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Tems11 [23]
3 years ago
5

A race car was attempting to set a record the race car went 1000 feet in 4.5 seconds to the nearest Tenth what is the average sp

eed of the race car
Mathematics
1 answer:
V125BC [204]3 years ago
5 0

Answer:

222 ft/sec

Step-by-step explanation:

Essentially you're being asked to find the unit speed (that is, distance per sec).

1000 ft

------------ = 222 feet/sec is the approx. average speed / unit speed

4.5 sec

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Mrs.Anderson bought party favors for the 24 students in her class. Each favor cost $2.27. How much did all the party favors cost
laiz [17]
$54.48 because 24 x 2.27 = 54.48

7 0
3 years ago
Explain how you can rename 5,400 as hundreds.
balandron [24]

Answer:

The correct answer would be 54 hundreds

Step-by-step explanation:

If we are considering how many hundreds something has, we can simply take away two 0's and use that number.  We take the two 0's off and then we have the right number of hundreds

7 0
3 years ago
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A machine can make a box in 1 3/10 seconds. How many boxes can the machine make in 1 hour
Kazeer [188]

Since a machine make a box per 0.3 seconds, 1 hour would be 3600. 3600 divided by 0.3 is 12000. And that is the answer.

     

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3 years ago
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Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe
serg [7]

Answer:

s = 2q + 3

Step-by-step explanation:

A linear function has the form:

● y = mx + b

● y is the output of the function

● x is the variabke that we input

● b is the y-intetcept.

Focus on y and x.

Notice that y depends of the value of x. The value of y changes by changing x. So the value of x controls the output y.

y is dependent but x is not.

■■■■■■■■■■■■■■■■■■■■■■■■■■

● 6q = 3s - 9

We want q to be the independent variable wich means that q will be the input. Therefore s should be the output.

The strategy we are going to follow is separating s in one side alone.

● 6q = 3s - 9

Add 9 to both sides

● 6q + 9 = 3s -9 + 9

● 6q + 9 = 3s

Divide both sides by 3

● (6q + 9)/3 = (3s)/3

● (6q)/3 + 9/3 = s

● s = 2q + 3

So the answer is s = 2q + 3

6 0
3 years ago
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