A quantity m varies jointly with p and r. If m is 1, p is 2, and r is 4. What is the constant of variation?1/8
1/2
2
8

Answers

Answer 1

Answer: m vaires jointly as with p and r
m=kpr
m=1
p=2
r=4
sub
1=k*2*4
1=k*8
divide both sides by 8
1/8=k

answer is contatnt is 8

Answer 2

Answer:

Answer:

A) 1/8

Step-by-step explanation:

Given:

A quantity "m" varies jointly with "p" and "r".

Now we have to form the equation.

m = kpr, where "k" is the constant.

Now we have to plug in the given values; m =1, p = 2 and r = 4 and find the value of k.

1 = k.2.4

1 = 8k

Divide both sides by 8, we get

8k/8 = 1/8

k = 1/8.

Related Questions

2 <×<4 and 6x-(4-×)<17
A contractor has 48 meters of fencing to use as the perimeter of a rectangular garden. The length of one side of the garden is represented by x, and the area of the garden is 108 square meters. Determine, algebraically, the dimensions of the garden in meters
Is (2,4) a solution of the equation y=x-2
1. How can you use an equation to make a prediction from a pattern? 2. Pizza costs $1.50 per slice. Use a table and an equation to represent the relationship between the number of slices of pizza bought and the total cost.
Over two summers, Ray saved $900 and $500. The polynomial 900x2 + 500x represents his savings at the beginning of the third year, where x is the growth factor. (The interest rate r is x - 1.) What is the interest rate he needs to start the third year with $1600 in savings? A. 0.1% B. 1.1% C. 8.4% D. 264%

5. If you earn $8 per hour after taxes are taken out of your paycheck and your insurance is $200 a month, how many hours will you have to work to pay for insurance?

Answers

so 8 times x hours=200
8x=200
divide both sides by 8
x=200/8
x=100/4
x=25
you have to work 25 hours

200÷8= 25
If you earn $8 per hour after taxes are taken out of your paycheck and your insurance is $200 a month, you would have to work 25 hours would have to be worked to pay for insurance.

The sum of two consecutive odd integers is 236. What is the smaller integer? A.115
B.117
C.119
D.113

Answers

HEY there,

236/2=117

117 enn odd number

117+117=236

1,3,7 are odd number so

hope this helped you

Plz mark brainliest if you want (;

The answer is 117. Hope this helps and good job :)

A box has 6 beads of the same size, but all are different colors. Tania draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again?1/216

1/36

1/6

1/2

Answers

The probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again is 1/216.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm{Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

As it is given that the box has 6 beads of the same size, but all are different colours. therefore, the probability of any bead being selected is 1/6.

Now, we know that when Tania picks a bead she puts it back in the box, therefore, the sample size of the box will be the same and also the probability of each bead will be the same as well.

Further, the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again can be written as,

$\rm Probability = (1)/(6) * (1)/(6) * (1)/(6) = (1)/(216)$

Hence, the probability that Tania would pick a yellow bead on the first draw, then a blue bead, and finally a yellow bead again is 1/216.

Learn more about Probability:

brainly.com/question/795909

Each specific bead color has (each time) a probability $\frac{1}6$ of being drawn.

Hence the final probability is $\frac{1}6\cdot\frac{1}6\cdot\frac{1}6=\boxed{(1)/(216)}$

Do you know the answer? Help!Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX
Name the postulate or theorem you can use to prove the triangles congruent.

A. SSS Postulate
B. SAS Postulate
C. ASA Postulate
D. AAS Theorem

Answers

Answer: D. AAS Theorem

Step-by-step explanation:

Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX

Then in Δ DOE and Δ TXU

∠D ≅∠T, [Angle]

∠E ≅ ∠U, [Angle]

EO ≅ UX [Side]

From the figure we can see they are two pair of corresponding congruent angles and one non included sides.

Thus by AAS theorem

Δ DOE ≅ Δ TXU

AAS theorem tells that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.

A cannot be right, as you do not know all 3 sides are equal, you only know one side is.
B cannot be right, as again you only have one side, and need 2
C could be right, but the order is not correct. The side we know is not between the two angles, making this theory incorrect
D is correct, as we have 2 angles next to each other, and a side that is congruent

Simplify p(p - q) - q(q - p).

Answers

p(p-q) - q(q-p)

a(b+c) = a(b) + a(c) so...

p(p) + p(-q) - q(q) - q(-p)

p² -pq - q² + qp

a*b = b*a so...

-pq + qp = 0 so...

The answer is...

p² - q²

((p^2)-pq) - ((q^2)-pq)
(p^2) - (q^2) - 2pq

A skateboard ramp make a 27 angle with the ground to the nearest foot how high is the ramp