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kati45 [8]
3 years ago
12

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad

ult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs best models the situation?

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Solution:

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to s[end more than $30 an hour at health club.

\therefore 2x+3y\leq 30

Where, x and y should be greater than 0.

\therefore x\geq 0,y\geq 0

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x        y

 0        10

 6        6

 15      0

Here we have inequality. So, we have to take a test point (0,0)

2(0)+3(0)\leq 30\Rightarrow 0\leq 30

This statement is true. So, Graph will shade towards the test point (0,0)

Please see the attachment for graph.

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777dan777 [17]

Answer:

x = - 4

Step-by-step explanation:

Given

\frac{5}{3} x + 4 = \frac{2}{3} x

Multiply through by 3 to clear the fractions

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

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7 0
3 years ago
In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

<em>Hence the measure of m∠DAB is 120 degrees</em>

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Lady_Fox [76]

Answer:

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To double check, when you do 90 (The pages/amount) divided by 5 ( The time), then you get 18 again.

Therefore the answer is 18 pages per hour.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

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Expand and simplify pla
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Amy and Jade bought packages of gum. Amy bought a total of 48 pieces. Jade bought a total of 32 pieces. If each package had the
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