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ankoles [38]
3 years ago
8

Juan decided to join a gym to get in shape for football. He has two payment options. Option a is to buy a membership card and pa

y $2 each time he goes to the gym. Option b is to pay $4 each time he goes. A membership card cost $30. After how many times, t, will cost of option a be equal to cost of option B.
(15.) (20) (50.) (25 )
Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0
15 because I said so and that is my fav number
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Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third? One-th
Airida [17]

Answer:

Step-by-step explanation:

Given the equation \frac{1}{3}(x+9) = -12

Step 1;

Expand the bracket at the right hand side of the equation to have:

\frac{1}{3}x +\frac{1}{3}(9) = -12\\\frac{1}{3}x+3=-12\\subtracting\ 3\ from\ both\ sides\\\frac{1}{3}x+3-3=-12-3\\\frac{1}{3}x=-15\\

Taking the reciprocal of both sides:

\frac{3}{x} = \frac{-1}{15} \\ cross\ multiplying\\-x =45\\x=-45

4 0
3 years ago
Read 2 more answers
The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

4 0
3 years ago
Each week, Alfonso earns $85 for every shift he works at the theater and $15 for every dog-walking job. He uses the expression 8
xeze [42]
The coefficients are 15 and 85.
the variables are x and y.

85 represents 85 dollars for each x, which is the number of shifts.
15 represents 15 dollars for each y, which is the number of dog walking jobs.
7 0
3 years ago
4-58. Lisa plans to retire on her 61st birthday. On her
mojhsa [17]

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

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⇒  A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0

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⇒      =2180.81 ($)

4 0
3 years ago
Write a numerical expression with exponents to describe the sum of 3x3x3x3 and 36
Scorpion4ik [409]

4
3 +36 which is equal to 117
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3 years ago
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