Question:
During a walk-a-thon, Noah's time in hours was t, and distance in miles, d, are related by the equation [tex]\frac{1}{3}d = t[/tex]. A graph of the equation includes points (12,4).
1. Identify the independent variable.
2. What does the point (12,4) represent in this situation?
3. What point would represent the time it took to walk [tex]7\frac{1}{2}[/tex] miles?
Answer:
(a) d
(b) He spent 4 hours to walk 12 miles
(c) [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
Step-by-step explanation:
Given
[tex]t = \frac{1}{3}d[/tex]
Solving (a): The independent variable
The independent variable, in this problem is the distance walked. Because the distance walked stands alone, and it is when the distance is known, that the time spent is known.
Hence:
The independent variable is distance (d)
Solving (b): What (12, 4) represents
This implies that:
[tex]distance = 12[/tex]
[tex]time\ spent = 4[/tex]
So: He spent 4 hours to walk 12 miles
Solving (c): Point to represent the time to walk [tex]7\frac{1}{2}[/tex] miles
This implies that:
[tex]d = 7\frac{1}{2}[/tex]
Substitute [tex]d = 7\frac{1}{2}[/tex] in [tex]t = \frac{1}{3}d[/tex]
[tex]t = \frac{1}{3} * 7\frac{1}{2}[/tex]
Express as improper fraction
[tex]t = \frac{1}{3} * \frac{15}{2}[/tex]
[tex]t = \frac{5}{2}[/tex]
Express as mixed number
[tex]t = 2\frac{1}{2}[/tex]
So: The point is, [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
A baker needs 40 fluid ounces of milk for a chocolate cake recipe and 64 fluid ounces of milk for a carrot cake recipe. How many cups of milk does the baker need for the carrot cake and the chocolate cake recipes combined?
Answer:
104 ounces
Step-by-step explanation:
40+64= 104
.......
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3
Answer:
0
Step-by-step explanation: i did the lesson
Which expression is equivalent to the expression below?
7x+5y+x+x+x+x
Answer:
11x+5y
Step-by-step explanation:
7x+5y+x+x+x+x
Combine like terms
7x+x+x+x+x +5y
11x +5y
I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.
Answer:
A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.
Step-by-step explanation:
Which value is equivalent to (36)3?
A.
32
B.
33
C.O 39
318
Answer:
108
Step-by-step explanation:
36(3)=108
The correct answer is not on the answer choice.
Whichever answer is the closest to 108, choose it.
Pls help me find the area in this pic!
please help me on this math I have been trying to solve it but I can't please please help me!!!!!!
Answer:The first table would be a proportional relationship.
Step-by-step explanation:
It's the only table with a constant, which is required in a proportional relationship. The constant would be 1300 which you can find by divided the two numbers in each row.
I need help I'm confused
I am working of Circumference of circles rn and How do u find the Circumference of a circle if there is no circumference?
Step-by-step explanation:
you need either:
the diameter- the distance from one side to the other, or
the Radius- the distance from the center to the edge
the diameter is always double the radius, and accordingly the radius is always half the diameter.
so, the circumference ca be figured out by multiplying the diameter times pi- which, for most calculations is 3.14
if you only have the radius, multiply that by 2 to get the diameter, then by 3.14.
hope that helps!
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
26
Step-by-step explanation:
Solve 9x-1 = 41-5x
9x-1 = 41-5x
+1 +1
9x = 42-5x
+5x +5x
14x = 42
/14 /14
x = 3
Plug in X for EF
41-5(3)
41-15
=26
Solve the system of equations by substitution.
y=3x-10, 2x+3y=14
Its 5-3 MathXL btw
sorry this isn’t in text form… But thank you if you’re willing to provide help!
Answer:
Blank 1: y=3x+10
Blank 2: y= 40
Step-by-step explanation:
Let the cost of gift wrap be y and the number of gifts be x.
Department
An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.
y= 3x +10
Niece
A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.
y= 40
To find out when the two plans cost the same, equate the two equations together. Then, solve for x.
3x +10= 40
3x= 40 -10 (-10 on both sides)
3x= 30
x= 30 ÷3
x= 10
Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.
If anyone can help I would really appreciate it!
Answer: y= 2/5 * x - 6
Step-by-step explanation:
y intercept
y= 2/5 x+b putting in the point 5,4
y=2/5 5+ b
4=10+b
b= -6
Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answer:
I believe the answer is y=x+-13
Step-by-step explanation:
2
3
4
5
Simplify.
(-v2+3v – 7) + (402+5v+6)
Answer: -v^2 + 8v + 401
Step-by-step explanation:
how do I find the ratio
Answer:
Ratios are like fractions. It is one part divided by the total amount of parts.
