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mote1985 [20]
3 years ago
11

The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities t

o model this situation. Use x to represent the number of boys and y to represent the number of girls
Mathematics
1 answer:
Fofino [41]3 years ago
5 0

Answer:

Step-by-step explanation:

Required

Represent the relationship between population of girls and boys

From the question, we have that

Boys = x\\Girls = y

<em>Given that y is greater than x in the classroom;</em>

<em>One of the keywords in the given data is</em><em> "Greater than"</em>

The inequality to represent the system is the greater than sign;

In other words, >

Bringing x, y and > together to form a complete inequality; we have

Girls > Boys

Replace Girls with y and Boys with x

y > x

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A cell phone that regular costs $780 is on sale for 15% off. What is the total cost of the phone if you have to pay 5.5% sales t
Alex_Xolod [135]

Answer:

$700

Step-by-step explanation:

Step one:

Given data

Regular cost of cell phone= $780

discount = 15%

tax = 5.5%

Step two

Let us compute the discounted amount

= 15/100*780

=0.15*780

=$117

hence the selling price is

=780-117

=$663

Also, the tax-deductible is

=5.5/100*663

=0.055*663

=$36.465

The total cost of the phone will be

=663+36.465

=699.465

=$700 to the nearest cent

8 0
3 years ago
PLEASEEE HELP !! in two the three sentences, explain how you would find the line of symmetry for the parabola whose equation is
Arada [10]

Answer:

<em>Axis of symmetry line  is parallel to y- axis</em>

Equation of the parabola <em> ( x - ( -2 ))² =  (y - 12 )   </em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given equation is y = x²+4 x+16

                            y =  x²+2 (2 ) x + (2)² - (2)² + 16

                           y   = ( x + 2 )² + 12

                         ( x + 2 )² = y - 12

                        <em> ( x - ( -2 ))² =  (y - 12 )   </em>

                         ( x- h)² = 4 a ( y - k)

            <em> Center (h ,k) = ( -2 , 12)</em>

<em>              Here   4 a  = 1 </em>

                          <em>  a = 1/4</em>

<em>Focus  S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)</em>

<em>Axis of symmetry line  is parallel to y- axis</em>

                           

5 0
3 years ago
What is the equation of the line that has an x intercept of -5
Nikitich [7]
The equation would be 5*x=????
6 0
3 years ago
Read 2 more answers
A soft drink machine outputs a mean of 24 ounces per cup. The machine's output is normally distributed with a standard deviation
Arisa [49]

Answer:

P(21

And we can find the probability with this difference

P(-1

And using the normal standard distribution or excel we got:

P(-1

Step-by-step explanation:

Let X the random variable that represent the soft drink machine outputs of a population, and for this case we know the distribution for X is given by:

X \sim N(24,3)  

Where \mu=24 and \sigma=3

We want to find this probability:

P(21

The z score is given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(21

And we can find the probability with this difference

P(-1

And using the normal standard distribution or excel we got:

P(-1

7 0
3 years ago
Adam uses coconut milk for the dessert.
dmitriy555 [2]
V=(π)(r^2)(h)

π=3
r=half of the diameter=4
h=12

V=(3)(4^2)(12)
    = (3)(16)(12)
        = 576 cm cubed 


4 0
3 years ago
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