All categories

3 years ago

Every 3 hours, a machine produces 60 baskets what is the unit rate

Mathematics

2 answers:

uranmaximum [27]3 years ago

8 0

Answer:

20 per hour

Step-by-step explanation:

divide 60 by 3=20

Pavel [41]3 years ago

8 0

Answer:

1:20

Step-by-step explanation:

if every 3 hours, the machine produces 60, then the ratio would be 3:60. to turn 3 into one to make it a unit rate, divide it by 3, then do the same to 60 to get 20. check to see if 3:60 is equal to 1:20 and it is so its correct.

You might be interested in

Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maxi

svp [43]

Answer:

A)<em> g(x) </em>has a greater absolute maximum.

Step-by-step explanation:

Given graph of g(x) which is a Parabola

1. Opens downwards

2. The absolute maximum (vertex) is at around (3.5, 6)

i.e. value of absolute maximum is 6.

Another function:

$f(x) =-x^{2}+4x-5$

Let us convert it to vertex form to find its vertex.

Taking - sign common:

$f(x) =-(x^{2}-4x+5)$

Now, let us try to make it a whole square,

Writing 5 as 4+1:

$f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1$

Please refer to attached graph of f(x).

We know that, vertex form of a parabola is given as:

$f (x) = a(x - h)^2 + k$

Comparing the equations we get:

a = -1 (Negative value of <em>a</em> means the parabola opens downwards)

h = 2, k = -1

Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1

and

Vertex of g(x) is at (3.5, 6)

i.e. value of absolute maximum is 6.

Hence, correct answer is:

A)<em> g(x) </em>has a greater absolute maximum.

3 0

3 years ago

4. Reid is building a fence around a square portion of his

tiny-mole [99]

The point that best represents the length of one side of the fence of the square portion of the garden area is: B. Point B.

<h3>What is the Area of a Square?</h3>

Area of a square = s², where s is the side length of the square.

Area of the square portion of his yard = 200 square feet

Side length of one side of the fence = √200 = 14.1 feet.

From the number line given, point B best represents 14.1 feet. Therefore, the side length is best represented by: B. Point B.

Learn more about the area of a square on:

brainly.com/question/813881

#SPJ1

6 0

2 years ago

what will be the total paid on an amortized loan of $15,000 for 5 years at 2 3/4% compounded monthly?

Alex73 [517]

the loan is being amortized, so that doesn't matter for its future value, the simple case that the borrower is paying it in bits monthly.

so, we're really just looking for the future value of the Principal $15000, let's convert theat mixed fraction to improper fraction, and then to a percent format firstly.

$\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}\implies \stackrel{decimal}{2.75} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt}$

$\bf \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$15000\\ r=rate\to 2.75\%\to \frac{2.75}{100}\dotfill &0.0275\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases} \\\\\\ A=15000\left(1+\frac{0.0275}{12}\right)^{12\cdot 5}\implies A=15000\left( \frac{4811}{4800} \right)^{60}\implies A\approx 17208.318305$

how did we get 4811/4800? well, is really just the 1+(0.0275/12), which gives us about 1.0022917 but is a repeating decimal, so 4811/4800 is just the fraction version of it.

5 0

3 years ago

Write the polar coordinates (3, π) in rectangular form.

nlexa [21]

$\bf (\stackrel{\stackrel{r}{\downarrow }}{3}~~,~~\stackrel{\stackrel{\theta }{\downarrow }}{\pi })~~\begin{cases}x=rcos(\theta )\\y=rsin(\pi )\end{cases}\implies [3cos(\pi )~~,~~3sin(\pi )]\\[2em][3(-1)~~,~~3(0)]\implies \boxed{(-3,0)}$

6 0

3 years ago

Which of the following sets of measurements can form exactly 1 triangle..1)a=12,b=27, A=37 degrees..2)a=11,b=15,A=36 degrees.3)a

zhuklara [117]

Answer:

Step-by-step explanation:

you grab to different angles and add them up, they have to be greater than the last angle. you must check all different combinations

3 0

3 years ago