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Lady bird [3.3K]

2 years ago

9

Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total

of $65 for membership and gym use. If the equation 10 + 5 x = 65 models the situation, how many times did he use the gym last month?
11
12
13
15

1 answer:

Ivenika [448]2 years ago

6 0

Answer:

11

Step-by-step explanation:

If we input 11 into the equation, we get: 10 + 5(11) = 65.

5 x 11 = 55

55 + 10 = 65

Therefore x = 11

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A population of 400 beetles grows by 5% each week. How can the beetle population be determined after a number of weeks, w?

Helga [31]

For this case we have an equation of the form:
f (w) = A * (b) ^ w
Where,
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b: growth rate
w: number of weeks
Substituting values we have:
f (w) = 400 * (1.05) ^ w
Answer:
the beetle population can be determined after a number of weeks, w, with the following function:
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What is the formula for the sum of the interior angles of a polygon

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Answer:

Sum of the interior angles = (n-2) x 180°

where

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Step-by-step explanation:

The formula for the sum of the interior angles of a polygon is:

$sum=(n-2)*180$

where

$sum$ is the sum of the interior angle of the polygon

$n$ is the number of polygons

Let's check the formula using an example:

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Replacing values

$sum=(4-2)*180$

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$sum=360$

We can apply the same procedure to any convex polygon with n sides.

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What is 66% of $444? (Round to the nearest whole number)

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2 years ago

Which expression is equivalent to<br> (q^6)^2<br> q3<br> q8<br> q12<br> q36

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2 years ago

four families go to the cinema. the reid family take 2 adults and 2 children for £18 ; the mghee family take 1 senior, 2 adults

RoseWind [281]

Answer:

$\pounds 26.50$

Step-by-step explanation:

Let

x = cost for one adult

y = cost for one child

z = cost for one senior.

<u>The Reid family:</u>

take 2 adults and 2 children and paid $2x+2y$ that is $\pounds 18$ , so

$2x+2y=18$

<u>The Mghee family:</u>

take 1 senior, 2 adults and 1 child and paid $x+2x+y$ that is $\pounds 18.50$ , so

$x+2x+y=18.50$

<u>The Griffiths family:</u>

take 1 senior and 3 adults and paid $z+3x$ that is $\pounds 19.50$ , so

$z+3x=19.50$

You get the system of three equations:

$\left\{\begin{array}{l}2x+2y=18\\ \\z+2x+y=18.50\\ \\z+3x=19.50\end{array}\right.$

From the first equation:

$2y=18-2x\\ \\y=9-x$

From the third equation:

$z=19.50-3x$

Substitute them into the second equation:

$19.50-3x+2x+9-x=18.50\\ \\-3x+2x-x=18.50-19.50-9\\ \\-2x=-10\\ \\2x=10\\ \\x=5$

Then

$y=9-5=4\\ \\z=19.50-3\cdot 5=19.50-15=4.50$

Hence,

the cost for one adult is $\pounds 5$

the cost for one child is $\pounds 4$

the cost for one senior is $\pounds 4.50$

<u>The Linton family</u> takes 1 senior, 2 adults and 3 children and paid

$\pounds 4.50+2\cdot \pounds 5+3\cdot \pounds 4=\pounds 26.50$

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