Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer and Step-by-step explanation: Let \displaystyle xx be the amount Peter picked. Then Mary and Lucy picked \displaystyle 2x2x and \displaystyle x+2x+2, respectively. So
\displaystyle x+2x+x+2=26x+2x+x+2=26
\displaystyle 4x=244x=24
\displaystyle x=6x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
Peter picked 6 kilograms of chestnuts.
Mary picked 12 kilograms of chestnuts.
Lucy picked 8 kilograms of chestnuts.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Let Peter pick x kilograms of chestnuts.
Given that Mary picked twice as many chestnuts as Peter
So, Mary picks 2x kilograms of chestnuts.
And Lucy picks x + 2 kilograms of chestnuts
Together the three of them picked 26 kg of chestnuts
So, x + 2x + x + 2 = 26
4x + 2= 26
4x= 26-2
4x= 24
4x/4= 24/4
x= 6
Thus, Peter picked 6 kilograms of chestnuts.
⇒ 2x
⇒ 2 (6)
⇒ 12
Thus, Mary picked 12 kilograms of chestnuts.
⇒ x + 2
⇒ 6 + 2
⇒ 8
Thus, Lucy picked 8 kilograms of chestnuts.
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Help please I would appreciate it please thanks
Answer:
the roots are 5 and 1/2
Step-by-step explanation:
a = 2
b = -11
c = 5
Plug values into formula: (-b ± √b² - 4ac) ÷ 2a
the discriminant comes out to be √81
(11 + 9) / 4 = 5
(11 - 9) / 4 = 1/2
carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation:
please help meeeeeeright now
The answer is 4 pairs.
Think of having x number of pairs, and $4.29x for the price of those pairs. 8.58 is standalone, so we focus on writing the equation:
[tex]8.58+4.29x=25.74\\4.29x=25.74-8.58\\4.29x=17.16\\\frac{4.29}{4.29}=\frac{17.16}{4.29} (division)\\x=4[/tex]
Y is inversely proportional to x; when Y = 12, x = 4. The value of x is 8 when Y =
Answer:
Y=24
Step-by-step explanation:
x=4 when y=12
X=1 when y= 3
3 times 8=24
X=8 when y=24
Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?
A. 19
B. 11
C. 9
D. 6
Answer:
D. 6
Step-by-step explanation:
3 pens cost $2.70.
What is the cost per pen?
Answer:
$0.90
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
Assuming there are no taxes or additional costs, one simply has to divide the total cost by the amount purchased to find the unit price, hence;
2.7 / 3
= 0.9
Help please extra points
Answer:
The answer to the question provided is letter c.
what is the solution to the inequality 1/4(3x-6) >2(7-x +1
Answer:
x>70/11
Step-by-step explanation:
2^5/4 = 2^5/2^a= 2^b = c
What is
a=
b=
c=
Eric is a statistician-Viking. He walks into a tavern and makes three statements about the continuity correction. Which are true?
I. You can find single probabilities (such as x - 4) using the normal approximation to the binomial. Do this by finding the probability for the range from.5 below to .5 above the number. (For x 4 you'd find 3.5x 4.5.)
Il. Using the normal approximation, x 4 is the same as x4. Using the exact binomial, x <4 is not the same as x - 4
IlI. The continuity correction removes some of the error introduced when modeling a discrete distribution with a continuous one. The correction increases accuracy by acting as though a number occupies the interval from.5 below it to.5 above it.
A. I only
B. Il only
C. Ill ony
D. I and lll
E. I, I, and III
Answer:
E. I, II and III
Step-by-step explanation:
Continuity correction is a theory in which addition or subtraction is made with the discrete variables. Continuity variable helps to find the single probabilities of the function and it removes some errors that are found in the modelling of discrete distribution.
You buy 4 Chicken Burritos that each cost the same amount and a Coca Cola all
for $21.00. You know the Coca Cola costs $2.00. How much does each Burrito
cost?
Answer: $9.50
Step-by-step explanation: $21-2=$19; $19÷2=$9.50
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of
$500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
O x = 8, y = 45
O x = 10, y = 22
O x= 16, y = 22
O x = 18, y = 18
Answer:
Step-by-step explanation:
he is right i got a 100 in the test
The number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
New-release movies on DVD for $20 and classic movies on DVD for $8
x - the number of new releases,
y - he number of classics.
20x + 8y = 500
or
5x + 2y = 125
Using trial and error method:
Plug x = 16 and y = 22
5(16) + 2(22) = 125
= 80 + 44
= 124
Nearest to 125
Thus, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
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PLEASE HELP ME PLEASEEEEEEEEEEEEEE
Which of the following fractions is the largest 2/3 1/2
Answer: 2/3
Step-by-step explanation:
2/3 = 4/61/2 = 3/64/6 is greater than 3/6A drinks bottling production line has a relative frequency failure rate of 0.0045 If 2,000,000 bottles of pop are produced per day, how many of them will be faulty?
