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Doss [256]
3 years ago
13

Erin is considering joining one of 2 clubs. Club A has no registration fee, but charges $105 per month. Club B charges members $

80 per month plus a one-time registration fee of $375. For how many months is club A the cheaper option? Use system of equations
Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

4 months

Step-by-step explanation:

<u>Club A</u>

<em>registration fee: </em>$0

<em>monthly fee</em>: $105

<em>After</em><em> </em><em>every</em><em> </em><em>month</em><em>,</em><em> </em><em>the</em><em> </em><em>total</em><em> </em><em>cost</em><em> </em><em>increases</em><em> </em><em>by</em><em> </em><em>$</em><em>1</em><em>0</em><em>5</em><em>.</em>

month 0: $0

month 1: $105

month 2: $210

month 3: $315

month 4: $420

month 5: $525

month 6: $630

<u>Club</u><u> </u><u>B</u>

<em>registration</em><em> </em><em>fee</em><em>:</em><em> </em><em>$</em><em>375</em>

<em>monthly</em><em> </em><em>fee</em><em>:</em><em> </em><em>$</em><em>8</em><em>0</em>

<em>Notice how</em><em> </em><em>Club</em><em> </em><em>B's</em><em> </em><em>total</em><em> </em><em>reaches</em><em> </em><em>Club</em><em> </em><em>A's</em><em> </em><em>total</em><em> </em><em>after</em><em> </em><em>2</em><em> </em><em>months</em><em>.</em>

month 0: $375

month 1: $455

month 2: $535

month 3: $615

month 4: $695

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Measurement maths!!<br> If good with area please help
Gennadij [26K]

Answer:

a. 15/2 or 7.5 sqcm

b. 20 sqcm

Step-by-step explanation:

Area of a triangle is (base × height)/2.

A = (5×3)/2

A = 15/2 = 7.5cm^2

The area of a parallelogram is just base × height, but yoy have to choose wisely what is the base and height. These two measurements must be perpendicular. So the 4 and 5 are perpendicular. We won't use the measurement 6cm at all.

Area = 4×5

Area = 20 sqcm

4 0
2 years ago
3. Factor.
sleet_krkn [62]
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
5 0
3 years ago
What does 12 ÷3/4 equal? ​
djyliett [7]

Answer:

16.

Hope this helps, have a great day/night!

5 0
4 years ago
GEW has angle measures given by m/_G=5x + 66, m?/_ E = 3x, and m/_ W= 142 -4x whats the mesure of e
8090 [49]

Answer:

21°

Step-by-step explanation:

GEW has angle measures given by m/_G=5x + 66, m?/_ E = 3x, and m/_ W= 142 -4x whats the mesure of e

= 5x + 66 + 3x + 142 - 4x = 180

4x + 208 = 180

4x = 208 - 180

4x = 28

x = 28/4

x = 7

Solving for E = 3x

E = 3 × 7

E = 21°

7 0
3 years ago
A + 2 = 6<br><br> Solving One and Two step Equations
Alex787 [66]

Answer:

a = 4

Step-by-step explanation:

a + 2 = 6

Subtract 2 from both sides

a + 2 - 2 =  6 - 2

           a = 4

4 0
3 years ago
Read 2 more answers
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