Answer:
Change in number of bushels after 6 days = 46.4 bushels.
Explanation:
A farmer has 140 bushels of wheat to sell at his roadside stand.
He sells an average of [tex]15\frac{3}{5}[/tex] bushels each day = [tex]\frac{15*5+3}{5} =\frac{78}{5}[/tex]bushels
Total number of bushels sold after 6 days = 6* [tex]\frac{78}{5}[/tex] = 93.6 bushels.
Change in number of bushels after 6 days = 140 - 93.6 = 46.4 bushels.
Answer: He has about 46 bushels left (46.4)
Step-by-step explanation:
Hi, to answer this question we have to multiply the average sell of bushels per day (15 3/5) by the number of days stated (6):
15 3/5 x 6 = (15x5+3)/5 x 6 = 78/5 x 6 = 468/5 = 93.6Finally we have to subtract the number obtained to the number of bushels that the farmer had at the beginning.
140 -93.6 = 46.4He has about 46 bushels left (46.4)
Feel free to ask for more if needed or if you did not understand something.
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.
Find the sum or difference 167.9+83.97
Answer: 251.87
Hope it helps
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.
Bill has to give medicine to his cat every morning for the next
14 days. How many weeks is this?
Answer:
The answer is 2 weeks. Hope this helped ! :)
Step-by-step explanation:
Answer:
It is 2 weeks because there is 7 days in one week so you would have to divide 14 by 7 and it would be 2
Step-by-step explanation:
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
~
Factor by grouping xy+8y+7x+56
Factor out y in xy+8y and factor out 7 in 7x+56
y(x+8) + 7(x+8)
(x+8)(y+7)
The expression xy + 8y + 7x + 56 is factored by grouping into (y + 7)(x + 8), by first factoring out the greatest common factors from each grouped pair and then recognizing a common binomial that can be factored out.
The question involves the topic of factorization by grouping, which is a method used in algebra to simplify expressions by finding common factors. The student is asked to factor the expression xy + 8y + 7x + 56. This expression can be factored by grouping in pairs and finding common factors within each group, after which the resulting expressions will also have a common factor that can be factored out.
Step-by-step solution:
Group the terms: (xy + 8y) + (7x + 56).
Factor out the greatest common factor from each group: y(x + 8) + 7(x + 8).
Notice that (x + 8) is a common factor and can be factored out again, which gives us the final factored form: (y + 7)(x + 8).
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.
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?
What is 3N?
A.
B.
C.
D.
It seems like it just wants you to multiply the numbers inside by 3 soooo :
N = (-2 , 0 / 3 , 5) * 3
N = (-6 , 0 / 9 , 15)
Answer is C.
The scalar multiplication of matrix [tex]3N = \left[\begin{array}{cc}-6&0\\9&15\end{array}\right][/tex].
What is matrix?A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the numbers.
For the following matrix N,
Given,
[tex]N =[/tex] [tex]\left[\begin{array}{cc}-2&0\\3&5\end{array}\right][/tex]
In order to find 3N:
To do the first scalar multiplication to find 3N, I just multiply a 3 on every entry in the matrix:
[tex]3N = \left[\begin{array}{cc}3\times-2&3\times0\\3\times3&3\times5\end{array}\right][/tex]
or,
[tex]3N = \left[\begin{array}{cc}-6&0\\9&15\end{array}\right][/tex]
Therefore, the matrix is [tex]3N = \left[\begin{array}{cc}-6&0\\9&15\end{array}\right][/tex] is C.
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Help 10 minutes to turn in
y = -x + 8 is the correct answer. Trust me, I just graphed it out. ;)
The slope-point form of a line:
[tex]y-y_1=m(x-x_1)[/tex]
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have (5, 3) and (2, 6).
