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3 years ago

If someone runs 4 miles in 30 minutes how many will they run in 48 minutes

1 answer:

4 0

First find out how fast they run 1 mile by dividing the time they ram ( 30 minutes) by the number of miles they ran (4)

30 minutes / 4 miles = 7.5 minutes per mile

now we know how fast they run divide the new overall time (48 minutes) by the speed (7.5 minutes) to find the number of miles they will run

48 / 7.5 = 6.4 miles

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Brenda and Michael simplify the expression, as shown below.

prisoha [69]

It looks like Brenda did since Michael forgot to take out the parenthesis<span />

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2 years ago

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Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

agasfer [191]

From the recursive rule

$a_n = a_{n-1}-13$

it follows that

$a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13$

$a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13$

and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

$a_n = a_1 + (n-1)\times13$

so that the explicit rule for the n-th term in the sequence is

$a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}$

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2 years ago

Item 8 factor −5 out of −10a−25.

egoroff_w [7]

To factor a number out of an expression means to divide each term of the expression by that number.

So, if you want to factor $a$ from the expression $x+y+z$ , you'll write it as

$a\left(\dfrac{x}{a}+\dfrac{y}{a}+\dfrac{z}{a}\right)$

So, in your case, when you divide both terms by -5 you get

$-10a \div (-5) = 2a,\quad -25\div (-5) = 5$

So, the expression becomes

$-10a-25 = -5(2a+5)$

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3 years ago

given 2 parallel lines and a transversal that intersects both parallel lines what must be true about pairs of corresponding angl

Phantasy [73]

If two parallel lines are cut by a transversal, the corresponding angles are congruent.

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2 years ago

Evaluate (13+2) Divided by(9-4)

skelet666 [1.2K]

Answer:

Step-by-step explanation:

following the order of operations, whatever is in the parentheses gets done first. so you would add 13 + 2 and get 15. then you would subtract 9-4 and get 5. then you would divide the numbers that you got and get 3.

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3 years ago

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