larger amount = 630
the smaller amount, that is 5 parts is 450
divide 450 by 5 to find 1 part of the ratio
[tex]\frac{450}{5}[/tex] = 90 ← 1 part
7 parts, the larger amount = 7 × 90 = 630
Which is irrational?
0.117117117...
0.8596873205...
0.812812812812...
0.605605605...
0.8596873205... because it does not repeat the same numbers in a certain order
Without a repeating pattern, 0.8596873205... is most likely irrational.
The question is asking us to identify which among the given numbers is irrational.
An irrational number is a number that cannot be expressed as a ratio of two integers, and whose decimal expansion is non-terminating and non-repeating.
Among the options given, the number 0.8596873205... (although not fully expanded) is likely to be irrational if the digits do not form a repeating pattern.
However, we cannot definitively conclude that it is irrational without additional information about the continuation of its decimal digits.
In contrast, numbers with repeating patterns, such as 0.117117117..., 0.812812812812..., and 0.605605605..., can be expressed as fractions and are therefore rational
Consider the polynomials A=4x2−10 and B=−6x2−5 . Determine the sum and difference of these polynomials. A+B=
A−B=
A + B = - 2x² - 15 , A - B = 10x² - 5
A + B = 4x² - 10 - 6x² - 5 = - 2x² - 15
A - B = 4x² - 10 ) - ( - 6x² - 5 ) = 4x² - 10 + 6x² + 5 = 10x² - 5
Pecan trees yield 45 pounds per acre and hazelnut trees yield 25 pounds per acre. Suppose Jenna’s farm has p acres of pecan trees, h acres of hazelnut trees, and yields 900 pounds of nuts. What is the equation that represents this scenario?
Answer:
Equation, 45 p + 25 q = 900
Explanation:
Pecan trees yield 45 pounds per acre and hazelnut trees yield 25 pounds per acre.
Pecan tree yield per acre = 45 pounds
Hazelnut tree yield per acre = 25 pounds
Acres of pecan trees in Jenna's farm = p
Acres of hazelnut trees in Jenna's farm = q
Total pounds of nut yielded = 900
So we have the equation,
45 p + 25 q = 900
the graph shows the cost of traveling by car on a turnpike (graph shown in picture)
The slope of the line for the cost of traveling by car on a turnpike simplest form is -1.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points (8, 0.60) and (32, 2.40) into the formula for the slope of a line, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (2.40 - 0.60)/(32 - 8)
Slope (m) = 1.8/24
Slope (m) = 3/40.
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Complete Question:
The graph shows the cost of traveling by car on a turnpike. What is the slope of the line?
By which process are clouds dew and fog formed
Condensation. The water that evaporates into the sky gets condensed into clouds. For the dew,
"Dew is water in the form of droplets that appears on thin, exposed objects in the morning or evening due to condensation. As the exposed surface cools by radiating its heat, atmospheric moisture condenses at a rate greater than that at which it can evaporate, resulting in the formation of water droplets."
Clouds, fog, and dew result from condensation, where cooling water vapor transforms into water droplets. Fog is a type of cloud at ground level, and dew forms on surfaces when the air cools down to the dew point. Clouds form aloft when droplets condense around microscopic particles in the air.
Explanation:Formation of Fog, Dew, and Clouds
The formation of fog, dew, and clouds is a result of the condensation process. When water vapor in the atmosphere cools, it changes into tiny droplets of liquid water. Clouds form when these droplets, which combine around condensation nuclei such as dust or pollen, group together aloft in the atmosphere.
Fog is essentially a type of cloud that forms near the ground level when the air temperature drops to the dew point where the air reaches saturation. Dew forms at the surface, typically during the night under cloudless skies and high humidity, when the surface cools enough to reduce the near surface air temperature to the dew point.
Frontal fogs occur due to a humidification process where warm, moist air over cooler, drier air at a weather front reach saturation and fog forms.
g.o ha 3 orange picks gor every 2 green if there are 25 in all how many are orange
To solve this problem you must apply the proccedure shown below:
1. You can make the following expression, where [tex]O[/tex] is the orange picks and [tex]G[/tex] is the green picks:
[tex]O+G=25[/tex]
2. You have that there are 3 orange picks gor every 2 green, therefore:
[tex][tex]\frac{3}{2} =\frac{O}{G}\\ G=\frac{2}{3}O[/tex][/tex]
3. Substitute [tex]G[/tex] into the first equation and solve for [tex]O[/tex]:
[tex]O+\frac{2}{3}O=25\\ \frac{5}{8}O=25\\ O=15[/tex]
The answer is: There are 15 orange.
