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vodomira [7]
3 years ago
10

The distance a bike travels varies directly as the amount of time the bike has been ridden. Angela is riding her bike. If she tr

avels a distance of 60 miles in 2 hours, how far has Angela traveled in 7 hours?
Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

Answer:210 miles

Step-by-step explanation:because there is 7 hours so you need to multiply up to six hours so 60 x 3 = 180 or 6 hours + 1 hour = 30 miles so 180+30= 210

Levart [38]3 years ago
4 0

Answer:

420 miles

Step-by-step explanation:

60 ×7=420

thank

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Hello? i have a question.​
Vedmedyk [2.9K]

Answer:

whats your question

Step-by-step explanation:

4 0
3 years ago
Find f(a), f(a+h), and<br> 71. f(x) = 7x - 3<br> f(a+h)-f(a)<br> h<br> if h = 0.<br> 72. f(x) = 5x²
Leni [432]

Answer:

71. \ \ \ f(a) \  = \  7a \ - \ 3; \ f(a+h) \  =  \ 7a \ + \ 7h \ - \ 3; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 7

72. \ \ \ f(a) \  = \  5a^{2}; \ f(a+h) \  =  \ {5a}^{2} \ + \ 10ah \ + \ {5h}^{2}; \ \displaystyle\frac{f(a+h) \ - \ f(a)}{h} \ = \ 10a \ + \ 5h

Step-by-step explanation:

In single-variable calculus, the difference quotient is the expression

                                              \displaystyle\frac{f(x+h) \ - \ f(x)}{h},

which its name comes from the fact that it is the quotient of the difference of the evaluated values of the function by the difference of its corresponding input values (as shown in the figure below).

This expression looks similar to the method of evaluating the slope of a line. Indeed, the difference quotient provides the slope of a secant line (in blue) that passes through two coordinate points on a curve.

                                             m \ \ = \ \ \displaystyle\frac{\Delta y}{\Delta x} \ \ = \ \ \displaystyle\frac{rise}{run}.

Similarly, the difference quotient is a measure of the average rate of change of the function over an interval. When the limit of the difference quotient is taken as <em>h</em> approaches 0 gives the instantaneous rate of change (rate of change in an instant) or the derivative of the function.

Therefore,

              71. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{(7a \ + \ 7h \ - \ 3) \ - \ (7a \ - \ 3)}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{7h}{h} \\ \\ \-\hspace{4.25cm} = \ \ 7

               72. \ \ \ \ \ \displaystyle\frac{f(a \ + \ h) \ - \ f(a)}{h} \ \ = \ \ \displaystyle\frac{{5(a \ + \ h)}^{2} \ - \ {5(a)}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{{5a}^{2} \ + \ 10ah \ + \ {5h}^{2} \ - \ {5a}^{2}}{h} \\ \\ \-\hspace{4.25cm} = \ \ \displaystyle\frac{h(10a \ + \ 5h)}{h} \\ \\ \-\hspace{4.25cm} = \ \ 10a \ + \ 5h

4 0
2 years ago
Tom has 3 kids, the product of their ages is 72. What is the sum of their ages?
mafiozo [28]
Their ages are 24 years old each.
5 0
3 years ago
Read 2 more answers
What is the value of 6(2b-4) when b=5.​
trapecia [35]
<h3><u>3</u><u>6</u> is the answer.</h3>

Step-by-step explanation:

Put value of b as given and using BODMAS rule,

6(2b - 4)

=  > 6((2 \times 5)-4)

=  > 6(10 - 4)

=  > 6 \times 6

=  > 36

Henve, value of of the given expression is 36

7 0
2 years ago
Read 2 more answers
You are purchasing books summer reading for $4.50 each. Part A: Your total cost, C, depends on,The input is,and the output is,Pa
Crazy boy [7]

Answer:

Part A) see the explanation

Part B) C(12)=\$54

Step-by-step explanation:

Part A)

we know that

A relationship between two variables, x, and C, represent a proportional variation if it can be expressed in the form k=\frac{C}{x} or C=kx

Let

C ---> is the total cost (represent the output or dependent variable)

x ----> is the number of books (represent the input or independent variable)

In this problem

we have a proportional relationship between the variables x and C

Part B)  we know that

The linear equation is given by

C=kx

The constant of proportionality k is the same that the slope or unit rate of the linear equation

In this problem the constant k is given

k=\$4.50\ per\ book

so

C=4.50x

For x=12 books

substitute in the equation and solve for C

C=4.50(12)=\$54

In function notation

C(12)=\$54

5 0
3 years ago
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