All categories

3 years ago

The Millers drove 150 miles in 3 hours. At this rate, how long will it take them to drive 400 miles?

Mathematics

1 answer:

netineya [11]3 years ago

6 0

Answer:

It will take 8 hours to drive 400 miles

Step-by-step explanation:

The millers drive 50 miles an hour. So we can write the proportion 1/50 = x/400. Then we solve for x and get 8 hours.

You might be interested in

Monica wants to rent online movies. The company Movies Plus charges a one-time fee of $20 plus $5 per movie. Movies-2-Go charges

UkoKoshka [18]

Answer:

Step-by-step explanation:20+5+7=32

4 0

3 years ago

Sean read 15 of a book in 112 hours.

makvit [3.9K]

Sean read 15 of a book in = 112 hours,
so, 1 of a book in = 112/15

Now, 12 of a book would be: 112/15 * 12 = 112/5 * 4 = 89.6

89.6 = 89 6/10 = 89 3/5

In short, Your Answer would be 89 3/5 hours

Hope this helps!

8 0

3 years ago

What is 7.436 rounded to the nearest tenth

Dmitriy789 [7]

It's 7.4 because the 3 doesn't round the 4 up.

8 0

3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

3 years ago

Read 2 more answers

What two numbers multiply to get 77 but add up to 18?

Mnenie [13.5K]

So the question says:
____ + ____ = 18
____ * ____ = 77
so the answer is 7 and 11 :)))
lets check it:
7 + 11 = 18
7 * 11 = 77
I hope this is helpful
have a nice day

6 0

3 years ago

Read 2 more answers