A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is
4.8 MB. Yesterday, there were 1010 downloads of the song, for a total download size of 3039 MB. How many downloads of the high-quality version were there?
Miguel's grandparents love 159 miles from his house. if it takes 3 hours to drive to his grandparents house, what is the average speed?
Final answer:
To find Miguel's average speed, divide the distance to his grandparents' house, 159 miles, by the time it takes, 3 hours, which gives us an average speed of 53 mph.
Explanation:
To calculate Miguel's average speed when driving to his grandparents' house, we use the formula for average speed, which is the distance traveled divided by the time taken to travel that distance. In this case, if Miguel's grandparents live 159 miles away and it takes 3 hours to get there, we divide the distance by the time to find the average speed:
Average speed = Distance ÷ Time
Average speed = 159 miles ÷ 3 hours
Average speed = 53 miles per hour (mph)
Therefore, Miguel's average speed to his grandparents' house is 53 mph.
Write 10x - 5y = 30 in slope intercept form
The required equation in slope-intercept form is y = 2x - 6.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m is the slope or rate of change.x and y are the points.b is the y-intercept or initial value.Based on the information provided about this line, a linear equation in standard form that models it is given by;
y = mx + b
10x - 5y = 30
By making y the subject of formula, we have the following:
10x - 5y = 30
2x - y = 6
y = 2x - 6
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Which ordered pairs are solutions to the inequality. 3x+4y greater than or equal to 12
(8,-3)
(-5,2)
(0,5)
(3,2)
Choose any that apply
The ordered pairs that are solutions to the inequality 3x + 4y ≥ 12 are (8, -3), (0, 5), and (3, 2). The pair (-5, 2) does not satisfy the inequality and is not a solution.
To determine which ordered pairs are solutions to the inequality 3x + 4y ≥ 12, we can substitute the x and y values from each pair into the inequality and see if it holds true.
For (8, -3), we check if 3(8) + 4(-3) ≥12, which gives 24 - 12 ≥ 12, so 12 ≥ 12. This pair is a solution because the inequality is satisfied.For (-5, 2), we check if 3(-5) + 4(2) ≥ 12, which gives -15 + 8 ≥ 12, so -7 ≥ 12. This pair is not a solution because the inequality is not satisfied.For (0, 5), we check if 3(0) + 4(5) ≥ 12, which gives 0 + 20 ≥ 12, so 20 ≥ 12. This pair is a solution because the inequality is satisfied.For (3, 2), we check if 3(3) + 4(2) ≥ 12, which gives 9 + 8 ≥ 12, so 17 ≥ 12. This pair is a solution because the inequality is satisfied.Therefore, the solution pairs are (8, -3), (0, 5), and (3, 2).
Ron is tiling a countertop. He needs to place 54 square tiles on each of 8 rows to cover the counter. He wants to randomly place 8 groups of 4 blue tiles each and have the rest of the tiles be white. how many white tiles wwill Ron need ?
Answer: There are 400 white tiles which Ron will need.
Step-by-step explanation:
Since we have given that
Number of rows to cover the counter = 8
Number of tiles to cover each 8 rows = 54 square tiles
So, total number of tiles to cover 8 rows is given by
[tex]8\times 54=432[/tex]
Number of groups on which 4 blue tiles are placed = 8
Total number of blue tiles on 8 groups is given by
[tex]8\times 4=32[/tex]
Remaining are the white tiles so, it is given by
[tex]432-32=400[/tex]
So, there are 400 white tiles which Ron will need.
Could someone please help me on this graph? I'll give the Brainliest to whoever is CORRECT.
Danielle needs to sell candy bars for a club fundraiser. She starts with 72 candy bars and begins selling at a constant rate of 8 bars each day.
Use the Segment tool to plot a graph representing the number of candy bars Danielle has left to sell from the time she begins selling until the candy bars are gone.
Please answer the following question
Multiply and answer on scientific notation : (3.8 x 10^8) (6.9 x 10^5)
it is given that 2(3+x)=6+2x. this is an example of the ____ property.
Answer:
Distributive Property
Step-by-step explanation:
USA Testprep
Expression 2(3+x)=6+2x is an example of the distributive property,
the given expression is:
2(3+x)=6+2x.
what is distributive property?The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.
for example
a(b+c) = a*b+ a*c=ab+ac
a(b-c)= a*b-a*c=ab - ac
in the same way,
given expression
2(3+x)= 2*3+2*x = 6+2x
therefore, expression 2(3+x)=6+2x is an example of the distributive property.
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What is 11.875 as a fraction
11.875 can be expressed as the fraction 11 7/8.
To express 11.875 as a fraction, we can start by recognizing that the decimal can be written as a mixed number with a whole number and a fraction component. The whole number is 11, and the fraction component is 0.875. To convert the fraction component to a fraction, we observe that 0.875 is equivalent to 875/1000 because there are 875 parts out of 1000 in the decimal representation. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 125.
Dividing 875 by 125 results in 7, and dividing 1000 by 125 results in 8. Therefore, 0.875 can be simplified to 7/8.
Combining the whole number and the fraction component, we can write 11.875 as the mixed number 11 7/8.
Thus, 11.875 can be expressed as the fraction 11 7/8.
