During a walk a thon,noahs time in hours was,t,and distance in miles,d,are related by the equation 1/3d=t .A gragh of the equarion includes points (12,4)
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]
Original Price Percent of Discount Sale Price $ 15% $146.54
Answer:
$21.98
Step-by-step explanation:
Answer:
172.40
Step-by-step explanation:
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
Answer:
288
Step-by-step explanation:
Which of these factored expressions are equivalent to 15x+45? Select all that apply
A-3(5x+15)
B-5(3x+9)
C-15(x+3)
D-15(x+45)
Answer:
A, B, C
Step-by-step explanation:
15x+45
3 (5x + 15)
5(3x +9)
15(x + 3)
Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman
Answer:
Step-by-step explanation:
Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman
jimmy has 90 billion watermelons and spends on a rocket that cost 42 billion melons how much will jimmy have?
Answer:45,000,000,000 melons
Step-by-step explanation:
90,000,000,000-45,000,000,000=45,000,000,000
ryan has some (donuts) he takes 5 away how many donuts does ryan have now.
d - 5 = ?
Answer:
7
Step-by-step explanation:
A store manager earns $24.00 per hour. If the manger works 8 hours one day and donates 1/10 of the days earnings to charity how much of the earnings are left?
A $19.20
B$29.60
C $172.80
D 192.00
What is the probability of landing on red and rolling a number greater than 2?
1/6
1/4
1/3
1/2
the equation of a circle is x2 + y2 - 12x + 6y + 20 = 0.
what is the radius of the circle? enter your answer in the box. r = ___ units
Answer:
Center (6, -3)
Radius 5
Find the length of AB.
AB= [ ? ]in
If someone can help pls need soon
Answer:
Step-by-step explanation:
Which expression is equivalent to 3(6+p) ?
Answer:
18 + 3p
Step-by-step explanation:
Using distributive property:
3(6+p)
18 + 3p
A pair of jeans is on sale for $56 at 35% off. What is the original price of the jeans? Show your work to receive full credit
5. What is the inverse function of
Answer:
i think that it is. C.
i think it will help
Can someone help me please
Answer:
13.7
Step-by-step explanation:
15^2-6^2=189
The square root of 189 is 13.74 blah blah blah
Answer:
13.7
Step-by-step explanation:
a²+b²=c²
a²+6²=15²
a²+36=225
a²=189
a≈13.7
PLS HELP WILL MARK BRAINLIEST!!!
Answer:
The answer is 8.304 then 8.92 then 167/20 then 8 3/10. :)
Step-by-step explanation:
Answer:
8 3/10, 8.304, 167/20, 8.92
Step-by-step explanation:
Turn all of them into decimals
8 3/10 = 8.30
8.304
167/20 = 8.350
8.92
Which expression is equivalent to
Answer:
B
Step-by-step explanation:
does 13, 12, 6 form a pythagorean triple?
Answer:
No
Step-by-step explanation:
the pythagorean theorem is
a^2+b^2=c^2
These numbers do not fit in these terms
Answer:
It doesn't.
Step-by-step explanation:
In order for something to be a {ythagorean triple, it must comply with the Pythagorean theorem, which is a² + b² = c²
Always remember, when plugging in the values into that equation, the exponent of two means to square the number, and a and b have to be the two smallest values (in this case, 6 and 12)
6² = 36
12² = 144
36 + 144 = 180
Now, we have to find if ti equals c². 13² equals 169
Therefore, 180 ≠ 169, therefore it IS NOT a Pythagorean triple.
Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What’s the volume of a cord of wood in cubic feet? A. 128 cu. ft b. 3,456 cu. ft c. 4.74 cu. ft D. 64 cu. ft.
Answer:
128 cu. ft
Step-by-step explanation:
4 x 4 x 8 = 16 x 8 = 128
Please its really urgent, step by step working out
Answer:
70.99
Step-by-step explanation:
Use Pythagorean Theorem to find the shortest distance.
80^2-50^2=3900
Square rt= 62.44
Subtract by 15
47.44
Next find half of the circular path it is (3.14 x 15)/2
23.55
Add 47.44+23.55=70.99
Hope this is correct
what is the formula for area
area of rectangle = length×breadth
area of square = side×side
how do you solve fire x.
Answer:
x = 10
Step-by-step explanation:
Sum of all the angle of triangle = 180
71 + 50 + 6x - 1 = 180
71 + 50 -1 + 6x = 180
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 60/6
x = 10
b) Select all expressions that can be used to find 85% of 280.
A.
8.5
10
280
B.
0.85
100
280
C.
85
100
280
Answer:
238
85%of 280 is 238
Step-by-step explanation:
hope this helps
find the value of given expression
[tex] \sqrt{9 \times 81 \times 9} [/tex]
Answer:
√{9×81×9}=√(9²×9²)=±(9×9)=±81
Answer:
your answer will be 81
Step-by-step explanation:
.......
Which statement is true?
A. All rectangles are squares.
B. Some trapezoids are parallelograms.
C. All squares are rhombuses.
D. No rhombuses are rectangles.
Help please 10 points
Answer:
200
Step-by-step explanation:
basically, all you have to do is plug in 30 for n. You would get -3 + 7(30-1), and then you would get -3 + 7 x 29, and then you would get -3 + 203, and the final answer would be 200
Elaine worked 48 hours last week. Her hourly rate is $9.20. What was her GROSS PAY?
Answer:
48 × 9.20 = 441.60
Step-by-step explanation:
gross wages can be calculated by multiplying the number of hours worked by the employee's hourly wage.
what is 49cm^2 in mm^2
Answer:
4900mm^2 or 24010000mm
Step-by-step explanation:
which set of sides will NOT make a triangle?
19cm 14cm 7cm
11cm 13cm 3cm
12cm 7cm 5cm
2cm 3cm 4cm
Answer:
12cm 7cm 5cm
Step-by-step explanation:
Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.