Step-by-step explanation:
for example there are 2 boys and 5 girls
so the ratio of boys to girls is 2:5
There are 20 boys in Mrs. Shaw’s 3rd-period class. 11 of the boys are from Benignus. What percent of the boys came from Benignus?
please hurry
6th grade math
Solve the system of equations
2x+3y= 6
x+y=4
(6,-2)
(-2,6)
(-3, 4)
(0, 2)
Answer:
Step-by-step explanation:
2x+3y= 6 ========================>>> 2x + 3y = 6
x+y=4 ===== times both sides by 2 =====>>> 2x + 2y = 8
==== subtract these two equations ==>> (2x - 2x) + (3y - 2y) = 6 - 8
0x + y = -2
y = -2 so if x + y = 4 plug in -2 where y was
x + (-2) = 4 add 2 to both sides
x = 6
(6,-2)
(-2,6)
(-3, 4)
(0, 2)
Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min
Answer: 30 mins.
Step-by-step explanation:
The mode is the value that appears the most times.
In such a situation, first order the numbers in an ascending order:
15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45
As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.
A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?
Answer:
Step-by-step explanation:
300t=280(t+2)
300t=280t+560
20t=560
t=28
how many times can 10 go into 111?
Answer:
11 times
Step-by-step explanation:
hope this helps
Answer:
11.
Step-by-step explanation:
10 x 10 = 100
10 x 11 = 110
10 x 12 = 120 which is too much so its the one above.
a charm on a lucy's bracelet had the dimensions shown what is the area of the charm
Answer:
13
Step-by-step explanation:
Find the measure of.. (image included)
I need help please! My teacher changed the due date to today and I don't understand it.
Answer:
B) 50
Step-by-step explanation:
<A = x + 53
x + 53 + x + 83 + 50 = 180
2x + 186 = 180
2x = -6
x = -3
<A = x + 53
-3 + 53
50
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.
Which statement is true regarding these data sets?
The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.
The number of members in the Chess Club and the number of members in the Debate Team is the same.
The majority of the members in each club are between 15 and 17 years old.
About 50% of the members of each club are 16 or older.
Answer:
C
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)
Answer:
The vertex is ( -6, 3)
Step-by-step explanation:
h(x) = |x+ 6| + 3
Inside the absolute value is the h or the x coordinate of the vertex
Outside is the k or the y value of the vertex
It is in the form
h(x) = |x-h| + k where (h,k) is the vertex
h(x) = |x - -6| + 3
The vertex is ( -6, 3)
Answer:
B. (-6, 3)Step-by-step explanation:
Given function:
h(x) = |x + 6| + 3This is the translation of f(x) = |x|, 6 units left and 3 units up
So the vertex is (-6, 3)
Correct choice is B
hey!!! please answer this asap it is an emergency!!!
whoever answers first and gets it right will be marked brainliest!!!
Answer:
my bad yall, I seen the comments!! it's 12
Step-by-step explanation:
I'm so sorry!!
Answer:
Okay, i'm not being jugy but it it is super easy... it is 12 only because 1x12=12, 2x12=24, 3x12=36, and 4x12=48!!
it is most definately 12 DON'T WORRY
Help me pls pls help
Answer:
The last one
Step-by-step explanation:
This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2
Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2
Hope this makes sense
1. TEMPERATURE Suppose the temperature
outside is dropping 3 degrees each
hour. How much will the temperature
drop in 8 hour?
Hi! i'm showing this to my sister and she wants to know, At a yard sale, Jennifer sold 2 tricycles for $22.50 each, 3 old video games for $2.75 each, a video for $5.00, and a dictionary for 75 cents. How much money did she make?
Jennifer made $59.
$22.50 times 2 is $45 and $2.75 times 3 is $8.25, the sum of these numbers is $53.25.
$5 plus $0.75 is $5.75, and the sum of $5.75 plus $53.25 is exactly 59 dollars.
If this is incorrect, please, don't refrain to tell me.
The triangles are congruent by SSS or HL.
Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.
Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
rotation, then translation
Step-by-step explanation:
The transformation that map triangle MNQ onto triangle PQN is rotation, then translation.
The given triangles;
Triangle MNQ Triangle PQNA translation of a triangle occurs when the triangle shifts up, or down, of left or right on the coordinate plane.
The reflection of a triangle occurs when the vertices of the triangle is flipped over the opposite side.
Since the triangle MNQ is rotated then shifted to the left to form the new triangle PQN, we can conclude that the transformation that map triangle MNQ onto triangle PQN is rotation, then translation.
Learn more about rotation and translation of triangles here: https://brainly.com/question/1616371