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aleksandrvk [35]
2 years ago
7

Kayla walks 3 2/5 miles each day? wich of the following statements correctly describe how far she walks? a kayla walks 14 2/5 mi

les in 4 days b kayla walks 23 4/5 miles in 7 days c kayla walks 34 miles in 10 days d kayla walks 102 miles in 31 days
Mathematics
1 answer:
Inessa05 [86]2 years ago
7 0
We inspect each of the choices and determine which among them is the best answer by multiplying the given time frames to the speed given.
(a) (3 2/5 miles/day) x (4 days) = 13.6 miles (wrong)
(b) (3 2/5 miles/day) x (7 days) = 23 4/5 miles (correct)
(c) (3 2/5 miles/day) x (10 days) = 34 miles (correct)
(D) (3 2/5 miles/day) x (31 days) = 105.4 miles (wrong)

Thus, the answers are B and C. 
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If e = 9 cm and f = 40 cm, what is the length of g?
rewona [7]

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.  

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

8 0
2 years ago
Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
Sunny_sXe [5.5K]
If the first expression reads x(cube) • x(cube) • x(cube) and x(cube • cube <span>• cube), then the answer is no. They are not equal. 
</span>
 x(cube) • x(cube) <span>• x(cube) will be equivalent to x(to the 9th power) while </span>x(cube • cube <span>• cube) will be equivalent to x( to the 27th power). </span><span> 
</span>
3 0
2 years ago
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
EastWind [94]
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
8 0
2 years ago
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the fun
aleksley [76]
Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

The rate of change of a function f(x) over an interval
a \leq x \leq b
is given by
\frac{f(b)-f(a)}{b-a}

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval
0 \leq x \leq 1
is given by
\frac{f(1)-f(0)}{1-0} = \frac{2-1}{1} =1

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval
0 \leq x \leq 1
is given by
\frac{g(1)-g(0)}{1-0} = \frac{1-0}{1} =1

Therefore, the exponential grows at the same rate as the quadratic in the interval <span>0 \leq x \leq 1.</span>
3 0
2 years ago
Read 2 more answers
What is the midpoint of the segment shown below?<br> (-12,-3) (3,-8)
shepuryov [24]

Answer:

D

Step-by-step explanation:

In order to find the midpoint of a line segment on a graph, you must add both "x" coordinates, then divide by 2.

Then, add both "y" coordinates, and divide by 2.

5 0
2 years ago
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