Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. His sister has 35 songs. How many songs does Nathaniel have?
Answers
Answer:
42 songs.
Step-by-step explanation:
Let x represent the number of songs Nathaniel's has.
We have been given that Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. This means his sister has [tex]\frac{5}{6}x[/tex] songs.
We are also told that his sister has 35 songs. We can represent our given information in an equation as:
[tex]\frac{5}{6}x=35[/tex]
Let us solve for x.
[tex]\frac{6}{5}\cdot \frac{5}{6}x=\frac{6}{5}\cdot35[/tex]
[tex]x=6\cdot 7[/tex]
[tex]x=42[/tex]
Therefore, Nathaniel has 42 songs.
Related Questions
Evaluate 11p – 2 for p = 5.
Answers
Parenthesis show that you need to multiply
11*5 = 55
55 - 2 = 53
your answer should be 53.
I hope this helps you! :)
55- 2= 53
Two more than four times the sum of yesterday's high temperatures in degrees Fahrenheit and 7 is equal to the current temperature in degrees Fahrenheit.
a. Write an expression for the current temperature using t as yesterday's high temperature in your expression.
b. simplify the expression
c. if yesterday's high temperature was 3 degrees Fahrenheit, what is the current temperature?
Answers
4t + 28 + 2 =
4t + 30 <=== simplified
if yesterdays high temp is 3...
4t + 30 =
4(3) + 30 =
12 + 30 =
42 Fahrenheit <=== current temp
Need help with Solving for X
Answers
or,5+x-2+8=0
or,x+11=0
or,x= -11
how can you evaluate |-5|
Answers
If s is true and j is false, is the following true or false (~s v j) ^ (s v~ j)
Answers
~s = false
-------------
j = false
~j = true
-------------
~s = false and j = false, so,
~s v j = (false) v (false)
~s v j = false
-------------
Similarly,
s v ~j = (true) v (true)
s v ~j = true
-------------
We have
~s v j = false
and
s v ~j = true
which lead to this when we conjunct the two logical expressions
(~s v j) ^ (s v ~j) = (false) ^ (true)
(~s v j) ^ (s v ~j) = false
-------------
-------------
The final answer is false
how do you write S is the set of natural numbers that are less than 8 in roster form
Answers
In mathematics, the roster form is when we call a group of set members that is placed inside between brackets, and is separated by commas. So in this case, natural numbers which are less than 8 are 1 to 7, hence the roster form is:
{1, 2, 3, 4, 5, 6, 7}
The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m. The problem: (2,1), m=2
Answers
so the equation becomes y-1= 2(x-2)
A scooter travels 30 feee in 2 seconds.
What is the speed of the scooter in feet per second?
(If you get the question right you will be marked as brainliest.)
Answers
We have that for the Question "A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
" it can be said that the speed of the scooter in feet per second is mathematically given as
V=15ft/s
From the question we are told
A scooter travels 30 ft in 2 seconds.
What is the speed of the scooter in feet per second?
Generally the equation for the speed of the scooter in feet per second is mathematically given as
[tex]V=\frac{v}{s}\\\\Therefore\\\\V=\frac{v}{s}\\\\V=\frac{30}{2}\\\\[/tex]
V=15ft/s
Therefore
the speed of the scooter in feet per second is mathematically given as
V=15ft/s
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Solve by making an equation
The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the triangle is 106 feet. Find the three sides.
Answer:
Answers
then,
first side = twice the length of the second side
= 2x
third side = 20 feet less than three times the second side
3 (second side ) - 20
= 3 (2x) -20
= 6x - 20
perimete of a triangle = sum of all sides,
substitute the values we know,
and you'll be left with this equation
106 = x + 2x + 6x - 20
106+ 20 = 9x
126 = 9x
126/9 = x
14 = x
so,
measure of second side = x = 14 feet
measure of first side = 2x = 2 (14) = 28 feet
measure of thurd side = 6x - 20 = 6 (14)-20 = 84- 20 = 64 feet.
the three sides of the triangle are 42 feet, 21 feet, and 43 feet,
Let's denote the second side of the triangle as ( x ). According to the problem, the first side is twice the length of the second side, which makes it ( 2x). The third side is 20 feet less than three times the second side, so it is ( 3x - 20 ).
Now, we can write the equation for the perimeter of the triangle:
[tex]\[ \text{Perimeter} = \text{First side} + \text{Second side} + \text{Third side} \][/tex]
[ 106 = 2x + x + (3x - 20) ]
Now, combine like terms and solve for \( x \):
[ 106 = 6x - 20 ]
Add 20 to both sides:
[ 6x = 126 ]
Divide both sides by 6:
[ x = 21 ]
So, the second side is 21 feet. Using this, we can find the other two sides:
First side = [tex]\( 2x = 2 \times 21 = 42 \) feet[/tex]
Third side = [tex]\( 3x - 20 = 3 \times 21 - 20 = 63 - 20 = 43 \) feet[/tex]
Therefore, the three sides of the triangle are 42 feet, 21 feet, and 43 feet, respectively.
