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3 years ago

8

A new one-year membership at ReePlex costs $160. A registration fee of $28 is paid up front, and the rest is paid monthly. How m

uch do new members pay each month?

1 answer:

Andru [333]3 years ago

8 0

New members pay $11 each month.

Step-by-step explanation:

Given,

Total cost of new one-year membership = $160

Registration fee = $28

Let,

m be the per month fee.

Therefore,

1 year = 12 months

12m + 28 =160 Eqn 1

Subtracting 28 from both sides

$12m+28-28=160-28\\12m=132$

Dividing both sides by 12

$\frac{12m}{12}=\frac{132}{12}\\m=11$

New members pay $11 each month.

Keywords: equation, division

Learn more about division at:

#LearnwithBrainly

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In the right ∆ABC, the hypotenuse AB = 17 cm. M is the midpoint of the hypotenuse. Find the legs if PAMC=32 cm and PBMC=25 cm

jeyben [28]

Answer:

The length of the legs is 8.64cm and 14.64cm respectively

Step-by-step explanation:

I've added an attachment to aid my explanation.

At different intervals, I'll be making reference to it.

Given

$AB = 17$

$PAMC = 32$

$PBMC = 25$

From the attachment, we have:

$y + z = AB$

Since, M is the Midpoint

$y = z = \½AB$

Substitute 17 for AB

$y = z = \½ * 17$

$y = z = 8.5$

Also, from the attachment

$v + x + z = PAMC$

$v + x + y = 32$

Substitute 8.5 for y

$v + x + 8.5 = 32$

$v + x = 32 - 8.5$

$v + x = 23.5$ --------- (1)

Also, from the attachment

$v + w + z = 25$

Substitute 8.5 for z

$v + w + 8.5 = 25$

$v + w = 25 - 8.5$

$v + w = 17.5$ ----------- (2)

Subtract (2) from (1)

$v - v + x - w = 23.5 - 17.5$

$x - w = 6$

Make x the subject

$x = 6 + w$

Apply Pythagoras Theorem:

We have that:

$AB^2 = AC^2 + BC^2$

The above can be replaced with

$17^2 = x^2 + w^2$ (see attachment)

$289 = x^2 + w^2$

Substitute 6 + w for x

$289 = (6 + w)^2 + w^2$

$289 = 36 + 12w + w^2 + w^2$

$289 - 36 = 12w + 2w^2$

$253 = 12w + 2w^2$

Reorder

$2w^2 + 12w - 253 = 0$

Solve using quadratic equation:

$w = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 2$

$b = 12$

$c = -253$

$w = \frac{-12 \± \sqrt{12^2 - 4 * 2 * -253}}{2 * 2}$

$w = \frac{-12 \± \sqrt{144 + 2024}}{4}$

$w = \frac{-12 \± \sqrt{2168}}{4}$

$w = \frac{-12 \± 46.56}{4}$

Split:

$w = \frac{-12 + 46.56}{4}$ or $w = \frac{-12 - 46.56}{4}$

$w = \frac{34.56}{4}$ or $w = \frac{-58.56}{4}$

$w = 8.64$ or $w = -14.64$

But length can't be negative

So:

$w = 8.64$

Recall that: $x = 6 + w$

$x = 6 + 8.64$

$x = 14.64$

<em>Hence, the length of the legs is 8.64cm and 14.64cm respectively</em>

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3 years ago

A line contains the points (0,0) and (1,4). what are all the equations that represent this line

baherus [9]

Hello ;

<span>A line contains the point (0,0) : y=ax a is aslope
a = (yb -yO)/(xb -xO) B(1;4) O(0;0)
a = (4-0)/(1-0)=4
</span><span>all the equations that represent this line is : y = 4x or y-4x = 0</span>

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4 years ago

Me pueden ayudar con esta pregunta ¡por favor!

maxonik [38]

Answer:

English please

Step-by-step explanation:

english

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Find the area of the composite figure.<br> 21 ft<br> 12 ft<br> 9 ft<br> 9 ft<br> 6 ft<br> 6 ft

nydimaria [60]

Answer:

738 square ft

Step-by-step explanation:

Area of the composite figure

= 21*(12 + 9 + 6) + 9*(9 + 6) + 6*6

= 21*27 + 9*15 + 6*6

= 567 + 135 + 36

= 738 square ft

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What is the range for this set of data? 7, 15, 12<br>A. 3<br>B. 5<br>C. 8<br>D. 12

UNO [17]

Answer:

8 is your answer

Step-by-step explanation:

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