15. A pool can hold 850 gallons. It now has 598 gallons of
water and is being filled at the rate shown. How many
more minutes, m, can water continue to flow into the
pool before it overflows? Write and solve an inequality.
Then graph the solutions.
Answers
252 >= 15.75m
16>=m
The pool can be filled for 16 minutes before it overflows
Related Questions
create a situation relating to coins that can be modelled by the linear system and explain the meaning of each variable
x + y = 24
0.25x + 0.05y = 4.60
Answers
The situation involving coins that is modeled by the system of equations x + y = 24, 0.25x + 0.05y = 4.60 is given as follows:
You have a combination of 24 quarters and cents, and the total you have is of $4.60. How many coins of each type you have.
What is the system of equations?To obtain the meaning of each of the variables x and y, we look at the second equation, given as follows:
0.25x + 0.05y = 4.60.
This means that:
The variable x represents the total number of quarters, as each quarter coin is worth $0.25.The variable y represents the total number of nickels, as each nickel coin is worth $0.05.The result of this sum means that the total amount of money that you have is of $4.60.
The first equation is given as follows:
x + y = 24.
Which means that the total number of coins that you have is of 24.
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In 33,291 how is the value of the three in the 10,000s place related to the value of the three in the thousands place
Answers
The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.
What is Place Value?Every digit in a number has it's own place value. Place value is the position of a digit in a number.
For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.
Given the number 33,291.
Place value of 1 = 1
Place value of 9 = 90
Place value of 2 = 200
Place value of 3 in thousands place = 3000
Place value of 3 in ten thousands place = 30,000 = 3000 × 10
That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.
Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.
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GIVING BRAINLIEST! HELP
Answers
Answer:
The answer is a because the sign should be facing right but not be greater than or equal to.
GIVING BRAINLIEST! HELP
Answers
Answer:
Below
Step-by-step explanation:
125 kg * 2.204 pound/kg = 275.5 pounds
Answer:
D. 275.5 pounds
Step-by-step explanation:
1 kg = 2.204 lbs
=> 125 kg = (125 kg)(2.204 lbs/1 kg) = 275.5 lbs
6 m
5 m
3 m
Find the area of this figure. Round your
answer to the nearest hundredth.
Use 3.14 to approximate T.
A = [?] m2
Answers
The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.
given
Three shapes—a rectangle, a triangle, and a semicircle—make up the figure.
Triangle + rectangle + semicircle together make up the figure's surface area.
Triangle's area is equal to 1/2 * 3 * 5.
Triangle's surface area is 15/2.
Triangle's surface area is 7.5 m3.
Rectangle area equals length times width
Rectangle's area is equal to 6 x 5.
30 m2 is the rectangle's area.
Semicircle area equals πr²/2
Semicircle's area is equal to π(3)²/2
Semicircle's area is equal to 3.14(9)/2.
Semicircle's area is equal to 3.14 x 4.5.
Semicircle's surface area is 14.13 m2.
Area: 30 + 14.13 + 7.5
The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.
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In a market survey, 100 traders sell fruits. 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 sell all three fruits each of the 100 traders sell at least one of the three fruits. (A) how many traders sell only one fruit. (B) how many traders sell only two fruits.
Answers
a) The number of traders who sell only one fruit is given as follows: 88.
b) The number of traders who sell only two fruits is given as follows: 9.
How to obtain the amounts?The amounts are obtained using Venn sets in the context of this problem.
The sets are given as follows:
Set A: sells apples.Set B: sells oranges.Set C: sells mangoes.10 sell all three fruits, hence:
A ∩ B ∩ C = 10.
15 vendors sell apples and mangoes, hence:
(A ∩ C) + (A ∩ B ∩ C) = 15
(A ∩ C) = 5.
14 vendors sell apples and oranges, hence:
(A ∩ B) + (A ∩ B ∩ C) = 14
(A ∩ B) = 4.
Hence the number who sell two of them is of:
(A ∩ B) + (A ∩ C) = 4 + 5 = 9.
50 vendors sell mangoes, hence:
C + (A ∩ C) + (A ∩ B ∩ C) = 50
C = 35.
46 vendors sell oranges, hence:
B + (A ∩ B) + (A ∩ B ∩ C) = 46
B = 32.
40 vendors sell apples, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 40.
A + 9 + 10 = 40
A = 21.
Hence the number of vendors who sell only one fruit is given as follows:
A + B + C = 21 + 32 + 35 = 88.
