 1...slope is -2 and y int is - 1
same slope, different y int's....means parallel lines...NO SOLUTION
learn this...it helps
same slope, different y int's = no solution
different slopes, different y int's = 1 solution
same slope, same y int's = infinite solutions
Final answer:
The given system of equations represents two parallel lines with the same slope and different y-intercepts, implying there are no solutions where the lines intersect.
Explanation:
The system of equations provided is:
y = –2x + 3
y = –2x – 1
These two equations represent two separate lines. To determine the number of solutions to the system, we observe the slopes of the two lines. Both equations have the same slope of –2. Because they have the same slope but different y-intercepts, these two lines are parallel and will never intersect. Therefore, the system has no solutions.
What is the LCM of 2 and 5?
Answer:
Step-by-step explanation:
10
Answer:
10Step-by-step explanation:
Since 2 and 5 are co-prime then
LCM(2 , 5) = 2×5 = 10
:)
What value of x is in the solution set of 2(3x - 1) = 4x - 6?
Answer:
x=-2
Step-by-step explanation:
[tex]2(3x - 1) = 6x - 2 = 4x - 6 \\ 2x = - 4 \\ x = - 2[/tex]
If you are solving for x in the diagram shown, which fact would help you to set up the problem? A) Tangents touch a circle in exactly one point. B) Chords that intercept congruent arcs are congruent to each other. C) Tangent segments from the same point outside the circle are congruent. D) The product of the segments formed by intersecting chords are congruent.
Answer:
Tangent segments from the same point outside the circle are congruent. This Geometric Theorem allows you to set up the problem and solve for x.
Step-by-step explanation:
Answer:Tangent segments from the same point outside the circle are congruent. (c) i got it right on USATESTPREP
11/3 divided by what equals 11 it has to be a fraction
Answer:
1/3
Step-by-step explanation:
We can solve using algebra: let x be the unknown number.
so 11/3 ÷ x = 11.
Solving:
11/3 = 11x.
x = 11/3 ÷11 = 1/3
You can also check the answer by going:
11/3 ÷ 1/3 = 11/3 x 3/1 = 33/3 = 11 (using fraction rules for multiplying and dividing ie. to divide by a fraction we multiple by it's reciprocal, and to multiply by a fraction, we multiple the numerators and the denominators).
11/3 divided by 1/3 so that it will be equals to 11.
When facing a division problem like 11/3 divided by what equals 11, we need to find a number which, when 11/3 is divided by it, gives us the result of 11. To solve this, let's set up an equation where the unknown number is represented by a variable, such as 'x':
11/3 ÷ x = 11
To find 'x', we need to isolate it. This can be done by multiplying both sides of the equation by 'x', and then dividing both sides by 11 to solve for 'x'.
(11/3) ÷ x = 11
(11/3) ÷ x × x = 11 × x
11/3 = 11x
Now we divide both sides by 11 to get:
x = (11/3) ÷ 11
x = 1/3
So, the fraction that you must divide 11/3 by to get 11 is 1/3.
Lindsey went to the teacher supply store. She bought 10 white boards for a total of $35 and some posters for $5.40 each. If she spent $51.20 total, how many posters did lindsey buy
Answer:3
Step-by-step explanation:
Answer:
Lindsey bought 3 posters.
Step-by-step explanation:
$51.20 - $35 = $16.20
$16.20 ÷ $5.40 = 3 Posters
The area of triangle with a base of 4 meters and a height of 5 meters
Answer:10
Step-by-step explanation:
4 x 5 = 20
20/2 or 20 x 1/2
= 10
Answer: 10 meters squared
Step-by-step explanation:
You find the area of a triangle by doing base x height ÷2 therefore 4x5=20÷2=10
Twyla puts $1000 in a saving account that pays 4% interest, compounded monthly. How much money will in the account 11 years later if she makes no more deposits?
Answer:
$1551.57
Step-by-step explanation:
Each month, the account balance is multiplied by 1+.04/12, so after 132 months, it will be ...
$1000×(1 +.04/12)^132 ≈ $1551.57
Hugo is saving for a new baseball
Answer:
Step-by-step explanation:
What's the question?
If 13 is added to a number and the sum is doubled the result is -10 less than the number
Equation for solving: (13+x)2= -10-x
Step one: 26+2x=-10-x
step two: 26+3x=-10
step three: 3x=-36
answer: -12
My age is the difference between twice my age in 5 years and twice my age 5 years ago
Answer:
10
Step-by-step explanation:
In a vial containing 5/6 parts, you withdraw 1/12. How many parts remain?
If 7 notepads cost $3.15, what is the unit price of the notepads?
Answer:
$0.45
Step-by-step explanation:
Unit price is basically the same as unit rate. Unit rate is the cost of one item.
So $3.15 divided by seven is point fourty-five.
Answer: 45 cents
Step-by-step explanation: Unit price means the cost per unit. In this case, the cost per notepad.
Since we know that it costs $3.15 for 7 notepads, to find the cost for 1 notepad, we need to divide 7 into $3.15 or 7 into 3.15.
I used long division wish I have shown in the image attached and ended up with .45 which means that each notepad costs 45 cents.
So the unit price for 7 notepads is 45 cents.
WHAT IS (50-2*5)+16/16