Ask question

Ask question

All categories

zhannawk [14.2K]

3 years ago

15

A recycling center estimates that it recycles 15 plastic bottles for every 6 glass bottles. What is the ratio of plastic bottles

to total bottles that are recycled?

1 answer:

malfutka [58]3 years ago

3 0

Answer:

5:7

Step-by-step explanation:

There's 21 bottles total, and 15 plastic bottles.

15:21

Both 15 and 21 are divisible by 3.

15/3 = 5

21/3 = 7

5:7

You might be interested in

What function was used to make that pattern

Semenov [28]

Answer:

B

Step-by-step explanation:

The differences in the terms of f(x) are + 3, + 5, + 7

Since the differences are not constant the relationship is not linear

Note the differences in the differences are + 2, + 2,

The second differences are constant indicating a quadratic relationship

Note the relationship between x and f(x)

x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)

x = 2 → 2² = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)

x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)

x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)

Thus f(x) = x² + 5 → B

3 0

2 years ago

The triangle shown below has an area of 20 units.

harina [27]

Happy anniversary birthday to you happy birthday to happy mama mama ghar ko happy anniversary birthday

3 0

2 years ago

Find the 7th term of the geometric sequence -5, 15, 45, 135, 405,...

katovenus [111]

Answer:

1,215

Step-by-step explanation:

Because if you think of it it multiplies by 3x so 3x5=? 15! 15x3=? 45! 45x3=? 405! 405x=3? 1,215! 1,215x3=? 3,645! anyways, I can go on and on I hope this answer was right!

7 0

2 years ago

Od<br> 2<br> (<br> 2 7 1-3<br> 1 3 1-2<br> 6:1-6<br> b =<br> d =<br> IDONE

Lena [83]

Answer:

$a = \boxed{1},\: b=\boxed{0}\\\\c=\boxed{0},\: d=\boxed{1}$

Step-by-step explanation:

$\begin{bmatrix} 2 & 7\\\\1 & 3\end{bmatrix}\:\begin{bmatrix} -3 & 7\\\\1 & -2\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

Multiply both the matrices on left side, we find:

$\begin{bmatrix} 2(-3)+7(1) & 2(7)+7(-2)\\\\1(-3)+3(1) & 1(7)+3(-2)\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

$\rightarrow\begin{bmatrix} -6+7 & 14-14\\\\-3+3 & 7-6\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

$\rightarrow\begin{bmatrix} 1 & 0\\\\0 & 1\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

Comparing the corresponding elements of both the matrices on both sides, we find:

$a = \boxed{1},\: b=\boxed{0},\:c=\boxed{0},\: d=\boxed{1}$

7 0

2 years ago

What is the integral of e^(-4x)dx from 0 to 1?

EleoNora [17]

$\texttt{We use the formula: } \\ \int ae^{bx} = abe^{bx} ~~~ a,b \in R\\ \\ 
 a=1 \texttt{ and } b=-4\\ \\ 
\Longrightarrow ~~ \int\limits^0_1 {e^{-4x}} \, dx = -4e^{-4x}\Big|_0^1 = -4e^{-4\cdot 1} - (-4e^{-4\cdot 0} )= \\ \\ 
= -4e^{-4} +4e^0 = -4e^{-4} +4e^0 = \boxed{-4e^{-4} +4}$

4 0

2 years ago

Read 2 more answers