NEED HELP ASAP!!! A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs best models the situation? a. Line joining ordered pairs 0, 10 and 15, 0. Shade the portion of the graph below this line which lies within the first quadrant b. Line joining ordered pairs 0, 10 and 15, 0. Shade the portion of the graph above this line which lies within the first quadrant c. Line joining ordered pairs 0, 15 and 10, 0. Shade the portion of the graph below this line which lies within the first quadrant d. Line joining ordered pairs 0, 15 and 10, 0. Shade the portion of the graph above this line which lies within the first quadrant
Answers
Answer:
Step-by-step explanation:
3y+2x=30
3y = 30-2x
y=30/3 - 2/3x
y=10-2/3x
now plug in the options
1) 0,10 and 15,0
y=10-2/3*0 where x is 0 and thus y equals y=10-0 --> y =10
For (15,0), y=10-2/3*15 which becomes y=0 so the (15,0) pair works
Which mean line joining 0,10 and 15,0 fits the equation. Now since we want to stay below the $30, area below it is what will get them to stay within budget
Related Questions
7 kilometers - 2,000 meters (put your answer in kilometers)
Answers
Answer:
Conversion factor: 7 km = 2000m
1) Kilometer = Meter = 1000
2) Kilometer = 7000 – 2000
3) Kilometer = 5
#Hope it helps!!
1 kilometer is 1,000 meters, so 7 kilometers is 7,000 meters. 7,000-2,000=5,000 meters. Then move the decimal point to the left 3 times, to convert it back to kilometers. 5 kilometers.
An alternative is to make the meters into kilometers beforehand. So move the decimal point in 2,000 meters three times to the left to get 2 kilometers. Then subtract 2 kilometers from 7 kilometers to get 5 kilometers.
How do you simplify rational expressions
Answers
Answer:
Ok so,
Step-by-step explanation:
Step 1: Factor the numerator and the denominator.
Step 2: List restricted values.
Step 3: Cancel common factors.
Step 4: Reduce to lowest terms and note any restricted values not implied by the expression.
PLZ HELPPP 8th grade. there's a attachment. the choices are, Which piece of information does not represent the same information as the other three parts? word problem equation graph table
Answers
Answer:
table
Step-by-step explanation:
it is the only one where y is not the cost instead it is the # of tickets
Use the translation (x,y) (x + 1, y - 3) to graph the image of triangle DEF
Represent graphically triangle DEF and D'E'F.
Due in 20 minutes pls answer asap
Answers
Answer:312357
Step-by-step explanation:
Answer:
The middle one.
Step-by-step explanation:
For every coordinate, add 1 to x-axis and add (-3) to the y-axis
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
PLEASEE help me!!!!!!
Answers
Answer:20Y*X
Step-by-step explanation:
The explanation is that she gets 20 dollars each month is simple you just read the graph.
The check register shows the transaction in ms. Garcia's checking account. she open the account on October 3 /based on the information in the check register, what is the balance in ms. Garcia's check register after the ATM transaction on October 11
Answers
If it's about currency amount, then it should be about $2,095..
Answer:
Its an answer :O
Step-by-step explanation:
GET SMARTER
Shauna borrows $400 from her parents to buy a phone. She agrees to pay them back plus 4% simple interest over one year
Which equation represents the total amount Shauna will owe her parents?
Let t represent the total amount owed.
1Points
A
t = 1.04 + 400
B
t = 0.04 + 400
C
t = 400 + 400(0.04).
Answers
Answer:
C
Step-by-step explanation:
t = 400 + 400(0.04)
Line segments AB and CD intersect at point E. Ray EF extends from point E.
Find the value of x. Then find the measures of angles CEF and BEF
Answers
Answer:
x=29 CEF=103 BEF=58
Step-by-step explanation:
161=3x+16+2x
5x=145
x=29
Which of the following is true? (1 point)
|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|
whoever is smart enough gets brainliest >:))
Answers
explaintion
|-4| = 4
and |-3| = 3
and 3<4
Which pair of points forms a vertical line segment that is 4 units long? A. (–3, 5) and (–7, 5) B. (3, –8) and (3, –4) C. (2, 1) and (2, 3) D. (2, 4) and (–2, 4)
Answers
Answer: (-7,5) and (-3,5) :) there for answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Joaquin also kept track of players and winners for his game during the fair. Based on the results shown in the table, how many winners should he expect if 300 people play his game?
