A web store offers two versions of a popular song. The size of a standard version is 2.9 MB. The size of the high-quality version is 4.4 MB. Yesterday, there were 910 downloads of the song, for a total download size of 3014 MB. How many downloads of the standard version were there
Answer:
This problem is a great systems of equations problem--you have two different variables: song size and number of songs.
Let's call the number of standard version downloads (S) and the high quality downloads (H).
You can make two statements:
For number of songs downloaded: S + H = 910
For download size: 2.8(S) + 4.4(H) = 3044.
S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:
2.8(S) + 4.4(910 - S) = 3044
2.8S + 4004 - 4.4S = 3044
-1.6S = -960
s = 600
Your question only asks for the standard version downloads, but to help you out in future Systems situations-
You can also solve for H once you have S by plugging it into either of your equations like this:
600 + H = 910
-600
H=310
Step-by-step explanation:
hope it help
*comment if my answer is wrong*
Find the volume, in cubic centimeters, of the rectangular prism pictured below.
Answer:
V= 18.75 cm^3
Step-by-step explanation:
The formula for finding the volume for any given shape is V = L x W x H.So, multiply 2 1/2 cm x 2 1/2 cm x 3 cm.This gives you 18.75 cm^3How many square feet of outdoor carpet will we need for this hole? HELP PLS!!!
Answer: The answer is 39 square feet.
Step-by-step explanation:
By saying square feet it's indicated that you mean the area of this irregular figure.
To do this you can break apart the shape into two pieces.
The first 11 x 3 rectangle then the 2 x 3 rectangle.
Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.
PLEASE HELP ME!!!
You and your friend got tricked into helping another friend move stuff from a garage into moving truck. The ramp used is 12 feet long and makes a 36° angle with the horizontal ground. You discover that the incline is just too steep, so you replace the ramp with one that is 32 feet long. What angle does this replacement ramp make with the ground? Round your answer to the nearest tenth of a degree
Answer:
12.73 Degrees
Step-by-step explanation:
I'm going to assume some things. The height of the truck is not changing, i.e. the the distance and length of the ramp is but the height stays the same.
We draw our right triangle, see photo
We really only care about finding out what side a is so
[tex]c = \frac{a}{ \sin(x) } [/tex]
Note: Let x = A
[tex]12 = \frac{a}{ \sin(36) } [/tex]
[tex]12 \sin(36) = a \\ a = 7.05342302750[/tex]
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{12} ) \\ = 35.9999 \: degrees[/tex]
So, since I stated that height did not change, same process just using 32 for the hypotenuse.
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{32} ) \\ = 12.73367164 \: \: degrees[/tex]
The value of x must be greater than
B
12
...d
0 0
A
15
0 1
O 3
07
9514 1404 393
Answer:
(c) 3
Step-by-step explanation:
The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.
x > 3
f(x) = x^2 What is g(x)?
A. g(x) = - x^2 -2
B.g(x) = x^2 - 2
C. g(x) = - 2x^2
D. g(x) = - x^2
Answer:
C. g(x) = -2x^2
Answer:
A. g(x) = - x^2 -2
Step-by-step explanation:
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
Answer:
2√3 = hypotenuse
√3 = side
Step-by-step explanation:
[tex]\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\[/tex]
Answer:
the smaller side=√3
hypotenuse=2√3
Step-by-step explanation:
(see the attachment below)
PLEASE HELP DUE TONIGHT All three are separate anwsers. All help is greatly appreciated
Answer:
1: 10+6 x 6 = 96cm
2: 14 + 8 x 5 = 110cm
3: 9 + 14 x 20 = 460cm
Step-by-step explanation:
Hope this helps.
JS
2
Next
Area: Mastery Test
Subm
2.
Select the correct answer from each drop-down menu.
units
6 units
4 units
12 units
The area of the triangular section is 4 square units. The area of the entire figure is
square units.
Reset
Next
Answer:
The area of the triangular section is 12 square units. The area of the entire figure is 60 square units.
Step-by-step explanation:
The area of the triangular section is 12 square units and the area of the entire figure is 60 square units
How to determine the area?The dimension of the triangular section is:
Base = 12 - 6 = 6 units
Height = 4 units
So, the area is:
Area = 0.5 * Base * Height
This gives
Area = 0.5 * 6* 4
Area = 12 square units
The area of the entire figure is then calculated as;
Area = Triangle + Rectangle
This gives
Area = 12 + 12 * 4
Evaluate
Area = 60
Hence, the area of the triangular section is 12 square units and the area of the entire figure is 60 square units
Read more about areas at:
https://brainly.com/question/24487155
What is the cube root of -729ab6?
O-9ab2
O
-9ab3
O-8a3b2
O
-8a²b3
Answer:
Step-by-step explanation:
The way they are written, question does not fit any of the choices. Did you mean ∛(-729ab⁶) ? ∛(-729a³b⁶) ?
First, write the expression Second, 7 in fol the variable, p. Third, by 7 and 5. The answer is
Answer:
p-5
substitute
simplify
subtracting
2
Step-by-step explanation:
got it right on edg
For each line, determine whether the slope is positive, negative, zero, or undefined. Line 1 Line 2 Line 3 Line 4 Positive O Negative O Zero O Undefined O Positive O Negative Zero O Undefined Positive Negative Zero O Undefined O Positive Negative Zero O Undefined Х $ ? Continue o Type here to search ㅇ
Answer:
Line 1: zero
Line 2: negative
Line 3: undefined
Line 4: positive
Step-by-step explanation:
Line 1 => slope is horizontal. The slope of horizontal lines are always equal to 0. Therefore, the slope of line 1 is zero.
