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3 years ago

Expand the following: 6(x-4y)

Mathematics

2 answers:

maw [93]3 years ago

8 0

Answer:

to expand, use the distributive property. therefore, we get:

6x - 24y

Olenka [21]3 years ago

7 0

Answer:

6(x-4y)=6x-24y is expanded form.

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An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.

brilliants [131]

The 15th term of the arithmetic sequence $a_{15} = 64$

Option B is correct

The nth term of an arithmetic sequence is given as:

$a_{n} = a + (n - 1)d$

The first value, a = 22

$a_8 = a+(8 - 1)d\\a_8 = a + 7d$

Since $a_8 = 43$

$43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3$

The common difference, d = 3

$a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64$

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

4 0

2 years ago

Help me please in urgent

Stells [14]

Answer:

Step-by-step explanation:

20 times 10% is 2

7 0

2 years ago

Chesapeake Pizza prepares pizzas with as many as

postnew [5]

Hope I’m not as late but the cost per topping is 80 cents.

4 0

3 years ago

Read 2 more answers

A boat traveled 252 miles downstream and back. The trip downstream took 12 hours. The trip back took 84 hours. Find the speed of

Leokris [45]

Answer: the speed of the boat in still water is 12 mph and the speed of the current is 9 mph.

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

The boat travelled 252 miles downstream and the same distance upstream.

The trip downstream took 12 hours. Assuming the boat travelled with the wind when going downstream, the total speed would be (x + y) mph.

Distance = speed × time

The expression for distance travelled downstream is

252 = 12(x + y)

Dividing through by 12, it becomes

21 = x + y- - - - - - - - - - 1

The trip back took 84 hours. Assuming the boat travelled against the wind when going back(upstream), the total speed would be (x - y) mph.

The expression for distance travelled upstream is

252 = 84(x - y)

Dividing through by 84, it becomes

3 = x - y- - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

24 = 2x

x = 24/2

x = 12 mph

Substituting x = 12 into equation 1, it becomes

21 = 12 + y

y = 21 - 12

y = 9 mph

7 0

3 years ago

Nolan is deciding between two truck rental companies. Company A charges an initialfee of $90 for the rental plus $2 per mile dri

kotegsom [21]

first we writte the information they are giving to us:

For company A:

initial fee = $90

rent per mile = $2

For combany B:

initial fee = $50

rent per mile = $3

Now for company A the equation that represent the charge in one mile will be: (where n is the number of miles)

$\begin{gathered} A=90+2(n) \\ A=90+2(1) \\ A=90 \end{gathered}$

And for company B:

$\begin{gathered} B=50+3n \\ B=50+3(1) \\ B=53 \end{gathered}$

Now to determine the number miles driven, that would make the cost of each company the same, we have to make A = B

$\begin{gathered} A=B \\ 90+2n=50+3n \\ \end{gathered}$

and finaly we can solve for n

$\begin{gathered} 90-50=3n-2n \\ 40=n \end{gathered}$

so if they drive for 40 miles the will pay the same

7 0

1 year ago