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]
The perimeter of a rectangle is 26 inches. If the length of the rectangle is 6 inches, find the width.
Answer:
7 inches
Step-by-step explanation:
The perimeter of a rectangle = 2 x ( length + breadth)
26 = 2 x (6 + breadth)
Divide both sides of the equation by 2
26/2 = 6 + width
13 = 6 + width
Collect like terms
13 - 6 = width
width = 7 inches
24% of 40
I need it worked out pls thank uuu:)
Step-by-step explanation:
24% is the same as 6/25
[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]
Answer:
9.6
Step-by-step explanation:
24% of 40 = 0.24 × 40 = 9.6
help me fast for extra points
Answer:
EKH and FKG
Step-by-step explanation:
vertical angles are angles that are directly vertical from each other.
Answer:
C
Step-by-step explanation:
EKH AND FKG THEY ARE VERTICLE (SAME ANGLES)
A car museum wants to increase its collection by 20%. Currently the museum has 120 cars in its collection. How many cars would the museum need to add over the next year to meet its goal?
Answer:
24
Step-by-step explanation:
in rst, the measure of t=90°, the measure of r=9°, and tr=2.7 feet. find the length of st to the nearest tenth of a foot.
Answer:
6
Step-by-step explanation:
hjjh[tex]\leq[/tex]
Answer:
.4
Step-by-step explanation:
2.7
x
9=
2.7
x
2.7 9=x
Cross multiply.
x=0.4276
x=0.4276≈0.4 feet
A fair con is tossed 80 times in an experiment. If the coin is fair, what would be a reasonable number of times tails should appear
based on your knowledge of the theoretical probability of this event?
Answer: 40 would be a reasonable number of times tails should appear if the coin is fair. Fair means 50/50 chance.
So, divide 80 by 2. 80/2 = 40.
Jose is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Jose need to invest, to the nearest cent, for the value of the account to reach $152,000 in 9 years?
Answer:
P≈ 87784.11
Step-by-step explanation:
i don't know, I saw the solution on Delta Math
The diagram shows a cuboid.
8 cm
15 cm
20 cm
What is the volume of the cuboid?
Answer:
mdndmdkdkdkdkd
Step-by-step explanation:
kdkdkdjfjfk
HELPPPPSJSHS
The graph of a quadratic function is shown on the grid below.
Which coordinates best represents the vertex of the graph?
please help me outt
Answer:
see explanation
Step-by-step explanation:
The scientific notation is 3.212 · 10^8
Multiply
7x(x^2-x+2)
Answer:
7x^3-7x^2+14x
Step-by-step explanation: hope I helped
Find the area in the pic please!!
Answer:
Area = 970 ft²
Step-by-step explanation:
The shape is composed of a square and a triangle.
Therefore:
Area of the shape = area of square + area of triangle
✔️Area of square = s²
s = 20 ft
Area = 20²
Area of square = 400 ft²
✔️Area of triangle = ½*b*h
b = 20 + 9 + 9 = 38 ft
h = 30 ft
Area of triangle = ½*38*30 = 570 ft²
✅Area of the shape = 400 + 570 = 970 ft²
Find the value of |5| - 4(3 to the second power - 2).
Answer:
4.55
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
If the Math Olympiad Club consists of 15 students, how many different teams of 3 students can be formed for competitions?
Answer:
5 teams
15÷3=5
Have a great day
Answer:
5 teams
Step-by-step explanation:
There are 15 students, and 3 students per team. Divide 15/3 and you get 5.
A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map, in inches?
Answer:
3
Step-by-step explanation:
12÷4=3, so they are 3 inches apart
what is the 4 one pls help
Answer:
where are the shapes?
Step-by-step explanation:
Answer:
I think it is 2.5 cm.
Step-by-step explanation:
In the compound interest equation, A(x)= 500(1.07)x, what does the 500 represent?
The starting value
the growth factor
the amount in the account after x years
the annual rate of interest
Answer:
The starting value.
Step-by-step explanation:
In the compound interest equation A(x)= 500(1.07)x, 500 represents the initial balance, or the starting value.
can someone help with this question please? (no links!!)
Answer:
Step-by-step explanation:
radius is half of it so 7 times 2= 14 and then multiply by 3.14.
So 43.96
I need help me please and ASAP!!!!!
Answer:
C D
Step-by-step explanation:
K/2 simply means k divided by 2. 1/2K also means divided by 2
PLEASE HELP ASAP I NEED THIS DONE BY TODAY. ILL GIVE YOU AN ADDITIONAL 50 points. You have to split the shape into two triangles and a rectangle and then add the sums of the areas. HELPPPPPPPPPPPPPPPPPPPPPPPP!!!
Solve the equation 18+a= -5
Answer:
The answer is -23
Step
Find the measure of each numbered angle on this Triangle.
Answer:
m<1 = 69
m<2 = 37
m<3 = 106
m<4 = 21
Step-by-step explanation:
HELP ME ON GEOMETRY!!! PLZ
NO LINKS! > i will report.
Answer
I believe B.)8in3 is the right answer according to the square-cube law.
Step-by-step explanation:
(3x^4=2x+1)-(2x^4-3x+5)
helppp i really need help will give brainliest
Answer:
the answers are 13, ab/2, 20 and 15x²/2
Answer:
1/2 a^2, 1/2 b*a , 20, 7.5x^2
Step-by-step explanation:
Area of right angle triangle = 1/2 height * base so
Area of MSP = 1/2 a^2 , Area of BUC =1/2 a*b
Area of BAC =1/2 8*5 , Area of DRK =1/2 3x*5x =1/2 *15x =7.5x^2
What is the slope of points (2,-15) and (-3,10).
Answer:
m = 5
Step-by-step explanation:
I believe you are asking, "What is the slope of the line passing through the points (2, -15) and (-3, 10)?"
As we go from (-3, 10) to (2, -15), x (the horizontal leg of a right triangle) increases by 5 (this is the 'run'), and y (the vertical leg) increases by 25 (the 'rise'). Thus, the slope of this line is
m = rise / run = 25/5, or just 5. m = 5
a quantity of y varies partly as x and partly as the square of x. when x=2 ,y=14 and when x=5, y=65. Find y when x=-2
1.Find the next three terms in the sequence. -2 , -5 , -8, -11 , ...
2. Find the 100th term.
Please show the working.
La suma de las edades de Pedro y su hijo son 84 años. Hace 6 años la edad de Pedro era 3 veces la edad de su hijo.
¿Qué edad tiene el hijo actualmente?
a) 34 años
b) 29 años
c) 24 años
d) 19 años
Es una pregunta de un examen en la que me quede estancado porque me da 32 o otra forma me da 30 pero ninguna es la opcion
Answer: 24 years old
4(−3x+8)=−16 Which value is the solution to the equation below?
Answer:
I'm 99.9% sure that x=4
Step-by-step explanation: