Answers
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
Related Questions
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answers
Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:
[tex]V = V_{cy}-V_{pr }[/tex] (1)
[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]
[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)
Where:
[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.
[tex]l[/tex] - Side of the square prism, measured in centimeters.
[tex]h[/tex] - Height of the square prism, measured in centimeters.
If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:
[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]
[tex]V \approx 16.690\,cm^{3}[/tex]
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
a wish tank that is full of water has sprung a leak, 12% of the water is lost every hour. what % of water is left in the tank after 20 minutes
Answers
12% is lost every hour but 20 minutes is 1/3 of an hour so you multiply 12 by 1/3 and you get 4% and at the beginning the water tank is full at 100% so you subtract 100%-4%=96%.
Solve 3(−3−3x)+4=−5.
Answers
Answer:
49
Step-by-step explanation:
you need to multiply all them and get 49
Answer:
0
Step-by-step explanation:
3(-3-3x)+4=-5
3(-3-3x)=-9
-9-9x=-9
-9x=0
0/-9=0
Mr. Mancillas want to purchase new reading books for his 21 students.
• Each math book cost $57.35
He paid $13.99 for delivery
What is the total amount Mr. Mancillas paid?
CARTAN
tense
А
$1,194.75
B
$1,204.35
C
$984.99
D
$1,218.34
Answers
Answer:
leter d.
Step-by-step explanation:
cause i solved it
Answer:
Step-by-step explanation: it is B because 21 X $57.35/3.99=1,204.35
The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics. A 4-column table with 3 rows titled time spent by children. The first column has no label with entries at least 1 hour per day outside, less than 1 hour per day outside, total. The second column is labeled at least 1 hour per day using electronics with entries 2, 42, 44. The third column is labeled less than 1 hour per day using electronics with entries 14, 6, 20. The fourth column is labeled total with entries 16, 48, 64. Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics? 0.22 0.25 0.70 0.88
Answers
Answer:
D 0.88
Step-by-step explanation:
The probability that a child spends less than 1 hour per day on electronics is 0.88.
What is probability?
This is a term that has to do with the likelihood or the chances of something occurring.
The total of spending a day outside = 16
The total of spending less than 1 hour on electronics is 14
The probability would be = 14/16
= 0.875 * 100
= 88% or 0.88
Read more on probability here: https://brainly.com/question/14736149
#SPJ2
Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after 30 seconds?
Answers
Answer:
78.75 ?
Step-by-step explanation:
calculator..
The volume of water remain in the tank after 30 seconds is 78.75 liters.
The given parameters;
initial volume of water in Tank B, V₀ = 80 litersrate at which water is being drained, R = 2.5 liters per minute.time of water drain, t = 30 secondsThe amount of water drained after 30 seconds is calculated as follows;
[tex]V_1 =2.5 \ \frac{liters}{\min} \times \frac{1 \min}{60 \ s} \times 30 \ s\\\\V_1 = 1.25 \ liters[/tex]
The volume of water remain in the tank after 30 seconds is calculated as follows;
V₂ = V₀ - V₁
V₂ = 80 liters - 1.25 liters
V₂ = 78.75 liters
Thus, the volume of water remain in the tank after 30 seconds is 78.75 liters.
Learn more here: https://brainly.com/question/13559135
If f ( x ) = 2x - 3 and g ( x ) = x 2,
find g ( f ( x ) )
Select one:
a. 4x 2 - 9
b. 4x 2 - 12x + 9
c. 2x 2 - 3
Answers
Answer:
[tex]g(f(x)) = g(2x - 3) = {(2x - 3)}^{2} \\ =\boxed{4 {x}^{2} - 12x + 9}[/tex]
b. is the right answerGiven h(x) = 32
3x – 3, find h(3).
Answers
Answer:
(3×3) - 3 = 6
.
.
.
i didnt get that...wt's that 32?
