Answer:
Let us consider that ,
The worker can complete the work in x hours .
So, he can complete 1/x part of work in 1 hour.
Now, The workers does 2/3 of what he does. So they do 2/3(1/x) part of work in 1 hour . 2/3x work in 1 hour .
Consider them all working together,
So work done in one hour, = 1/x + 2/3x + 2/3x = 3 + 4 / 3x = 7/3x .
So, They taken 1 hour to complete 7/3th part of work. So, In 3x/7 hours , They all can complete the work.
Ratio of the time taken by all instead of only one = 3x/7 : x = 3/7 .
So ,The required option is 3/7
Hope my answer helped you!
Step-by-step explanation:
57 ÷ (9 + 3) – 8
who knows the anwser
you are to create an open box from a single piece of cardboard. The cardboard is 10 inches by 12 inches. You are to cut out equal corners from each side of the box. Construct an equation for the volume of the box. What is the volume of the box if the piece you cut from the corner is 2 inches?
Check the picture below.
what if x = 2?
[tex]V=(2)[10-2(2)][12-2(2)]\implies V=2(6)(8)\implies V=96[/tex]
Eddie bought a book of sports stories. It was 25% off the original price of $15. How much did he pay?
Answer:
11.5
Step-by-step explanation:
basically just take 25% off of 15!! hope this helps!!
write the number 66,190,000 using the number word "million" and then round to one decimal place
Answer:
66,190,000 = 66.19 million
round to 66.2 million
Step-by-step explanation:
NEED KOPO ASAP
1. What is the equivalent statement of a converse?
A. Conditional
B. Inverse
C. Conclusion
D. Contrapositive
Answer:
the answer is B.Inverse
simplify please help
Answer:
4√10xy/32y is the answer. (I think)
Please help with question 9
Answer:
y=x + 6
Step-by-step explanation:
yeah-ya........ right?
What fraction should be added with -4/9 to get 6/17 ?
(A) 104/163 (B) 136/151 (C) 122/153
Answer:
(C) 122/153
Step-by-step explanation:
Let x be the required fraction.
(-4/9) + x = 6/17
Add both sides by 4/9
x = (6/17) + (4/9)
= (54 + 68)/153
= 122/153
Answer:
x = 122/153Step-by-step explanation:
Let's create an equation to solve for the variable x. Then, isolate the x by adding 4/9 to both sides. Lastly, simplify and solve for the x variable.
-4/9 + x = 6/17=> 4/9 - 4/9 + x = 6/17 + 4/9=> x = 6/17 + 4/9=> x = 6(9)/17(9) + 4(17)/9(17)=> x = 54/153 + 68/153=> x = 122/153Looking at all the options, Option C is matching with our result.
Hence, Option C is correct.
Evaluate each expression.
8/7 + 4/7
Answer:
1 4/7
Step-by-step explanation:
8/7 + 4/7 = 12/7. Simplified = 1 4/7
Answer:
1 5/7
Step-by-step explanation:
8+4=12
7 goes into 12 one time.
1 5/7
Need some help pleas
Answer:
80%
Step-by-step explanation:
If you divide 52 by 65 you will get a decimal, then multiply by 100% to get the equivalent.
52/65 = 0.8
0.8 x 100 = 80%
solve for x to the nearest tenth
I WILL MARK BRAINLIEST.
What is the fraction 7, 14 simplest form
Answer:
1 is to 2 is the answer. U.got that
A certain tree was 5 1/3 feet tall when it was first planted. A few years later, the tree is 4 times as tall as it was when it was first planted. How much has the tree grown since it was first planted?
Answer:
21 1/3 ft.
Step-by-step explanation:
5 1/3= original height
4 times the growth
5 1/3 times 4=
Answer: 21 1/3 ft. tall
I need help with this question
How could the partial strategy be applied to 2 digit by 2 digit multiplication problem?
The partial product method involves multiplying each digit of one number in turn with each digit of another where each digit keeps its place. (So the 2 in 23 would actually be 20.) For example, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).
➥ I hope I have been of great help, greetings! Atte: ღTheGirlSadღIn two or more complete sentences, describe the transformation(s) that take place on the parent function f(x) = 3x to obtain the graph of f(x) = 3-x + 1 + 5.
Economists assume people behave rationally, which means that people
A.
always understand the consequences of their decisions.
B.
do not intentionally make decisions that make themselves worse off.
C.
never make a mistake.
D.
have the necessary information to always make correct decisions.
Answer:the answer is D
Step-by-step explanation:
it means to that they stay calmly to things
Simplify the following math expression: 5+4(6-3)+4/2
Answer:
29
you have to solve the brackets first(6-3=3)
Then solve the division (4/2=2)
lastly the addition (5+4=9)
so we have 9×3=27
27+2=29.
