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densk [106]
2 years ago
6

A trip to Portland, Oregon, from Boston will take 7 3/4 hours. Assuming we are two-thirds of the way there, how much longer in h

ours will the trip take?
Mathematics
1 answer:
schepotkina [342]2 years ago
8 0
First turn 7 hours and 3/4 hours into a decimal number.  This will help when doing equations (the work).

This means finding the decimal value of 3/4.  3 divided by four is .75, which means that's the decimal value.  Now add 7.

The full decimal number is 7.75 hours.

Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.  

What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.  

One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.

Since the unit is hours, 2.58 represents 2.58 hours.

Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.

Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.

I hope this helped!




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You buy a pair of jeans at a department store. Jeans 39.99 Discount -10.00 Subtotal 29.99 Sales tax 1.95 Total 31.94 a. What is
Mariana [72]
A)

if 39.99 is the 100%, what is 10 in percentage? well

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
39.99&100\\
10&x
\end{array}\implies \cfrac{39.99}{10}=\cfrac{100}{x}

solve for "x".

b)

now, with the discount, the amount is 29.99, thus if 29.99 is the 100%, what is 1.95 from it in percentage?

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
29.99&100\\
1.95&x
\end{array}\implies \cfrac{29.99}{1.95}=\cfrac{100}{x}

solve for "x".

c)

the original price is 39.99, the markup on that is 60%, how much is that?
well 

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
39.99&100\\
x&60
\end{array}\implies \cfrac{39.99}{x}=\cfrac{100}{60}\implies 39.99\cdot 60=100x
\\\\\\
\cfrac{39.99\cdot 60}{100}=x\implies 23.994=x

now, after the discount, the price is 29.99, how much is 23.994 in percentage of 29.99?

well  \bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
29.99&100\\
23.994&x
\end{array}\implies \cfrac{29.99}{23.994}=\cfrac{100}{x}

solve for "x".
8 0
2 years ago
The planetarium, which is not marked on the map, is halfway between the historic village and the science center. What are its co
lutik1710 [3]
As I have seen this question before:

Coordinates of historic village: (-4 1/2 , 5 1/2)
Coordinates of science center: (-4 1/2 , -1 3/4)

To find the midpoint, we use:
((x₂ + x₁)/2) , (y₂ + y₁)/2) 
= ( (-4 1/2 + -4 1/2)/2 , (-1 3/4 + 5 1/2) / 2)
= ( -4 1/2 , 1 7/8)
6 0
1 year ago
Researchers have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how
DerKrebs [107]

Answer:

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

7 0
1 year ago
In order to produce 100 oatmeal cookies, Goodie Cookie Co. incurs an average total cost of $0.25 per cookie. The company’s margi
amm1812

Answer:

Option D : $20

Step-by-step explanation:

The average total cost to produce 100 oatmeal cookie = $0.25 per cookie.

So, total cost for 100 cookies will be = 0.25\times100=25 dollars

The company’s marginal cost is constant at $0.10 for all oatmeal cookies produced.

When 50 cookies are produced, the marginal cost will be = 0.10\times50=5dollars

The total cost to produce 50 oatmeal cookies = 25-5=20 dollars

Hence, option D is correct.

8 0
2 years ago
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can
earnstyle [38]

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

3 0
2 years ago
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