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3 years ago

11

You are downloading songs to your MP3 player. The ratio of pop song to rock is 5 : 4. You download 40 pop songs. how many rock s

ongs do you download?

2 answers:

Anna [14]3 years ago

8 0

The Answer is 50 I hope this help :)

nekit [7.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

50

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Felicity baby sat 2 hours each night for 10 nights. She earned a total of $180 babysitting. Felicity wants to calculate her hou

natulia [17]

Answer:

To find Felicity's hourly rate you first want to find out how many hours she has babysat altogether. In order to do this we need to take 2*10=20

With that 20 we can divide it by 180 to find her hourly rate

180/20= 9

So she makes $9 an hour

Step-by-step explanation:

7 0

2 years ago

How do you put q fraction into a decimal

mafiozo [28]

It all depends on the fraction.

1/2=.5 because half of 1 is .5 and half can be represented as 2

8 0

3 years ago

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is:

$y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4$

$y = -5.333$

$(x,y) = (2, -5)$ does not belong to the function, the real point is $(x,y) = (2, -5.333)$ .

5 0

2 years ago

The hundreds digit and the ones digit of a three digit number are the same. The sum of its tree digits are 16. If the tens digit

tensa zangetsu [6.8K]

<h2>727</h2>

Step-by-step explanation:

Let us denote the three digit number by $abc$ , where $a$ is the hundreds digit, $b$ is the tens digit and $c$ is the ones digit.

Hundreds digit = $a$ = Ones digit = $c$

Sum of digits = $a+b+c=16$

So, $2c+b=16$

On exchanging tens and ones digit, value increases by 45. So $acb$ is 45 greater than $abc$ .

$acb-abc=45$

$100a+10c+b-100a-10b-c=45\\9c-9b=45\\c-b=5$

$2c+b=16,c-b=5\\3c=21\\c=7=a\\b=2$

∴ Required number is 727

7 0

3 years ago

Find the volume of a cone with a height of 3.25 centimeters and<br> a diameter of 2.2 centimeters.

saveliy_v [14]

Answer:

As per Provided Information

Height of cone h is 3.25 cm

Diameter of cone is 2.2 cm

Radius = Diameter/2

Radius = 2.2/2

Radius = 1.1 cm

We have been asked to determine the volume of the cone .

<u>Using </u><u>Formulae </u>

$\boxed{\bf \:Volume_{(Cone)} = \cfrac{1}{3} \pi {r}^{2}h}$

Substituting the given value and let's solve it

$\sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times {1.1}^{2} \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 1.21 \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 3.9325 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 12.34805 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{12.34805}{3} \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = 4.11 {cm}^{3}$

<u>Therefore</u><u>,</u>

<u>Volume </u><u>of </u><u>the </u><u>cone </u><u>is </u><u>4</u><u>.</u><u>1</u><u>1</u><u> </u><u>cm³</u><u> </u><u>.</u>

3 0

2 years ago