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Wewaii [24]
3 years ago
7

5x - 7 = 8x + 14

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer: -7

Step-by-step explanation:

5x - 7 = 8x + 14 ->    5x = 8x + 21  ->   -3x = 21  ->   x = -7

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Hank has 50 peso, 200 peso and 500 peso bills in his wallet. He has five less 200 bills as 50 bills, and half as many 500 bills
Varvara68 [4.7K]

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.

<h3>How to apply systems of linear equations in real life equations</h3>

In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:

<em>y = x - 5</em>     (1)

<em>0.5 · y =</em> <em>z</em>    (2)

<em>x + y + z = 6250</em>     (3)

The solution of the system of <em>linear</em> equations is described below:

<em>x =</em> 2503, <em>y =</em> 2498, <em>z =</em> 1249

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. \blacksquare

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472

8 0
2 years ago
Which inequality does the given graph represent?
rosijanka [135]

The line is parallel to the bisector of the 1st and 3rd quadrants

y=x

except it is shifted down 2 units:

y=x-2

Since we're considering the area below the graph (not included), the inequality is

y

3 0
4 years ago
The number of boots that 12 students had in their homes in Florida were recorded below:
marin [14]
Minimum : 0
maximum: 12
first quartile: 1
median: 2
third quartile: 4
3 0
3 years ago
Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)
Molodets [167]

Answer:

Option D : \frac{x^2-9}{x^2-4} is the correct answer.

Step-by-step explanation:

Given rational expression is:

\frac{x+3}{x+2}*\frac{x-3}{x-2}

In the first step of solving the rational expression, we will multiply the nominators and denominators.

\frac{(x+3)(x-3)}{(x+2)(x-2)}

\frac{x^2-3x+3x-9}{x^2-2x+2x-4}

Now we will solve the alike terms.

\frac{x^2-9}{x^2-4}

The product of rational expression is \frac{x^2-9}{x^2-4}

Hence,

Option D : \frac{x^2-9}{x^2-4} is the correct answer.

8 0
3 years ago
Carol's Phone Service charges $17.62 for an activation fee plus $3 for every gigabyte (g) used. Which of the following graphs mo
KATRIN_1 [288]

Answer:

a

Step-by-step explanation:

17.62 y intercept

slope 1/3

7 0
3 years ago
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