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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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1 in. : 12 ft

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Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.
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y=+- square root 7 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2  =  1 - 7/9 = 2/9 => x = +/- (√2) / 3

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Answer: x = +/-√(2/3)

y=+- 2 square root 2 over 2

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1 year ago
TJ is thinking of a number
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Answer:

\frac{1}{3}n - 5

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Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi
anyanavicka [17]

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

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The height of the cone is 9 \ cm

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It is given that the radius of the cone is 3 \ cm

The volume of the cone is 27\pi

The height of the cone can be determine using the formula,  

$V=\frac{1}{3} \pi r^{2} h$

Substituting the values V=27 \pi and r=3, we get,

$27 \pi=\frac{1}{3} \pi(3)^{2} h$

Multiplying both sides by 3, we have,

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4 0
2 years ago
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew ke
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Answer:

Almonds = 400grams

Cashew = 300 grams

Step-by-step explanation:

Let the grams of cashew be represented by = C

the grams of almonds be represented by = A

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel

C + A = 700g ......Equation 1

C = 700 - A

If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg

Let's convert them to grams

1 kg = 1000grams

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For cashew

= 336/1000 = 0.336g

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0.288A + 0.336C = 216

From Equation 1, substitute 700 - A for C in Equation 2

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Collect like terms

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- 0.048A = -19.2

A = -19.2/-0.048

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Substitute 400g for a in Equation 1

C + A = 700g ......Equation 1

= C + 400g = 700g

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Therefore, the number of grams of Almonds = 400grams

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