Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
Answers
Solution :
Equation for Malcom's family travels after t hours is d = 65 t
From the graph, equation for Theo's family travels after travels after t hours is
[tex]$d=\frac{225}{4.5}t$[/tex]
[tex]$d=50 t$[/tex]
For Malcom's family, speed [tex]$= \frac{d}{t}$[/tex] = 65 miles per hour
For Theo's family, speed [tex]$= \frac{d}{t}$[/tex] = 50 miles per hour
Malcom's family traveled faster than Theo's family by
= (65-50) miles per hour
= 15 miles per hour
Related Questions
Xander takes a quiz worth 200 points. Each question is worth 40 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.
Answers
Answer:
Miss 1: 160
Miss 2: 120
Miss 3: 80
Miss 4: 40
Miss 5: 0
Step-by-step explanation:
Mark brainliest pls
-243 = -9(10 + x)
.......
Answers
Answer:
4x
Step-by-step explanation:
EDG 2020
3) Yellow Stone National Park is a popular field trip destination. This year the senior class at High
School A and the senior class of High School B both planned trips there. The senior class at High
School A rented and filled 4 vans and 2 buses with 142 students. High School B rented and filled 2
vans and 4 buses with 206 students. Every van had the same number of students in it as did the
buses. Find the number of students in each van and in each bus.
Answers
Answer:
Find the number of students in each van and in each bus?
13 students can fit in van and 45 students can fit in bus
There were 13 students in each van and 45 students in each bus for both High School A and High School B.
Let's assume that the number of students in each van is "v" and the number of students in each bus is "b".
From the information given, we can form the following equations:
Equation 1: 4v + 2b = 142 (High School A)
Equation 2: 2v + 4b = 206 (High School B)
We can start by multiplying Equation 1 by 2 and Equation 2 by 4 to eliminate the "b" variable:
2 * Equation 1: 8v + 4b = 284
4 * Equation 2: 8v + 16b = 824
Now, we subtract Equation 1 from Equation 2:
(8v + 16b) - (8v + 4b) = 824 - 284
12b = 540
b = 540 / 12
b = 45
Substitute the value of "b" back into Equation 1:
4v + 2(45) = 142
4v + 90 = 142
4v = 142 - 90
4v = 52
v = 52 / 4
v = 13
Therefore, there were 13 students in each van and 45 students in each bus for both High School A and High School B.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ4
Determine the constant of proportionality in the situation below.
Every bag of peanuts costs $3.55
Answers
Answer:
The constant is that every bag costs $3.55
Step-by-step explanation:
When the bag of peanuts costs $3.55 then Constant of proportionality is 3.55
What is constant of proportionality?The constant of proportionality is the ratio between two directly proportional quantities
Here,
Every bag of peanuts costs $3.55
Consider the number of bags = x
Cost of the peanut bag = y
Therefore
y is directly proportional to x
y = kx
Where k is the constant of proportionality
k = [tex]\frac{y}{x}[/tex]
if the cost of the one bag is $3.55
Then [tex]k=\frac{3.55}{1}[/tex]
k=3.55
Hence, When every bag of peanuts cost constant of proportionality is 3.55
Learn more about constant of proportionality here
https://brainly.com/question/22620356
#SPJ2
Which of the following transformations would result in two congruent triangles?
A
vertex I should be moved up 5 units
B
vertex x should be moved down 10 units
c
vertex y should be moved left 4 units
D
vertex Z should be moved left 4 units
Help pls!!!
Answers
Answer:
B
Step-by-step explanation:
I just did it in illuminate
In general, how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage? What effect does the scale factor of the dilation have on the slopes, if any?
Answers
Answer:
The slopes of the line segments are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.
Step-by-step explanation:
Plato simple answer
The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.
How does dilation works?Dilation of a figure will leave its sides get scaled (multiplied) by same number.
Dilation if, is from the center of the rectangle, then distance of all the points of the rectangle from its center will get scaled by that dilation factor.
Slope:
We know that the slope is the ratio of change in y-value and change in x-value.
So, after dilation
m---->m
Length of line:
The length of line =x
so, it's length will become nx.
The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.
Learn more about dilation;
https://brainly.com/question/2648332
#SPJ5
Given PQR is congruent to STU, find the value of x
Answers
Answer:X=15 Y=4
Step-by-step explanation:
1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.
2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.
3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64
Please give me the correct answer.
Answers
Answer:
One thing I see here is that we have to open the parenthesis by multiplying 4 by (n+10), so the option that says "Multiply (n + 10) by 4." Not sure how I can show explanation for this question.
Ben has a cellphone plan where he pays $12 per
month plus $.10 per minute of talk time. The equation
y = 0.10x + 12 can be used to find his monthly phone
bill y given the number of minutes x he spends talking.
Which set or inequality represents a reasonable range
of the function?