PLS help me
this is for class, if you get it right i will give brainliest
Answers
Answer:
Yes
Step-by-step explanation:
a^2+b^2=c^2
7^2+11^2=c^2
49+121=c^2
170=c^2
then square it
c=13
7,11,13 is a pythagorean triple
Answer:
both answers you have put in are correct
Step-by-step explanation:
7^2=49
11^2=121
121+49=170
square root of 170 is the long side
not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)
is it ~13.0384
Which decimal is equivalent to -31/8
Answers
Answer:
-3.875
Step-by-step explanation:
Answer:
-3.875
Step-by-step explanation:
My answer is rounded to the nearest thousandths by the way! Hope I helped.
Amy wants to buy a new set of paints. At store A, the cost is $22.00, and she has a coupon for 20% off. At store B, the cost is $22.50, and she has a coupon for $5 off. Which store has the better buy, and why?
Answers
Answer:
Store B
Step-by-step explanation:
Store A
20% is just 1/5 in percent form
22.00= 22*1/5 = 22/5 = 4.40
22.00-4.40=17.6
Store B
22.50-5=17.5
Now you can see that 17.5 is less than 17.6 by 0.1
While dining at yet another 5 star restaurant, which is my normal, I received the bill for $95.11 which by the way included an automatic 15% p. Because my generosity is my weakness, I wanted to leave a 20% p, instead. How much should I add to the bill to make this happen?
Answers
Answer:
$16.54
Step-by-step explanation:
First step we need to do is to find the bill without the 15% tips:
95.11 = 1.15x
x = $82.70 is the original bill
Now we can add the 20% tips and multiply it into the original:
82.70 x 1.2 = $99.24 is the new bill
To find out how much you tipped:
99.24 - 82.7 = $16.54 is your new tip
Solve.
12.25 = 2.5 =
4.9
4.5
6.5
0.49
Answers
12.25 divided by 2.5= 4.9
Hope this helps
Have a great day/night
Which expression is equivalent to 45a+23b+18−76b−34−25a?
65a−12b−58
65a+116b+78
25a−12b−58
25a+116b+78
Answers
= (Now, we will combine and group the like terms.)
= 45a - 25a + 23b - 76b + 18 - 34
= 20a - 53b - 16.
So, in conclusion, the answer to this question is 20a - 53b - 16 however, none of these answered provided are correct.
Need help with this math question pls help me.
Answers
Answer:
its D
Step-by-step explanation:
You can tell because your trying to find the one that's steeper but you can see that D is pointed a little bit more down than the others
Answer:
It is D because it is the steepest
Step-by-step explanation:
Solve the Equation: 2(6b + 1) = 4(b-5)-2 halp me pls, thank you
Answers
Answer:
B= -3
Step-by-step explanation:
So first distribute what you can
12b+2=4b-20-2
Now combine like terms
12b+2=4b-22
Now subtract 2 on both sides
12b=4b-24
Now subtract 4b on both sides
8b=-24
Now divide 8 on both sides
b= -3
A citrus grower purchased 25 orange trees and 20 grapefruit trees for $290. The next week, at the same prices, the grower bought 20 orange trees and 30 grapefruit trees for $330. Find the cost of an orange tee and the cost of a grapefruit tree.
Answers
Answer:
The cost of an orange tree is $ 6 while that of a grapefruit tree is $
Step-by-step explanation:
Let x be the cost of an orange tree and y be the cost of a grapefruit tree. In the first week, the citrus grower purchased 25 orange trees and 20 grapefruit trees for $290, so 25x + 20y = 290 (1).
In the next week, the grower bought 20 orange trees and 30 grapefruit trees for $330. So, 20x + 30y = 330 (2)
From (2) y = (330 - 20x)/30 = (33 - 2x)/3
substituting y into (1), we have
25x + 20[(33 - 2x)/3] = 290
multiplying through by 3, we have
75x + 20(33 - 2x) = 870
expanding the bracket, we have
75x + 660 - 40x = 870
collecting like terms, we have
75x - 40x = 870 - 660
35x = 210
dividing both sides by 35, we have
x = 210/35
x = 6
substituting x = 6 into y, we have
y = (33 - 2x)/3
= (33 - 2(6))/3
= (33 - 12)/3
= 21/3
= 7
So the cost of an orange tree is $ 6 while that of a grapefruit tree is $ 7.
