Neil has approximately 21/30 gallon of paint in total.
Explanation:To find out how much paint Neil has in total, we need to add up the amounts of paint in each can.
The first can contains 1/3 gallon of paint, the second can contains 1/5 gallon of paint, and the third can contains 1/2 gallon of paint.
To add fractions, we need to find a common denominator. In this case, the common denominator is 30. We can convert the fractions to have a denominator of 30 and then add the numerators:
1/3 gallon + 6/30 gallon + 15/30 gallon = 21/30 gallon.
Therefore, Neil has approximately 21/30 gallon of paint in total.
Final answer:
Neil has a total of 31/30 gallons of white paint when his three cans containing 1/3, 1/5, and 1/2 gallon are added together, which is slightly more than 1 gallon.
Explanation:
Neil has three partially full cans of white paint with quantities of 1/3 gallon, 1/5 gallon, and 1/2 gallon. To find the total amount of white paint Neil has, we simply need to add these fractions together. Adding fractions involves finding a common denominator and then adding the numerators.
In this case, the common denominator for 3, 5, and 2 would be 30, so the fractions would be equivalent to 10/30, 6/30, and 15/30, respectively. Now, we add the numerators:
10/30 + 6/30 + 15/30 = 31/30 gallons
So Neil has 31/30 gallons of white paint in total, which is a little more than 1 gallon when converted from an improper fraction to a mixed number (1 gallon and 1/30 of a gallon).
How do I solve 28.8=18x
help me please geometry
A student has to earn a total of at least 280 points on four tests in his math class to pass the class, and his total on the first three tests is 197 points. set up an inequality necessary to find the minimum number of points that he must earn on the fourth test to pass the class. then solve the inequality.
Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all t-shirts are $10 each.He has $100 to spend and would like to purchase at least 2 pairs of shorts.
a) Write a system of linear inequalities to represent
this situation, then graph.
b)Using your graph, give two possible combinations
of shorts and Brandon can buy.
Two possible solutions are (a) [tex]3[/tex] pairs of shorts and [tex]5[/tex] t-shirts
(b) [tex]4[/tex] pairs of shorts and [tex]3[/tex] t-shirts.
[tex]x=the\; number\; of shorts\\y=the\; number\; of\ t-shirt\; bought[/tex]
So equation formed is
[tex]16x+10y\leq 100[/tex]
[tex]10y\leq 100-16x\\y\leq 10-1.6x[/tex]---Eq [tex]1[/tex]
Bradon wants at least [tex]2[/tex] pair of shorts.Therefore
[tex]x\geq 2[/tex]--Eq [tex]2[/tex]
Now put,
[tex]x=3 \\y=10-1.6(3)\\y=10-4.8\\y=5\\[/tex]
Hence [tex]3[/tex] shorts and [tex]5[/tex] t-shirts
Now put,
[tex]x=4 \\y=10-1.6(4)\\y=10-6.4\\y=3\\[/tex]
Now graph the equation,
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Solve for x
7x-0.15=2x+0.6
Explain
help please! Note: Use ELIMINATION!!!
round 38562.7 to 1 significant figure
How would I solve 1/5=125^x
Harry's school is selling t-shirts to raise money for the archery team. The school will receive 35% of the total sales which can be modeled by the equation y = 0.35x, where x represents the total number of sales. What is the meaning of the x-intercept in the equation?
Answer:
X-intercept states that the graph crosses the x-axis.
Substitute y = 0 and solve for x.
As per the statement:
Harry's school is selling t-shirts to raise money for the archery team.
The school will receive 35% of the total sales which can be modeled by the equation:
y = 0.35x
where, x represents the total number of sales and y represents the total cost of sale.
By definition of x-intercept:
0 = 0.35x
⇒x = 0
Therefore, the x-intercept in the equation represents:
The number of sales when no money has been raised.
Erin is 8 years younger than twice Paula’s age. The sum of their ages is 40. How old is Erin
To solve this problem, we set up two linear equations based on the given information and solved them simultaneously. We found that Erin's age is 24 years.
Explanation:This problem is a classic example of a linear equation. We can set up two equations based on the information given:
Erin is 8 years younger than twice Paula’s age. This can be written as E = 2P - 8.The sum of their ages is 40. This can be written as E + P = 40.Upon substituting the value of E (Erin's age) from the first equation into the second, we get: 2P - 8 + P = 40. Simplifying this gives P = 16. Substituting P = 16 into the first equation, we find E = 24. Therefore, Erin is 24 years old.
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Alexandra is two years older than brad. cecilia is three years younger than alexandra. all three ages added together gives a total of 37 years. how old is each student?