Answer:
28
Step-by-step explanation:
math is not that hard just try a littile bit you will be good
a teacher gives a 10-point to a class of 10 children.
a. is it possible for 9 of the 10 to score above average on the test? if so, give an example to show how. if not, explain why not.
b. is it possible for all 10 of the children to score above average on the test? if so, give example to show how. if not, explain why not.
Please help!!
Given what we know, we can say that it is possible for 9 out of 10 students to score above average, but it is not possible for all 10 to score above average.
How do we calculate an average score?In order to calculate the average score of the students, we must use addition.
We have to add all of the scores, in this case, 10 scores, and then divide by the number of scores.
One example of 9 out of 10 students scoring above average would be:
[tex]1 + 9 +9+9+9+9+9+9+9+9 = 82[/tex]
[tex]82/10 scores = 8.2[/tex]
This would leave us with an average score of 8.2 and 9 out of 10 students that have scored higher.
Given the way in which we calculate average scores, it is impossible for all 10 students to score above average since even if all 10 students get a perfect score, that would then become the average.
To learn more about average calculations visit:
https://brainly.com/question/18554478?referrer=searchResults
Write the number for fourteen million two hundred thousand ?
Answer:
14,200,000
Step-by-step explanation:
Answer:
There are 1,365 souvenir paperweights that need to be packed in boxes. Each box will hold 14 paperweights. How many boxes will be needed?
boxes will be needed to hold all the souvenir paperweights.
Step-by-step explanation:
Find the equation of the line with slope = 2/3 through (3, 4).
please show work!
Answer:17/12
Step-by-step explanation: 2/3 + 3/4 = 2 · 4/3 · 4+ 3 · 3/4 · 3= 8/19+ 9/12 =8+9/12= 17/12
Question 1
Jake's credit application has been declined because of his negative credit history.
Which statement is most likely to be true?
O Jake has received 3 traffic tickets in the past 2 months.
O Jake pays his bills consistently and on time.
Jake holds 2 store credit cards, a bank credit card, a car loan, and a mortgage.
Jake has applied for 4 credit cards and a car loan in the past six weeks.
Answer:
Jake holds 2store credit cards a bank credit card a car loan and a mortgage
If a is 5, b is 4, and c is 3, them ab-bc is
Answer:
I believe the answer is 8
Step-by-step explanation:
5*4=20
4*3=12
20-12=8
Answer:
AB would be 9 and BC would be 7
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!
Answer:
[tex] \sqrt{2} \: \: \: \: \: \: \frac{ \pi}{2} \: \: \: \: are \: \: \: \: the \: \: \: \: answers[/tex]
The first four terms of an arithmetic sequence are: a, a + d, a + 2d, a + 3d. The first
four terms of another sequence are: A, Ar, Ar2, Ar3, where r 6= 1. The eight terms
satisfy:
a + A = 27 (1)
(a + d) + (Ar) = 27 (2)
(a + 2d) + (Ar2) = 39 (3)
(a + 3d) + (Ar3) = 87 (4)
By using the substitution a = 27 − A, or otherwise, find the all eight terms
The first eight terms of the sequence are 27, 27, 39, 87, 117.378, 147.755, 178.132 and 208.509.
Determination of a given set of successive values of a sequence
By (1) we have that [tex]a = 27 - A[/tex], and we simplify the system of equations as follows:
[tex](27-A)+d + A\cdot r = 27[/tex]
[tex]d + (r-1)\cdot A = 0[/tex] (2b)
[tex](27-A) +2\cdot d + A\cdot r^{2} = 39[/tex]
[tex]2\cdot d + (r^{2}-1)\cdot A = 12[/tex] (3b)
[tex](27-A) +3\cdot d + A\cdot r^{3} = 87[/tex]
[tex]3\cdot d + (r^{3}-1)\cdot A = 60[/tex] (4b)
By (2b), we simplify the system of equations once again:
[tex]2\cdot (1-r)\cdot A+(r^{2}-1)\cdot A = 12[/tex]
[tex][2\cdot (1-r)+(r^{2}-1)]\cdot A = 12[/tex] (3c)
[tex]3\cdot (1-r)\cdot A + (r^{3}-1)\cdot A = 60[/tex]
[tex][3\cdot (1-r) + (r^{3}-1)]\cdot A = 60[/tex] (4c)
And by equalising (3c) and (4c) we have an expression in terms of [tex]r[/tex]:
[tex]\frac{12}{[2\cdot (1-r)+(r^{2}-1)]} = \frac{60}{[3\cdot (1-r)+(r^{3}-1)]}[/tex]
[tex]12\cdot [3\cdot (1-r)+(r^{3}-1)] = 60\cdot [2\cdot (1-r) + (r^{2}-1)][/tex]
[tex]36\cdot (1-r) +12\cdot (r^{3}-1) = 120\cdot (1-r)+60\cdot (r^{2}-1)[/tex]
[tex]84\cdot (1-r) +60\cdot (r^{2}-1)-12\cdot (r^{3}-1) = 0[/tex]
[tex]84-84\cdot r +60\cdot r^{2}-60-12\cdot r^{3}-12 = 0[/tex]
[tex]-12\cdot r^{3}+60\cdot r^{2}-84\cdot r +2 = 0[/tex] (5)
The roots of this third order polynomial are: [tex]r_{1} \approx 0.0242[/tex], [tex]r_{2} = 2.488 + i\,0.831[/tex] and [tex]r_{3} \approx 2.488-i\,0.831[/tex]. Since [tex]r[/tex] must be a real number, then [tex]r \approx 0.0242[/tex].