To recap the process:
1. Let ( x ) represent the second side of the triangle.
2. Write the equation for the perimeter using the given information.
3. Simplify the equation and solve for ( x ).
4. Substitute the value of ( x ) back into the expressions for the first and third sides to find their lengths.
5. Confirm the final answer by checking that the sum of the three sides equals the given perimeter.
complete question
Solve by making an equation
The first side of a triangle is twice the length of the second side; the third side is 20 feet less than three times the second side. The perimeter of the triangle is 106 feet. Find the three sides.
Answer:
PLEASE HELP I WILL GIVE 50 POINTS
Using the distributive property, an expression equivalent to 48 + 30 is
5(6 + 8).
(6)(8) + (3)(10).
(3)(16) + (6)(5).
6(8 + 5).
Answers
The first one is not enough, the second one is too much, and the third one is too much as well. The fourth on is the answer.
Answer:
Step-by-step explanation:
78
Identify the like terms.
2a, –2b, 2ab, –13ab
A.
2a, –2b, 2ab
B.
2ab, –13ab
C.
2a, 2ab
D.
2a, –2b
Answers
2ab, –13ab
hope this helps
Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive ?
Answers
If you divide each pizza into eight parts, each member would receive 1/8 of one pizza. Since there are three pizzas, each member would receive three 1/8 of a pizza, or 3/8.
You can prove this answer by multiplying 3/8 by 8, to get 24/8 simplified to 3.
Carrie and Krystal are taking a road trip from Greenville to North Valley. Each person has her own map, and the scales on the maps are different.
a) On Carrie's map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. How far is Greenville from North Valley?
b) The scale on Krystal’s map is 1 inch = 18 miles. How far apart are Greenville and North Valley on Krystal’s map?
Answers
a)Carrie's map indicates Greenville and North Valley are 90 miles apart. b) On Krystal's map, using a scale of 1 inch = 18 miles, the distance is 5 inches.
Part a:
On Carrie's map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. To determine the distance between the two locations:
Measure the distance on the map: 4.5 inches.
Multiply by the scale: 4.5 inches * 20 miles/inch.
Result: The actual distance is 4.5 * 20 = 90 miles.
Part b:
The scale on Krystal’s map is 1 inch = 18 miles. To find how far apart Greenville and North Valley are on Krystal's map, we use the actual distance calculated from part a (90 miles) and apply Krystal’s map scale:
Divide the actual distance by the scale: 90 miles / 18 miles/inch.
Result: The distance between Greenville and North Valley on Krystal's map is 90 / 18 = 5 inches.
solve the system by graphing y=2x^2+3x+1. Y=2x+1
Answers
the solution to the system of equations by graphing is [tex]\( (0,1), (-5/2,6) \)[/tex]
The correct option is (C).
The generated image above represents a graphical solution to the system of equations given:
[tex]\[ y = 2x^2 + 3x + 1 \][/tex]
[tex]\[ y = -2x + 1 \][/tex]
However, the graph does not clearly show the exact points of intersection between the parabola and the line. To find the solutions accurately, we would typically set the two equations equal to each other and solve for [tex]\( x \)[/tex]:
[tex]\[ 2x^2 + 3x + 1 = -2x + 1 \][/tex]
Solving this equation algebraically will give us the [tex]\( x \)[/tex]-coordinates of the points of intersection. The corresponding [tex]\( y \)[/tex]-values can then be found by substituting these [tex]\( x \)[/tex]-values back into either of the original equations.
Since I cannot perform this algebraic computation at the moment, you can solve the equation using the following steps:
1. Move all terms to one side of the equation to set it to zero.
2. Solve the resulting quadratic equation, either by factoring, completing the square, or using the quadratic formula.
3. Substitute the [tex]\( x \)[/tex]-values back into one of the original equations to find the [tex]\( y \)[/tex]-values.
Therefore, the correct option that represents the solution to the system of equations by graphing is:
C. [tex]\( (0,1), (-5/2,6) \)[/tex]
complete question given below:
Solve the system by graphing. y=2x^2+3x+1 y=-2x+1
A. (1,3), (4,7)
B. (1,3), (1/2,3)
C. (0,1), (-5/2,6)
D. (-5,5), (4,-2)
Goldbach''s Conjecture is a famous conjecture that has never been proven true or false. The conjecture states that every even number. except 2, can be written as the sum of two prime numbers. For example, 16 can be written as 5 + 11.
Answers
Hope this Helped
Mark me Brainliest!
math question down below
Answers
[tex] (5\frac{1}{4})/( -2\frac{1}{2}) =(20+1)/4/- (4+1)/2 = 21/4/-5/2 =-21/10 = -2.1[/tex]
0.199
to the nearest hundredth.
Answers
The number places on a number go as follows starting at 0. and going to the right
ones, tenths, hundredth
This means that 0.00 is the hundredth place (the bolded 0). Since you round a 9 up one, this makes the 1 in the tenths place go to a 2 and the hundredth go to a 0
How do you convert 10/6 into a mixed number
Answers
6 can go into 10 1 time and will have a remainder of 4. You bring the 4 up and place the 6 under it. This will give you the mixed number of 1 4/6 which can be reduced to 1 2/3
See the attached for a visual. Hope this helps. If you have further questions, please don't hesitate to ask.
Take care,
Diana
Which state ment is not true of athe function?
A. The independent variable is x.
B. the dependent variable is y
C. Whent he input is 1 the output is -2
D. When the input is 8 the output is 32
Answers
Bryce and Rachel are collecting canned goods for the local food bank. Bryce's goal is to collect 32 items. Rachel's goal is to collect 24 items. If Rachel and Bryce each meet their goal, what fraction of Bryce's goal does Rachel collect?
Answers
Rachel collects 3/4 or 75% of Bryce's goal if they both meet their goals in the canned goods drive
The question involves determining what fraction of Bryce's goal Rachel collects if they both meet their personal goals for a canned goods drive. Bryce's goal is to collect 32 items, and Rachel's goal is to collect 24 items. To find the fraction of Bryce's goal that Rachel collects, you divide Rachel's goal by Bryce's goal.
Here's the calculation:
Rachel's collection / Bryce's collection = 24 / 32 = 3/4
This means that Rachel collects 3/4 or 75% of the number of items that Bryce collects
500 - 137 = to what
Answers
Remember to stay litty
Suppose the Willard gold nugget was turned into 4 equal sized gold bricks. If one of the bricks was sold how many ounces of the Willard nugget would be left?
Answers
---- 197x4= 788 so if 197 oz was sold then 788-197= 591oz.
> There would only be 591 oz left
The number of ounces left after one brick is sold is 591.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Willard gold nuggets = 788 ounces
The number of equal-sized bricks = 4
Now,
The number of ounces in each of the 4 bricks.
= 788/4
= 197 ounces
Number of bricks sold = 1
The remaining ounces.
= 788 - 197
= 591 ounces
Thus,
The number of ounces left is 591.
Learn more about expressions here:
https://brainly.com/question/3118662
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Jeremy is practicing some tricks on his skateboard. One trick takes him forward 5 feet, then he flips around and moves backwards 7.2 feet, then he moves forward again for 2.2 feet. A: What expression could be used to find how far Jeremy is from his starting position when he finishes the trick? B: How far from his starting point is he when he finishes the trick?
Answers
Answer: 5ft - 7.2ft +2.2 ft = 0
When he finishes the trick he will be in the starting point.
Step-by-step explanation:
Hi, to write the expression we have to analyze the information given:
Forward: 5 feet Backwards: 7.2 feet Forward: 2.2 feetSo, we simply have to sum the tricks that takes him forward and subtract the tricks that take him backwards.
Mathematically speaking:
5ft - 7.2ft +2.2 ft = 0When he finishes the trick he will be in the starting point, because the expression equals 0.
Feel free to ask for more if it´s necessary or if you did not understand something.
how do you write the number 7.04 in expanded form?
Answers
its been a while since ive done this... lol
so if i remember correctly...
7.04...
oh boy... gimmie a min to look back at my math books....
what is the area of the figure?
Answers
The length of the hypotenuse is 24 ft. Let the side lengths of the 2 equal sides be a.
By the Pythagorean theorem we have:
[tex]a^2+a^2=24^2[/tex]
thus
[tex]2a^2=24^2[/tex]
divide both sides by 2, and take the square root:
[tex]a= \frac{24}{ \sqrt{2} } = \frac{24 \sqrt{2} }{2}=12 \sqrt{2} [/tex]
The area of the triangle is given by the formula:
(1/2)*side*side, so the area of the triangle is :
(1/2)*[tex]12 \sqrt{2}[/tex]*[tex]12 \sqrt{2}[/tex]=144 (square units)
Answer: 144 square units
Name all segments skew to GF.
D is the wrong answer.
Answers
Anna saves 5/8 of her money. What percent of her money does Anna save?
Answers
Solve for c.
a=11+4b−4c
A)c=a+b-11/-4
B)c=a+4b+11/-4
C)c=a-4b-11/-4
D)c=a-b+11/-4
Answers
a+4c=11+4b
4c=4b-a+11
c=(4b-a+11)/4
c=(a-4b-11)/-4
so the answer is 'C'
the answer is c
i hope it helped!
is 660 ten times as many as 600?
Answers
A recipe for a smoothie calls for 0.75 pounds of strawberries if Kerry has 3.15 pounds of strawberries how many batches of the recipe can she make
Answers
with .15 of a pound left to spare.