Mathematics High School

(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с​

Answers

Answer 1

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

[tex]\frac{600}{18}[/tex] = k

[tex]\frac{100}{3}[/tex] = k

c = [tex]\frac{100a}{3b}[/tex] ← equation of variation

When a = 36 and b = 25 , then

c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48

Related Questions

What is the perimeter of PQR? Show your work.​

Answers

Perimeter of triangle x 5/3 to get a answer which should be 75

Helpppppppppppp 70,000x379=????

Answers

Answer:

26,530,000

Step-by-step explanation:

this is quite easy, first you can write this question differently

Just view this problem as 7 x 379 which is 2653, now count how many zeros 70,000 has, which is 4 and add it to the answer 2653, which will give you 26,530,000

The multiplication or products of 70,000 and 379 is 26,530,000

How to multiply or find the product of values

Given:

70,000 × 379

= 26,530,000

Where from the left,

0 = unit position0 = Ten position0 = Hundred position0 = Thousand position3 = Ten thousand position5= Hundred thousand position6 = Million position2 = Ten million position.

In words, 26,530,000 is written as twenty six million, five hundred and thirty thousand.

Learn more about multiplication;

https://brainly.com/question/10873737

(4,1),(8,2) in slope intercept form

Answers

Answer

y=1/4x

Step-by-step explanation:

2-1/8-4=1/4

Choose either of these points ( I will use 4,1 becuase it's easier)

1=1/4(4)=b

1=1+b

0=b

y=1/4x (you don't put the zero)

Solve the system by elimination

3x-2y=3
15x-4y=-3

Answers

Answer:

x=-1

y=-3

Step-by-step explanation:

3x-2y=3(1)

5.(1) <=> 15x-10y=15 (2)

15x-4y=-3 (3)

(2)-(3) <=> -6y=18

Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.​

Answers

Answer:

p varies inversely with t⁴

Step-by-step explanation:

Direct variation:

y = kx, where k is constant

Inverse variation:

y = k/x, where k is constant

Given:

p = kq   (1)

and

√q = k/t²    (2)

From the first equation we can see:

kq = p ⇒ q = (1/k)p ⇒ q = np, where n is a constant

It means if p varies directly as q, then q directly varies as p.

Square the second equation:

q = k²/t⁴ = m / t⁴, where m is constant

Since p varies directly as q and q varies inversely with t⁴, we can state p varies inversely with t⁴.

What is the base of 5^4?

Answers

Answer:

5 is the base

4 is the exponent

Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to use on his farm for $4,000. He plans to pay off the total price of the tractor over time by paying $200 a month from a separate account. How much will Bo have in his savings at the time he pays off the tractor in full? A. $3,500 B. $3,000 C. $2,150 D. $2,000.

Answers

Answer:

D. $2,000

Step-by-step explanation:

Found this answer somewhere and it made sense so I hope its correct :D

Answer:

it is 3500 You take 4000 divide by 200 which is 20 months then take 150 times 20 equals 3000 then add 500

Step-by-step explanation:


Paul had 70 fliers to post around town. Last week, he posted 1/5 of them. This week, he posted 5/7
of the remaining fliers. How many fllers has he still not
posted

Answers

Answer:

Paul has not yet posted 6 fliers.

Step-by-step explanation:

How many did he post last week?  (1/5)(70) = 14

This week?  (5/7)(70) = 50

Already posted:  14 + 50 = 64

Not yet posted:  70 - 64 = 6

What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36

Answers

Answer:

D. 26

Step-by-step explanation:

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╲┃╮┃┃╭╮┃┃╭╮┃┃╲╲

╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲

╲┃◯┃╭╮╰╯┏━━━┳╯╲

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Brainliest?

Points A,B,C are collinear. explain what is wrong with this picture. Use the linear pair theorem in your explanation

Answers

Answer:

hey can u help me with my work i posted i promise ill help u back

Pls answer i need help asap lol, No links (30 points + brainly)
How long will it take each student plan to be paid down to $1000?

Answers

The corresponding answers for each student plan are:

plan A: 15 years

plan B: 5 years

plan C: 10 years

plan D: 9 years

Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.

Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.

The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is: ​

Answers

Step-by-step explanation:

2079 / 297 = 7

that is the first indication about what we need.

but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.

297 = 27×11

therefore,

2079 = 27×11×7

and the other number must now be

27×7 = 189

because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.

there are only 2 other factors available in 2079 : 11 and 7.

297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.

hence the solution.

the other number is 189

and the other number must then be 27×7 = 189

which item below weighs more

Answers

Step-by-step explanation:

Rice = 5¾ kg = 23/4kg = 23/4*1000 g = 5750g

Flour = 5725g

Rice > flour

Answer:

lol its rice

Step-by-step explanation:

how to evaluate 3-(-10)​

Answers

Answer:it's 13

please let me know if this is wrong

Answer:

Answer:

i am uncertain by the question

Step-by-step explanation:

10-3=7

10/3=3.333...