By (4c) we have the value of [tex]A[/tex]:
[tex]A = \frac{60}{3\cdot (1-0.0242)+(0.0242^{3}-1)}[/tex]
[tex]A \approx 31.130[/tex]
By (2b) we find the value of [tex]d[/tex]:
[tex]d = (1-0.0242)\cdot 31.130[/tex]
[tex]d = 30.377[/tex]
And by (1) we find the value of [tex]a[/tex]:
[tex]a = 27-A[/tex]
[tex]a = 27-31.130[/tex]
[tex]a = -4.13[/tex]
The first eight terms are calculated below:
[tex]n_{1} = 27[/tex]
[tex]n_{2} = 27[/tex]
[tex]n_{3} = 39[/tex]
[tex]n_{4} = 87[/tex]
[tex]n_{5} = [-4.13 + 4\cdot (30.377)]+(31.130)\cdot (0.0242)^{4} = 117.378[/tex]
[tex]n_{6} = [-4.13+5\cdot (30.377)+(31.130)\cdot (0.0242)^{5}] = 147.755[/tex]
[tex]n_{7} = [-4.13+6\cdot (30.377)\cdot (31.130)\cdot (0.0242)^{6}] = 178.132[/tex]
[tex]n_{8} = [-4.13+7\cdot (30.377)\cdot (31.130)\cdot (0.0242)^{7}] = 208.509[/tex]
The first eight terms of the sequence are 27, 27, 39, 87, 117.378, 147.755, 178.132 and 208.509. [tex]\blacksquare[/tex]
RemarkThe statement present typing mistakes and is poorly formatted. Correct form is shown below:
The first four terms of an arithmetic sequence are: [tex]a[/tex], [tex]a + d[/tex], [tex]a + 2\cdot d[/tex], [tex]a + 3d[/tex]. The first four terms of another sequence are: [tex]A[/tex], [tex]A\cdot r[/tex], [tex]A\cdot r^{2}[/tex], [tex]A\cdot r^{3}[/tex]. The eight terms satisfy:
[tex]a + A = 27[/tex] (1)
[tex](a+d)+A\cdot r = 27[/tex] (2)
[tex](a + 2\cdot d) + A\cdot r^{2} = 39[/tex] (3)
[tex](a + 3\cdot d) + A\cdot r^{3} = 87[/tex] (4)
By using the substitution [tex]a = 27-A[/tex], or otherwise, find the all eight terms.
To learn more on sequences, we kindly invite to check this verified question: https://brainly.com/question/21961097
If x and y are real numbers then y(x + y) + x(x - y) simplifies to..........?
1/4c - 1 + 1/4c ≥ 3
Answer please
Answer:
c ≥ 8
Step-by-step explanation:
1/4c − 1 + 1/4c ≥ 3
Step 1: Add 1/4 to 1/4, since they are on the same side of the equation
1/4 + 1/4c - 1 ≥ 3
1/4 + 1/4 = 1 + 1 / 4
= 2/4
= 1/2
Step 2: Put together the equation
1/2c - 1 ≥ 3
Step 3: Add 1 to both sides.
1/2c − 1 + 1 ≥ 3 + 1
1/2c ≥ 4
Step 4: Multiply both sides by 2.
2 × 1/2c ≥ 2 × 4
c ≥ 8
The actual length of a table is 45 1/2 inches. Harriet estimates the length of the table and finds her percent to be less than 4% What range of values represents Hamel's estimated length Enter your answers as decimals or mixed numbers in simplest form by filling in the boxes Harriet's estimated length is between inches and inches
Answer:
43.68 in and 47.32 inStep-by-step explanation:
The actual length is 45 1/2 and the estimate is within 4% of error range.
The lower range is:
45 1/2 - 4% = 91/2 - 4% = 91/2*96/100 = 91*48/100 = 43.68The higher range is:
45 1/2 + 4% = 91/2 + 4% = 91/2*104/100 = 91*47/100 =47.32So the range is between:
43.68 in and 47.32 inWhich of these expressions is equivalent to z + 2 + 2 + z?
4 + z
A
B
4 +24
с
42
o o
424
Answer:
4z
Step-by-step explanation:
Simply add z + z + z + z , which is equal to 4 x z
Please show me how to solve the problem
Answer:
(3x+1)
Step-by-step explanation:
So i start by the little 2 and then the 3 and then 19x +6
