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3 years ago

Troy cycled 57 miles in 3 hours. if he cycled at a constant rate, what was his rate in mph?

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

57 miles / 3 hours = 19 mph

Nimfa-mama [501]3 years ago

7 0

Divide 57 by 3 to get 19mph

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Question 3

alexira [117]

Answer: when x = 7, y = 16

Step-by-step explanation: Here, we know that y varies inversely as x.

When we have two sets of inversely related coordinates, x₁ and y₁,

and x₂ and y₂, we can use the product rule, shown below,

to find the missing value.

Here, we know that y = 14 when x = 8 so

one set of coordinates will be 8 and 14.

We want to know the value of y when x = 7.

So our other coordinates will be 7 and y.

So we have (8)(14) = (7)(y).

Simplifying, (8)(14) is equal to 112 and (7)(y) is equal to 7y.

So we have 112 = 7y.

Now we simply solve for y by dividing both sides of the equation by 7.

The 7's on the right side cancel out and

on the left, 112 divided by 7 is equal to 16.

So we have 16 = y.

So when x is equal to 7, y is equal to 16.

7 0

3 years ago

Line segmentAB has vertices A(−3, 4) and B(1, −2) . A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯ . The image has ve

zysi [14]

Answer:

The scale factor is

$\frac{1}{3}$

Step-by-step explanation:

Line segmentAB has vertices A(−3, 4) and B(1, −2) .

A dilation, centered at the origin, is applied to AB. The image has vertices

A'(-1,4/3) and B′(1/3, −2/3) .

We know the rule for dilation by scale factor of k, is

$(x,y)\to(kx,ky)$

This means that;

$A(-3,4)\to A'(-3k,4k)$

But we know, A' has coordinates (-1,4/3)

This means that

$- 3k = - 1$

$k = \frac{1}{3}$

We could also compare:

4k=4/3

Which gives

k=⅓

5 0

3 years ago

Read 2 more answers

there are 30 major league baseball (MLB) teames and 32 National football League (NFL) teams. The expanded roster for MLB teams i

maria [59]

40 players multiplied by 30 teams = 1,200 players in the MLB
53 players multiplied by 32 teams = 1,696 players in the NFL.
1,696 - 1,200 = 496

There are 496 more players in the NFL then in the MLB.

4 0

3 years ago

When i triple my numberand subtract by 3 u get 83

sergeinik [125]

Laugh out loud a pun isn't it

3 0

3 years ago

The explicit rule for a sequence is given. an=4n−1 What is the recursive rule for the sequence?

Gnom [1K]

Answer:

$a_{n+1}=a_n+4$

Step-by-step explanation:

Have in mind the definition of the term $a_n=4\,n-1$ , and now work on what the term $a_{n+1}$ is based on the previous definition:

$a_{n+1} = 4\,(n+1)-1\\a_{n+1}=4\,n+4-1$

In the next step do NOT combine the numerical values, but try to identify the $a_n$ term ( $4\,n-1$ ) in the expression (notice the use of square brackets to group the relevant terms):

$a_{n+1}=4\,n+4-1\\a_{n+1}=[4\,n-1]+4\\a_{n+1}=a_n+4$

So now we have the term " $a_{n+1}$ " defined in a recursive manner based on the previous term " $a_n$ "

8 0

3 years ago