To determine the size of the home video collection one can save, subtract the used space (122 GB) from the total hard drive capacity (160 GB). The remaining space is 38 GB, which is the maximum size for the home videos that can be saved. The inequality representing the available space in terms of 'a' is: a ≤ 38 GB.
Explanation:The subject of this question is a practical application of mathematics related to computer storage space.
If the computer's hard drive has a total capacity of 160 GB and you have already used 122 GB, we can determine the remaining available space with a simple subtraction: 160 GB - 122 GB = 38 GB.
So, the size of the home video collection that you can save cannot exceed 38 GB.
To represent this as an inequality where u is the amount used, and a is the amount available, we can write:
u + a ≤ 160 GB
Since you've used 122 GB already, the inequality in terms of a alone is:
a ≤ 160 GB - 122 GB
a ≤ 38 GB
This inequality states that the amount of additional data (home videos) you can save, denoted as a, should be less than or equal to 38 GB, which is the available space remaining on your hard drive.
Final answer:
To determine the available space on your hard drive, subtract the amount used from the total capacity. The possible sizes of the home video collection you can save range from 0GB to a maximum of 38GB. The inequality a ≤ 38GB represents the amount of space available.
Explanation:
To determine the amount of space available, you subtract the amount of space used from the total capacity. In this case, the total capacity is 160GB and the amount used is 122GB, so the amount of space available is 160GB - 122GB = 38GB.
Therefore, the possible sizes of the home video collection you can save range from 0GB (if you don't save any videos) up to a maximum of 38GB (if you save videos that take up the entire available space).
The inequality that represents this is: a ≤ 38GB, where 'a' represents the amount of space available.
40 points!
What creates the convection current inside Earth?
A. Rising and sinking of material
B. Sideways movement material
C. Warming of material as it rises up
D. Cooling of material as it sinks down
Hello...
What creates the convection current inside Earth?
A. Rising and sinking of material
Answer: A. Rising and sinking of material.
Step-by-step explanation:
Convection currents are caused by the cooling of material as it rises up, which leads to the same material to sink. This material then warms as it sinks to rise again. This is why we call them convection currents. Because they both rise, and sink, in a circular motion we call the convection current.
show and tell why this is true: the square root of 4 times 9 equals the square root of 4 times the square root of 9. PLEASE HELP QUICK 15 POINTS
because the square root of 4 is 2 and the square root of 9 is 3 which means 2x3=6 and 9x4=36 and the square root of 36 is 6 because 6x6=36
There 10 less red skittles than orange skittles in the bag. The orange skittles are also twice the number of red skittles. Find the number of red and orange skittles in the bag
Answer:30
Step-by-step explanation:
20+10=30
5x-x/y when x=4 and y=2
5x-x/y when x=4 and y=2
5(4)-4/2
20-2
18
How to solve the equation:8y + 3y= 44
Add 8y+3y=11y
Divide 44/11y=4
Answer= 4
The solution to the equation 8y + 3y = 44 is y = 4.
To solve the equation 8y + 3y = 44, we can combine like terms and solve for y:
Combine like terms on the left side:
8y + 3y = 44
Simplify:
11y = 44
Divide both sides by 11:
11y/11 = 44/11
Simplify: y = 4
Therefore, the solution to the equation 8y + 3y = 44 is y = 4.
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Evaluate
4
E (2n-1)
n=1
16
the simplest way to evaluate is to substitute n = 1, 2, 3, 4 into the expression and sum the terms
= [(2 × 1) - 1 ] + [(2 × 2) - 1 ] + [(2 × 3) - 1] + [(2 × 4) - 1]
= 1 + 3 + 5 + 7 = 16
What fraction of 20 is 18?
Remark
You have to read this carefully to know what way to write it.
One way you could write it would be
20 * x = 18 where x is the fraction. Now all you need do is divide.
Divide both sides by 20
20/20 * x = 18/20
[tex]\text{x = } \dfrac{18}{20}[/tex]
But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.
18: 2 * 3 * 3
20: 2 * 2 *5
Cancel out the Highest common factor or 2.
You are left with
[tex]\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}[/tex] <<<< Answer
★ What fraction of 20 is 18?
In questions like these, when you see the word "of", it is usually used for the denominator. In your question, it says "of 20". That means the denominator will be 20.
Here is your current fraction:
[tex]\frac{x}{20}[/tex]
After that phrase, it says "is 18". The word "of" is used for the numerator. That means the numerator is 18.
Here is your fraction:
[tex]\frac{18}{20}[/tex]
You have your complete fraction, but it can be simplified. Both numbers are even(numbers that end with 2, 4, 6, 8, or 0) and every even number is divisible by 2. You can just divide both numbers by 2.
[tex]\frac{18 \div 2}{20 \div 2} = \frac{9}{10}[/tex]
You have your simplified fraction, which is [tex]\frac{9}{10}[/tex], and it cannot be simplified any further.
Your answer is [tex]\frac{18}{20}[/tex] which becomes [tex]\frac{9}{10}[/tex] when simplified.
If you have any questions, feel free to ask in the comments! :)
Teresa says she stacks about 7 dishes by hand every minute.
What line represents Teresa’s statement?
Line a
Line b
Line c
Line d
What is the slope of the line and what does it mean in this situation?
What is the slope of the line and what does it mean in this situation?
The slope is –2000 . This means that the helicopter descends 2000 ft each minute.
The slope is –400 . This means that the helicopter descends 400 ft each minute.
The slope is 400. This means that the helicopter ascends 400 ft each minute.
The slope is 2000. This means that the helicopter ascends 2000 ft each minute.
Line D Represents Teresa's statement
I think the slope could be choice 4 The slope is 400ft This means that the Helicopter ascends 400ft a minute
During a sparsely attended basketball game, 18 spectators cheered when Luca made two free throw shots, 6 spectators booed, and 32 spectators were silent. What's a simplified ratio of the number of spectators who cheered for Luca to the number of people who attended the game?
Answer:
9/28
Step-by-step explanation:
There are a total of 18+6+32 = 56 spectators.
Out of this total number, 18 cheered for Luca; this gives us the ratio
18/56.
Both of these are even numbers. This means we can divide both by 2:
(18÷2)/(56÷2) = 9/28
5d-4=4-d
solve the equation
Answer: d = 0
Step-by-step explanation:
5d - 4 = 4 - d
+d +d
____________
6d - 4 = 4
-4 -4
__________
6d = 0
__ __
6 6
d = 0
[tex]5d-4=4-d\\\\6d=8\\\\d=\dfrac{8}{6}=\dfrac{4}{3}[/tex]
[tex] \frac{4}{9}x = \frac{1}{6} [/tex]
Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inches. Now they have to decide whether the mean or the median is better. Which measure of center should the team use? Basketball team’s height (in inches) 64, 67, 83, 65, 66, 62, 69
First to find the median we need to put the numbers in order from least to greatest.
62, 64, 65, 66, 67, 69, 83
Now take a number from each side
64, 65, 66, 67, 69
Once again.
65, 66, 67
On last time
66
So the median is 66.
Now to find the mean we must add all the numbers up
64+67+83+65+66+62+69
which equals 476
Now divide 476 by the total number of heights which is 7
476/7=68
So the mean is 68
Answers: Mean; 68 Median; 66
Answer:
it's 68,66, and mean
Step-by-step explanation:
i did it on edge mu hehehehehehe
The sequence is 3,6... is multiplying by 2 correct or adding 3?
The sequence is adding by three
your answer is multiplying by 2
PLEASEE Can someone help with this? Look at picture
Answer:
Step-by-step explanation:
Answer is 72 cm2.For step by step explanation please find the attachment.
Consider that x = −5 and y = −4. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Your answer is A. The sum of x and y is a rational number .
Answer:
A) The sum of x and y is a rational number.
Step-by-step explanation:
We will first prove that the given values of x and y are rational and then we will prove the fact that the sum of two rational numbers is a rational number.