Answers
I hope this helped! also I love your pfp!!!!!!!
Answer:
51 winners out of 300 players
Three students each examine the system of linear equations shown.
8x+4y=16
8x+2y=8
Caleb says there is exactly one solution. Jeremy says there is no solution. Kim says there are infinitely many solutions.
Answers
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Given the equation:
8x + 4y = 16 (1)
8x + 2y = 8 (2)
Solving equation 1 and 2 simultaneously gives:
x = 0, y = 4
Caleb is right because there is exactly one solution at (0, 4).
Answer:
The solution is (0, 4), and there is only one solution
Step-by-step explanation:
Let's actually solve the system if that's possible. Solving the second equation for 8x, we get 8x = 8 - 2y. Substituting this result into the first equation eliminates y:
8 - 2y + 4y = 16,
which simplifies to 2y = 8 and then y = 4.
Substituting 4 for y in the second equation yields 8x + 2(4) = 8, so we can quickly deduce that x = 0.
The solution is (0, 4), and there is only one solution
Triangle FEG is similar to triangle IHJ. Find the value of x.
PLEASE ANSWER!!!!
Answers
Answer:
x=24
Step-by-step explanation:
60/45=36/x+3
4/3=36/x+3
108=4x+12
96=4x
x=24
Answer:
24
Step-by-step explanation:
the triangle on the left has dimensions 1.25x greater than the one on the right, because the bottom side of the triangle measures 45 units, but it measures 60 on the right. knowing this you can find that the side length on the left of the right triangle is 27, so x + 3 must be 27. x=24
Write the expression:
subtract 10 from r, then double the result
Answers
Answer: (q + 10) - r
Step-by-step explanation:
2(r-10)
40 points to whoever get these right!! <3
Answers
{11, 14, 22}
Step-by-step explanation:Triangle Inequality Theorem states that two sides of a triangle must be greater than the third side.
Using this method, the answer is {11, 14, 22} because 11+14>22, 11+22>14, and 14+22>11
[2] Answer:x = 67°
Step-by-step explanation:Same-side interior angles are supplementary.
x° + 113° = 180°
x° = 180° - 113°
x = 67°
[3] Answer:r = 2°
Step-by-step explanation:The little box represents 90 degrees, meaning that these angles are complementary.
9r + 2° + 70° = 90°
9r + 72° = 90°
9r = 18°
r = 2°
word word
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
12.5
Step-by-step explanation:
5=38
x=57
38/5=7.6 meaning she runs a 7.6 minute mile.
now multiply up until you get closest to 57. 7.6 x 7.5=57 5+7.5=12.5 miles
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Tennis Soccer Baseball Basketball
Number of Students 12 44 17 27
Which of the following graphs correctly displays the data?
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled tennis going to a value of 12, the third bar labeled basketball going to a value of 27, and the fourth bar labeled soccer going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled tennis going to a value of 17, the second bar labeled soccer going to a value of 12, the third bar labeled baseball going to a value of 27, and the fourth bar labeled basketball going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled soccer going to a value of 17, the second bar labeled tennis going to a value of 12, the third bar labeled basketball going to a value of 27, and the fourth bar labeled baseball going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled soccer going to a value of 17, the second bar labeled tennis going to a value of 12, the third bar labeled basketball going to a value of 27, and the fourth bar labeled baseball going to a value of 44
Answers
Answer: A - first answer (about bar graph)
Step-by-step explanation:
Bar graph (not histogram) because the data isn't a frequency, just a category and numerical data.
The data matches us with the first possible answer choice, so that is correct. (The 3rd choice is also a bar graph, but the data is mixed up.)
