7 cups
4 1/5= 21/5
3+3+3+3+3+3+3= 21
7
Jessica can fill 7 glasses with water, by dividing the total amount of water ([tex]4\frac{1}{5}[/tex] cups) by the amount that each glass holds ([tex]\frac{3}{5}[/tex] cup).
The question asks us to determine how many glasses Jessica can fill with water when each glass holds [tex]\frac{3}{5}[/tex] cup of water and she has 4 1/5 cups of water in total. To solve this, we need to divide the total amount of water by the amount each glass holds.
Firstly, we need to convert the mixed number 4 1/5 cups to an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator, like this: (4 times 5) + 1 = 21, so 4 1/5 cups is the same as [tex]\frac{21}{5}[/tex]cups.
Next, we divide the total amount of water (21/5 cups) by the amount each glass holds ([tex]\frac{3}{5}[/tex] cup), which can be written as a fraction division problem:
[tex]\frac{\frac{21}{5} }{\frac{3}{5} }[/tex] = [tex]\frac{21}{5}[/tex] x [tex]\frac{5}{3}[/tex] = [tex]\frac{21}{3}[/tex] = 7
So, Jessica can fill 7 glasses with water.
can a quadrilateral have 4 obtuse angles
A quadrilateral cannot have 4 obtuse angles
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
A quadrilateral
By definition, the sum of angles in a quadrilateral is 360
And an obtuse angle is greater than 90
So, we have
Sum = 4 * greater than 90
Evaluate
Sum = greater than 360
This means that a quadrilateral cannot have 4 obtuse angles
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Convert: 2°C to °F (to the nearest tenth).
Given ∠ABC is a right angle. Prove ∠1 and ∠2 are complementary.
Write a two column Proof.
List factor pairs of 56
Can someone please help me with this? I will appreciate it
Morgan plots the point (4,-7) on a coordinate plane. If she reflects the point aacross the y axis, what are the coordinates of the reflected point?
the soccer field at Mario's school has an area of 6,000 square meters. how can mario show the area as a whole number multiplied by a power of 10?
Answer: [tex]6\times10^3[/tex] square meters.
Step-by-step explanation:
Given : The soccer field at Mario's school has an area of 6,000 square meters.
Here, 6,000 can be written as [tex]6\times1,000[/tex]
And [tex]1000=10\times10\times10=10^3[/tex] [using exponents]
Then, 6,000 can be written in the form of a whole number multiplied by a power of 10 as [tex]6,000=6\times10^3[/tex]
Hence, Maria can show the area as [tex]6\times10^3[/tex] square meters. .
Macon is 50 miles from Atlanta. If the time of the trip increases, what happens to the speed?
Danielle works as a cashier in a bookstore she works 35 hours a week and earns $11 an hour each week Daniella spends $300 answer saves the rest . Danielle estimates that she earns about $20000 per year is this estimate accurate? explain
Danielle's estimate of earning about $20,000 per year is accurate, as the calculation based on her hourly wage and weekly hours worked gives an actual annual income of $20,020.
Danielle's estimate of earning about $20,000 per year is accurate based on her hourly wage and weekly hours worked. To assess the accuracy of her estimate, we need to calculate her actual annual income.
Danielle earns $11 per hour and works 35 hours a week. Therefore, her weekly earnings are:
35 hours/week × $11/hour = $385/week.
As there are typically 52 weeks in a year, her estimated annual income would be:
52 weeks/year × $385/week = $20,020/year.
This calculation shows that Danielle's estimate of making about $20,000 per year is indeed accurate.
what is the range of 34, 56, 13, 98, 75
Answer:
Range = 85
Step-by-step explanation:
The formula for range of a data set is
Range = Maximum value - Minimum value
The given data set is
34, 56, 13, 98, 75
In this data set we have,
Maximum value = 98
Minimum value = 13
The range of given data set is
Range = 98 - 13
Range = 85
Therefore, the range of the data is 85.
