direct and inverse variation

Direct And Inverse Variation

Answers

Answer 1

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

Which expression is equivalent to 45a+23b+18−76b−34−25a?
65a−12b−58
65a+116b+78
25a−12b−58
25a+116b+78

Answers

45a + 23b + 18 - 76b - 34 - 25a
= (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.

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

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:

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.

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

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].

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 answer

Dividing by 3 is the inverse of multipiying by 3.

Answers

Yes that is indeed correct

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.

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

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

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 seconds

The 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

6 - 3w = -27
I need help on this I don’t get it

Answers

W=11
this picture below explains it

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

96% of the water is still in the tank after 20 minutes.
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%.

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

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]

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

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

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.

Given h(x) = 32
3x – 3, find h(3).

Answers

Answer:

(3×3) - 3 = 6

.

.

.

i didnt get that...wt's that 32?

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

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

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


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

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

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

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.

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

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

Solve.
12.25 = 2.5 =
4.9
4.5
6.5
0.49

Answers

(If this is the correct symbol)
12.25 divided by 2.5= 4.9

Hope this helps

Have a great day/night
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