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____ [38]
2 years ago
9

The cost of pens varies directly as the number of dozens purchased. If 4 dozen cost $10.60, then how much will 7 dozen pens cost

?
Mathematics
2 answers:
Arada [10]2 years ago
8 0

Answer:

18.55

Step-by-step explanation:

kupik [55]2 years ago
5 0
18.55 is the answer to this question
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One number is four times another number. The sum of their reciprocals is 1/4 . What are the numbers?
alexgriva [62]

Answer:

x=2, y=8

Step-by-step explanation:

Set up the equations:

4x=y

1/4x+1/y=1/4

---------------------

1/y+1/y=1/4

2/y=1/4

cross product

y*1=2*4

y=8

4x=8

x=8/4=2

4 0
3 years ago
Negative charge −Q is distributed uniformly over the surface of a thin spherical insulating shell with radius R.
Diano4ka-milaya [45]

Answer:

-(1/4πϵ0)Qq/r^2

Step-by-step explanation:

Firstly we have to assume the uniform shell of radius R as point charge as the point charge.

Then apply coulomb equation of electrostatic charge (Fe=q1q2/4πϵ0r2) where the q1 and q2 are point charges and r is the distance from the centre of charges.

But remember there's a condition that r>>R otherwise the charge will get non-uniformely distributed.

4 0
3 years ago
Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
Zepler [3.9K]

Applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>

<h3>The Trigonometric Ratios</h3>
  • SOH is sin ∅ = opp/hyp
  • CAH is cos ∅ = adj/hyp
  • TOA is tan ∅ = opp/adj
  • SOHCAHTOA is used to solve right triangles.

Given the right triangle in the mage attached below, we would find the missing sides as follows:

<em>Find a:</em>

Reference angle (∅) = 30°

opposite = 4√3

hypotenuse = a

  • <em>Apply SOH:</em>

sin 30 = (4√3)/a

a = (4√3)/sin 30

a = (4√3)/(1/2) (sin 30 = 1/2)

a = (4√3)×2

a = 8√3

<em>Find b:</em>

Reference angle (∅) = 60°

opposite = b

adjacent = 4√3

  • <em>Apply TOA:</em>

tan 60 = b/(4√3)

b = tan 60 × 4√3

b = √3 × 4√3

b = 12

Therefore, applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>

Learn more about trigonometric ratios on:

brainly.com/question/4326804

6 0
2 years ago
Question 5 options: Solve for y in terms of x: 12x−13=3y+b
Elden [556K]
Y = - b/3 +4x - 13/3

8 0
3 years ago
The m∠P is three less than twice the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find the measures of both angles.
notka56 [123]

Answer:

m∠P =119

m∠Q = 61

Step-by-step explanation:

m∠P =  2(∠Q)-3    or p=2(q)-3

supplementary angles so they combine to equal 180!

soooooo we can take  

q+p=180

input what p equals and you get

q+ 2(q)-3=180

3q-3=180

3q=183

q=61

now we have what m∠Q is, so just subtract that from 180 to get m∠P

180-61=119

7 0
3 years ago
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