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Jason has some money. His grandmother gives him another $18.00. Write an expression to show how much money Jason has now. Use x for your variable.
Answers
Answer:
x + 18
Step-by-step explanation:
The variable is going to be the amount of money Jason has before his grandmother gives him money.
That variable is x.
Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.
The expressions would be x + 18.
Jason made a model stop sign for his model train
set. An actual stop sign measures 12 inches on
each side. Jason's model stop sign measures
1 inch on each side.
Answers
actual measures : model measures = 12 : 1 .
What is Ratio?In mathematics, a ratio shows how many times one number contains another. The comparison or simplified form of two quantities of the same kind is referred to as a ratio. This relation gives us how many times one quantity is equal to the other quantity. In simple words, the ratio is the number that can be used to express one quantity as a fraction of the other ones.
The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’.
A ratio can be written as a fraction, say 2/5. We happen to see various comparisons or say ratios in our daily life.
Given,
Actual sign measures 12 inches on each side
Jason's model sign measures 1 inch on each side.
Ration between actual to model sign measurement=
Measurement of actual sign / Measurement of model sign
= 12/1
Ratio = 12:1
Hence, the ratio between actual to model sign measurement is 12:1.
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When working modulo m, the notation a^-1 is used to denote the residue b for whichab = 1 (mod m), if any exists. For how many integers a satisfying 0 < a < 100 is it true thata(a − 1)−¹ = 4a-¹ (mod 20)?Please hurry up guys!!
Answers
There are 10 integers that satisfy 0 < a < 100.
What are integers?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
Here, we have
Given: When working modulo m, the notation a⁻¹ is used to denote the residue b for which ab = 1 (mod m), if any exists.
We have to find integers that satisfy 0 < a < 100.
a(a − 1)⁻¹ ≡ 4a⁻¹ (mod 20)
a ≡ 4a⁻¹(a − 1)(mod 20)
a² ≡ 4(a-1)(mod 20)
a² - 4a + 4 ≡ 0(mod 20)
(a - 2)² ≡ 0(mod 20)
a = 2 + 10n | for n = (0, 1, 2, 3.....9)
Hence, there are 10 integers that satisfy 0 < a < 100.
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Are infinite languages undecidable?
Answers
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
Define infinitive.The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.
Here,
Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.
There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).
Thus, undecidability requires an is infinite language but does not prove it.
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
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becky is doing research in which she needs 28 g of a substance that is 30% protein how many grams of each two ingredients one that is 50% protein in the other 25% protein should she mix together
Answers
Answer:
25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
Step-by-step explanation:
To make 28 grams of a substance that is 30% protein, Becky will need to mix together different ingredients to get the desired amount of protein.
Let's call the amount of the first ingredient (50% protein) "x" and the amount of the second ingredient (25% protein) "y".
We know that:
The total amount of the mixture is 28 grams
The mixture is 30% protein
The first ingredient is 50% protein
The second ingredient is 25% protein
We can set up the following equations to represent the problem:
x + y = 28 (the total amount of the mixture is 28 grams)
(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)
Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:
y = 28 - x
We can substitute this into the second equation:
(0.50)x + (0.25)(28-x) = 0.30(28)
Which gives us:
0.50x + 7 - 0.25x = 8.4
And further simplifying
0.25x = 0.6
x = 2.4
Now we know that the first ingredient, which is 50% protein, makes up 2.4 grams of the mixture. We can use this information to find the amount of the second ingredient:
y = 28 - x = 28 - 2.4 = 25.6 grams
So, Becky needs to use 2.4 grams of the first ingredient (50% protein) and 25.6 grams of the second ingredient (25% protein) to make 28 grams of the mixture that is 30% protein.
The numbers 176 and 342, written as the products
of their prime factors, are 176 = 24 x 11 and
342 = 2 x 32 x 19. Hence, find the smallest whole
number that is divisible by both 176 and 342.
Answers
The smallest whole number that can be divisible by both 176 and 342 is 30096.
To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.
176 = 2×2×2×2×11= 2⁴× 11
342 = 2×3×3×19 = 2 × 3² × 19
According to the prime factorization method, we have to multiply the highest powers.