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Compare the values of each digits in the decimal 962.69 , compare the 6 in the tens place than the 6 in the tenths place.
what is the system equation of y=1/4x : x+4y=8?
The system equation of y = 1/4x and x + 4y = 8 can be found by substituting the value of y from the first equation into the second equation and solving for x. The solution is x = 4 and y = 1.
Explanation:The given system of equations is y = 1/4x and x + 4y = 8.
To find the system equation, we can substitute the value of y from the first equation into the second equation.
Substituting y = 1/4x into x + 4y = 8 gives us x + 4(1/4x) = 8. Simplifying this equation, we get x + x = 8, which is equivalent to 2x = 8. Solving for x, we find x = 4. Substituting this value back into the first equation, we can solve for y and find y = 1.
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The average distance in kilometers (km) from the sun to the planet Mercury is about 58,000,000 km. Write this distance in scientific notation. .
A packing machine can pack 4,000 boxes in 5 hours. At what rate does the machine work?
Starting from the same place, Sara walks due west and Ammad walks due east. On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. A number line with a point for Ammad at coordinate 480 and a point for Sara at coordinate -240. How many feet apart are Sara and Ammad on the number line?
The answer is 720, hope this helps :)
identify and explain the error why GCF for 28, 42, 56 is 736
Connie and Chris are saving money to go to a concert. Connie has $9 and saves $6 per week.
Connie wrote an equation to determine how much she saves in a given week.
y=6x+9
Chris has $27 and saves $3 per week.
Chris made a graph to show how much he saves in a given week.
How many weeks will it take Connie and Chris to save the same amount of money?
1 kg of sand has a volume of 400 cm*. What is its densityin g/cm*.
( * is cubed)
PLEASE HELP WITH THIS I DONT UNDERSTAND THIS ONE
The coordinates of quadrilateral VWXY are given below. Find the coordinates of its image after a dilation with the given scale factor.
make sure to use a well explained answer.
V(6, 2), W(-2, 4), X(-3, -2), Y(3, -5), scale factor of 2
If a rock weighs 12.64 on Jupiter how much does it weigh on earth? What is an equation that represents the situation is y=
Find the slope of the line.
Answer: [tex]m = \frac{1}{6}[/tex]
Step-by-step explanation:
(-5,-4) = (x1, y1)
(1,-3) = (x2, y2)
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{-3-(-4)}{1-(-5)}[/tex]
= [tex]\frac{-3+4}{1+5}[/tex]
= [tex]\frac{1}{1+5}[/tex]
= [tex]\frac{1}{6}[/tex]
The value of a car changed from $14,000 to $11,200. Find the percent of change. Show work please!
each year, the department of water works measures the chloride concentration level in the water. the first year, they found the chloride concentration changed by -13/5 mg /L . it is estimated that the chloride concentration will change -21/15 mg/L the next year. what is the total change that will likely occur in 2 years?
Answer:
um i think its 8/30
Step-by-step explanation:
do the following lengths form a right triangle?
a= 6.4, b= 12, c= 12.2
Answer:
It is not a right triangle,184.96 ≠ 148.84
Step-by-step explanation:
Definition of Pythagoras theorem:The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.
The formula is as follows:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Given, a= 6.4, b= 12, c= 12.2
Using the Pythagorean Theorem, [tex]a^{2} + b^{2} = c^{2}[/tex] ,you may determine if they form a right triangle:
[tex](6.4)^2 + (12)^2 = (12.2)^2[/tex]
40.96 + 144 = 148.84
184.96 ≠ 148.84
Therefore, this is not a right triangle.
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What is the slope of the line on the graph?
Write a real world situation that could be modeled by the equation 100-6x=160-10x.
Answer:
Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.
Step-by-step explanation:
Consider the provided information.
We need to write a real world situation that could be modeled by the equation 100-6x=160-10x.
You can use any situation to represents this equation.
The left side of the equation consists of a constant and a variable also the right side of the equation consists of a constant and a variable.
Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.
Julie spends $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more than Micah. How much money does each person spend?
Julie: $5.62
Micah:
Jeremy:
Explain how you can use a quick picture to find 3 × 2.7
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1,000 ribbons, what is the length of ribbon Sarah needs?
Adam is carrying books to the classroom for his teacher. Each books weighs 3.85 pounds. If he carries 4 books, how many pounds is Adam carrying?
Each day at lunchtime, at least 53 people buy food from a food truck.
Using the variable p, an inequality that represents that situation is...
Answer:
p≥ 53
Step-by-step explanation:
Given that, at least 53 people buy food from the food truck. It means minimum 53 people buy the food, and number greater than 53 is quite possible; however, the possibility of people buying food less than 53 is not possible.
Since the number of people is alway 53 or greater than 53 therefore we may represent this condition using the greater and equal sign.
Lets use the variable p for people who buy the food.
Now the inequality can be written as
p≥ 53
So our desired inequality is p≥ 53 .
5/4, 9/10, 4/5, 13/20 in order from lightest to heaviest
1. The probability of randomly selecting a female from a group of 25 elementary school teachers is 21/25. Which of the following describes the likelihood of selecting a female elementary school teacher?
a .unlikely
b. neither unlikely nor likely
c. likely