Solve and graph the absolute value inequality 6b<24 or 4b + 12 > 4
6b < 24 |:6
b < 4
or
4b + 12 > 4 |-12
4b > -8 |:4
b > -2
-2 < b < 4
Please help with the question ASAP
Cherries cost 4 dollars per pound. Mother bought r lbs and father bought 2 lbs. How much more money did mother spend on cherries than father?
Answer:
4r-8
Step-by-step explanation:
First mother buys r lbs and that means it's 4*r and you simplify that to 4r. So you have that much money right now. You have to subtract 2*4 which can be simplified to 8. That's how you get 4r-8
(4r - 8) dollars more money mother spend on cherries than father.
What is a numerical expression ?A numerical expression is written in form of numbers and their operations.
According to the given question Cherries cost 4 dollars per pound.
Mother bought r lbs.
∴ Cost of the cherries are weight times dollars per pound which is = 4r.
Father bought 2 lbs so the cost of the cherries are = 4(2) = 8 dollars.
Given how much money more did mother spend on cherries than father so cost of cherries that mother bought is a greater value so we subtract the smaller value from the greater value which is 4r - 8,Where r must be greater than two.
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dam, Beth, and Carly walked a total of 10 miles collectively. Beth walked twice as far as Adam, and she walked a half a mile further than Carly. If a = number of miles Adam walks, b = number of miles Beth walks, and c = number of miles Carly walks, which equation is NOT true for this situation?
A) b = 2a
B) b = c + 0.5
C) 3a + c = 10
D) a + 2c = 10.5
9514 1404 393
Answer:
D) a + 2c = 10.5
Step-by-step explanation:
The given relations can be written using the equations ...
a +b +c = 10
b = 2a
b = c +0.5
Substituting the second equation into the first, we get ...
a +2a +c = 10
3a +c = 10 . . . . . . . . simplified
The equations in bold above are ones that apply in this situation.
__
If we substitute the third equation into the first, we get ...
a + (c +0.5) + c = 10
a +2c = 9.5 . . . . . . . . . . subtract 0.5 from both sides, simplify
Note that this does not match the equation of answer choice D, which is NOT true for this situation.
the area of a rectangular picture frame is 30 1/3 square inches the length is 6 and 1/2 in find the width of the frame
A=length*width
30 1/3 = 6 1/2 w
w= 30 1/3 divided by 6 1/2
w=182/39
w=4 2/3
4 and 2/3
i turned it into an improper fraction
91/3÷13/2=
4 2/3 when simplified
5x + 2y = 5 3x - y = 14 Which of the following equations is not a result of solving the system of equations by addition?
11x = 19
11y = -55
11x = 33
Answer:
11x = 19
Step-by-step explanation:
The equation 11x = 19 is not a result of solving the system of equations by addition.
What is the general equation of a Straight line? What is a linear system of equations?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
A system of linear equations is usually a set of two linear equations with two variables.
We have the system of equations as -
5x + 2y = 5
3x - y = 14
Assume that -
5x + 2y = 5 ..[1]
3x - y = 14 ..[2]
Eq[2] x 2, we get -
6x - 2y = 28 ..[3]
Adding [1] and [3], we get -
11x = 33
x = 3
The equation 11x = 19 is not a result while solving the equations
Therefore, the equation 11x = 19 is not a result of solving the system of equations by addition.
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please answer and explainp
carol has only 20p and 10p coins in her purse
she has three times as many 20p coins and 10p coins
if Carol has £4.20 altogether, how many 20p coins does she have
Carol has 18 20p coins in her purse, determined by creating and solving an equation based on the coin values and the total amount of £4.20.
The question requires us to figure out how many 20p coins Carol has if she has three times as many 20p coins as 10p coins and the total amount is £4.20. To solve this, let's let the number of 10p coins be x and the number of 20p coins be 3x since she has three times as many 20p coins.
Now, we can create an equation based on the value of the coins. Each 10p coin is worth 0.10 pounds and each 20p coin is worth 0.20 pounds. The total value can be represented by this equation: (0.10x) + (0.20 * 3x) = 4.20.
Simplifying this, we get 0.10x + 0.60x = 4.20, which adds up to 0.70x = 4.20. Dividing both sides by 0.70 to solve for x, we have x = 6. Since x represents the number of 10p coins, and there are three times as many 20p coins, we multiply 6 by 3 to find the number of 20p coins, which is 18.
Therefore, Carol has 18 20p coins.
Marsha at 8/9 yard of fabric she cut it into four pieces of equal length. How long was each piece?
Round 0.0695712 to 1 significant figure
0.07 to 1 significant figure
the zero's are not significant. They are place settings.
The 6 is significant and the 9 following it round the 6 to 7
hence, 0.07 is the rounded value
ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR PLEASEEEEEEEEEEEEEEEEE
Its 41....VERY EASY
Let me show you:
4*4= 16 because of the exponent (2)
4 times 4 =16
Then add by 25..
Which gives u 41..
Hope this helps....
Answer:
41, or (C) is your answer
Step-by-step explanation:
Remember to follow PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction)
First, solve the power.
4² = 4 x 4 = 16
Next, add.
16 + 25 = 41
(C) 41, is your answer
~
7.14 x 10^10 + 3.15 x 10^10
102900000000 is the answer
Im pretty sure.. Im 50/50
Hope this helps... Just comment me and say if im wrong or right
BTW I did the question on the calculator and got that answer
To add 7.14 x 10^10 and 3.15 x 10^10, sum the coefficients (7.14 + 3.15 equals 10.29) and keep the common exponent, resulting in the answer 10.29 x 10^10.
Explanation:The student's question involves the addition of two numbers that are written in scientific notation. This is a common operation in mathematics, specifically when dealing with very large or very small numbers. To add these numbers, we can simply add the coefficients (7.14 and 3.15) since the powers of 10 are the same (10^10 in both cases).
Here is the calculation step-by-step:
Add the coefficients: 7.14 + 3.15 = 10.29.Since the exponent part (10^10) is the same for both numbers, we keep it the same in the result.Combine the sum of the coefficients with the exponent part to get the final answer: 10.29 x 10^10.Therefore, the sum of 7.14 x 10^10 and 3.15 x 10^10 is 10.29 x 10^10.
Cooper is grating cheese for the family taco
dinner. He grates 1_
2 cup of cheddar cheese and
3_
4 cup of monterey jack cheese. How much
cheese does Cooper grate?
Answer:
the answer is 5/4 cup
Step-by-step explanation:
the equation would be 1/2 + 3/4. to have common denominators, you multiply the numerator and denominator by 2, which changes the equation to 2/4 + 3/4. then you add the numerators up and you get 5/4 cup
A(1) = -13 a(n-1) + 4 find the 2nd term in the sequence
Solution
The sequence is an Arithmetic sequence.
Here the 1st term = -13
An = A(n-1) + 4
Therefore, the common difference (d) = 4
2nd term = first term + common difference
2nd term = -13 + 4 = -9
The answer is -9.
What is 737.303 - 43.866
To subtract 43.866 from 737.303, align the decimal points and subtract the corresponding digits from right to left.
Explanation:To subtract 43.866 from 737.303, align the decimal points of the two numbers. Then subtract the corresponding digits from right to left, carrying over as necessary. The result is 693.437.
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90998.0014483 rounded to the nearest ten
Answer:
91000 or 9.100 * 10^4
Step-by-step explanation:
This mean that a lot of things are going to change. The decimal will disappear. If that happens what you have is
90998
Now many other things will disappear as well because you are rounding
The easiest way to show this is just to round which will give you
91000
If you know scientific notation then the answer becomes
9.100 * 10^4
A pet store has nine dog leashes. It has a few were dog leashes then dog collars. How many dog collars does the store have
Does it say how many less leashes the store has compared to X collars? Cause if it doesn't you'll just have to estimate the answer between I would say 5 and 7.
which of the following is a solution to the equation 2x^2+4x=3+3x^2
In order for them to be of an equal quotient, a possible solution for x is 3 or 1.
Which statement is true about the given set of data? {(4, 0), (5, 0), (8, 0), (11, 0)}
{4, 5, 8, 11} are the domain.
