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3 years ago

Eric drove 248 miles in 4 hours. If he continues to travel at the speed, how far will he go in 7 hours and 30 minutes?

Mathematics

2 answers:

ozzi3 years ago

7 0

Answer:

465 miles

Step-by-step explanation:

Convert the time in hours to time in minutes, which would give us 4 hours to be 240 minutes and 7 hours 30 minutes to be 450 minutes.

Create a proportion.

$\frac{248 miles}{240 minutes} = \frac{x miles}{450 minutes} \\248*450 = 240x\\111600=240 x\\465 = x$

qaws [65]3 years ago

6 0

248/4=62
62•7 1/2=465 miles

He will go 465 miles in 7 hours and 30 minutes

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2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$

Therefore, $2(a^3+b^2+11)+1(3+a^3+b+11)$ is equal to:

$2a^3+2b^2+22+a^3+b+14$

Now, combining like terms using the commutative property of addition, we get:

$=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36$

Therefore, the simplified form is $3a^3+2b^2+b+36$

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3 years ago

Can a -150/10 be classified as both a rational number and a integer

irakobra [83]

Yes! This is because -150/10 can be simplified to be -15, which is a rational number.

The word “rational” sounds like another math word you’ve heard of before. Do you know what it is?

Well, it’s “ratio”!! Ratios can be seen in the forms x:y and x/y.

ANY RATIONAL NUMBER HAS THE ABILITY TO BE WRITTEN AS A RATIO!! This will completely exclude numbers with super long decimal points (ex: 1.2345678809928374737272828...)

This number also meets the requirements of being an integer. An integer is any whole number (this excludes decimals and fractions)

I know it’s written as a fraction. However, the fraction could be simplified, making it -15, which means this is both a rational number and an integer!!

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steposvetlana [31]

Answer:

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tankabanditka [31]

Answer:

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Step-by-step explanation:

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2 years ago

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Sophie [7]

Answer:

Step-by-step explanation:

180=(x+30)+(4x)

Ok, combine like terms. That'll give you

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