Line 2 => the line slants downwards form our left to the right, this implies there is a decline or increase. Thus, the slope would be negative.
Line 3 => the line of a vertical line is always undefined. Line 3 slope is therefore undefined.
Line 4 => the slope slants upwards from our left to the right. This indicates a rising slope or an increase. Therefore, the slope of line 4 is positive.
please answer you will be awarded brainleist
Answer:
Hi, I'm here!
Find all real zeros of the function.
5. f(x) = x3 - 3x2 - 6x + 8
6. g(x) = x3 + 4x2 - x - 4
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
Answer:
??????????????
Step-by-step explanation:
What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
In need of help with functions in Algebra 2! Thank you!
Answer: The answer should be B
Solvefor x. 3x+ 2 = 9 –x
Answer:
x = 7/4
Step-by-step explanation:
3x+ 2 = 9 –x
3x + x = 9 - 2
4x = 7
x = 7/4
Simplify the radical expression. ⁴√81x²⁰y²⁴
I think it's either A or B
Answer:
3x^5y^6 (a)
Step-by-step explanation:
La raiz de un productor es igual al producto de las raices de cada factor
^4√81 ^4√x^20 ^4√y^24
escriba el numero en forma exponencial an base 3
^4√3^4 ^4√x^20 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 y^6
simplifica el indice de la raiz y el exponente usando 4
3x^5y^6
Csc(tan^1 square root 17 divided by 8)
Please help fast!!!
Answer:
Option D
Step-by-step explanation:
We have that:
csc(x) = 1/sin(x)
Then:
csc( tan(√(17)/8)^-1 )
To use the inverse tangent function, you can go to the "inv" button in your calculator, and then use go to the "tan" button.
This is equal to:
= csc( 27.26°)
= csc(27.26°)
= 1/sin(27.26°) = 2.18
And we know that:
(9*√17)/17 = 9/√17 = 2.18
Then the correct option is D.
2 + 2
a. 4
b. 5
c. 2222
d.21
Answer:
The correct answer is A. 4
What is JM? please help :((
Answer:
I think its D 30
Step-by-step explanation:
A bag of trail mix contains 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds, and 2 ounces of raisins.
What is the ratio of ounces of peanuts to ounces of almonds? Write the ratio in three different ways?
Answer: 9514 1404 393
3 : 2
3/2
1.5
Step-by-step explanation:
Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)
3 ounces of peanuts to 2 ounces of almonds can be written as ...
peanuts : almonds = 3 : 2 = 3/2 = 1.5
PLEASE Solve y=-2.4x+8.2
Given the expression 5+3(7-4), which mathematical terms describe (7-4)? Select all that apply.
The term ( 7 - 4 ) is described as a difference or subtraction
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 5+3(7-4).
Two or more expressions with an Equal sign is called as Equation.
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 5 + 3 ( 7 - 4 )
And , ( 7 - 4 ) is described as a difference or subtraction between 7 and 4.
On simplifying , we get
A = 5 + 3 ( 3 )
A = 5 + 9
A = 14
Therefore , the value of A = 14
Hence , the term ( 7 - 4 ) is described as a difference or subtraction
To learn more on Expressions click:
https://brainly.com/question/14083225
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The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?
Length = 4m
width = 6m
Answer: 24m
Step-by-step explanation:
How much carpet is asking the area and area= LW
so Length(4) x Width(6) = 24
If m∆D = 16x + 13° and m∆B = 19x - 8°, then what is the degrees measure of arv ABC?
Answer:
45 degree
Step-by-step explanation:
Julio invests $6,100 into an account that earns 5.2% annual compound interest. If Julio makes no additional deposits or withdrawals, which best represents the amount of interest Julio will earn after 8 years?
A $15,250.73
B $2,120.73
C $3050.73
D $9150.73
D) $9150.73
Step-by-step explanation:
Simple compound irate =
principal*growth rate^years
or
V(t) = p*g^t
Where g = 100% + the given growth rate,
in this case, 5.2%
So,
V(8) = 6,100*1.052^8
V(8) = 9150.73
If the radius of a circle is one what is the sin and cosine
The unit circle is a circle with radius 1 centered at the origin of the Cartesian Plane. In a pair of coordinates (x,y) on the unit circle x2+y2=1, coordinate x is the cosine of the angle formed by the point, the origin, and the x-axis. Coordinate y is the sine of the angle.
11. Find SP, if MP = 5500, discount = 20%.
12. A car is moving at a constant speed of 40km/hr. Find the distance it will
cover in 15 minutes.
13. Find the area of a rhombus, whose diagonals are 5cm and 8cm long.
14. Find the smallest square number which is divisible by each of the numbers
6.9 and 15.
please give me an answer for these question
Answer:
11. 4400
Step-by-step explanation:
11.
solution :
MP = RS 5500
Discount = 20%
SP = MP - D % of MP
= 5500 - 20 % × 5500
= 5500 - 1100
= Rs 4400
Please can someone help me. I’m giving POINTS!! Solve for X
Answer:
6
Step-by-step explanation:
By inscribed angle theorem
[tex](15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6[/tex]