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1 year ago

Solve, using the substitution method.

Mathematics

1 answer:

Marina86 [1]1 year ago

8 0

Answer:

10/14

Step-by-step explanation:

substitute x in equation 2

y= 2(10) -6

y= 20 - 6

y= 14

substitute y in equation 2

14 = 2x - 6

-2x= -6-14

-2x= -20

divide both sides by -2

-20/-2

x= 10

y= 14, x= 10

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Twelve members of a band purchase one beverage each during a break at practice. Exactly 5 of the 12 members bought bottled water

Hoochie [10]

Answer:

Step-by-step explanation:

You have to use ratios. If 5 of 12 members bought water, then x of 168 members will buy water.

$\frac{5}{12} = \frac{x}{168}\\12x = 840\\x = 70$

70 members will buy bottled water.

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2 years ago

How many one-thirds are in one-sixth?

andrew11 [14]

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Step-by-step explanation:

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2 years ago

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Write an equation for each sentence 13 times the sum of a number and 5<br> is 91<br> I

Volgvan

Answer:13( n + 5) = 91

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2 years ago

Which of these numbers are perfect squares or perfect cubes? Select the THREE answers that apply. 8 16 32/ 64 128 6 Omestian 12

Murljashka [212]

Answer:

8, 16, 64

Step-by-step explanation:

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16 = 4^2 . . . a perfect square

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2 years ago

Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

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1 year ago