Substitute:
[tex]m=\dfrac{6-3}{2-5}=\dfrac{3}{-3}=-1[/tex]
[tex]y-3=-1(x-5)\\\\y-3=-x+5\qquad|+3\\\\y=-x+8[/tex]
Answer: y = -x + 8The square root of 5 is between which two integers? Explain your reasoning.
Answer:
Between 2 and 3
Step-by-step explanation:
square root of 5 = 2.2360679775
This number is between 2 and 3
(I hope this was the correct answer to the question asked )
The square root of 5, while not a whole number, lies between the integers 2 and 3 as it represents a value between 2 squared (4) and 3 squared (9).
Explanation:The square root of 5 is indeed between two integers. To understand this concept, it's important to grasp what square roots represent. If a number is squared, like 2², it becomes 4. So, the 'square root' of 4 would be 2, the number that was initially squared. In the case of the number 5, there's no integer that can be squared to result in exactly 5. However, it is known that 2²=4 and 3²=9. Therefore, the square root of 5, being between 4 and 9, must lie between the integers 2 and 3. This is why we can confidently say that the square root of 5 is between the integers 2 and 3.
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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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Pizza Palace cuts a medium pizza into 8 slices. The same size pizza at Pizza Pioneers is cut into 16 slices. Jasmine ate 4 slices of a medium pizza from Pizza Pioneers. What fraction of the pizza from Pizza Palace is equal to 4/16? Explain.
Jasmine ate an equivalent of 1/4 of a Pizza Palace pizza when she had 4 out of 16 slices from a Pizza Pioneers pizza, which is the same as 2 out of 8 slices.
Explanation:Jasmine ate 4 slices of a medium pizza from Pizza Pioneers, which was cut into 16 slices. To find out what fraction of a Pizza Palace pizza (which is divided into 8 slices) she ate, we compare the fractions. The fraction 4/16 can be simplified to 1/4 by dividing both the numerator and the denominator by 4. Therefore, Jasmine ate the equivalent to 2 slices of a Pizza Palace pizza since 1/4 of the Pizza Palace pizza is 2 out of 8 slices (2/8 which also simplifies to 1/4).
Final answer:
Jasmine's 4 out of 16 slices from Pizza Pioneers is equal to 1/4 of a pizza. When converting this to Pizza Palace's 8-slice pizza, it is equivalent to 4 out of 8 slices, or 1/2 of their pizza.
Explanation:
When dealing with fractions of pizzas, we're exploring the concept of equivalence. In the scenario where Pizza Palace cuts their medium pizza into 8 slices, and Pizza Pioneers cuts the same size pizza into 16 slices, we're comparing two different fraction denominators for the same whole.
Jasmine ate 4 slices out of 16 at Pizza Pioneers. This is 4/16 of a pizza, which simplifies to 1/4 when divided by 4 (both numerator and denominator). Now, since Pizza Palace cuts their pizza into 8 slices, to find the equivalent fraction, we need to determine what fraction 1/4 is when the pizza is instead cut into 8 pieces.
To do so, we realize that half of Pizza Palace's pizza (which is cut into 4 slices) is the same as 1/4 of the pizza from Pizza Pioneers. Therefore, 4 out of 8 slices at Pizza Palace would equal the 4 out of 16 slices Jasmine ate at Pizza Pioneers.
A triangular frame has sides that measure 15'-7",20'-4" and 26'-2". What is the total length of three sides?
we know that
[tex]1\ foot=12\ inches[/tex]
[tex]1'=12"[/tex]
Part 1)
we know that
side 1=15'-7"
side 2=20'-4"
side 3=26'-2"
To find the total length of three sides sum the three sides
so
total length=side 1+side 2 +side 3
substitute
total length=15'-7"+20'-4"+26'-2"
total length=(15'+20'+26')+(7"+4"+2")
total length=(61')+(13")
remember that
12"=1'
13"=12"+1"=1'+1"
substitute
total length=(61')+(1'+1")
total length=(62')+(1")---------> 62'-1"
therefore
the answer is
the total length of three sides is 62'-1"
To calculate the total length of the three sides of the triangular frame, add the lengths together. Convert inches to feet where necessary. The total length is 62'-1".
