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nalin [4]
3 years ago
10

A car travels at an average speed of 68 miles per hour. how many miles does it travel in 5 hours and 15 minutes?

Mathematics
1 answer:
blagie [28]3 years ago
5 0
Distance = rate times time.  Thus,

d = (68 mph) (5.25 hrs) = 357 miles (answer)
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Adam cut a piece of string 42 inches long into 2 pieces. The ratio of the length of the 2 peices is 3:4, what is the length, to
jek_recluse [69]

Answer:

Shorter piece length is 18 inches

Step-by-step explanation:

Let's marked first piece with x and second with y

x + y = 42

Given ratio is x : y = 3 : 4

From this proportion we get

x = 3 c  and y = 4 c   where c is coefficient of proportionality

when we replace this in initial equation we get

3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6    c = 6

x = 3 · 6 = 18 inches  and z = 4 · 6 = 24 inches

shorter piece is x = 18 inches

God with you!!!

6 0
3 years ago
Find an equation of the line that satisfies the given condition. (Let x be the independent variable and y be the dependent varia
NeTakaya

Answer:

y = 4

Step-by-step explanation:

  • A line parallel to the x-axis has the same value of the <em>dependent variable (y)</em> for all the values of the <em>independent variable (x)</em>.  Hence, the line would be an <u>horizontal line that  passes through the y-axis and never meets the x-axis</u>. Since this line satisfies the condition of passing through the coordenates (x,y), (-6,4), then the equation is equal to the value of the coordinate y.  

 

Therefore, the equation of a line that satisfies these two conditions is <em>y = 4</em>.

Download pdf
8 0
3 years ago
When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations?
Maksim231197 [3]
<span>The answer is:  [C]:  
__________________________________________________________
Multiply each side by −8, subtract 35 from each side.

___________________________________________________________
Explanation:
___________________________
Given: You have (-1/8)*(x + 35) = -7
________________________________________
Note that all the answer choices given start with: "Multiply each side by...."; 
</span>____________________
Given the choices, multiplying EACH SIDE of the equation by "(-8)" would make sense, since doing would cancel the "(-1/8)" on the "right-hand side" of the equation above to a "1" (i.e "cancel out" that ("-1/8") value); and would result in making the "right side" of the equation above ("-7") a positive integer number. 
 Then you would be left with:  x + 35 = 56 ; so the next step would be to:
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Subtract: "(35)" from each side of the question [hence the answer choice] to isolate "x" on one side of the equation; and to solve for "x".
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6 0
3 years ago
4(v – 6) + 5 = 4v - 19
erik [133]

Answer:

0

Step-by-step explanation:

is it helpful or not,?

8 0
3 years ago
A car company is testing a new type of tire. They want to determine the time to 60 mph from a full stop in light rain, light sno
Andrej [43]

Answer:

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Step-by-step explanation:

Previous concepts

By definition a factor usually known as "the independent variable is an explanatory variable manipulated by the experimenter".

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have p groups and on each group from j=1,\dots,p we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

And we have this property

SST=SS_{between}+SS_{within}

Solution to the problem

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Th use 5 experimental units that are selected from the an specific lot. And they want to test is the stopping distance is significantly different.

And for this case we can use a one way ANOVA to test if the means are equal  in the 3 groups.

3 0
3 years ago
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