Why can a fraction, a decimal, or a percent be written in equivalent forms?

Semenov [28]

Answer:

3/13(shade in 3)

Step-by-step explanation:

Make 52 denominators because it's of all cards. Next, find how many face cards there are for the numerator(3x4 since there are 3 face cards for each set and there are 4 sets) this gives you 12 and your fraction is now 12/24

Simplify that to above answer

8 0

3 years ago

Read 2 more answers

you work for a telecommunications company and need to analyze the outcome of a proposed new cell tower project. cell phone radio

umka21 [38]

Answer:

The equations describing the area which each tower covers are given as

Tower A : $x^{2} + y^{2} = 16$

Tower B : $(x - 5)^{2} + (y - 4)^{2} = 9$

Tower C : $(x - 4)^{2} + (y + 4)^{2} = 25$

Step-by-step solution:

Cell phone radio towers broadcast a cell phone signal in circular pattern

Tower A at Adele Acres have position co-ordinates as (0,0) and a coverage radius of 4 ml. So, the area which it covers is given by the equation,

$x^{2} + y^{2} = 16$ -------------------------------(1)

Tower B at Brown Lake have position co-ordinates as (5,4) and a coverage radius of 3 ml. So, the area which it covers is given by the equation,

$(x - 5)^{2} + (y - 4)^{2} = 9$ -------------------------------(2)

Tower C at Cady City have position co-ordinates as (4,-4) and a coverage radius of 5 ml. So, the area which it covers is given by the equation,

$(x - 4)^{2} + (y + 4)^{2} = 25$ -------------------------------(2)

4 0

2 years ago

Match the parabolas represented by the equations with their foci.

Elenna [48]

Function 1 $f(x)=- x^{2} +4x+8$

First step: Finding when $f(x)$ is minimum/maximum
The function has a negative value $x^{2}$ hence the $f(x)$ has a maximum value which happens when $x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2$ . The foci of this parabola lies on $x=2$ .

Second step: Find the value of y-coordinate by substituting $x=2$ into $f(x)$ which give $y=- (2)^{2} +4(2)+8=12$

Third step: Find the distance of the foci from the y-coordinate
$y=- x^{2} +4x+8$ - Multiply all term by -1 to get a positive $x^{2}$
$-y= x^{2} -4x-8$ - then manipulate the constant of y to get a multiply of 4
$4(- \frac{1}{4})y= x^{2} -4x-8$
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is $12- \frac{1}{4}=11.75$

Hence the coordinate of the foci is (2, 11.75)

Function 2: $f(x)= 2x^{2}+16x+18$

The function has a positive $x^{2}$ so it has a minimum

First step - $x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4$
Second step - $y=2(-4)^{2}+16(-4)+18=-14$
Third step - Manipulating $f(x)$ to leave $x^{2}$ with constant of 1
$y=2 x^{2} +16x+18$ - Divide all terms by 2
$\frac{1}{2}y= x^{2} +8x+9$ - Manipulate the constant of y to get a multiply of 4
$4( \frac{1}{8}y= x^{2} +8x+9$

So the distance of focus from y-coordinate is $\frac{1}{8}$ to the north of $y=-14$
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: $f(x)=-2 x^{2} +5x+14$

First step: the function's maximum value happens when $x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25$
Second step: $y=-2(1.25)^{2}+5(1.25)+14=17.125$
Third step: Manipulating $f(x)$
$y=-2 x^{2} +5x+14$ - Divide all terms by -2
$-2y= x^{2} -2.5x-7$ - Manipulate coefficient of y to get a multiply of 4
$4(- \frac{1}{8})y= x^{2} -2.5x-7$
So the distance of the foci from the y-coordinate is - $\frac{1}{8}$ south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when $x=8.5$ and $y=79.25$ . The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when $x=-2.75$ and $y=-10.125$ . Manipulating coefficient of y, the distance of foci from y-coordinate is $\frac{1}{8}$ to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when $x=1.5$ and $y=9.5$ . The distance of the foci from the y-coordinate is $\frac{1}{8}$ to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0

2 years ago

Explain what the equation 110d = 100d + 40 represents<br>in the context of the example problem.

Tanya [424]

<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

<h2 /><h2>Explanation:</h2>

See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:

Total cost for Oceanview:

$c=100d+40$

Total cost for Beachside:

$c=110d$

Where:

$c:Represents \ the \ cost \\ \\ d:Represents \ the \ number \ of \ day$

So we have to explain what the equation:

$110d=100d+40$

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>

<h2>Learn more:</h2>

Linear equations: brainly.com/question/12412678

#LearnWithBrainly

3 0

2 years ago

Flora has 33 flowers and she can pick 7 flowers a minute. Write an equation that shows how many flowers, F, that Flora will have

monitta

F=7M
33=M
Both answers will work

3 0

3 years ago