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finlep [7]
2 years ago
13

4. You have 36 pairs of running shoes. Let x be the

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
4 0

Answer:

  • Nikes: 24 pairs
  • Adidas: 12 pairs

Step-by-step explanation:

The system of equations can be written ...

  x + y = 36

  x = 2y

__

The system can be solve by substituting for x:

  (2y) +y = 36

  y = 12 . . . . . . divide by 3

  x = 2(12) = 24

There are 24 pairs of Nikes and 12 pairs of Adidas.

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Evaluate log12 - log4 + log5 and can you explain it to me?
mario62 [17]
Remember some simple log rules

log(a)+log(b)=log(ab)
and
log(a)-log(b)=log(\frac{a}{b})

work from left to right

log(12)-log(4)+log(5)=
log(\frac{12}{4})+log(5)=
log(3)+log(5)=
log(3*5)=
log(15)
7 0
3 years ago
38 - 8 ÷ 3 - 3 -7 + 4 + 16 ​
Umnica [9.8K]

Answer:

45.33333333333

Step-by-step explanation:

7 0
3 years ago
When solving equation which is the best first step to begin to simplify the equation -2(x+3)=-10
LiRa [457]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given equation is :

-2(x+3)=-10

If we divide the equation with -2 in both sides

\frac{-2(x+3)}{-2}=\frac{-10}{-2}

(x+3)=5

x+3=5

Subtract 3 in both sides

x+3-3=5-3

x=2

So, the first step of simplifying equation is divide equation with -2.  :  Answer

Hope it will help :)

3 0
3 years ago
Read 2 more answers
Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 3 cubic feet
gtnhenbr [62]

Answer:

Therefore the height of the water in the pool changes at the rate of \frac{1}{3\pi} feet per minute.

Step-by-step explanation:

Given that  the shape of swimming pool is right circular cylinder.

The  rate of water pouring in the pool = 3 cubic feet per minute.

It means the rate of change of volume is 3 cubic feet per minute.

\frac{dv}{dt}=3 cubic feet per minute.

When the volume of the swimming pool changed it means the height of the water level of the pool change and the radius of the swimming pool remains constant.

Let the height of the pool be h.

The volume of the pool is = \pi 3^2 h  cubic feet

                                          =9\pi h cubic feet

Therefore,

v =9\pi h

Differentiating with respect to t

\frac{dv}{dt}= 9\pi \frac{dh}{dt}

Putting \frac{dv}{dt}=3

3=9\pi \frac{dh}{dt}

\Rightarrow \frac{dh}{dt} =\frac{3}{9\pi}

\Rightarrow \frac{dh}{dt} =\frac{1}{3\pi}

The change of height of the pool does not depend on the depth of the pool.

Therefore the rate of change of height of the water in the pool is \frac{1}{3\pi} feet per minute.

6 0
3 years ago
​The perimeter of a square is 28 feet. What is its area<br> ​in square feet?
ruslelena [56]

Answer:

49 feet squared

Step-by-step explanation:

To find the area of the square, we have to find the dimensions. If the perimeter is 28 feet, and a square has equal sides, 28 ÷ 4 = 7

Because each side of the square is 7 feet, to find the area we multiply 7 x 7.

7 x 7 = 49

I hope that this helps! :)

4 0
2 years ago
Read 2 more answers
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