The number 48 is 30 percent of the number 160.
We have to find 30% of what number is 48.
let the unknown number be x.
so, we can set up the equation as
30% of x= 48
30/100 x = 48
30x = 4800
Divide both side by 30
30x/30= 4800/ 30
Now, simplify
x= 120
Thus, 48 is 30% of 160.
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what is 2/300 as a fraction and decimal
Fractional equivalent of 2/300 is 1/150 .
Decimal equivalent of 2/300 is 0.0066.
Given,
2/300
Here,
To get the fractional equivalent of 2/300
Divide numerator and denominator by the common factor,
2 / 2= 1
300 / 2= 150
Simplified fractional form,
= 1/150.
Decimal equivalent of 2/300,
Divide 2 by 300
So,
2/300 = 0.0066
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John swam 0.86 km each day for 3 weeks. How many meters did he swim in those 3 weeks?
45% of $432 =
Show work
if one banch of cookies call for 5 eggs, how many banches can you make with 24 eggs.will there be any left over.
There are two buildings bisede each ather that are 47feet and 31 feet high. The buildings are 12 feet apart. What is the distance between the rooftop of the bluilfings
The distance between the rooftops of two buildings, one 47 feet high and the other 31 feet high with a 12 feet gap between them, is 20 feet, as calculated using the Pythagorean theorem.
To determine the distance between the rooftops of two buildings with different heights, we should envision a right-angled triangle where the buildings form the two vertical legs, and the distance between them forms the base.
The height difference of the buildings gives us one leg of the triangle (47 feet - 31 feet = 16 feet), and the distance between them gives us the other leg (12 feet).
Using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides, we can calculate the length of the hypotenuse, which is the distance between the rooftops.
The formula is c = ( √{a² + b²} ), where a and b represent the legs of the triangle, and c represents the hypotenuse.
For our problem:
Leg a (height difference): 16 feet
Leg b (distance apart): 12 feet
Plug the values into the formula:
c = √{16² + 12²}
c = √{256 + 144}
c = √{400}
c = 20 feet
So, the distance between the rooftops of the buildings is 20 feet.
307 round to nearest tens
I will let you have 15 points answer this how can you tell place value of decimals I would like pictures but if you can't understand
Brand X costs $2.40 for 16 ounces. Brand Y costs $1.92 for 12 ounces. Find the unit price of each brand. Which brand is the better buy? Please Help! Thanks
To find the unit price, divide the cost by the number of ounces for each brand. Brand X has a unit price of $0.15 per ounce, while Brand Y has a unit price of $0.16 per ounce. Brand X is the better buy because it has a lower unit price.
Explanation:To find the unit price of each brand, we need to divide the cost by the number of ounces for each brand.
Brand X: Unit Price = $2.40 / 16 ounces = $0.15 per ounce
Brand Y: Unit Price = $1.92 / 12 ounces = $0.16 per ounce
Therefore, Brand X is the better buy because it has a lower unit price.
I NEED THIS ANSWER ASAP. which is true for all the vlaues in the table below
difference between a function and a relation
A relation is any set of ordered pairs.
For example, {(5,9), (1,2), (8,11), (10,20), (4,7)}
A function is a special type of relation where each x-coordinate has exactly 1 y-coordinate.
Without dividing how can you decide wether the quotient of 7.16 * 4 will be less than or greater than 2
What is 6 divided by 258 using partial quetient
The table represents a function.
x : 0, 2, 4, 6,
y : 6, 8, 10, 12,
Complete the statement by choosing A, B, or C
The rate of change in the function y = x + 4 is ? the rate of change of the function represented in the table.
A) Greater than
B) Less than
C) Equal to
Replace the question mark in the sentence above with A, B, or C
The quotient of a number x and −1.5 is 21
Answer:
x = -31.5
Explanation:
We are given that the quotient of x and -1.5 is 21
This means that:
[tex]\frac{x}{-1.5} =21[/tex]
To get the value of x, we will multiply both sides of the equation by -1.5
This means that:
[tex]\frac{x}{-1.5} * -1.5=21*-1.5[/tex]
x = -31.5
Note that the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)
Hope this helps :)
The value of x is -31.5.
Quotient means the result of dividing a number by another number. For example, the quotient of 4 and 2 is 2.
The information provided in this question can be represented with this equation:
[tex]\frac{x}{-1.5}[/tex] = 21
In order to determine the value of x, multiply both sides of the equation by -1.5.
x = 21 x - 1.5
x = -31.5
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A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a mule deer runs in miles per hour?
twenty-five seconds over one-fourth mile = 36 miles per hour
one-fourth mile over twenty-five seconds = 36 miles per hour
one-fourth mile over twenty-five seconds = 100 miles per hour
twenty-five seconds over one-fourth mile = 100 miles per hour
The correct expression to determine how fast a mule deer runs in miles per hour is one-fourth mile over twenty-five seconds = 36 miles per hour.
To find the speed of the mule deer in miles per hour, we need to convert the time from seconds to hours and then use the formula for speed, which is distance divided by time.
