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3 years ago

13

A museum calculates the rate for groups by charging $4 per person along with a one-time $8 fee. If the cost for a group is $60,

how many people are in the group? 13
15
14
17

2 answers:

goldfiish [28.3K]3 years ago

8 0

The answer is 13 because if you subtract $8 from $60 its equals $52 and you divide 52 by 4 and it equals 13 people

ziro4ka [17]3 years ago

4 0

15 people is your answer.

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Plz help me will give brainlest I hate my <br>math teacher and the ones I need help with are 3-7

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3 years ago

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Artemon [7]

Answer:

(1, 3)

Step-by-step explanation:

2x + 3y = 11 ------------(i)

-4x + 2y = 2 ------------(ii)

Multiply equation (i) by 2.

(i)*2 4x + 6y = 22

(ii) <u>-4x + 2y = 2</u> {Now add and x will be eliminated}

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2 years ago

Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

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2 years ago

What is x for Unknown angle problems with algebra?

yulyashka [42]

The value of x=20

Step-by-step explanation:

We need to find the value of x

We are given a right angle which is equal to 90°

So, all three angles must sum to 90°

Our equation will be:

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Solving and finding value of x

$x+2x+x+10=90\\4x=90-10\\4x=80\\x=80/4\\x=20$

So, the value of x=20

Keywords: Angles

Learn more about angles at:

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3 years ago

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N76 [4]

Add each term and divide it by 2.

5+7 = 12

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3 years ago