F. 50, 126
H. 12 … y
G. 0 … y … 12
J. 0 … y
Answers
Answer:
H
Step-by-step explanation:
I have done the work before
PLEASE ANSWER THUS I WILL GIVE BRAINLIEST FAST PLEASE!!!!!
Answers
Answer:
b b b b
the answer is b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
1.
40% of the house plants were watered today. 320 house plants were watered. Which equation can be used to find how many plants there were?
Answers
Answer:
0.40x = 320
Step-by-step explanation:
40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.
The ratio of two supplementary Angles is 2:7 what is the measure of the smaller angle
1 10
2 14
3 20
4 40
Answers
(i need my answer to be 20 characters long)
the breadth of a rectangular plot is 20 m less than its lengths find its dimensions if its perimeter is 120
Answers
Answer:
breadth = 25m
length= 35m
Step-by-step explanation:
perimeter is distance all round a figure
in a rectangle we have two pairs of opposite but equal lines
breadth = 2x( because of the two breadths in a rectangle) - 20
length = 2x( because of the two lengths in a rectangle)
perimeter = 2x + 2x - 20
120 = 4x - 20
120 + 20 = 4x
140 = 4x
35 = x
to get the dimensions, we have to divide by 2 as we took both parts of each dimension
breadth = 2x - 20
2
=2(35) - 20
2
= 70 - 20
2
= 50m
2
= 25m
length = 2x
2
= 2(35)
2
= 70m
2
= 35m
please help me please!!!
Answers
Answer:
a is the answer
Step-by-step explanation:
because i said so
Which of the following is equivalent to 4/20? 1. 1/10 2. 3/15 3. 3/19 4. 2/12
Answers
Answer:
3/15=1/5
Step-by-step explanation:
4/20=3/15
3/15 is not all the way simplified. So i'm going to make it simple.
3 divided by 3=1
15 divided by 3=5
1/5 x 4=4/20
4/20 divided by 1/5=4
Prakarit bought a pack of paper for 5.69 and he bought a toner for 9.76. What was the change?
Answers
Answer:
sorry grffggcfcfxtcrxrxrzrzeDdd
Ms. Andrew currently earns $4,225 per month. She will receive a 17% increase in pay beginning next month. How much can she expect to earn next month, to the nearest cent?
Answers
Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
To calculate Ms. Andrew's new monthly salary, we need to add 17% of her current salary to her current salary:
New salary = Current salary + 17% of current salary
New salary = $4,225 + 0.17($4,225)
New salary = $4,225 + $717.25
New salary = $4,942.25
Therefore, Ms. Andrew can expect to earn $4,942.25 next month, to the nearest cent.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Para la clase de Ciencias cada 1 de los estudiantes puso a germinar un grano de frijol
luego de 2 semanas cada 1 midió la altura de su planta en centímetros los resultados
se muestran a continuación
a. Halla la media, Halla la moda, Halla la mediana
b. Responde las siguientes preguntas: cuántas plantas crecieron 10, 11 y 12 cm cuantas plantas crecieron mas de 12 centimetros, cual fue el promedio de
crecimiento de las plantas (para esto saca la media), cual fue el crecimiento que mas
veces se repitió (para esto halla la moda)
Answers
Answer:
uhhh
Step-by-step explanation:
The U.S. federal government conducts a sampling survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question. That fifty percent is a
a
statistic
b
variable
c
data
d
parameter
Answers
Answer:
The correct answer is A. That fifty percent is a statistic.
Step-by-step explanation:
Statistics is the science that studies the collection of objective data from reality and its subsequent analysis for the extraction of specific information on the group from which the data were obtained. Thus, statistics obtains different samples (such as opinions, personal characteristics, etc.) of a certain group, and compares their results with the purpose of establishing objective parameters applicable to the entire society.
In this way, the fact that in a survey 50% of the respondents answer in a specific way constitutes a specific statistic regarding that sample, which can in turn be transferred to society as a whole.
A piece of brass contains 1.66 grams of copper and 0.34 gram of zinc. What is the mass of the piece of brass in grams?
Answers
Answer:
The mass would be 2.
Step-by-step explanation:
1.66 + 0.34 is 2.
The area of a rectangle is a 40 square inches. The width of the rectangle is 4 inches more than the length. What are the dimensions of the rectangle?
Answers
Answer:
I think 10
Step-by-step explanation:
because 4 times 10 is 40 and 4 side so 10 for each side
The dimensions of the rectangle are 4.63 inches and 8.63 inches respectively.
Let the length of the rectangle be L.Let the width of the rectangle be W.Given the following data:
Area of a rectangle = 40 square inches.Translating the word problem into an algebraic equation, we have;
[tex]W = L + 4[/tex]
To find the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula;
[tex]Area = LW[/tex]
Substituting the values into the formula, we have;
[tex]40 = L(L+4)\\\\40 =L^2+ 4L\\\\L^2+ 4L -40=0[/tex]
Solving the quadratic equation by using the quadratic formula, we have the following values;
L = 4.63 or −8.63
Length, L = 4.63 inches.