-3-4y=-23 -3x+y=2 using elimination
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What is 395 times blank equals 2,370
what is 235 written as a product of prime factors?
zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. five months after he purchased the computer, his balance was 1050. what is an equation that models the balance b after m months
The equation that models the balance b after m months is b = 1800 - 150m
Initial cost = 1800
Difference in balance = 1350 - 1050 = 300
Number of months used = 5 months - 3 months = 2 months
Therefore, the equation that models the balance b after m months will be:
b = 1800 - (300/2)m
b = 1800 - 150m
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4y−2(3/2y−5) simplify
How much change will you get back if you bought three $0.99 chocolate bars and paid with a $5 bill
Explain whether or not you think the relationship is linear or not.
The pond in Tom’s backyard holds 50 gallons of water and recedes at a rate of 5 gallons per day.
Please help asap! Number 2 , picture is included! (10 points)
65 in. =__ft.
A. 6 5/12 ft.
B. 12 ft.
C. 5 5/12 ft.
D. 780 ft
What is −412√+75√ in simplest radical form?
Step-by-step explanation: Given radical expression 4√12 + √75.
Let us simplify each of the radical separately first.
√12 = √(2×2×3) = 2√3
Therefore, 4√12 = 4 × 2√3 = 8√3.
√75 = √(3×5×5) = 5√3
Therefore 4√12 + √75 => 8√3 + 5√3.
Adding like radicals, we get
8√3 + 5√3 = 13√3.
Therefore, 4√12 + √75 = 13√3.PLZ HELP! IN DESPERATE NEED OF HELP! Thx! Remeber to SHOW ALL OF YOUR WORK! Thx so much! :)
The coordinates of the vertices of ΔXYZ are (4, –1), (2, –4),
and (7, –4).
The coordinates of image ΔXʹYʹZʹ are (−4, −1), (−2, −4), and (−7, −4).
This transformation can be expressed as (x, y) ⟶ (−x, y).
Is the orientation of ΔXYZ the same as the orientation of ΔXʹYʹZʹ?
Why or why not?
What is 212.8 divided by 3.8? Plz Help!!
x/3 >-1 graph and check solutions
[tex]\dfrac{x}{3} > -1\ \ \ \ |\cdot3\\\\x > -3\to x\in(-3;\ \infty)[/tex]
The cost of a ticket to an amusement park is $42 per person. For groups of up to 8 people , the cost per ticket decreases by $3 for each person in the group .Marcos’s ticket cost $30. Write an solve an equation to find the number of people in Marcos’s group.
what does a negative y-intercept mean for real world application?
Final answer:
A negative y-intercept in a real-world context indicates that the system or condition being measured starts below the baseline or has a deficit to begin with. It can represent an initial loss in economics, such as starting with debt or needing initial investment. The slope of the line is critical to understanding how changes in one variable affect another.
Explanation:
A negative y-intercept in a real-world application can have various implications depending on the context. In many scientific experiments, the y-intercept represents the baseline level of the system without any experimental conditions applied. If the y-intercept is negative, this might indicate that in the absence of a certain factor (represented by the x-variable), the system has a deficit or a reduction in the measured quantity. For instance, if we are plotting a graph of growth over time, a negative y-intercept could imply that there was an initial debt or loss before measurements began.
When it comes to economics and data models, a negative y-intercept on a graph could represent a starting deficit. For example, a company might have initial losses (negative y-intercept) that it seeks to overcome as production (x-variable) increases. Supply and demand models, cost projections, and similar economic graphs can also have negative y-intercepts indicating starting positions below zero on the graph—such as starting with a debt or having to invest before seeing any return.
The y-intercept and the slope (m-term) together specify a particular line on a graph that can offer a reasonable approximation of real-world data. Economists find the slope particularly useful as it shows the relationship between two variables, like how a change in price affects the quantity supplied.
Claudia is reading a book that has 360 pages. she read some book last week. She plans to read 46 pages today when she does she will be 4/5 of the qay through the book. How many pages did she read last week?
A cube has a volume of 216 cubic centimeters. What can be concluded about this cube?
volume = 216
side = cubic root(216)
the length of a side = 6 centimeters
a mathematical term that does not include an equal or inequality sign is called an