So LCM = 2⁴× 3²× 11 ×19
= 30096
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Starting with a randomly selected box of cereal from the manufacturing line every 50th box of cereal is removed and weighed the mode weight of a days sample us calculated
Answers
Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.
what is mode ?The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency. The mode can be calculated quite easily. After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.
given
Example: 50th box of cereal
All cereal boxes are lined up in the population
Example Parameter: The cereal box's average weight
Population metric: The cereal on the line's average weight
Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.
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Given g(x) = -x + 5, find g(-6).
Answers
Answer:
g(- 6) = 11
Step-by-step explanation:
substitute x = - 6 into g(x) , that is
g(- 6) = - (- 6) + 5 = 6 + 5 = 11
Answer:
11
Step-by-step explanation:
g(x) = -x + 5
Let x = -6
g(-6) = -(-6) + 5
=6+5
=11
I need help with this
Answers
Answer:g
Step-by-step explanation:
g
giving 100 pts/ brainliest!! please help this is due in 20 minutes
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
What is the system that models this situation?
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answers
Answer:
p + m = 5, p + 0.2m = 0.6(5)2.5 lb peanuts; 2.5 lb almond mixStep-by-step explanation:
You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.
System of equationsThe system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.
p + m = 5 . . . . . . total mixture weight is 5 lb
p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix
SolutionWe can subtract the second equation from the first to eliminate the variable p:
(p +m) -(p +.2m) = (5) -(.6)(5)
0.8m = 0.4(5) . . . simplify
m = 2.5 . . . . . . . . divide by 0.8
p = 5 -m = 2.5
The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
A park recreation manager wants to reshape a square sandbox. The new sandbox will have one side 4 feet longer and the adjacent side 5 feet longer than
sandbox will be 38 square feet greater than the area of the original sandbox.
5 ft
What are the dimensions in ft of the original sandbox
Answers
The dimensions of the original sandbox was 2 ft X 2 ft..
Let, The original has a length of Xft and a width of Xft
The area of original sandbox is X^2 ft^2
As per given statement,
The new sandbox would have a length of (X+4)ft and a width of (X+5)ft
So, the area of new sand box would be: (X+4)(X+5) ft^2
Given, the area of new sandbox will be 38 square feet greater than the area of the original sandbox.
so,
X^2+38 = (X+4)(X+5)
or, X^2+38 = X^2 + 9X + 20
Eliminating X^2 from both side
0r, 9X+ 20 = 38
0r, 9X = 18
0r, X = 18/9 = 2
So, we assumes that the original has a length of Xft and a width of Xft
then the dimensions of the original sandbox was 2 ft by 2 ft.
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A bag of
.5 red marbles
.6 blue marbles
.3 green marbles
.4 black marbles
.2 yellow marbles
A marble will be drawn from the bag and replaced 100 times how many green and black marbles will be drawn?
Answers
The number of green and black marbles will be 15 and 20 black marbles respectively.
How to illustrate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
We have the following information:
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
2 yellow marbles
Total marble = 20 marbles
The number of green marbles:
= 3/20 × 100
= 15
The black marbles will be:
= 4/20 × 100
= 20
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PLEASE ANSWER ASAP WILL GIVE BRAINLIEST
Answers
A North Dakota license plate has six characters: 3 digits followed by 3 letters (e.g. 123AAA). Any number from 0 to 9 can be used as a digit. Any of the 26 letters from A to Z can be used as a letter.
How many different North Dakota license plates can be issued?
Enter your answer as an integer without commas, like this: 42536475
Answers
The number of different North Dakota license plates that can be issued is 17,576,000 plates.
How to find the number of plates issued ?For the first digit, there are 10 possibilities (0 to 9). For the second and third digits, there are also 10 possibilities each. For the first letter, there are 26 possibilities. For the second and third letters, there are also 26 possibilities each.
The total number of different license plates that can be issued is therefore:
= 10 x 10 x 10 x 26 x 26 x 26
= 1, 000 x 17, 576
= 17, 576, 000 different plates
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√2x-1- x = 0
How do I solve this equation?
Answers
Answer:
x = 1
Step-by-step explanation:
Immediately, we will simplify like terms on the left side of the equation. This will give us:
[tex]\sqrt{2x-x-1}[/tex] = 0
Simplifying gives us:
[tex]\sqrt{x-1}[/tex] = 0
Now, an important thing to note, is that for the square root of a number to be 0, the number has to be 0. Therefore, x - 1 must equal 0. So, x = 1. Checking our work gives us:
[tex]\sqrt{2x - x - 1}[/tex] = 0
[tex]\\\sqrt{2 - 1 - 1}[/tex] = 0
[tex]\sqrt{0}[/tex] = 0
It all checks out.
