Ethan works at an electronics store as a salesperson. Ethan earns a 5% commission on the total dollar amount of all phone sales he makes, and earns a 4% commission on all computer sales. Ethan had twice as much in computer sales as he had in phone sales and earned a total of $117 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Ethan made and the dollar amount of computer sales he made. Define the variables that you use to write the system.


Answers

Answer 1

Answer:

0.05x+0.04y=117

y=2x

where:

x is the amount of all phone sales

y is the amount of all computer sales

Step-by-step explanation:

From the information given, the first equation would indicate that the comission of all phone sales plus the comission from all computer sales would be equal to 117, which is:

0.05x+0.04y=117, where:

x is the amount of all phone sales

y is the amount of all computer sales

Also, the statement indicates that Ethan had twice as much in computer sales as he had in phone sales, which would be:

y=2x

Now, you can replace y=2x in the first equation and solve for x:

0.05x+0.04(2x)=117

0.05x+0.08x=117

0.13x=117

x=117/0.13

x=900

Finally, you can replace the value of x in y=2x to find the value of y:

y=2(900)

y=1800


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Answers

Answer: 20× + 10 < 90

Step-by-step explanation:

Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

What is inequality?

Inequality is a mathematical statement that compares two values, expressing that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value.

Inequalities are commonly represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Let's assume Blake has to mow x lawns to have at least $90 saved.

Since he earns $10 for every lawn he mows, the amount he will earn by mowing x lawns is 10x.

Adding his initial savings of $20 to the amount he will earn from mowing lawns gives us the following inequality:

20 + 10x ≥ 90

Subtracting 20 from both sides:

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Dividing both sides by 10:

x ≥ 7

Therefore, Blake will have to mow at least 7 lawns to have at least $90 saved.

The inequality is: 20 + 10x ≥ 90

The solution is: x ≥ 7

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Answers

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Answers

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Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Dillon pays x dollars to get a haircut. He gives the stylist a
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Answer:

B

Step-by-step explanation:

the percentage of money to be paid is 125% which is equivalent to 1.25 in fraction

The equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that, Dillon pays x dollars to get a haircut. He gives the stylist a 25% tip. The expression representing his total cost is,x + 0.25x

Expressions that function identically while having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered.

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=1.25x

Thus, the equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

6x + 5 = 4x + 5
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Answer:

y=6x+5  →equation 1

y=4x+5 → equation 2

you can either substitute equation 1 in 2 or equation 2 in 1

substituting equation 1 in 2,

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9514 1404 393

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Step-by-step explanation:

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Question: Reflective symmetry over y = (3/5)x ?  

Answer:  No

-------

Question: Reflective symmetry over y = (5/3)x ?  

Answer:  No

================================================

Explanation:

For any parallelogram that's a square, we'll have four lines of symmetry: The two diagonals and two extra lines of symmetry for the opposite pairs of sides.

In this case, we don't have a square (we can prove this by finding the lengths of each side of the parallelogram), so we move on.

--------------

If the parallelogram is a rectangle, then we'll have two lines of symmetry: one for each pair of opposite sides.

However, we don't have a rectangle either. We can prove this by finding the slopes of the blue lines of the parallelogram, and finding they are not perpendicular slopes.

So we move on.

---------------

The last case is a parallelogram that isn't a rectangle. So it's not a square either. That's what we have here. For parallelograms of this nature, there are no lines of symmetry. We cannot fold it along any line to have it match up with itself.

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Step-by-step explanation:

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Answers

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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