Answer:
9,000
Step-by-step explanation:
2,000,000 times 0.0045 = 9,000
Bradley owe's his parents $275. Every week, Bradley pays his parents back $55. Which function represents the
amount of money Bradley still owes his parents?
Answer:
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Step-by-step explanation:
Given that:
Amount Bradley owes = $275
Amount Bradley pays each week = $55
Let,
x be the number of weeks.
We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;
f(x) = 275 - 55x
Hence,
The function f(x) = 275-55x represents the amount of money Bradley still owes.
PLEASE HELP WITH THIS I NEED TO PASS
Answer:
x = 0.1875
Step-by-step explanation:
first, you group up all of the same numbers or letters. (2x +2x)
then you solve the problem:
2x ^2 = 2x - 3
4x^2 = -3
16x = 3
16 16
x = 0.1875
?????????????????????
Answer:
f(9) = 61
Step-by-step explanation:
You know f(x) = 8x - 11. So, to find f(9), you have to replace x with 9 on the other side.
f(9) = 8(9) - 11
You can solve this.
f(9) = 72 - 11
f(9) = 61
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.Pls help extra points and mark brainlist
Answer:
Freetime!
Step-by-step explanation:
Leisure means happy place or a free space or in this case "Freetime"!
SOMEONE PLS HELP!! QUICKLY!!
9514 1404 393
Answer:
x = 2
NK = 16
Step-by-step explanation:
The Pythagorean theorem can be used to find LN:
LN² +LC² = NC²
LN² = NC² -LC² = 65^2 -63^2 = 256
LN = √256 = 16
LN = NK = 16 . . . . each of NM, LN, NK is the inradius, so they are congruent
__
LN = NM = 8x = 16
x = 2
Justin did push-ups every weekday this week.
He did 8 push-ups on Monday, 14 push-ups
on Tuesday, 18 push-ups on Wednesday, 6
push-ups on Thursday, and 8 push-ups on
Friday,
Find the mean number of push-ups.
Answer:
10.8
Step-by-step explanation:
8+14+18+6+8=54
54/5=10.8
Answer:
18
Step-by-step explanation:
The maximum number of push-ups that Justin did in a day this week was 18.
I also literally just did it
So I don't know why the guy above me has it correct, I mean someone said tysm so I guess he's correct ;/
Can someone please help me
Answer:
12:15
3 goes into both of these numbers so then becomes
4:5
cannot be reduced any further
answer
4:5
Please answer it due tonight
The amount Alex eamed last week can be modeled by the expression 25 + 5n 295, where is the number of items he sold. Which number line shows how many items he could have sold last week?
10 11 12 13 14 15 16 17 18 19 20
10 11 12 13 14 15 16 17 18 19 20
+
19 20 21 22 23 24 25 26 27 28 29
19 20 21 22 23 24 25 26 27 28 29
Answer:
Step-by-step explanation:
PLS HELP ASAP THIS IS DUE TODAY SOON I NEED ANSWERS FOR BOTH THE PROBLEMS CAN U WORK THEM OUT FOR ME PLS
the prime factorization of 140 is 2^2 x 5 x 7
the prime factorization of 80 is 2^3 x 5 x 2
write an inequality for the following, more than 2,500 people can attend the convention
Answer:
a
Step-by-step explanation:
Please help quickly, if someone answers quickly I'll give them Brainly.
Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of 'a' and 'b'? Round round to the nearest tenth if necessary.
Item-
Picture frames
Approximate value-
99
Exact value-
88
Error-
Blank
Absolute error-
Blank
Ratio-
a
percent error-
b
Possible answers:
1. a= 11/99; b= 11.1%
2. a= 11/88; b= 12.5%
3. a= 88/99; b= 88/99%
4. a= 11/11; b= 100%
Step-by-step explanation:
Ratio
= Difference between Prediction and Actual / Prediction
= (99 - 88)/99 = 11/99.
Percentage Error
= Difference between Prediction and Actual * 100%
= (99 - 88) * 100% = 11.1%. (1)
The ratio (a) & percent error (b) will be option A which is a=11/99 and b= 11.11% respectively
Ratio and Percent errorRatio can be defined as difference between approximate value and exact value divided by approximate value.Percent error is ratio multiplied by 100How to solve this problem?Given
Approximate value = 99 frames
Exact value = 88 frames
Ratio (a) = (Approximate value - Exact value) / Approximate value∴ Ratio (a) = (99-88)/99
∴ a = 11/99
Ratio (a) x 100∴ Percent error (b) = (11/99) x 100
∴ b = 11.11%
So, the answer of ratio (a) & percent error (b) will be 11/99 and 11.11% respectively
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A company's international marketing group asked the following question to residents of 50 countries: "What has been your experience with American products?" 1) Below Average 2) Average 3) Above Average 4) Good to Excellent
Answer:
4) Good to Excellent