Hope this helped!
Write an equation in terms of x that represents the given statement.
Four increased by three times a number is 34
Answers
Answer: 3x+4=34
Step-by-step explanation: let the number be x
A.T.Q
the number is 3 times i.e 3x
4 increase=3x+4.
and it says the equation is equal to 34.
3x+4=34
25PTS 25PTS don’t have to explain
Answers
Hope that helps!
Answer:
y = 3x - 2
Step-by-step explanation:
What is an intractable problem?
Answers
Answer: A problem is said to be intractable if there is no efficient algorithm to solve it.
Intractable problems are common. We need to discuss how we approach it when we actually encounter it.
Step-by-step explanation:
How many colours do you need to colour a graph such that no adjacent vertices are of the same colour showed in the image below?
Conclusion : Provided the graph with a large number of vertices, we see that we are again faced with resorting to a systematic tracing of all paths, comparison of the neighbour's colours, backtracking, etc resulting in exponential time complexity once again.
Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
A. constant correlation
B. negative correlation
C. positive correlation
D. no correlation
Answers
Answer: B
Step-by-step explanation:
Correlation tells us the relationship of 2 variables. Looking at the graph, the data appears to going down, as we read graphs from left to right. We can automatically eliminate C and D, since we have determined going down. We know it's also not A because if the correlation is constant, then all the dots would be lined up, and not scattered around. Since the dots are going down, this tells us that it is a negative correlation. Hence, B is the answer.
Answer:
B. negative correlation
Step-by-step explanation:
The three largest categories of motor vehicles are sedan, SUV, and minivan. Suppose
hat of the buyers in a particular community who now own a minivan, 18% will change to
an SUV and 20% will change to a sedan. Of the buyers who now own a sedan, 35% will
hange to a minivan and 20% will change to an SUV, and of those who now own an
SUV, 12% will buy a minivan and 32% will buy a sedan.
Draw a transition diagram that displays these changes.
Answers
On solving the provided question, we can say that - here in the percentage obtained = 40 => so, 40/100X100 = 40%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is = 100
obtained = 40
so, 40/100X100 = 40%
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Let r(x) = x2. If r(x) = 4, find x.
Answers
if r(x) = x² and r(x) = 4, then the value of x = ± 2
What is equivalent of value?Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.
For example y = x+5 and the same y = 2x+7
then we can say that x+5 Is also equal to 2x+7
2x+7 = x+5
then x = -2
similarly r(x) = x²
thesame r(x) = 4
this means that x² = 4
solving for x
we find the square root of both sides
√x² = √4
x= ±2
It is ± because square root value as two possible values of either both positive or both negative.
Therefore the value of x is ±2
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answers
Answer:
x ≥ 2
Step-by-step explanation:
the solid circle at 2 indicates that x can equal 2
the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is
x ≥ 2
A rope is fixed between two trees that are 10 metres apart. When a child hangs on to the centre of the rope, it sags so that the centre is 2 metres below the level of the ends. Find the lenth of the rope.
Answers
The length of the rope is 2√29 meters.
What is an isosceles triangle?
An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
Given that the distance between two trees is 2 meters. A boy hangs on a rope tied to the trees in the middle of the rope.
it sags so that the center is 2 meters below the level of the ends.
Thus it forms an isosceles triangle. △ACD and △BCD are two right triangles.
Since △ABD is isosceles triangle and AD = BD.
In △ACD, Hypotenouse = AD, Base = AC = 10/2 = 5 cm, Height = CD = 2 meters
Apply Pythagorean theorem on △ACD:
AD² = AC² + CD²
AD² = 5² + 2²
AD² = 29
AD = √29
Therefore, BD = √29
The length of the rope is AD + BD = 2√29 meters.
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4. Two of the angles in a triangle have measure of 79° and 81°. Which of the angle measures below
could belong to a triangle that is similar to this triangle?
A) 81 and 80°
B) 81 and 20°
C)79° and 90°
D)79° and 21°
Answers
Answer:
B) 81 and 20°
Step-by-step explanation:
In any triangle, the sum of the measures of the three angles is 180°. Therefore, if two angles in a triangle have measures of 79° and 81°, the third angle must have a measure of 180 - 79 - 81 = 20°. Therefore, the answer is B) 81 and 20°.
Answer:
B
Step-by-step explanation: