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
What is the total area of the shaded region? Type just the answer in the blank.
Answer:
240cm
Step-by-step explanation:
6cm*14cm= 84cm
6*6=36
84+36=120*2=240
Answer:
7cm x 8cm
Step-by-step explanation:
The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').
Half the values of each side are subtracted from one another, so
horizontal length: 14/2 = 7cm
vertical length: 12/2 = 6cm
Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)
14 - 7 = 7cm
Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)
12 - 6 = 6cm
The total area is calculated by multiplying the horizontal and vertical lengths
7x6 = 42
the answer is 42
Solve to find X. 3 ≥ -3x
Answer:
-1 ≤ x
Step-by-step explanation:
You just need to divide -3 on both sides.
-1 ≤ x
Note that since you are dividing by a negative number, the sign flips.
-1 ≤ x
Step-by-step explanation:
First start with the equation:
3 ≥ -3x
divide by -3 to get x positive and singular:
-1 ≥ x
and since we divided by a negative we need to flip the sign:
-1 ≤ x would be your answer
hope this helped :)
error
question not used
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
2x2 + 8x - 7 = 0
How to solve
x =(8-√120)/4=2-1/2√ 30 = -0.739
Step-by-step explanation: calculator
Answer:
2 x 2 +8x -7= 0
4+8x-7=0
-3+8x=0
8x=0+3
8x/8=3/8
x=3/8
x=0.375
Step-by-step explanation:
1.Multiply 2x2 to get 4
2.Calculate the difference between 4-7
3.Move the constant to the right side
4.Divide both sides of the equation by 8
plz help me i really beg of you!
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.
Work out Ted's total pay for last week.
Answer:
The answer is 122.45
Step-by-step explanation:
So basically we know that he worked 15 and 1/2 hours
He gets paid £7.90 for every hour he works
7.90 × 15 = 118.5
Then you do half of £7.90 which is £3.95 because he worked 1/2 hours half of 60 minutes is 30 minutes that why you half £7.90.
You add 118.5 + 3.95 = £122.45
and that your answer
Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin
Answer:
a
Step-by-step explanation:
hope this help mark me brainlist plz
The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
What is mean by Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
The sequence of transformations takes A to its image A'.
Now, We have;
The coordinate of A are (4, 5)
And, The coordinate of A' are (4, - 4)
Hence, The correct sequence of transformations takes A to its image A' is,
⇒ A translation 1 unit down followed by a reflection in the x-axis.
Learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ3
johnathan is rolling 2 dice and needs to roll an 11 to win the game he is playing.what is the probability that johnathan wins the game?
Answer: Hope this helps, I think I did the right math if not I'm sorry
2/6 x 1/6 = 1/18
Step-by-step explanation:
you will have amazing luck if you help me out trust
Answer:
x=29
Step-by-step explanation:
5x+30=175 because they are congruent
5x=145
x=29
The ratio using a colon is
a ratio?
What numbers a provided
5/6 / 1/3 equals what
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Division of Fractions
Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.
Given the fractions:
[tex]\frac{a}{b}[/tex]
[tex]\frac{c}{d}[/tex]
The division:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]
can be done by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]
We are given the fractions 5/6 and 1/3. Their division is:
[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]
Simplifying:
[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]
Answer: [tex]\mathbf{\frac{5}{2}}[/tex]
A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
What’s the answer?
Answer:
6.5
Step-by-step explanation:
Answer:
y≈15840
Step-by-step explanation:
Exponential Functions:
a=starting value = 14000
r=rate = 2.5%=0.025
Exponential Growth:
b=1+r=1+0.025=1.025
Write Exponential Function:
put it all together-
y=14000(1.025)^x
Plug in time for x:
y=14000(1.025) ^5
Evaluate-
y=15839.71498
round-
y≈15840
1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer
Answer:
8%
Step-by-step explanation:
Original Price = 75 cents New Price = 81 cents, % increase = ?
% increase = 81 - 75/75 × 100%
% increase = 6/75 × 100%
% increase = 8% ( Ans)
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?
Answer:
37.7
Step-by-step explanation:
C = 2 pi r
C= πd
12× 22/7
= 264/7
= 37.71cm
Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?
