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elena-14-01-66 [18.8K]
2 years ago
14

8(7n-2) -6(7n+1) Explain please

Mathematics
2 answers:
Verizon [17]2 years ago
8 0

Answer:

<h2>8(7n - 2) - 6(7n + 1) = 14n - 22</h2>

Step-by-step explanation:

8(7n - 2) - 6(7n + 1)

use the distributive property: a(b + c) = ab + ac

= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1

= 56n - 16 - 42n - 6

combine like terms

= (56n - 42n) + (-16 - 6)

= 14n - 22

LenKa [72]2 years ago
8 0

Answer:

=> 14n - 22

Step-by-step explanation:

8(7n-2) -6(7n+1)

=> 56n - 16 - 42n -6

=> 14n - 22

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$230 divided by 1/4 = 57.5
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Sylvia and Darlene collect seashells.
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Step-by-step explanation:

240 divided by 4 is equal to 60

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Help me please. I am having troubles with my math homework.
jeyben [28]

Answer: (3) f(8) = g(8)

<u>Step-by-step explanation:</u>

Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4

<u>      f(x)       </u>                      <u>      g(x)        </u>            <u>Comparison</u>

f(x) = 2x - 3                     g(x)=\dfrac{3}{2}x+1

f(0) = 2(0) - 3                     g(0)=\dfrac{3}{2}(0)+1

      = -3                                   = 1                     f(0) < g(0)

f(2) = 2(2) - 3                     g(2)=\dfrac{3}{2}(2)+1

     = 1                                      = 4                     f(2) < g(2)

f(8) = 2(8) - 3                     g(8)=\dfrac{3}{2}(8)+1

     = 13                                   = 13                     f(8) = g(8)

f(4) = 2(4) - 3                     g(4)=\dfrac{3}{2}(4)+1

      = 5                                   = 7                       f(4) < g(4)


The only statement provided that is true is f(8) = g(8)




3 0
3 years ago
Henry's patio is in the shape of a rectangle. He drew the given model of his patio. He said the perimeter of the patio is 48 fee
Artemon [7]

Answer:

The lengths of all sides of the patio are 15, 15, 9, 9.

Pls thank if this helped!!  :)

8 0
3 years ago
78 : 120 :: ? : 66<br>please give answer with explanation<br>​
yawa3891 [41]

Step-by-step explanation:

<u>Method</u><u> </u><u>1</u><u>:</u>

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

<u>Method</u><u> </u><u>2</u><u>:</u>

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

<u>Ans</u><u>w</u><u>er:</u> Hence the value of (?) for the given problem is 42.9.

<u>Verification</u><u>:</u>

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

4 0
2 years ago
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