Please send help ASAP.
Answers
Answer:
d. -4 <= x - 5
Step-by-step explanation:
I think youre asking about question 5.
First replace the x with the -2 in every problem.
Now solve:
a. 6 × -2 < 10
6 times -2 is -12, and -12 is less than -10, so that ones true and not the answer
b. -2 × -2 > -3
-2 times -2 is 4, and 4 is greater than -3, so that ones true and not the answer
c. -2/4 <= 0
-2 divided by 4 is -1/2, and -1/2 is less than 0. so that ones true and not the answer
So obviously the answers d, but we're gonna check anyway
d. -4 <= -2 - 5
-2 minus 5 is -7, and -7 is not less than -4, so its not true and the answer
Ben rides the train to work he spends $2.75 per ride his monthly budget for riding the train is 80$ write an equation that shows the number of times N Ben can ride the train each month
Answers
Answer: 2.75N = 80
Step-by-step explanation:
Let the the number of times that Ben can ride the train each month be represented by N.
Since Ben rides the train to work he spends $2.75 per ride and his monthly budget for riding the train is $80, this will be represented in an equation as:
2.75N = 80
N = 80/2.75
N = 29 times
Find the product.
(-7)(5) =
Answers
Answer:
-35
Step-by-step explanation:
Answer:
-35
Step-by-step explanation:
A negative times a positive is a negative number:
-7*5=-35
It says round all calculations to one decimal point
Pls show workings it due in a hour
Answers
Answer:
[tex]2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}[/tex]
Step-by-step explanation:
The distance between two coordinates is given by:
[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}[/tex], or [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.
The distance between [tex](3, -2)[/tex] and [tex](7, 0)[/tex] is:
[tex]d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}[/tex]
The distance between [tex](3, -2)[/tex] and [tex](5, 5)[/tex] is:
[tex]d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}[/tex]
[tex]d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}[/tex].
Therefore, the total perimeter of the triangle is:
[tex]\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}[/tex].
An object is accelerating at a constant rate from 8.0 m/s to 16.0 m/s in 10.0 seconds. How far in meters does the object travel in 10.0 seconds?
Answers
Step-by-step explanation:
Answer is 120 m
Extremely sorry for delay.
Here is explanation in given attachment
25% of a number is 8.
What is the original number?
Answers
Answer:
B. 32
Step-by-step explanation:
25% is 1/4 of 100%, so you multiply 8 by 4.
13 more than a number Y is -7.
Answers
Answer:
m
Step-by-step explanation:
j
Answer:
-20
Step-by-step explanation
To make the sentence into an equation it would be y+13=(-17). To solve this you would need to get y by itself. To do this, you would make the equation y+13-13 , since you need to do the same thing from both sides, it would be y+13-13=(-17)-13 . Simplify the equation to make y=(-7)-13 . Counting back 13 from -7 gets you to -20 . Finally you get to y=(-20) , so the answer is -20
Can someone please help me get this answer correct?
Answers
Answer:
I'm pretty sure that would be a rectangle
Step-by-step explanation:
I just graphed it
Dividing by 3 is the inverse of multipiying by 3.
Answers
Yes that is indeed correct
is (-2+x)-(3x-8) equivalent to -2x+4
Answers
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true.
Brainly pls?
Answer:
No, it's not equivalent to it.
Step-by-step explanation:
[tex]( - 2 + x) - (3x - 8) = - 2 + x - 3x + 8 \\ = 6 - 2x = - 2x + 6[/tex]
6 - 3w = -27
I need help on this I don’t get it
Answers
this picture below explains it
You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?
Answers
Answer: Atleast 7
Step-by-step explanation:
In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.
the answer is 7
Step-by-step explanation:
7×10=70-60=10
Simplify -3x^2-5x^2(4x^3-x^2)2
Answers
Let's simplify step-by-step.
−3x2−5x2(4x3−x2)(2)
Distribute:
=−3x2+−40x5+10x4
Answer:
=−40x5+10x4−3x2