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Answer:

[tex] \: \: \: \: \: \: [/tex]

The weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Recall:

Unit rate is calculated using: [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex]

Unit rate represents the amount of a quantity compared to its unit of measure.

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Since the relationship between number of workers and weekly cost is proportional, we would apply [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex] in determining the weekly cost per worker using the points, ​(6​, 4800​) and ​(15​, 12000​):

Unit rate/weekly cost per worker = [tex]\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800[/tex]

Unit rate/weekly cost per worker = $800

In summary, the weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

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[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]

Answer:

  4 m

Step-by-step explanation:

The area of a circle is given in terms of diameter by ...

  A = (π/4)d²

Then the diameter in terms of area is ...

  d = √(4A/π)

For the given area, the diameter is ...

  d = √(4·4π/π) = 4 . . . meters

The diameter of the circle is 4 meters.

Answer:

y = 0.01(3ˣ)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\dfrac{1}{5}=0.2}[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{2}-\dfrac{3}{10}=\dfrac{1\cdot5}{2\cdot5}-\dfrac{3}{10}=\dfrac{5}{10}-\dfrac{3}{10}=\dfrac{5-3}{10}=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\dfrac{1}{5}\\\\\\\dfrac{1}{2}=0.5;\ \dfrac{3}{10}=0.3\\\\\dfrac{1}{2}-\dfrac{3}{10}=0.5-0.3=0.2[/tex]

Answer:

the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58

Answer:

3 1/3 is already in the simplest form. It can be written as 0.230769 in decimal form (rounded to 6 decimal places).

Have an awesome day! :D

Answer:

2 fruits

Step-by-step explanation:

That's because bananas and pears are two different fruits

Answer:

1  7/20 pounds

Step-by-step explanation:

3/4 + 3/5

Use common denominator of 20

15/20 + 12/20

Add numerators

27/20

Reduce

1  7/20 pounds

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

Step 2: Multiply both sides by 7x.

Step 3: Divide both sides by 98.

Step 4: Check if solution is correct.

Therefore, the answer is 1/98.

Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1

C. 1/2

9 of the truffles are fruit-filled. 2 are coffee-flavored. one is unaccounted for.

Of the 9 fruit-filled ones, 3 are raspberry and one is strawberry. 5 are unaccounted for.

Putting together the ones we don't know, we get 6 unknown ones. 6/12, or 1/2, is the answer.

Answer:

Step-by-step explanation:

this is the answer of the equation as a graph

Answer:

10

Step-by-step explanation:

There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.

Answer:

2.42

Step-by-step explanation:

Answer: 2.4

Step-by-step explanation: It is 2.4 because it is 2 remainder 6

Answer:

The greater the cost, the better the merchandise

Step-by-step explanation:

It’s giving a positive correlation.

Answer:

sorry don't speak Spanish

4) d

let's firstly convert the mixed fractions to improper fractions, and then proceed

[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]

[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]

5)

hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]

Answer:

Y=7x+3

Step-by-step explanation:

Step-by-step explanation:

7 √(1/3) - 2 1/3 √(1/3) +3√147

→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)

→ (7/√3) - (7/3√3) +3×7√3

→ (7/√3) - (7/3√3) + 21√3

On Rationalising the denominators then

→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3

The Rationalising factor of√3 =√3

→ (7√3/3)-[7√3/(3×3)]+21√3

→ (7√3/3)-(7√3/9)+21√3

LCM of 3 and 9 = 9

→ [(3×7√3)-(7√3)+(9×21√3)]/9

→ (21√3-7√3+189√3)/9

→[(21-7+189)√3]/9

→ [(210-7)√3]/9

→ 203√3/9 Ans.

Hope this helps.

i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...

secθ+tanθ=P

⇒(secθ+tanθ)² = P²

⇒sec² θ+tan² θ+2tanθsecθ=P²

⇒2tan²θ + 1 + 2 sinθ/cos θ = P²

⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²

Applying componendo and dividendo

=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1

⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1

=> sinθ = p²-1/ p²+1

Answer:

Step-by-step explanation:

I hate you

Answer:

hundredths place

Answer:

ten thousandths place

Step-by-step explanation:

9 in the thousandths place is basically 0.009, and a 9 in the ten thousandths place is basically 0.0009, which multiplied by ten is 0.009

Answer:

40x10;5x10;40x2;5x2

400+50+80+10

=540

The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.

Let Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs,

a = initial amount, and r = fraction which this growth/decay occurs.

Lionfish are considered an invasive species, with an annual growth rate of 65%.

Then the equation will be

f(n) = P(1.65)ⁿ

P = initial population

A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

7000 = P(1.65)

P = 4242.42

Then the equation will be,

f(n) = 4242.42(1.65)ⁿ

If scientists remove 1,300 fish per year from the bay after the first year.

Then the recursive equation for f(n) will be,

f(n) = 4242.42(1.65)ⁿ - 1300n

Learn More about the exponent link is given below.

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