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lesantik [10]
3 years ago
8

Write an equation given linear situation.

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer:

<em />C(t) = 3t - 2 = 12<em />

Step-by-step explanation:

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Bo and Erica are yoga instructors. Between the two of them, they teach 45 yoga classes each week. If Erica teaches 15 fewer than
Solnce55 [7]

Answer:

20 and 25.

Step-by-step explanation:

Given:

They both teach total 45 yoga classes each week.

Erica teaches 15 fewer than twice as many as Bo.

To find:

How many classes does each instructor teach per week  = ?

Solution:

Let number of classes are taken by Bo = x

Then number of classes are taken by Erica = 2x - 15  (given)

Total number of classes are taken by both = 45           (given)

According to the question.

x + 2x - 15 = 45

3x - 15 = 45

By adding both side by 15

3x = 60\\

By dividing both side by 3

x = 20

number of classes are taken by Bo = x = 20

number of classes are taken by Erica = 2x - 15

                                                               = 2\times20 - 15 = 40- 15 = 25\\

Therefore, number of classes are taken by Bo and  Erica is 20 and 25.

6 0
3 years ago
Can someone help me figure out what is 5/12 of 1 ⅓ =
lorasvet [3.4K]

Answer:

Gotta multiply them

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate
Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}

Volume of cone =

V = \dfrac{1}{3}\pi r^2 h

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})

Putting values, we get,

\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0
3 years ago
Which of the following points is not collinear with (3, 6) and (-2, -9)?
Lilit [14]
Its B, cause it’s collinear
5 0
3 years ago
Read 2 more answers
Help me out please and thank you
faust18 [17]
<h3>Answer: 1</h3>

========================================================

Explanation:

We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.

Turn to the distance formula

d = \text{Distance from B to C}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y^2)^2}\\\\d = \sqrt{(-2-(-3))^2+(-1-(-2))^2}\\\\d = \sqrt{(-2+3)^2+(-1+2)^2}\\\\d = \sqrt{(1)^2+(1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\

Coincidentally, the base and height are the same. This won't always be the case.

Now we can find the area of the triangle

A = \text{Area of triangle}\\\\A = \frac{1}{2}*\text{Base}*\text{Height}\\\\A = \frac{1}{2}*\sqrt{2}*\sqrt{2}\\\\A = \frac{1}{2}*\sqrt{2*2}\\\\A = \frac{1}{2}*\sqrt{4}\\\\A = \frac{1}{2}*2\\\\A = 1\\\\

The area of the triangle is 1 square unit.

See diagram below.

5 0
3 years ago
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