Let us say that:
x = age of brad
x + 2 = age of Alexandra
(x + 2) – 3 = age of Cecilia = x – 1
We are also given that:
x + x + 2 + x – 1 = 37
solving for x:
3x + 1 = 37
3x = 36
x = 12 = age of brad
x + 2 = 14 = age of Alexandra
x – 1 = 11 = age of cecilia
You randomly select one card from a 52-card deck. find the probability of selecting a blackblack twotwo or a blackblack eighteight
Give the slope intercept form of the equation of the line that is perpendicular to 5x-3y=8
One half of a number is 8 less than the number itself
A jet plane, flying 120 mph faster than a propeller plane, travels 3520 miles in 3 hours less time than the propeller plane takes to fly the same distance. how fast does each plane fly?
Final answer:
The propeller plane flies at a speed of 880 mph, and the jet plane flies at a speed of 1000 mph.
Explanation:
Let the speed of the propeller plane be represented by x mph. Since the jet plane is flying 120 mph faster, its speed can be represented as x + 120 mph.
We know that the distance traveled by both planes is the same, so we can set up the equation:
x * t = (x + 120) * (t - 3)
where t is the time taken by the propeller plane.
Simplifying the equation, we get:
x * t = xt + 120t - 3x - 360
Rearranging the terms, we have:
120t - 3x = 360
Since we have two variables, we need another equation. We can use the formula for distance, which is given by:
Distance = Speed * Time
For the propeller plane, we have:
D = x * t
For the jet plane, we have:
D = (x + 120) * (t - 3)
Since the distance is the same, we can equate these two equations:
x * t = (x + 120) * (t - 3)
x * t = xt + 120t - 3x - 360
Rearranging the terms, we get:
120t - 3x = 360
Solving the system of equations, we find that x = 880 mph and x + 120 = 1000 mph.
How much is 8% of 1249? round the answer to the nearest hundredth
What is the measure of angle S?
132 + 56 + 79 = 267
360 - 267 = 93
answer is 93 degrees
A regular hexagon rotates counterclockwise around its center. It turns through angles greater than 0° and less or equal to 360°. At how many different angles of a hexagon map onto itself?
there are 6 sides to a hexagon
360/6 = 60 degrees
so it will map onto itself at 60, 120, 180, 240, 300 & 360
there are 6 different angles
2,226 divided by 53 how do you solve this??
I need help with equation number 6
Toni can carry up to 23 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (
b. weigh 4 lb each. How many books can she carry in her backpack? The inequality is . Toni can carry up to books in her backpack.
(01.02) kim earns $30 for babysitting on friday nights. she makes an average of $1.25 in tips per hour. write the function of kim's earnings, and solve for how much she would make after 3 hours. (1 point) y = 1.25x + 30; $33.75 y = 30x + 1.25; $43.75 y = 30x + 1.25; $91.25 y = 1.25x + 30; $31.25
Solve each equation. Then check your solution. 3-a/7=-2
Janet Fog's uncle, Pete Moore, promised her a gift of $30,000 upon her graduation from law school or $1500 every quarter for the next four years. if the money could be invested at 12% compounded quarterly, which offer should Janet choose?
A 150° angle is an obtuse angle. What do you Notice about the statement below? What do you Wonder about the statement?
A certain roller coaster can accommodate 1600 riders per hour a digital sign states that there are 345 people in line if you get in line about how many minutes will it take you to get to the front of the line
If 1 cm = 0.394 inches, how many inches are in 1 kilometer?
Answer: There are 39400 inches in 1 kilometers.
Step-by-step explanation:
Since we have given that
1 cm = 0.394 inches
As we know that
1 m = 100 cm
1 km = 1000 m
1000 m = 100×1000=100000 cm
1 km = 100000 cm
So, it becomes,
[tex]1\ km=0.394\times 100000\\\\1\ km=39400\ inches[/tex]
Hence, there are 39400 inches in 1 kilometers.
If f is a function defined by the equation yequals=f(x) then x is called the
Is the relation a function? (3, 6) (10, 13) (11, 1) (13, 6)
Yes, Given relation is a function.
Here,
Points are given as,
(3, 6) (10, 13) (11, 1) (13, 6)
What is a function?
A function is defined as a relation between a set of inputs having one output each.
Now,
The given relation is a function because we don't have any repeated x values. Each input (x) leads to exactly one output (y). if we plotted all the points, then we would not be able to pass a single vertical line through more than one point. Hence, this graph complies vertical line test.
So, Given relation is a function.
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The difference of the squares of two positive consecutive even integers is 20 . find the integers. use the fact that, if x represents an even integer, then xplus 2 represents the next consecutive even integer.
The positive even numbers are 4 and 6.
EquationState of quality between two expressions consisting of variable and/or number.
Given
The difference of the squares of two positive consecutive even integers is 20.
To findThe number will be
How do find the numbers?The difference of the squares of two positive consecutive even integers is 20.
Let x be the even number and positive consecutive even is (x+2)
Then according to the condition
[tex]\begin{aligned} (x+2)^{2} -x^{2} &=20\\x^{2} +4x+4-x^{2} &= 20\\4x &= 20-4\\4x &= 16\\x &= \dfrac{16}{4}\\x &= 4\end{aligned}[/tex]
Then the positive even numbers are 4 and 6.
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