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Ad libitum [116K]
2 years ago
12

A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many

months has he been a member?
Mathematics
1 answer:
max2010maxim [7]2 years ago
3 0

Answer:

133= 12x +25 (subtract 25 from both sides to isolate the x-term)

108= 12x (divide by 12 on both sides to get x alone)

x= 9 months

Step-by-step explanation:

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On a map,1 in. represents 12 mi. Two cities are 6 1/2 in. on a map. How far apart are the actual cities? A. 78 mi B. 72 1/2 mi C
Dovator [93]
1 inch= 12 miles


Multiply 6 1/2 inches by total number of miles per 1 inch (12).

= 6 1/2 * 12
convert to improper fraction

= 13/2 * 12
multiply numerators

= (13*12)/2
multiply in parentheses

= 156/2
divide

= 78 miles


ANSWER: (A) 78 miles

Hope this helps! :)
3 0
3 years ago
Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
8 0
3 years ago
What is the measure of angle A in the triangle?<br> Enter your answer in the box.<br> mZA=
stepladder [879]

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

A + B + C = 180

2x-10 + 70+ x+30 = 180

Combine like terms

3x +90 = 180

Subtract 90 from each side

3x+90-90=180-90

3x= 90

Divide by 3

3x/3= 90/3

x=30

We want to find angle A

A = 2x-10

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  50

6 0
3 years ago
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Please help 50 points!<br> Simplify the expressed
LenKa [72]

Answer:

Step-by-step explanation:

\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}  rewrite as multiplication

\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}  look to factor

\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}  , difference of 2 squares and perfect square

\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}, finish factoring and simplify

2(x+3)

3 0
2 years ago
Patty bought cupcakes for her sister's birthday party. 15 out of the 25 cupcakes had sprinkles on top. What percentage of the cu
Dafna11 [192]

Answer:

60%

Step-by-step explanation:

15/25=.6

6 0
2 years ago
Read 2 more answers
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