First, let's convert 25 seconds into hours. There are 3600 seconds in an hour, so:
25 seconds * (1 hour / 3600 seconds) = 25/3600 hours
Now, we know that the mule deer runs one-fourth of a mile in 25 seconds. To find the speed in miles per hour, we divide the distance by the time in hours:
Speed (mph) = Distance (miles) / Time (hours)
Using the conversion above, we have:
Speed (mph) = (1/4 mile) / (25/3600 hours)
To simplify this, we multiply the numerator and denominator by 4 to get rid of the fraction in the numerator:
Speed (mph) = (1 mile) / (25/900 hours)
Now, we multiply the denominator by 900 to get the time in hours:
Speed (mph) = (1 mile) / (25/900 * 900 hours)
Speed (mph) = (1 mile) / (25 hours)
Next, we need to find out how many 25-hour intervals there are in one hour. To do this, we divide 1 by 25:
Speed (mph) = 1 mile * (1/25 hours)
Speed (mph) = 1/25 miles per hour
Since there are 25 intervals of 1/25 hours in one hour, the mule deer can cover 25 intervals of 1/4 mile in one hour:
Speed (mph) = 25 * (1/4 mile) per hour
Speed (mph) = 25/4 miles per hour
Speed (mph) = 6.25 miles per hour
However, this result does not match any of the options given in the question. It seems there was a mistake in the calculation. Let's correct it:
Speed (mph) = (1/4 mile) / (25/3600 hours)
Speed (mph) = (1/4) / (25/3600)
Speed (mph) = (1 * 3600) / (4 * 25)
Speed (mph) = 3600 / 100
Speed (mph) = 36 mph
This is the correct calculation. Therefore, the expression that represents the speed of the mule deer in miles per hour is one-fourth mile over twenty-five seconds equals 36 miles per hour.
what is the lowest common denominator
Answer:
The lowest common denominator is 12
Step-by-step explanation:
The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members will there be in 9 months? (round to the nearest whole number)
Any and all help is appreciated!
Answer: 639
Step-by-step explanation:
Given: The number of people that belong to a certain social website=412
Since they are increasing at the rate of 5% every month .
The number of members of after x months is given by exponential growth function, i.e. [tex]y=A(1+r)^x[/tex], where A is the initial amount , r is the growth rate
From question, A=412
r=5%=0.05
x=9 months
Therefore, [tex]y=412(1+0.05)^9=412(1.05)^9=412\times1.551=639.1356\approx639[/tex]
hence, there will be 639 members agter 9 months.
Jaclyn is selling cookies for her club. She sells 2 boxes for $5. What unit rate expresses the cost per box?
A. $1 per box
B. $1.50 per box
C. $2 per box
D. $2.50 per box
The solution is Option D.
The unit rate of the cost per box is given by the equation A = $ 2.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The selling price of 2 boxes of cookies = $ 5
So , the cost of 1 box of cookies A = selling price of 2 boxes of cookies / 2
Substituting the values in the equation , we get
Cost of 1 box of cookies A = 5/2
Cost of 1 box of cookies A = $ 2.50
Therefore , the value of A is $ 2.50
Hence , the unit rate of box of cookies is $ 2.50
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Sarah and her friends picked 3 3/4 pints of blueberries. After they ate some of the blueberries, only 2 1/3 pints remained.
How many pints of blueberries did Sarah and her friends eat?
Answer: 1 5/12
Step-by-step explanation:
2 1/3 = 7/4
3 3/4 = 15 / 4
The amount they eat = The amount they picked - The amount they remained
The amount they eat = 15 / 4 - 7/3
=45-28 / 12
=17/12
= 1 5/12
what equals 1050 in multiplication?
179.4 ÷ 2.3 plz help meh
City A: 3% City B: 4.1% City C: 2.9% City D: 3.2% Tom wants to buy a sweater for $30. In witch city will it be lest expensive?
2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.
108/2=54*60= 34min40sec then 108/5=21*60=13min
sorry if this is incorrect your question was a little confusing
The Equations are 2x = 108 and 3y = 108.
Drain A takes 54 minutes and Drain B takes 36 minutes to empties the pool.
What is Unit rate?When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another.
Given:
Drain A empties a pool at a rate of 2 gal/min.
Drain B empties a pool at a rate of 5 gal/min.
One pool has 108 gal of water in it.
So, let Drain A empties the pool in x minutes and Drain B in y minutes.
Then, Drain A:
2x = 108
x= 54 minutes
and, Drain B:
3y = 108
y= 36 minutes
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show two ways five people can share a 3 segment chewy fruit
What equation is graphed in this equation?
A. Y-3= 3/2(x+1)
B. Y+2= -3/2(x-2)
C. Y+1= -2/3(x-3)
D. Y-4= -2/3(x+2)
How can you use a graph or equation to determine the cost for a given number of hamburgers
use the photo math method
Step-by-step explanation:
the cost of oranges in a grocery store is direcly proportional to the number of oranges purchashed.jerri paid $2.52 for 6 oranges.if p represents the cost,in dollars, and n represents the number of oranges purchashed,which equation best represnts this relationship
Tim found a new jacket on sale. The original price was $96. The tag said that it was 25% off. What was the sale price?
Edgar used 10 x d to represent the number of pennies in d dollars. Is this reasonable?
write a word problem that involves dividing by a decimal .include a picture of solution using a model
A word problem is,
"A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
a word problem that involves dividing by a decimal .include a picture of solution using a model
given by,
"A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?"
(Explanation is attached)
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