Answer:
Hey there!
8MB=3780 songs
16MB=3780(2), or 7560 songs.
If there are 12 songs per album, the 16MB music file can store 7560/12, or 630 albums.
Let me know if this helps :)
Write an English phrase that would translate into the following mathematical expression.
8(2-6)
Which of the following is equivalent to the expression 8(z - 6)??
Answer:
B. 8 times the difference of a number z and 6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Translate (z - 6)
z = a number z
- = difference
6 = six
(z - 6) = The difference between a number z and 6
Step 2: Translate 8(z - 6)
(z - 6) = The difference between a number z and 6
Since we are distributing the 8, we are multiplying.
8 times the difference of a number z and 6
Simply the expression 3(2x+5)
Answer:
6x+15
Step-by-step explanation:
(3) (2x+5)
(3) (2x) + (3) (5)
What are the terms in the expression, 2 + 6 + 10b - 8a?
a. 2, 6, 10b, and 8a.
b. 2, 6 , 10b, and -8a.
c. 2 + 6 and 10b - 8a.
Answer:
B
Step-by-step explanation:
Option b is our correct answer.
2, 6 , 10b, and -8a.
Given,
2 + 6 + 10b - 8a
We need to find the terms in the expression.
What are terms in an expression?Every expression is made of terms.
Example:
ax² + bx + c + d
ax², bx, c and d are the four terms that make the expression.
Example:
ax² - bx - c - d
ax², - bx, - c and - d are the terms in the expression.
Remember to take the sign along with the terms.
Find the terms in the expression.
We have,
2 + 6 + 10b - 8a
2 - one expression
6 - one expression
10b - one expression
-8a - one expression
Thus,
Option b is our correct answer.
2, 6 , 10b, and -8a.
Learn more about finding terms in an algebraic expression here:
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Is the number 3,600−−−−−√ rational or irrational?
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Thomas planted a seed and measured the height of the stem each week for four weeks.
• The stem grew 1 inch in the first week
•The stem grew 2 inches each week after the first week.
Which graph represents the growth of this plant?
Helplpppppp
5(5x+1)=25x-7 *
Answer:
25x+5=25x-7.
25x-25x=-7-5.
= -12.
Answer:
No solution.
Step-by-step explanation:
[tex]5(5x+1)=25x-7\\\\25x+5=25x-7\\\\25x+5-5=25x-7-5\\\\25x=25x-12\\\\25x-25x=25x-25x-12\\\\\boxed{0\neq-12}[/tex]
Hope this helps.
Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
Answer:
B
Step-by-step explanation:
got it right on edge
The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
What is Inverse of Function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
Given:
f(x) = x² – 2x
We can find the inverse function by solving for y:
x = f(y)
x = y² -2y
x +1 = y² -2y +1
x +1 = (y -1)²
√(x +1) = y -1
1 +√(x +1) = y
So, the inverse function is
[tex]f^{-1}[/tex](x) = 1 +√(x +1)
Thus, the minimum value of x for which the original function has this as an inverse is 1.
So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
Learn more about Inverse Function here:
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Which defines a circle geometry
Answer:
a circle is the locus of all points equidistant from a central point
You are most likely to encounter an irrational numbers when you’re
Answer:
Taking square-root of numbers
Step-by-step explanation:
The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.
Answer:
Finding the area of a circle
Step-by-step explanation:
Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?
Answer:
[tex]x=\sqrt[3]{2}+4[/tex]
Step-by-step explanation:
To "undo" this equation, we need to solve for x.
We begin with the equation
[tex]2=(x-4)^3[/tex]
To remove the cube, we need to take the cubic root of both sides
[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]
And the last step to solve for x will be to add 4 to each side
[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]
And there is our value for x
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=
Y=
Given :
The Tourist Information Center is located at (11,0) and the Bus Station is located at (-1,-10).
Also , Tourist Information Center is between a Bus Station and a Train Station.
To Find :
The point of location of train station .
Solution :
Let , point of location of train station is ( x,y ).
We know , mid-point of two points ( a, b) and ( c, d ) is given by :
[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .
Since , Tourist Information Center is between a Bus Station and a Train Station.
So , it is given by :
[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]
Comparing both coordinate :
[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]
and
[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]
Therefore , Train Station is located at point ( 23 , 10 ) .
Hence , this is the required solution .
Please Help
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.
Answer:
2y-18
Step-by-step explanation:
(y-9)2 -----Distributive property
2*y=2y
2*9=18
=2*y-2*9
=2y-18
Hope this helps ;) ❤❤❤
Answer:
yes
Step-by-step explanation:
Solve the literal equation for the given variable.
n = 4/5(m+7);m
Answer:
[tex]m = (5n/4) -7[/tex]
Step-by-step explanation:
[tex]n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7[/tex]
What is the solution to this equation?
X- 15 = -6
A. x= -9
B. x = 21
C. x= -21
D. x = 9
Answer: [tex]x=9[/tex]
Add 15 to both sides
[tex]x-15+15=-6+15\\x=9[/tex]
Steps to solve:
x - 15 = -6
~Add 15 to both sides
x = 9
Best of Luck!
Justin made a scale drawing of a city. The scale he used was 5 inches : 2 yards. A neighborhood park is 175 inches in the drawing. How wide is the actual park?
