Question 3

You travel between these two mile markers and then find your average speed in miles per hour. Which equation does NOT represent

Jet001 [13]

Answer:

The correct option is C.

Step-by-step explanation:

The time in first figure is 3:00 pm and the time in second figure is 4:30 pm.

So total time taken by car is

$4:30-3:00=1:30$

It means total time taken by car is 1.5 hour.

The distance in first figure is 50 miles and the speed in second figure is 155 miles.

So total distance travelled by car is

$155-50=105$

It means total distance travelled by car is 105 miles.

The formula of speed is

$Speed=\frac{Distance}{Time}$

$Speed=\frac{105\text { miles }}{1.5\text{ hours}}$

Therefore option B represents the solution. Option B is incorrect.

Multiply both sides by 1.5 hours.

$1.5\text{ hours}\times Speed=105\text { miles }$

Therefore option D represents the solution. Option D is incorrect.

Divide both sides by speed.

$1.5\text{ hours}=\frac{105\text { miles }}{Speed}$

Therefore option A represents the solution. Option A is incorrect.

Option C can not represent the solution, therefore option C is correct.

8 0

3 years ago

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HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Debora [2.8K]

Answer:

6

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

Note the following:

$\frac{1}{3}=0.33333333333333333333333333333333333333333333333...$

or more simply $\frac{1}{3}=0.\bar{3}$

This means that $2\frac{1}{3}=2.\bar{3}$

Going back to the original expression, $3\frac{2}{3}+2.\bar{3}$ simplifies to $3\frac{2}{3}+2\frac{1}{3}$

Next, adding mixed numbers. For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because

$3\frac{2}{3}+2\frac{1}{3}$ means the same thing as

$(3+\frac{2}{3})+(2+\frac{1}{3})$

Changing the order, we can write it as

$3+2+\frac{2}{3}+\frac{1}{3}$

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same). Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same. So, add the numerators, and the denominator will stay as a 3.

$\frac{2}{3}+\frac{1}{3}$

$\frac{1+2}{3}$

$\frac{3}{3}$

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

*(except if the number we're talking about is zero)

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5. Returning to our expression...

$3+2+\frac{2}{3}+\frac{1}{3}$

$5+\frac{3}{3}$

$5+1$

$6$

7 0

2 years ago

What is 9999999999999999999999999999999×99999999999999999999999991112

Neko [114]

1e+60
Is the answer because it just becomes another problom as you do the math

3 0

3 years ago

A proportion is shown. x36=1512 What is the value of x?

Fudgin [204]

42 is the right answer

3 0

3 years ago

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How many x-intercepts does the graph of y = 2x^2 – 8x + 5 have?

nydimaria [60]

A graph of the equation shows the appropriate choice to be
C. 2

_____
If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
d = b²-4ac
For your equation, this evaluates to
d = (-8)²-4(2)(5) = 64 -40 = 24
When the discriminant is positive, the function has two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).

8 0

3 years ago

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