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Gre4nikov [31]
2 years ago
13

n="absmiddle" class="latex-formula">
Mathematics
2 answers:
muminat2 years ago
8 0

Answer:

x=-2

Step-by-step explanation:

4(4x-4)+x+4=-46\\16x-16+x+4=-46\\17x-16+4=-46\\17x-12=-46\\17x=-34\\x=-2

Assoli18 [71]2 years ago
4 0

Step-by-step explanation:

Given that:

4(4x - 4) + x + 4 = - 46

Multiply the number outside of the bracket with numbers in the bracket on LHS.

⇛16x - 16 + x - 4 = -46

⇛16x + x - 16 - 4 = -46

⇛16x + x - 12 = -46

Shift constant from LHS to RHS, changing it's sign.

⇛16x + x = -46 + 12

Subtract and add the values on LHS and RHS.

⇛17x = -34

Shift the number 17 from LHS to RHS.

⇛x = -34/17

Simplify the fraction to get the value of x.

⇛-2

Therefore, x = -2

Please let me know if you have any other questions.

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y = (x - 2)(x - 6) ←  expand using Foil

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A gym charges $45 per month and a $75 one-time starting fee. Which of these will show how much it costs to join the gym for one
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Step-by-step explanation:

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if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coff
const2013 [10]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lydia is at a coffee shop and knows  she can spend no more than $65

before tax. She sees this price list in  the coffee shop.

Dark Roast Coffee    $7.50

Pumpkin Spice Coffee   $10.50

Breakfast Tea   $23.50

if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coffee can she buy?

Given Information:

Shopping Budge = $65

Price of   Dark Roast Coffee = $7.50

Price of Pumpkin Spice Coffee  = $10.50

Price of  Breakfast Tea  = $23.50

Amount of Breakfast Tea required = 1/2 pound

Amount of Dark Roast coffee required = 2 pounds

Required Information:

How many 1-pound  Pumpkin Spice Coffee can she buy = ?

Answer:

n = 3 bags of 1-pound Pumpkin Spice Coffee

Step-by-step explanation:

We are given that the amount of Breakfast Tea required is 1/2 pound so the cost of Breakfast Tea is

Cost of Breakfast Tea = 1/2*23.50 = $11.75

We are also given that the amount of Dark Roast coffee required is 2 pounds so the cost of Dark Roast coffee is

Cost of Dark Roast coffee = 2*7.50

Cost of Dark Roast coffee = $15

We know that total Lydia's total budget is $65

11.75 + 15 + 10.50x = 65

Where x represents the amount of Pumpkin Spice coffee required

10.50x = 65 - 11.75 - 15

10.50x = 38.75

x = 3.64 pounds

That means Lydia can buy 3.64 pounds of Pumpkin Spice coffee.

Now assuming that the Pumpkin Spice coffee is sold only in 1-pound bags then the required number of bags that Lydia can buy is

n = 3.64 pound/1-pound

n = 3.64

Since bags cannot be in fraction so

n = 3 bags

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