Answer:
8.25 minutes
Step-by-step explanation:
31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles
A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.
How many oranges would be needed to make 60 L of fresh-squeezed juice?
380 oranges
400 oranges
460 oranges
540 oranges
Answer:
Using direct proportion
40L was made from 360 oranges
1 L will have been made from (360/40) oranges = 9 oranges
60L will then be made from : 60 * 9 oranges = 540 oranges.
D.
Step-by-step explanation:
Answer:
D. 540
Step-by-step explanation:
✔
5-4x=23
What's the value of x and please show your work.
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
5-4x=23 |-5
5-4x-5=23-5
-4x=18 |*(-1)
4x=18 | /2
2x=9 |/2
x=9/2 or 4.5
Answer:
x = 4.5
Step-by-step explanation:
Subtract 5 from BOTH sides to start with:
5-5 = 0 (5 cancels out on left side) 23-5 = 18
New Equation: -4x = 18
Divide BOTH sides by -4
4 cancels out (x is left) 18/4 = 4.5
New: x = 4.5
Can someone help me out with this problem?
Answer:
[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]
20 dumplings can be made by Luke.What is the quotient of 2/3 divided by 4
Answer:
Step-by-step explanation:
(2/3)/4=(2/3)*(4/1)=8/3=2 2/3
A pizzeria charges $2 per slice of pizza, plus an additional $0.75 per topping. If
Erica has at most $12.50 to spend on her pizza, how
many toppings could she get
on ONE slice of pizza? Write an inequality expression that represents the
situation and solve! Explain your reasoning (no work, no points)! You can
copy/paste the following symbols as needed: 2s<>
Your answer
Answer:
Maximum amount of toppings is 14 inequality is t <=14
Step-by-step explanation:
let t be the amount of toppings on the pizza
0.75t + 2 <= 12.50
0.75t <= 10.50
t <= 14
Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?
Answer:
28 shirts are sold
7/9 of the shirts are sold
Step-by-step explanation:
hope this helps <3
In a pet store, the small fishbowl holds up to 23
gallons of water. The large fishbowl holds up to 2
times as much water as the small fishbowl.
Eloise draws this model to represent the number of
gallons of water the large fishbowl will hold.
How many gallons of water does the large fishbowl
hold?
Enter your answer as a mixed number in simplost
form by filling in the boxos.
aal
Answer: the large fishbowl hold up to 46 gallons of water
Step-by-step explanation:
Answer: the large fishbowl hold up to 46 gallons of water
Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?
Answer:
12
Step-by-step explanation:
How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction
Answer:
52-40
Step-by-step explanation:
distribute 4 to 13 and 10
put the subtraction sign back in
Find the percent markup. Round to the nearest whole percent. Store's cost: $100.00 Selling price: $160.00
Answer:
im here for the points
Step-by-step explanation:
In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter
Answer:
Jamarcus is the better shooter
Step-by-step explanation:
Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50
Answer:
Tyrell
Step-by-step explanation
Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter
How do you multiply monomials with the same base?
9514 1404 393
Answer:
multiply their coefficients, use the base with the sum of exponents
Step-by-step explanation:
The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.
(a·x^b)(c·x^d) = ac·x^(b+d)
_____
If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.
Example
5x^2 · 7x^3= 5·x·x·7·x·x·x
= 5·7·x·x·x·x·x
= (5·7)(x^(2+3))
= 35x^5
the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet
Answer:
vbhjnkmlnkbjvhcgfdxgcvhbjnncnng
Step-by-step explanation:
cxvcxbvcbcvbvcbcvbvcvbb
Answer:
thanks
Step-by-step explanation:
can someone help me out?
Answer:
y is equal to nine and two thirds, or 9.666...
Step-by-step explanation:
To solve this, we first need to know the value of x. We can see though that x + (x - 12) is equal to 180 degrees, so:
x + 5x - 12 = 180
6x = 192
x = 32
Now that we have x, we can use the same rule to solve for y:
3y - 8 = x
3y - 8 = 32
3y = 40
y = 40 / 3
So y = 40/3, or 9 and 2/3
Bonus:
I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.
If that were the case we'd have:
3y + 8 = 32
3y = 24
y = 8
A nice clean answer
To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.