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QveST [7]
3 years ago
15

Marissa and Callie both have babysitting jobs. Marissa charges $19 plus $1.50 per hour. Callie charges $15 plus $2.75 per hour.

Which of the following represents a possible number of hours when Callie will earn more than Marissa?
Mathematics
2 answers:
DiKsa [7]3 years ago
5 0
The answer to this question would be 4 hours .
aliya0001 [1]3 years ago
3 0

Answer:

4 hours

Step-by-step explanation:

Write an equation

19 +1.5x < 15+2.75x

Subtarct 15 on both sides

4+1.5x<2.75x

subtract 1.5x on both sides

4< 1.25x

Divide 1.25 on each side

3.2<X

Since they on,y charge per hour so 4 hours

You might be interested in
If there are 512 relation from a set A = [1,2,3] to a set B, then find number of elements in B ​
kramer

<u>EXPLANATION</u><u>:</u>

Given set A = { 1,2,3}

n(A) = 3

Let the n(B) be n

Total number of relations from A to B = 2^(3×n) =2^3n

According to the given problem

Total relations are = 512

⇛2^3n = 512

⇛2^3n = 2⁹

If bases are equal then exponents must be equal

⇛3n = 9

⇛n = 9/3

⇛n = 3

<h3>So, Number of elements in the set B = 3</h3>
8 0
2 years ago
Factor the following equation to find its zeros.
Thepotemich [5.8K]

Answer:

  A|  12, 3

Step-by-step explanation:

The polynomial can be factored by looking for factors of 36 that sum to -15. The sum being negative while the product is positive means both factors will be negative. The answer choices suggest ...

  y = (x -12)(x -3)

A quick check shows this product is ...

  y = x^2 -12x -3x +36 = x^2 -15x +36 . . . . as required

The factors are zero when x is either 12 or 3.

The zeros of the equation are 12 and 3.

____

Once you realize the constants in the binomial factors both have a negative sign, you can immediately choose the correct answer (A).

Or, you can use Descartes' rule of signs, which tells you that the two sign changes in the coefficients (+-+) mean there are 2 positive real roots.

6 0
3 years ago
The first 5 terms of a quadratic sequence are
Mashcka [7]

Step-by-step explanation:

an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.

8 0
2 years ago
Determine whether the two expressions are equivalent. Explain your reasoning.
dlinn [17]
Let us evaluate each pair of expressions one at a time.
8. (n²+4) - n² and 4n.
    (n²+4) - n² = n²+ 4 - n² = 4 which is not equal to 4n.
    NOT EQUIVALENT

9. 3x + 5 and  2(x + 3)
    2(x + 3) = 2x + 6  which is not equal to 3x + 5.
    NOT EQUIVALENT

10. 15 - 6x and  15(1 - 6x)
    15(1 - 6x) = 15 - 90x which is not equal to 15 - 6x
    NOT EQUVALENT

11. (y + y + 2 + y) + 3y and 6y + 2
    (y +y +2 + y) + 3y = y+y+y +2 + 3y = 3y + 2 + 3y = 6y + 2.
    It matches the other expression.
    EQUIVALENT

12. 8y - 3 + 10y and 3(6 - 1)
    8y - 3 + 10y = 8y + 10y - 3 = 18y - 3
    3(6 - 1) = 3(5) = 15
    The two expressions do not match.
    NOT EQUIVALENT.

Answer: Only the expressions in number 11 are equivalent.
6 0
3 years ago
Pls help for number 6
Vlad1618 [11]
A: 45x + 30y = 1350
Since we don’t know how many adults and children are in the group, we use x and y

b: x-intercept= 30 y-intercept=45
To find the x-intercept you need to isolate the variable. 45x/45 = x
Then you do the same thing to the other side. 1350/45 = 30
So x=30
Same thing with the y-intercept.
30y/30 = y 1350/30 = 45
y=45 (Not really sure what it means by “what they represent” but I thinks it’s that there are 30 adult tickets and 45 children tickets )

c: so our points are (30,0) and (0,45) so you would graph that.
To find how many children tickets were bought if there were 20 adult tickets just look at the photo I put. I don’t know how to explain this.


Hope this helps

7 0
2 years ago
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