Answer:

the answer is "what are you doing step

bro"

find the slope of the line through these pair of points. (17, –6), (–11, 7)​

Answers

☆Answer : (X1, Y1) = (17, -6) (X2, Y2) = (-11, 7)

m = (Y2 - Y1)/(X2 - X1)

m = (7 - (-6))/(-11 - 17)

m = (7 + 6)/(-28)

m = 13/(-28) = -(13/28)

Does anybody like anime ??

Answers

of course bro why wouldn’t we like anime

Like PLS HELP
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choice
x+y=5

x^2+y=11

(-2,7)

(7,2)

(3,2)

(2,3)

(5,0)

Answers

Answer:

2,3 bro bro and also my leg

Airline fares are $200 for first class and $150 for business class. If a flight had
52 passengers who paid a total of $8500. How many first class passengers.
we’re on the trip?

Answers

Answer:

14 first class passengers

Step-by-step explanation:

Set a system of equations as below:

x + y = 52200x + 150y = 8500

Multiply the first equation by 150 and subtract from the second equation.

This will eliminate y, solve for x:

200x + 150y - 150x - 150y = 8500 - 150*5250x = 700x = 700/50x = 14

if [tex]a_{1}[/tex]=10 and [tex]a_{n}[/tex]=[tex]2a_{n-1}[/tex] then find the value of [tex]a_{5}[/tex]

Answers

Answer:

a₅ = 160

Step-by-step explanation:

Using the recursive rule and a₁ = 10 , then

a₂ = 2a₁ = 2 × 10 = 20

a₃ = 2a₂ = 2 × 20 = 40

a₄ = 2a₃ = 2 × 40 = 80

a₅ = 2a₄ = 2 × 80 = 160

Is 10x-4 proportional

Answers

Answer:

No

Step-by-step explanation:

10x - 4

x = 2/5

Since there is no other equation or expression to set 10x - 4 equal to, it cannot be proportional.

What is the y-coordinate of the y-intercept of function d(x) ? y=-8(X-(5/2) (X+3)

Answers

Answer:

(0,60)

Step-by-step explanation:

I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)

Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number of teachers?

Write your answer as two numbers separated by a colon (for example, 2:3).

Answers

Answer:

10:32

Step-by-step explanation:

32-22=10 male teachers

Given: F(x)= 5 x - 6 and G(x)= x - 4
(FoG)^-1=

Answers

By definition of inverse function,

[tex]F\left(F^{-1}(x)\right) = x[/tex]

so that

[tex]5F^{-1}(x) - 6 = x[/tex]

[tex]5F^{-1}(x) = x + 6[/tex]

[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]

Similarly,

[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]

Then the inverse of the composition [tex]F\circ G[/tex] is such that

[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]

By definition of composition,

[tex](F\circ G)(x) = F(G(x))[/tex]

Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]

So, we find

[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]

What is the height of the flagpole?

Answers

Right angle: a^2 + b^2 = c^2
c = longest side which is 26
a = 10
Now plug it in to find b
10^2 + b^2 = 26^2
100 + b^2 = 676
b^2 = 576
b = squareroot of 576 = 24

Solution: 24

Jamie went on a vacation with his family. He spent 32.25% of the total cost on the airline tickets, of the total cost on hotels, and 12.75% of the total cost on food. If he spent of the remaining amount on shopping, what percentage of the total cost was spent on shopping?

Answers

Answer:

In my opinion he spent 55%

help its do in 15 mins ​

Answers

Answer:

Step-by-step explanation: its 7

A bread recipe uses 3 tablespoons of olive oil for every 1 clove of crushed garlic. Complete this table to show different-sized batches of bread that tastes the same as the recipe. number of batches olive oil (tablespoons) crushed garlic (cloves) 1 3 1 2
Question Blank
type your answer...
2 0.5 1.5
type your answer...
4
type your answer...
4

Answers

Answer:

What? I don't understand your question.

Step-by-step explanation:

just no just n oh yeah btw shoot some

Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?

Answers

Answer:

7 students had Snickers

Step-by-step explanation:

Nestle Crunches - nSnickers - s

System of equations according to given:

30n + 50s = 680     (converted $6.80 into 680¢)n = s + 4

Substitute n into first equation and solve for s:

30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7

Nestle crunches be xSnickers be y

Equations are

0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]

EQUATION(2)× 30

[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]

Subtracting (1) and (3)

[tex]\\ \sf\longmapsto 80y=560[/tex]

[tex]\\ \sf\longmapsto y=7[/tex]

how many times can 14 go into 97

Answers

Answer:

6 time

Step-by-step explanation:

97÷14=6•928

=6 or round it up to 7

Answer:

6

Step-by-step explanation:

97÷14=6.928

6 or round it up to 7

Please help, this is timed :))

Answers

This is the right answer

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