Answer:
2/5 × -6 = -16
is the mathematical expression
Answer:
8 movies and 6 video games
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Step-by-step explanation:
Given




Required
Determine the items Lonnie can afford
To solve this question, we make use of trial by error method by taking the options one at a time:
Option 1: 6 movies and 4 video games
<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>
<em />
Option 2: 14 movies and 7 video games



<em>This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.</em>
<em />
Option 3: 2 movies and 10 video games
<em>This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.</em>
<em />
Option 4: 8 movies and 6 video games



Hence, the correct option is <em>8 movies and 6 video games
</em>
25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
The values of the x in the given equation are x = 6.46 and x = -0.46
<h3>Solving an equation </h3>
From the question, we are to solve the equation for x
The given equation is
(x+3)² -10 = 2
First, add 10 to both sides of the equation
(x+3)² -10 +10 = 2 +10
(x+3)² = 12
Now, take the square root of both sides to get
x + 3 = ±√12
∴ x = 3 ± √12
x = 3+√12 OR 3-√12
x = 3 + 3.46 OR 3 - 3.46
x = 6.46 OR -0.46
Hence, the values of the x in the given equation are x = 6.46 and x = -0.46
Learn more on Solving an equation here: brainly.com/question/24334139
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ANSWER
C. 7
EXPLANATION
We want to evaluate

We use the order of operations PEDMAS.
Dealing with the parenthesis first,we have

Note that:

and

Our expression now becomes:

Next, we add to get:

We finally subtract to get,

The correct answer is C