Hope this helped!
p/4 + 6 = 8
what number is p
i need an answer with a step by step explaniation please
Answers
Multiply both sides of the equation by 4.
p + 24 = 32Subtract 24 from both sides.
p= 32 − 24Subtract 24 from 32 to get 8.
p = 8SkandarAnswer:
p = 8
Step-by-step explanation:
p/4 + 6 - 6 = 8 -6
6-6 cancels out as 0.
8-6=2
p/4 = 2
p/4 * 4= 2*4
/4 * 4 cancels out as 0
2 * 4 = 8
So, p = 8
HURR IF U WANT BRAINLIEST IF UR FIRST AND RIGHT sorry again
Answers
Answer:3
Step-by-step explanation:
ANSWER QUICKLY! Brainliest if you get the correct answer
Answers
Answer:
1) B, y=x/2
2) A, E (0,0) (4,2)
Step-by-step explanation:
Input in Demos calculator and then trace the line.
DUE TODAY!! LINEAR FUNCTIONS
What is an equation for the linear function whose graph contains the points (−1,−2) and a slope of 3?
Enter your answers in the boxes.
y+ ? = ? (x+1)
Answers
Answer:
The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, we have a point (-1,-2) and a slope of 3. Substituting these values into the equation, we get:
y - (-2) = 3(x - (-1))
Simplifying this equation, we get:
y + 2 = 3(x + 1)
So, the equation for the linear function whose graph contains the point (-1,-2) and has a slope of 3 is y + 2 = 3(x + 1).
Y + 2 = 3( X + 1 )
Explanation:
The equation is
Y - Y1 = M(X - X1)
Y1 is the y value:
The y value for the point (-1,-2) is -2 so we can plug that in
Y - (-2) = M( X - X1 )
If you subtract a negative you are adding so:
Y + 2 = M( X - X1 )
X1 stands for X
The X value for (-1,-2) is -1 same as the last one it will be positive because if you subtract a negative you are adding it:
Y + 2 = M( X + 1 )
Finally we plug in M
M is the slope and slope = 3 so plug 3 in
Y + 2 = 3( X + 1 )
Answer is Y + 2 = 3( X + 1 )
Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Answers
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
By reflecting y=3x+2 about the line y=x, graph the inverse of y=3x+2.
Answers
Answer:58
Step-by-step explanation:
Answer:
What do you want me to do?
Step-by-step explanation:
help please im taking a test and dont know how to do this one
Answers
Answer:
17.275 :)
Step-by-step explanation:
QUESTION:Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
ANSWERS:
A V = π(18h)2V = π ( 18 h ) 2
B V = π(9)2hV = π ( 9 ) 2 h
C V = π(18)2hV = π ( 18 ) 2 h
D V = π(9h)2
Answers
Answer: B \(v=\pi 9^{2} h\)
Step-by-step explanation:
to find volume use V=π r^2 h
if the diameter is 18 feet then the radius (r) will be half of that, 9 ft. So, to find the volume we'd just replace the r with 9 in the equation.
Answer:
B
Step-by-step explanation:
π(9)2hV = π ( 9 ) 2 h
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
John rides his motorcycle with a constant speed of 76 km/h. How far can he travel in 1 1/2 hours?
Answers
Answer: the answer would be 114 KM in 1 and a half hour
Step-by-step explanation: since there is no answer choice, this is only my assumption, and by assumtion i mean math calculation like 76 + 38 equals 114. 1/2 an hour john travels 38 KM's, so add it with how far john travels in 1 hour (78 KM's) and you get 114 KM's in 1 and a half hours.
Find the perimeter of this shape.
Answers
Answer:
draw a line that makes a triangle and rectangle.
hypotenuse= 30
3k-4k-5k triangle
18-24-30
so the short part of triangle is 18 cm
10+10+18+24+30 equals 92
sorry for language I am not familiar with English
the perimeter of this shape is
24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm
Directions: Write a summary of the following statements.
1) What are natural numbers?
2) What is the meaning of zero?
3) What are integers?
4) What is absolute value?
5) Explain why an equation with the same numbers but in a different order may not equal the same answer?
PLEASE HELPPPPP