{4, 5, 8, 11} are the range.
{4, 5, 8, 11} are the outputs.
{4, 5, 8, 11} are functions.
Answer:
a
4,5,8,11 are the domain
Step-by-step explanation:
x is always the domain, input and It could also be a function but I don't think that only four five eight and 11 are functions so I would go with a
Out of the provided statements, the correct one is that {4, 5, 8, 11} are the domain, as these values are the first elements in each ordered pair of the given set.
The set of data given is {(4, 0), (5, 0), (8, 0), (11, 0)}, and with respect to this set, the domain is the set of first elements of each ordered pair, while the range is the set of second elements. In this case, the domain is the set {4, 5, 8, 11}, and the range is the set containing just one element, which is {0}, since each second element is 0. Therefore, the correct statement is: {4, 5, 8, 11} are the domain.
Rachael has a rope 5 m 32 cm long that she cut into two pieces. One piece is 249 cm long. How many centimeters long is the other piece of rope?
1 m = 100 cm, so 5 m = 500 cm plus the 32 cm, so she has a rope that is 532 cm long.
532 - 249 = 283 cm
So the other piece of rope is 283 cm long.
The length of the other piece of rope is 283 cm after subtracting 249 cm (the length of the one cut piece) from 532 cm (the total length of the rope).
Explanation:The problem involves subtraction to find the length of the other piece of rope. Firstly, convert all measurements to the same unit for accuracy. Rachael's original rope length is 5 m 32 cm, which is the same as 532 cm (since 1 meter = 100 cm). The length of the one piece she cut off is 249 cm. To find the length of the other piece, subtract the length of the cut piece from the total length.
So, 532 cm - 249 cm = 283 cm.
Therefore, the other piece of rope is 283 cm long.
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A diver is swimming at -10m. he then descends 3 m and rises 6 m. at what new level is the diver swimming?
Hey there!
The correct answer would be~
The diver is now swimming at -7 meters.
Here's how:
If the diver is already swimming at negative 10, going deeper would add to that.
(-10) + (-3) = -13
So at this point, he is at -13 meters. However, it says he rises 6 meters.
So if he rises, we need to subtract.
13 - 6 = 7
Therefore he is now at -7 meters.
Hope this helps!
~Fluerie
Justine wants to factor the expression 16a+40b by finding the GCF. How can you tell if she factors out the correct GCF
Final answer:
To factor the expression 16a+40b by finding the GCF, you determine that the GCF is 8 and then express the original terms as 8(2a + 5b). By distributing the GCF back into the factored terms and obtaining the original expression, you confirm the factorization is correct.
Explanation:
To factor the expression 16a+40b by finding the Greatest Common Factor (GCF), you first list the factors of each coefficient:
Factors of 16 are 1, 2, 4, 8, 16.
Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
The GCF for these two numbers is 8 because it is the highest number that divides both 16 and 40 evenly. Now, you factor out the GCF from both terms in the expression:
8(2a + 5b)
To verify if the GCF is factored out correctly, you can distribute 8 back into the terms within the parentheses. If the original expression is obtained, the GCF was factored out correctly:
8*2a = 16a
8*5b = 40b
Therefore, the factored expression is correct, and Justine has successfully found and factored out the GCF.
What is the square root of 175 rounded to the nearest tenth?
Hello HahaThisNameIsTaken, I am here to answer your question:
Well, we would first need to get the square root of 175, which is:
[tex]\sqrt{175} = 13.2287566[/tex], then we just find round to the tenth which would give us 13.2
So the answer is: The square root of 175 rounded to the nearest tenth is 13.2
I hope this helped answer your question!
Is 4b^2 - 26b + 169 a perfect square trinomial? Explain
Use the formula (b/2)^2 in order to create a new term in order to find the perfect square trinomial.
Answer: 4b^2−26b+845/4
No because you can still simplify it and get the ^ answer above as the perfect trinomial. Therefore if you can still simplify it then it is not perfect.
Answer: Use the formula (b/2)^2 in order to create a new term in order to find the perfect square trinomial.
Answer: 4b^2−26b+845/4
No because you can still simplify it and get the ^ answer above as the perfect trinomial. Therefore if you can still simplify it then it is not perfect.
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation: