Answer:
Farmer Bill sold 120 lb of potatoes
Step-by-step explanation:
Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.
Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:
[tex]\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x[/tex]
This is the remaining portion of the potatoes.
Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:
[tex]\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x[/tex]
Thus:
[tex]\frac{1}{12}x=10[/tex]
x = 120 lb
Farmer Bill sold 120 lb of potatoes
The Farmer will sold 120 lb of potatoes.
Let us consider that farmer have x lb of potatoes.
He sold a quarter to the first person, that is [tex]\frac{x}{4}[/tex]
Potatoes left,[tex]=x-\frac{x}{4} =\frac{3x}{4}[/tex]
4/9 of what was left to the second person,
Potatoes sell to second person is, [tex]\frac{3x}{4} *\frac{4}{9} =\frac{x}{3}[/tex]
the third buyer bought 4/5 of what was left
that is, [tex]\frac{4}{5}*(\frac{3x}{4} -\frac{x}{3} ) =\frac{x}{3}[/tex]
Potatoes left [tex]=\frac{5x}{12} -\frac{x}{3} =\frac{x}{12}[/tex]
Since, Potatoes left = 10 lb
So, [tex]\frac{x}{12} =10\\\\x=12*10=120[/tex]
Thus, The Farmer will sold 120 lb of potatoes.
Learn more:
https://brainly.com/question/2785554
2.
(04.01 LC)
Which of the tables represents a function? (5 points)
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer: the awnser is B
please please please please
Which is the product of 11/12 and 4
Answer:
3.66666666667
Step-by-step explanatio
Simplify 6(5x-1)-3(2x-10)
Answer:
30x-6-6x-30
30x-30x-6-6
0-12
-12
f(x) = x + 8; translation 5 units down
Answer:
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
Step-by-step explanation:
The rule to determine the translating down 'b' units:
f(x) – b
It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.
Given the function
f(x) = x + 8
In order to translate 5 units down, all we need is to subtract 5 units from the function.
i.e.
f(x) = x + 8 - 5
f(x) = x+3
Thus, we conclude that f(x) = x+3 is the translated function.
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
45 is 130% of what number?
Answer:
i think the number is 117
2
Two pounds of grapes cost $6. How much does it cost for 5 pounds of grapes
Answer:
if we take the total cost of the grapes, and divide by the number of pounds of grapes we can conclude that each pound of grapes costs $3. so 5 pounds of grapes multiplied by $3 per pound, gives us $15 for 5 pounds of grapes.
Answer:
$15
Step-by-step explanation:
If 2 pounds of grapes cost $6, then one pound of grapes would be $3, because 6 divided by 2 (because there is two pounds) would equal 3. 5 pounds of grapes would cost $15 because 3+3+3+3+3 (or 5 x 3) is equal to 15.
Solve for (-8/5) x - 6 = -54
Answer:
x=30
Step-by-step explanation:
-8/5 - 6 = -54
-8x/5 - 6 = -54
-8x/5 − 6 +6 = -54 plus 6
Then Add the numbers and simplify
so then the answer would be x=30
Answer: x=30
Step-by-step explanation:
If cot 0= 4/3, find csc 0
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
Answer:
Option D
Step-by-step explanation:
a. The sum of a number and one is equal to one added to the number.
Is Sue´s answer correct? if not, why?
Which of these is equal to 4 (−)4
A.()4 B.(−)4 .−()4 D. (−)4
Answer:
(a) [tex]x^4 * (-y)^4 = (xy)^4[/tex]
Step-by-step explanation:
Given
[tex]x^4 * (-y)^4[/tex]
Required
Select and equivalent expression
[tex]A.\ (xy)^4[/tex] [tex]B.\ (-xy)^4[/tex] [tex]C.\ -(xy)^4[/tex] [tex]D.\ (x-y)^4[/tex]
[tex]x^4 * (-y)^4[/tex]
Apply law of indices:
[tex]x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)[/tex]
This gives:
[tex]x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)[/tex]
[tex]x^4 * (-y)^4 =x^4 * y^4[/tex]
x and y have the same exponent; So, they can be expressed as:
[tex]x^4 * (-y)^4 = (x*y)^4[/tex]
[tex]x^4 * (-y)^4 = (xy)^4[/tex]
Help please due soon
Answer:
b is 42
hope that helpssss
Can somebody please help with this? (Slope)
Answer:
the slope is m= 5/31 :)
Compare these data sets. The equation of the trend line is listed below each data set.
2 tables. For table 1, column 1 is labeled H R and column 2 is labeled W. The regression equation is y = 0.39 x + 20.23. For table 2, column 1 is labeled R and column 2 is labeled W. The regression equation is y = 0.15 x minus 23.2.
Which statements are true about these data sets? Check all that apply.
Both sets have negative correlation.
Both sets have positive correlation.
There is no correlation between the sets.
The Runs set has a greater rate of change than the Home Runs set.
The Home Runs set has a greater rate of change than the Runs set.
Answer:
b and e
Step-by-step explanation:
Answer:
2 and 5 or B and E
Step-by-step explanation:
on edge
what's the perimeter of a triangle with sides 2 inches, 3 inches, and 4 inches in length?
Answer:
maybe 9
Step-by-step explanation:
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!
Answer:
A
Step-by-step explanation:
When I did the two questions on the white board, only equation one had infinite solutions. Equation 2 have no solutions.
32. The price of a box of tarts is $1 cheaper than that of a loaf of bread. If 3 times the price of a
loaf of bread is $29.5 more than half of the price of a box of tarts, find the price of a box of
tarts.
A. $4.3
B. $7.7
C. $9.84
D. $13
Answer: $8.60
Step-by-step explanation:
Let the price of a bread = x
Let the price of a tarts = x - 1
If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:
3 × x = 1/2 × (1 - x) + 29.5
3x = 0.5 - 0.5x + 29.5
3x + 0.5x = 29.5 + 0.5
3.5x = 30
x = 30/3.5
x = 8.6
. If A = P + I, find l, when A= 4500 and P= 3750.
Answer:
Step-by-step explanation:
A = P + I
Putting values in the equation
4500 = 3750 + I
4500 / 3750 = I
1.2 = I
Answer:
I=750
Step-by-step explanation:
soln ,
here ,
A=4500
P=3750
I=?
Now,
A=P+I
or,4500=3750+I
or,I=4500-3750
•°•I=750
hope this helps^-^
Which expression is equal to (x+2)(x−4)(x−4)(x+4)?
x+2x+4
x−2x+4
x−2x−4
x+4x+2
Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.
x
2
=
16
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
16
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
4
,
−
4
Exclude the solutions that do not make
x
2
x
−
4
=
16
x
−
4
true.
x
=
−
4
Step-by-step explanation:
What is the value of the digit 2 in 82.6?
Answer:
It's equal to two "ones" ;v;
Step-by-step explanation:
The 8 is 80 "Tens", the 2 is 2 "ones" and the 6 is 6 tenths
Answer:
The value of 2 is 2The place value of 2 is onesI hope it helps ❤❤A manager of a clothing store always orders 2 small T-shirts and 3 large T-shirts for
every 4 medium T-shirts. The manager plans to order 24 medium T-shirts. How
many small T-shirts and large T-shirts should the manager order? Show your work.
Answer:
12 small, 18 large
Step-by-step explanation:
x - small
y - large
z- medium
4z=2x=3y then she orders 24
24/4=6 times more than usually, so we should *6 for every x and z
24z=6*2x=6*3y
12 - x - small tshirt
18 - y - large
Whats 6 X 1 X + 5 X 1/10 in standard form and someone pls
Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?
Answer:
4.625
Step-by-step explanation:
that is the answer
In an arithmetic sequence, a3=15 and a8=0. What is the value of a5?
If x = 8 and n = 3, Evaluate the following expression: 3x - 3n + 2
Answer:
7
Step-by-step explanation:
3x8-3x3+2
24-3x3+2
24-9+2
15+2
=17
6. Andrea deposits $350 dollars in her
checking account on Tuesday. On
Wednesday she withdraws $100. On
Thursday she deposits $75. Which of the
following shows the change in Andrea's
account from Tuesday to Thursday?
Help
Is (9w x 0) -12 and 9w -12 equivalent
Answer:
no its not
Step-by-step explanation:
You would have to multiply 9w times -12 and 0 times -12 which does not equal the equation
Match each equation to its solution
Step-by-step explanation:
First one on the left = Second one on the right
Second one on the left = First one on the right
Third one on the left = Third one on the right
please help me i need help i'll help you if you help me !
i will mark you as brill
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
To solve these questions, we do the following:
Whatever is being applied to a part of the ratio must be done on the other part
Solving (9):
[tex]Ratio = \frac{2}{7}[/tex]
Multiply through by 2
[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]
Multiply through by 3
[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]
Multiply through by 5
[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]
Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]
[tex]Ratio = 3\ to\ 7[/tex]
Multiply by 3
[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]
[tex]Ratio = 4.5\ to\ 10.5[/tex]
Multiply by 4
[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]
[tex]Ratio = 6\ to\ 14[/tex]
Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]
[tex]Ratio = 1.25\ to\ 0.25[/tex]
Multiply by 2
[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]
[tex]Ratio = 12.5\ to\ 2.5[/tex]
Multiply by 4
[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]
[tex]Ratio = 25\ to\ 5[/tex]
Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5
Solving (12):
[tex]Ratio = 3 : 3\frac{1}{2}[/tex]
Multiply by 2
[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]
[tex]Ratio = 6: 7[/tex]
Multiply by 4
[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]
[tex]Ratio = 12: 14[/tex]
Multiply by 6
[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]
[tex]Ratio = 18: 21[/tex]
Hence, the equivalents are: 6:7, 12:14 and 18:21
Solving (13)
[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]
Convert mixed fraction to improper fraction
[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]
Multiply by 2
[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]
[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]
Multiply by 3
[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]
[tex]Ratio = 5 : \frac{15}{4}[/tex]
Multiply by 12
[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]
[tex]Ratio = 20 : 15[/tex]
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15