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Natalka [10]
2 years ago
5

Select the correct answer.

Mathematics
2 answers:
lakkis [162]2 years ago
8 0

Answer:

6x + 4y ≤ 50

x + y ≥ 10

Step-by-step explanation:

$6 is the cost of stuffed animals $4 is the cost of toy trucks and the her maximum budget is $50 it would be 6x+4y is less then or equal to 50 and there is AT LEAST 10 people so the amounts which are x and y would be equal to or greater than 10.

olga2289 [7]2 years ago
8 0

Answer:

6x+4y\leq 50

x+y\geq 10

Step-by-step explanation:

x represents the number of stuffed animals.

y represents the number of toy trucks.

Now, according to the problem, she found stuffed animals for $6.00 each and toy trucks for $4.00 each. Also, Laura has a restricted budget of $50. All these can be expressde as

6x+4y\leq 50

Also, the problem states that Laura wants to provide one partu favor per person to at least 10 people, that means

x+y\geq 10, because "at least" represents a minimum value, which is expressed with \geq.

Therefore, the inequality system that models this situation is

6x+4y\leq 50

x+y\geq 10

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Find g o f if f(x) = 2x - 1 and g(x) = x + 2.
bezimeni [28]

Answer:

  (g◦f)(x) = 2x +1

Step-by-step explanation:

(g◦f)(x) = g(f(x)) = g(2x -1) = (2x -1) +2

(g◦f)(x) = 2x +1

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Substitute f(x) for the argument in the function g(x) and simplify.

7 0
3 years ago
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5 . Suppose 49 golfers p
Nadya [2.5K]

Answer:

The probability that the average score of the 49 golfers exceeded 62 is 0.3897

Step-by-step explanation:

The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 3.5

\mu = 61

\sigma = 3.5

We are supposed to find he probability that the average score of the 49 golfers exceeded 62.

Formula : Z=\frac{x-\mu}{\sigma}

Z=\frac{62-61}{3.5}

Z=0.285

Refer the z table for p value

p value = 0.6103

P(x>62)=1-P(x<62)=1-0.6103=0.3897

Hence the probability that the average score of the 49 golfers exceeded 62 is 0.3897

7 0
3 years ago
Simplify completely 10x6y3+20x3y2/5x3y​
Kryger [21]

Answer:

\large\boxed{\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=2x^3y^2+4y}

Step-by-step explanation:

\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=\dfrac{(5x^3y)(2x^3y^2)+(5x^3y)(4y)}{5x^3y}\\\\=\dfrac{5x^3y(2x^3y^2+4y)}{5x^3y}\qquad\text{cancel}\ 5x^3y\\\\=2x^3y^2+4y

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3 years ago
What is 3 divided by what equals 36
Vedmedyk [2.9K]
3/x=36

Multiply both sides by x
3=36x

Then divide both sides by 36
3/36=x
1/12=x

Final answer: 1/12
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Answer:

Step-by-step explanation:

sinx=(opposite side)/(hypotenuse)

There really is no ‘explanation’ as that ratio IS the definition of sin.

7 0
3 years ago
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