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3 years ago

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There are 380 tagged elk in the state park. The park ranger counted 500 elk and 220 of

1 answer:

Mademuasel [1]3 years ago

4 0

Answer: 863

Step-by-step explanation:

There are two ratios in this problem, 220:500 and 380:x.

There are 220 tagged elk in a group of 500 elk counted.

There are 380 tagged elk in a group of x elk in the park.

The ratio of tagged elk to elk counted is the same as tagged elk to elk in the park. Solve for x.

Step 1: 500/220 = x/380

500/220 = 2.27

x/380 = 2.27

Step 2: Find the value of x.

x/380(380) = 2.27(380)

x = 862.6 = 863 (rounded)

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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

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3 years ago

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marshall27 [118]

Answer:

B, the second answer choice

Step-by-step explanation:

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3 years ago

The ball park is selling a hamburger combo. At the end of the day, they collected $103.95. If a total of 21 hamburger combos wer

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Answer:

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Step-by-step explanation:

To solve, simply divide 103.95 by 21, and then put a dollar sign. (Most teachers would count no dollar sign as incorrect/points off, so don't forget it!)

103.95 ÷ 21 = 4.95 → $4.95

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3 years ago

(3x+6) 2 is subtracted from 9?

vovikov84 [41]

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3 years ago

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After 4 days, a bookstore has 140 copies of a new title still on hand. After 9 days, the bookstore has 50 copies still on hand.

alexira [117]

Answer:

$c(t) =-18t +212$

Step-by-step explanation:

Given

$(t_1,c_1) = (4,140)$

$(t_2,c_2) = (9,50)$

Required

Determine the equation

First, we calculate the slope (m)

$m = \frac{c_2 - c_1}{t_2 - t_1}$

$m = \frac{50 - 140}{9-4}$

$m = \frac{-90}{5}$

$m = -18$

The equation is then calculated as:

$c =m(t - t_1) + c_1$

$c =-18*(t - 4) + 140$

$c =-18t +72 + 140$

$c =-18t +212$

Hence, the function is:

$c(t) =-18t +212$

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3 years ago