For the width:
[tex]W = L + 4[/tex]
[tex]W = 4.63 + 4[/tex]
W = 8.63 inches
Read more: brainly.com/question/897975
The football team won 16 games, and they lost four. What is the ratio of games won to number of games played?
Answers
Answer:
4:1
Step-by-step explanation:
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the diameter is 100 mm?
Answers
Answer:
157,143 mm/s
Step-by-step explanation:
Formula for the volume of a sphere is;
V = 4/3 * pi * r^3
dv/dr = 4 pi r^2
dv/dt = dv/dr * dr/dt
dr/dt = 5 mm/s
dr/dt = 4 * pi * r^2
r = d/2 = 100/2 = 50 mm
dr/dt = 4 * 22/7 * 50^2 = 220,000/7
dv/dr = 220,000/7 * 5 = 157,142.8571428571
Approximately 157,143 mm/s
what is 168 divided by 12 but using estimation
Answers
Answer:
14
Step-by-step explanation:
The division of the number 198 by 12 is approximately 17.
A mathematical process known as division can be used to divide a sum of money into equal parts or to calculate how many times one number can be found inside another.
A quotient is produced as a result of dividing a dividend (the number being divided) by a divisor (the number by which the dividend is divided).
To estimate the division of 168 by 12, we can use rounding to simplify the calculation.
Round the numbers to a more manageable value. In this case, we can round 168 to 170 and 12 to 10.
Divide the rounded numbers. 170 divided by 10 is equal to 17.
Therefore, an estimated answer to the division of 168 by 12 is approximately 17.
To know more about divisions follow
https://brainly.com/question/1594099
#SPJ6
A total of 2,000 square feet is to be enclosed in two pens, separated by a chain link fence. The outside walls are to be constructed of brick. The brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Find the dimensions that minimize the construction cost
Answers
Answer:
Dimensions that minimize is; 20 ft x 100 ft
Step-by-step explanation:
Let the width and length be x and y respectively.
We are given area as 2000 Sq.ft.
Thus;
xy = 2000 - - - (eq 1)
We are told that the brick wall costs $20 per linear foot and the chain link costs $4 per linear foot. Thus;
C(x) = 20x + 4y
From eq(1),y = 2000/x
Thus;
C(x) = 20x + 4(2000/x)
C(x) = 20x + 8000/x
To minimize this, we will differentiate and equate to 0.
Thus;
C'(x) = 20 - 8000/x²
Equating to zeeo;
20 - 8000/x² = 0
20 = 8000/x²
20x² = 8000
Divide both sides by 20;
x² = 8000/20
x² = 400
x = √400
x = 20 ft
Putting 20 for x in eq 1,we have;
20y = 2000
y = 2000/20
y = 100 ft
Which statements are true about the solution of 152 22+x? Select three options.
O x2-7
OXS-7
The graph has a closed circle.
0-6 is part of the solution.
0-7 is part of the solution.
Answers
Answer:
it's a c e actually......
The true statements about 15 ≥ 22 + x are
x ≤ -7, the graph has a closed circle and -7 is part of the solution.
How to determine the true statements?The inequality is given as
15 ≥ 22 + x
Subtract 22 from both sides
-7 ≥ x
Rewrite as:
x ≤ -7
The ≤ implies that the solution is a closed circle, and the other true statement is: (e) -7 is part of the solution.
Read more about inequalities at:
https://brainly.com/question/11234618
100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please help
Answers
Answer:
fhetdg55541378u c4i58454v.
Answer:
Bro, it literally shows how many points and it shows 5 dumb dumb
Step-by-step explanation:
7 1/2 ÷ (4 1/2 - 5 1/8)
Answers
Answer:
-12
Step-by-step explanation:
7 1/2 ÷(4 1/2 - 5 1/8)
7 1/2 ÷ -5/8
7 1/2* -8/5
-12
a. What is the y-intercept?
b. What is the slope?
c. What is the equation of the line in slope-intercept form?
Answers
Answer:
slope is (2/3)x. equation is y=(2/3)x-1
Step-by-step explanation:
Please Help. Write an equation of the line that passes through (1,2) and is perpendicular to the line
that passes through y=-3x - 4
Answers
Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
Slope of [tex]y=-3x-4[/tex] is the m of the general equation [tex]y=mx+b[/tex] which [tex]-3[/tex] The slope a line perpendicular to this line is the number that if multiplied with -3 will give us -1 so that [tex]\frac{1}{3}[/tex] With that slope and the point [tex](1,2)[/tex] use the formula[tex]y-y_1=m(x-x_1)\\y-(2)=\frac{1}{3} (x-(1))\\y-2=\frac{1}{3}x-\frac{1}{3}\\y=\frac{1}{3}x+\frac{5}{3}[/tex]