Explanation:The subject of this question is Mathematics, specifically basic addition within the context of geometry, specifically a triangular frame. To find the total length of the three sides of a triangular frame, we simply need to add the lengths of each side together. So, we add 15'-7", 20'-4", and 26'-2" together.
First, we tally the inches separate from the feet. Doing so, 7" + 4" + 2" gives us a total of 13". However, because there are 12" in a foot, we are left with 1", and 1' extra to add to our total feet.
The feet calculation then becomes 15' + 20' + 26' + 1' (from extra inches) which gives us a total of 62'. Therefore, the total length of the three sides of the triangular frame is 62'-1".
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What is the simplified form of the quantity 1 over y plus 1 over x all over 1 over y minus 1 over x?
The answer is (x+y)/(x-y)
So we have all of "x+y" over top "x-y" as one big fraction.
Check out the attached image for the steps on how I got the answer.
Answer:
The answer is (x+y)/(x-y) hope this helps :)
Step-by-step explanation:
You find the lowest common denominator of all of the fractions. Then you multiply them by the denominators. You cancel. Then the only terms that are left are (x+y) and (x-y).
What is the measure of ENV
Answer:
Step-by-step explanation:
Tinker what’s yo snap
The multiplicative identity states that any number multiplied by 0 is the number itself. True False
false i think hope this helps
Answer:
this is false, the identity property states any number multiplied by 1 is itself
Step-by-step explanation:
There are 13 cups of milk in a container. You drink.75 cup of the milk each morning and 2.5 cups of milk each evening. When will you run out of milk?
The total daily consumption of milk is 3.25 cups (0.75 in the morning and 2.5 in the evening) and there are 13 cups of milk total. So if you divide the total milk by daily consumption, which is 13 ÷ 3.25, you get 4. Therefore, you will run out of milk in 4 days.
Explanation:This is a simple math problem that can be solved with division and addition. You are consuming .75 cups of milk every morning and 2.5 cups of milk every evening. Therefore, each day, you are drinking a total of 0.75 + 2.5 = 3.25 cups of milk. There are 13 cups of milk present initially and every day you're consuming 3.25 cups. To find out when will you run out of milk, you simply divide the total amount of milk by the amount of milk drank per day: 13 ÷ 3.25 = 4 days. Therefore, you will run out of milk in 4 days.
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Find the equation of the line perpendicular to the line y=−3x+5 that passes through point (2, 6).
Answer:
[tex]y=\frac{x}{3}+\frac{16}{3}[/tex]
Step-by-step explanation:
Hello, I think I can help you with this
Step 1
let line 1
y=-3x+5
this equation is in the form y= mx+b, where m is the slope,Hence
-3x=mx
-3=m
m(1)=-3
Step 2
two lines are perpendicular if the product of their slopes is equal to -1
[tex]m_{1}*m_{2} =-1\\m_{1}=-3\\-3*m_{2} =-1\\\\m_{2}=\frac{-1}{-3}\\m_{2}=\frac{1}{3}\\\\[/tex]
Step 3
find the equation of the line
[tex]y-y_{0}=m(x- x_{0})[/tex]
Let
[tex]P(2,6)\\slope=\frac{1}{3} \\ put\ the\ values\ into\ the\ equation\\y-y_{0}=m(x- x_{0})\\y-6=\frac{1}{3}(x-2)\\y-6=\frac{x}{3}-\frac{2}{3}\\y=\frac{x}{3}-\frac{2}{3}+6\\\ y=\frac{x}{3}+\frac{16}{3}[/tex]
Have a nice day.
Which pair of variables has a clear causal link between the two named variables?
A.
the number of hats sold and the number of mittens sold in a city
B.
the amount of butter and the amount of bread consumed by a family
C.
the number of notebooks sold and the number of pens sold in a stationery store
D.
the number of air conditioners sold per day in a city and the daily temperature
E.
the number of hours a person can swim and the depth of the pool
Answer:
D. the number of air conditioners sold per day in a city and the daily temperature
Step-by-step explanation:
Let analyse all the possible answers:
A. the number of hats sold and the number of mittens sold in a city
They show no relationship towards each other, both of them are independent variables. If you buy hats, you can buy mittens or not it is ok.
B. the amount of butter and the amount of bread consumed by a family
They show no relationship towards each other, both of them are independent variables. If you buy bread, you can eat it with jams, without butter is fine.
C. the number of notebooks sold and the number of pens sold in a stationery store
They show no relationship towards each other, both of them are independent variables. I can use pencil to write on that notebooks, do not need to buy pens.
D. the number of air conditioners sold per day in a city and the daily temperature
They show a strong relationship towards each other, the daily temperature is the independent variable and it makes people want to buy air conditioners (dependent variable)
E. the number of hours a person can swim and the depth of the pool
They show no relationship towards each other, both of them are independent variables. The number of hours a person can swim depends on their ability.
So we choose D.
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.
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
how many kilograms are there in 17 pounds?
Answer,
17lbs = 7.71107kg
Rounded it would be, 7.7 Kg
Explanation,
If you know that 1lbs to kg is, 0.453592 kg just multiply that by 17 lbs.
Then you will get, 7.71107 kg
If you would like a rounded answer, just round it & you will get 7.7 kg
Hope this helps :-)
Final answer:
To convert 17 pounds to kilograms, multiply 17 by the conversion factor 0.45359237 to get 7.71107 kilograms. Considering significant figures and rounding to the tenths place, the final answer is 7.7 kilograms.
Explanation:
To convert 17 pounds to kilograms, we have to use the conversion factor between these units. A common conversion factor is that 1 pound is approximately equal to 0.45359237 kilograms. Therefore, to convert 17 pounds to kilograms:
Multiply 17 pounds by the conversion factor 0.45359237 kilograms per pound.
The result of the multiplication gives us the weight in kilograms.
17 pounds * 0.45359237 kilograms/pound = 7.71107 kilograms. However, we need to consider significant figures and round our answer appropriately.
Next, we identify the least precise measurement: 13.7 kg. This measurement is expressed to the 0.1 decimal place, so our final answer must also be expressed to the 0.1 decimal place. Thus, the answer should be rounded to the tenths place, giving 7.7 kg as the converted mass.
Jack and his three siblings made a spinner to decide who has to do each chore. If there are three chores to do, what is the probability that Jack will have to do at least one of them? A. 37/64 B. 175/256 C. 7/8 D. 7/16
Answer:
7/8
Step-by-step explanation:
Because he has three brothers, and it also depends on how many times the spinner turns on each turn
The probability that Jack will have to do at least one chore is closest to B. 175/256 (approximately 0.683594). We calculated this by determining the probability of the opposite event (Jack doing none of the chores) and subtracting it from 1.
Explanation:The question is essentially asking: what is the probability that Jack will have to do at least one chore? When dealing with probabilities, it's often easier to calculate the chance of the opposite event and then subtract from 1.
In this scenario, the opposite event is Jack doing none of the chores. If there are 4 kids (including Jack), the probability of Jack not doing a specific task is 3 out of 4, or 0.75. Because there are three tasks, we multiply this probability three times (0.75*0.75*0.75), which equals 0.421875.
However, we want the probability that Jack will do at least one task, which is the opposite of him doing none. Therefore, we subtract this probability from 1: 1 - 0.421875 = 0.578125.
So, the closest answer to our result would be B. 175/256, which is approximately 0.683594, a little more than our calculated probability, but the closest among the given choices.
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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.
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
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:
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!
Subtract. 405,000,000-1.7×10^8
Answer:
2.35x10^8....