A rational number is a number which is in the form [tex]\frac{p}{q}[/tex], where p and q are integers and q ≠ 0.
We can write - 5 as [tex]\frac{-5}{1}[/tex] and clearly 1 ≠ 0.
So, x = -5 is a rational number.
Similarly, y = -4 is also a rational number.
For the second part of the proof, consider any two rational numbers [tex]\frac{p}{q}[/tex] and [tex]\frac{r}{s}[/tex].
Now,
[tex]\frac{p}{q} +\frac{r}{s} =\frac{ps+rq}{qs}[/tex]
Since p, q, r and s are integers, ps + rq is also an integer.
Moreover, since q ≠ 0 and s ≠ 0, qs ≠ 0.
Therefore, [tex]\frac{ps+rq}{qs}[/tex] is also a rational number.
Hence, sum of two rational numbers is also a rational number.
Since x = -5 and y = -4 are rational numbers, x + y = (-5) + (-4) = -9 is also a rational number.
kind of struggling, can anyone help?
a wheel has 16 spokes. How many spaces are there between the spokes?
Please help don't guess
So, just divide:
52.50 / 6 = 8.75
This means that she earns $8.75 an hour.
If this is her hourly salary, then multiply 8.75 x 11
8.75 x 11 = 96.25
So, if Paula works for 11 hours, she will earn $96.25!
Remark
I think you can only do this either as a 2 step question or as a proportion. The easiest way is the proportion.
Proportion
6 hours / 52.50 = 11/x Cross multiply
6*x = 52.50 * 11 Combine the factors on the right
6x = 577.5 Divide both sides by 6
6x/6 = 577.5/6
x = 96.25 Answer
If 2 rectangles have the same perimeter do they have to he congruent
Hey there!
Your answer is no.
I'll give an example to prove this wrong for you.
We have one rectangle with the dimensions of 2 x 6 units and another rectangle with dimentions of 4 x 4 units.
The perimiter of the first one is 16 because the four sides added up is 16: 2 + 2 + 6 + 6 = 16
The perimiter of the second is also 16. 4 + 4 + 4 + 4 = 16
So, they both have the same perimeter, but they are not congruent because their sides are different lengths.
Hope this helps!
a person who weigh 200 pound on earth would weght about 32 pound on the moon find the weght of person on earth who would weight 15 pound of the moon
What is 2⁴ x 2³ x 2⁶ simplified?
8192, 16 x 8 x 64, 24 = 16, 26= 64, 23= 8
Hey there!
[tex]2^4[/tex] [tex]= 16[/tex]
[tex]2^3[/tex] [tex]= 8[/tex]
[tex]2^6[/tex] [tex]= 64[/tex]
____________________________________________________________
[tex]16(8)[/tex] [tex](64)[/tex]
[tex]16(8)[/tex] [tex]= 128[/tex]
[tex]128(64)[/tex] [tex]= 8192[/tex]
Answer: [tex]8,192[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Write the equation of the line parallel to the given line and passing through the given point. y=x+5 through (8,1)
Conner opens a new savings account and decides to deposits $100 on the first day of each month into the account which earns 1.0% interest each month. How much is in the account to the nearest dollar, right after Conner makes his last deposit on the first day of the sixth year (the 61st month)?
Given:
monthly deposit, A=100
rate of interest, i = 1% per month = 0.01 per period
compounding period = 1 month (assumed).
Total payments :
n=60 payments of $100 at the end of the month (beginning of the next month) +
1 payment at the beginning of the first month.
Future value after 60 months
= amount due to 60 monthly payments at end of month + value of first payment
= A((1+i)^n-1)/i + A*(1+i)^60
=100(1.01^60-1) + 100(1.01^60)
= 8166.967 + 181.670
= 8348.64 (to the nearest cent)
Answer:
8348.64
Step-by-step explanation:
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily. In how many days will the second warehouse have 1.5 times more coal than the first one? I NEED THIS IN 5 MINS
Given
One warehouse had 185 tons of coal, another one had 237 tons
The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.
Find out in how many days will the second warehouse have 1.5 times more coal than the first one.
To proof
Let us assume that the number of days of delivered the coal = x
Take two cases
First case
As given in the question
One warehouse had coal = 185 tons
The first warehouse delivered 15 tons of coal to its clients daily
(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for first warehouse
= ( 185 - 15x)
( this equation represent the amount of coal left after x days)
Second case
second warehouse had coal = 237 tons
the second one delivered 18 tons of coal to its clients daily.
(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for the second warehouse
= ( 237 - 18x)
( this equation represent the amount of coal left after x days)
As given in the question
the second warehouse have 1.5 times more coal than the first one
Thus
( 237 -18x ) = 1.5× ( 185 - 15x)
237 - 18x = 277.5 - 22.5x
22.5x - 18x = 277.5 - 237
4.5x = 40.5
x = 9
Therefore the second warehouse have 1.5 times more coal than the first one in 9 days.
Hence proved
If a+b=−2a + b = -2a+b=−2a+b= -2 and x+y =−2 what is 4x+5a+4y+5b?
[tex]a + b = -2\ and\ x + y = -2\\\\4x + 5a + 4y + 5b = (4x + 4y) + (5a + 5b) = 4(\underbrace{x + y}_{=-2}) + 5(\underbrace{a + b}_{=-2})\\\\=4(-2)+5(-2)=-8+(-10)=-18[/tex]
which soil can not be rolled up into balls or clumps
Sand
Because as you may be able to see it just goes through your fingers.
For example if you go to the beach and pick up a handful of sand, then let go. It will most likely fall out of your hands.
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The density of gold is 19.3 g/cm3. What is the density in kilograms per cubic meter? A. 1.93 x 102 kg/m3 B. 1.93 x 104 kg/m3 C. 1.93 x 108 kg/m3 D. 1.93 x 10–1 kg/m3
The density of gold in kilograms per cubic meter is 1.93 x 10³ kg/m³.
Explanation:The density of gold is 19.3 g/cm³. To find the density in kilograms per cubic meter (kg/m³), we need to convert grams to kilograms and cubic centimeters to cubic meters.
1 g/cm³ = 1000 kg/m³.
Therefore, the density of gold in kg/m³ is 19.3 x 1000 = 1.93 x 10³ kg/m³.
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What is the perimeter of the park?
We are given a triangle with dimensions of the three sides as :
first side: 10x+3x²-8 feet
second side: 12x feet
third side: (15x+4) feet
Now perimeter of triangle is given by:
Perimeter = sum of three sides
So adding the three sides:
Perimeter = 10x+3x²-8 + 12x +15x+4
combining like terms and simplifying:
Perimeter = 3x²+37x-4
Answer: The perimeter of park will be (3x²+37x-4) feet.
What is the decimal expansion for 1/9
The decimal expansion of 1/9 is 0.1111..., which continues indefinitely. This is achieved by dividing the numerator (1) by the denominator (9). The decimal expansion of a fraction is the expression of that fraction in base 10 notation.
Explanation:The decimal expansion of the fraction 1/9 is 0.1111.... This is achieved by dividing the numerator (1) by the denominator (9). The process of long division would show you that 9 doesn't go into 1, so you add a decimal point and a zero, making the dividend 10. 9 goes into 10 once, so you put a 1 in the quotient above the line. This process repeats itself due to the nature of the divisor 9 and the decimal 0.1111... continues indefinitely.
It's important to note that the decimal expansion of a fraction is an expression of that fraction in base 10 notation. In other words, it is the fraction expressed as a decimal.
For some numbers, this can be a finite number of digits long, and for others, like 1/9, it can be infinitely repeating.
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Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base. After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen. He also finds that the perimeter of the pen is 3 times greater than the perimeter of the doghouse.
If x represents the length of the pen and y represents the area of the doghouse, then which of the following systems of equations can be used to determine the length and width of the pen and the area of the doghouse?