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3 years ago

Part A

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

110 + 10x ; 40x

Step-by-step explanation:

Given that:

For every visit to Arts museum:

Scenario 1:

Parking fee = $15

Admission fee = $25

Total amount for scenario 1:

If number of visits = x

Total cost = $(15 + 25) × number of visits

Total cost : $40x

With membership :

Price of membership = $110 (one time payment)

Parking fee = $10

Admission fee = $0

Let number of visits = x

Total cost :

Membership fee + (parking fee × number of visits)

$110 + ($10 * x)

= 110 + 10x

B) number of visits for which member cost is less than non-member cost :

Member cost = 110 + 10x

Non member cost = 40x

110 + 10x < 40x

10x - 40x < 110

-30x < 110

x > 3.67

Hence x = 4

Number of visits for which member cost is greater than non member cost is 4

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katrin2010 [14]

Answer:

C. 0.000021

Step-by-step explanation:

Each roll of the die is an independent event.

The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.

Probability of rolling a 1:

There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.

There is one desired outcome, rolling a 1.

p(1) = 1/6

Probability of rolling a 2:

Similar to rolling a 1, there is 1 desired outcome,rolling a 2, out of 6 possible outcomes.

p(2) = 1/6

The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.

p(1, 2, 3, 4, 5, 6, in that order) = p(1) * p(2) * p(3) * p(4) * p(5) * p(6)

= (1/6)^6

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3 years ago

BRAINLIEST ASAP! Solve for n: –6 (n–8) = 4 (12–5n) + 14n.

Alisiya [41]

Answer:

ℝ

Explanation:

–6(n – 8) = 4(12 – 5n) + 14n

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–6n + 48 = 48 – 6n ☑

These two expressions are EXACTLY the same, therefore all real numbers of n would make this equation true.

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3 years ago

What is the slope, m, and y-intercept for the line that is plotted on the grid below? On a coordinate plane, a line goes through

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3 years ago

Read 2 more answers

If you don’t know the answer don’t answer it pls help me out if you do tho!

antoniya [11.8K]

Answer: x = 8

Step-by-step explanation:

Hello again XD.

This is a coordinate plane and all the angles on a coordinate plane add up to 360°

Divide 360 by 4 to get the measurement of the section we are working in.

360/4 = 90°

This means it is complementary and complementary angles state that both separate angles added together = 90°

therefore,

6x + 2 + 40 = 90

combine like terms:

6x + 42 = 90

now subtract 42 from both sides

6x = 48

divide 6 from both sides to get:

x = 8

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2 years ago

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Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .

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2 years ago