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3 years ago

Write an expression to represent edmission to a zoo of 10.00 and the cost of special exhibits s at $4 each.

Mathematics

1 answer:

Triss [41]3 years ago

5 0

Answer:

Part A: Total cost = 10 + 4s

Part B: Solving for s = 2

10 + 4 * 2 = US$ 18

Correct statement and question:

Write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate your expression when s = 2.

Source: https://www.slader.com/discussion/question/write-an-expression-to-represent-admission-to-a/

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Admission to the zoo = US$ 10

Special exhibit cost (s) = US$ 4

2. Evaluate your expression when s = 2

Total cost = Cost of admission + (s) * Special exhibit cost

Total cost = 10 + (s) * 4

Total cost = 10 + 4s

3. Solving for s = 2

10 + 4s

10 + 4 * 2 = US$ 18

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valentinak56 [21]

Answer:

$\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}$

Step-by-step explanation:

The division problem given to us is $(4x^3-3x^2+5x+6)\div (x+6)$ .

To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is $x+6=0\implies x=-6$ .

We carry out the synthetic division as shown in the attachment.

The result of the synthetic division is 4 -27 167 -996

The first three terms are the coefficients of the quotient and the last term is the remainder.

Therefore the quotient is $q(x)=4x^2-27x+167$ and the remainder is $r(x)=-996$ .

The dividend, the quotient and the divisor are written as

$\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}$

The correct answer is A

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Alchen [17]

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Step-by-step explanation:

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A manufacturer wants to double the volume of a 3 in.×2 in.×6 in. 3 i n . × 2 i n . × 6 i n . box, while using as little extra ca

viktelen [127]

Answer: 2 inch dimension will give smallest increase.

Step-by-step explanation:

Length = 3 in

width = 2 in

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Extra cardboard means to find surface area

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Surface area for the above dimensions = 2 [ 6x2+2x6+6x6] = 120 sq in

On doubling the width

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3 years ago

Given:

lys-0071 [83]

Answer:

$PS=13\text{ units}$

Step-by-step explanation:

So, we know that PR is 20, SR is 11, and QS is 5.

We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.

We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.

So, let's find PQ.

We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:

$(PQ)^2+(QR)^2=(PR)^2$