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ziro4ka [17]
3 years ago
15

A Web music store offers two versions of a popular song. The size of the standard version is 2.4 megabytes (MB). The size of the

high-quality version is 4.8 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2880 MB. How many downloads of the standard version were there?
Mathematics
1 answer:
mina [271]3 years ago
5 0
X = standard and y = high quality

2.4x + 4.8y = 2880
y = 2x

2.4x + 4.8(2x) = 2880
2.4x + 9.6x = 2880
12x = 2880
x = 2880/12
x = 240 <== there were 240 standard version downloads

y = 2x
y = 2(240)
y = 480...there were 480 high quality version downloads
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Julio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per month, and e
torisob [31]

500= (19.50-8.00)x

500 = 11.50x

x=500/11.50=43.48

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3 0
3 years ago
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For the quadratic equation, state the axis of symmetry, vertex, and any intercepts.
dusya [7]

Answer:

Axis of Symmetry is x = 2

Vertex is (2, -9)

X Intercepts are (5, 0) and (-1, 0)

Step-by-step explanation:

Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a

a=1

b=-4

c=-5

--4/2(1) = 2

Plugin to find the y value of the vertex.

2^2-4(2)-5=y

4-8-5=y

y = -9

The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2

Factor the equation to put into intercept form.

(x-5)(x+1) = y

The equation can be FOIL-ed to get back to standard form.

Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.

For (x-5) your intercept is (5, 0)

For (x+1) your intercept is (-1, 0)

The x intercepts are where the parabola will cross the x axis on the graph.

3 0
4 years ago
How many ninths does it take to make the same amount as 1/3.
Tems11 [23]

It takes 3/9 to make 1/3.

You multiply the 1 (in 1/3) by 3, and you multiply the 3 (in 1/3) by 3. You get 3/9. You needed to multiply by 3 to make 1/3 have a common denominator is 9.

7 0
3 years ago
In a certain college, 33% of the math majors belong to ethnic minorities. If 7 students are selected at random from the math maj
Digiron [165]

Answer: a) 0.996, b) 0.253, c) 0.02.

Step-by-step explanation:

Since we have given that

Probability of success = Probability of the math majors belong to ethnic minorities = 33% = 0.33 =p

Probability of failure = q = 1-0.33 = 0.67

Number of students selected = 7

a) No more than 5 belong to an ethnic minority

So, using "binomial distribution", we get that

P(X\leq 5)=\sum^5 _{x=0} ^5C_x(0.33)^x(0.67)^{5-x}=0.996

b. Exactly three of them belong to an ethnic minority

So, it becomes,

P(X=3)=^7C_3(0.33)^3(0.67)^4=0.253

c. None of them belong to an ethnic minority

P(X=0)=^7C_0(0.33)^0(0.67)^7=0.02

Hence, a) 0.996, b) 0.253, c) 0.02.

8 0
3 years ago
13POINTS!!!
prohojiy [21]

Answer:

When we know all 3 sides we use the law of cosines

a = 47  

b = 11  

c = 38

cos (A) = (b^2+c^2-a^2)  / (2bc)

cos (A) = -0.7703349282

Angle A = 140.38

cos (B) = (a^2 + c^2 -b^2) / (2ac)

cos (B) =  0.9888017917

Angle B = 8.5826  degrees

cos (C) = (a^2 + b^2 -c^2) / 2ab

cos (C) = 0.8568665377

cos (C) = 31.033 degrees

Angle W would be the smallest angle so it equals

31.033 degrees or rounded to nearest tenth

31.03

Step-by-step explanation:

7 0
3 years ago
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