Answer:
68.8 yards
Step-by-step explanation:
We can do justice to this question using proportion,
Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z
Let us denote the field on map as Z
Then we can say
5 inches on the map/ 2 yards in the park = 175inches/ X yards
If we cross multiply
5(Z )= 172 × 2
5(Z ) = 344
Make Z subject of the formula
Z= 344/5
Z= 68.8 yards
Hence the the actual park is 68.8 yards
9k - 12 - 8k + 10 - 5k Please help and go fast I have limited time
Answer:
-4k-2
Step-by-step explanation:
Find F(10) in father function f(x) =-2x+4
Need answers ASAP
F(4)= If g(x)=2,x=.??
Answer:
f(4) = -10
x = 0
Step-by-step explanation:
From the graph attached,
For x = 4,
Value of the function will be,
f(4) = y value at x = 4
f(4) = -10
Similarly, for y = g(x) = 2,
x value of the function will be,
x = 0
For which g(0) = 2
Therefore, for x = 0 value of the function will be 2.
g(0) = 2
Answer:
f(4) = -10
Step-by-step explanation:
I don't understand how to solve this, please help!
Answer:
x+1 , x<-1
x²-bx-4 , -1≤x≤4
1/2 x +a
substitute x=-1 , continuous everywhere
x+1=x²-bx-4 when x=-1
-1+1=-1²-b-4
1+b-4=0 ⇒ +b-3 ⇒ b=3then for :
x²-bx-4=1/2 x +a for x=4
4²-4b-4=1/2x+a
16-4(3)-4=4/2+a
16-12-4-2=a
a=-2the equations will be :
x+1
x²-3x-4
1/2x-2
I hope this help
How can you use a number line to find the sum of -4 and 6?
Answer:
see explanation for number line\ $29$
Step-by-step explanation:
this is the answer guys.
Mr. Smith paid $232,300 for his home and $33,560 for his car. Mr. Lewton paid a total of $282,106 for his home and car combined. How much more money did Mr. Lewton pay than Mr. Smith for a home and car?
5th GRADE MATH! Select the statement that correctly compares two numbers. A. 6,092 > 6,092.001 B. 6,197.02 > 6,197.2 .C 6,232.01 = 6,232.1 D. 6,365.1 < 6,365.999
Answer:
D is correct
Step-by-step explanation:
A is incorrect because the lesser than is .001 higher
B is wrong since is .18 higher
C is wrong because its not equalone is .9 higher
Answer:
D
Step-by-step explanation:
6365.1<6365.999
the original recipe called for 3/8 cup of blueberries what is the ratio of blueberries to butter in the recipe? how many cups of blueberries are needed in the new enlarged mixture?
i'll mark the brainlest!!!
Answer:
If the recipe calls for 5/8 cup of butter, the ratio would be 3:5 (blueberries to butter), if the recipe was enlarged you can use the same method and find out the new ratio
5(2x - 8) = 90
A.5
B.10
C.13
D.15
Answer:
13
Step-by-step explanation:
5 (2x - 8) = 90
5 × 2x - 8 = 90
2x - 8 = 90 ÷ 5
2x - 8 = 18
2x = 18 + 8
2x = 26
2x/2 = 26/2
x = 13
13 is the answer to the question.
HW HELP! Will mark you BRAINLIEST!!
Answer:
16. DF = - 1-(-4) = 3
17. DE = -1/1/3 -(-4)
= - 5/3 + 12/3
= 7 / 3
18. FG = 2-(-1) = 3
19. FH = 3.5 - (-1) = 4.5
20. GH = 3.5 - 2 = 1.5
21. EH = 3.5 -(-1.5) = 5
22. AC = 16
3x + 7 = 16
x = 3
23. AB = x +7
= 10
24. BD = 2x + 3x - 1
=5(3) - 1
=14
25. CE = 3x - 1 + 2x + 3
=5x +2
=17
match with the appropiate property:
Answer:
inverse property of multiplicationStep-by-step explanation:
(5)(1/5)=1
Answer: inverse property of multiplication
Step-by-step explanation:
You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator
If you come across question like [the reciprocal of a] = 1/aSince 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.
Which phrase matches the algebraic expression below?
3(x + 7) + 10
Three times the sum of x and seven plus ten
Three times x plus the sum of seven and ten
Three times x minus seven plus ten
Three times the difference of x and seven plus ten
Answer:
Three times the sum of x and seven plus ten
Step-by-step explanation:
Three times= 3(times)
the sum of x and seven= x+7
plus 10= +10
which is the function represented below
Answer:
f(x)= x + 5
Step-by-step explanation:
The easiest way to find this is by plugging the values for x and f(x) into each equation until you find one where all number fit.
Please help me solve all three of these..
Answer:
5: x=27 (Positive)
8: x=9 (9 positive not negative)
11: x=24 (Positive not negative)
Step-by-step explanation:
5: 9*3=27 so 27/9
8: 38+7=45 45/5=9 so x=9
11: 15-7=8 8*3=24, 24/3-15=-7 so x=24
two numbers are in a ratio 2:3 and their sum is 35.find the numbers
Answer:
14 and 21 is the answer
Step-by-step explanation:
Hope it is helpful for you
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Answer:
[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
[tex] \sf{2x + 3x = 35}[/tex]
Solve for x.
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]
Divide both side by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
The value of x is 7.
Now, replacing the value of x in order to find the two numbers :
[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]
[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]
The numbers are : 14 and 21
Hope I helped!
Best regards! :D