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tensa zangetsu [6.8K]
3 years ago
6

keiko works as a tutor for $8 an hour and a waitress for $9 an hour. This month, she worked a combined total of 100 hours at her

two jobs. Let t be the number of hours keiko worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.​
Mathematics
1 answer:
lidiya [134]3 years ago
3 0

Answer:   T=800+t

Step-by-step explanation:

You have the following information given in the problem:

- She  works as a tutor for $8 an hour and a waitress for $9 an hour.

- The total hours she worked  at her two jobs is 100 hours.

 Therefore, have:

w=100-t ( w is the total of hours she worked at his job as a waitress)

T=8w+9t (T is the total dollar amount she earned this month)

Substitute w=100-t into the T=8w+9t and simplify. Then, the expression asked is:

T=8(100-t)+9t

T=800-8t+9t

 T=800+t

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Step-by-step explanation:

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Rewrite the equation by completing the square. x^2+10x+24 = 0
ser-zykov [4K]

Answer:

(x+5)^2 = 1

Step-by-step explanation:

x^2+10x+24 = 0

Subtract 24 from each side

x^2+10x+24 -24 = 0-24

x^2+10x = -24

Take the coefficient of x

10

Divide by 2

10/2 =5

Square it

5^2 = 25

Add it to each side

x^2+10x+25 = -24+25

Take the coefficient divided by 2 inside the factor

(x+10/2) ^2 = -24+25

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4 years ago
Help me out here please I need help
torisob [31]

Answer:

the third option would be the best

Step-by-step explanation:

2/7 + 3/8 = 37/56 = .660

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8 0
3 years ago
Question is in the image
pshichka [43]

Answer:

(x +3)^2 + (y -3)^2 = 3^2

Step-by-step explanation:

Your first task is to find the center.

The longest possible line of the circle goes from (-3,0) to (-3,6)

So the center is at the midpoint of these two points.

The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)

That gives you the center of the circle.

So far what you have is

(x +3)^2 + (y -3)^2 = r^2

Now the distance of the center to the bottom point is (-3,3) to (-3,0)

r^2 = (x2 - x1)^2 + (y2 - y1)^2

x2 = - 3

x1 = - 3

y2 = 3

y1 = 0

r^2 = (-3 - -3)^2 + (3 - 0)^2

r^2 = 3^2

The entire answer is

(x +3)^2 + (y -3)^2 = 3^2

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3 years ago
Factor completely 3x3 − 6x2 − 24x. 3x(x − 4)(x + 2) 3x(x + 4)(x − 2) 3x(x − 3)(x − 2) 3x(x + 3)(x − 2)
inysia [295]

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x(x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.

The factors are - 4 and + 2, since

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3 years ago
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