Answer:
3 hours
Step-by-step explanation:
Let the number for hours afterward be represented as: x
The veteran tutor charges $15 for the first session plus $60 per hour afterward.
This is expressed as
$15 + $60 × x
15 + 60x
The new college graduate charges $45 for the first session plus $50 per hour afterward.
$45 + $50 × x
45 + 50x
The number of hours these two must tutor in order to earn the same amount of money is calculated as:
Veteran tutor = New college graduate tutor
15 + 60x = 45 + 50x
60x - 50x = 45 - 15
10x = 30
x = 30/10
x = 3 hours
Therefore, the number of hours these two must tutor in order to earn the same amount of money is 3 hours
Answer:
$730
Step-by-step explanation:
you just put $700-70 which is for 7years
Answer:
you didn't give us the cost of the mushrooms but,
Step-by-step explanation:
If it is a even number then multiply 30 with the price.
The cost of the pecan cheesecake and one apple cheesecake are $11 and $17.
According to the statement
we have given that the Sumalee sold 6 pecan cheesecakes and 12 apple
cheesecakes for a total of $270. Julio sold 12 pecan cheesecakes and 9 apple cheesecakes for a
total of $285.
And we have to find that the cost each of one pecan cheesecake and one apple cheesecake.
So, for this purpose,
Let x be the cost of each pecan cheesecake.
and y be the cost of each one apple cheesecake.
Then The equation become
6x + 12y = 270 -(1)
12x + 9y = 285 -(2)
From elimination method
multiply (1) by 12 and (2) by 6 then
72x + 144y = 3240
72x + 54y = 1710
Now eliminate x from them then the equation become
90y = 1530
here y = 17
then the x become
6x + 12y = 270
6x + 12(17) = 270
6x = 270-204
6x = 66
and x become 11.
So, The cost of the pecan cheesecake and one apple cheesecake are $11 and $17.
Learn more about Elimination method here
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Answer:
3x^2 +8x -10=-8
Step-by-step explanation:
A quadratic equation is
ax^2 + bx +c=0
has a formula
-b ± sqrt( b^2 -4ac)
--------------------------
2a
We know a = 3 b = 8 and c = -2
3x^2 +8x -2=0
Subtract 8 from each side
3x^2 +8x -2 -8=0-8
3x^2 +8x -10=-8
That is choice C