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tensa zangetsu [6.8K]
3 years ago
12

Josh works as a tutor for $9 an hour and as a waiter for $8 dollars an hour. This month, he worked a combined total of 101 hours

at his two jobs.
Let t be the number of hours Josh worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Mathematics
1 answer:
katovenus [111]3 years ago
6 0
<h3>Answer:   9t+8(101-t)</h3>

Work Shown:

t = number of hours tutoring

101-t = number of hours working as a waiter

The expressions t and 101-t add to 101.

9t = amount earned as a tutor, at $9 an hour

8(101-t) = amount earned as a waiter, at $8 an hour

9t+8(101-t) = total amount earned from both jobs

This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.

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suppose that 18 inches of wire costs 54 cents. At the same rate, how much (in cents) will 36 inches of wire cost?
Ilya [14]

Answer:

108

Step-by-step explanation:

Since 18 x 2 = 36 you can just multiply 54 x 2. 54 x 2 =108

5 0
3 years ago
Let f(x)= - 3x - 1 and g(x)=x2 + 2.<br> Find (fog)(-6).
Leona [35]

Answer:(Fog)(-6)=29

Step-by-step explanation:

(fog)=-3(2x+2)-1

=-6x-6-1

=-6x-7

(fog)(-6)= -6(-6)-7

=36-7

=29

6 0
3 years ago
What is the solution of quadratic system of equations ?
kobusy [5.1K]

Answer:

(- 1, 1) and (- 5, - 35)

Step-by-step explanation:

since both equations express y in terms of x, equate the right sides

x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )

2x² + 12x + 10 = 0  ( divide all terms by 2 )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

substitute these values into either of the 2 equations and solve for y

x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )

x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )

None of the given options



8 0
3 years ago
What is the slope of the line with equation y=12x
fomenos
  <span>When you have an equation of the form y = mx + b (which you do in this case), the slope is always equal to the coefficient of x, which is m or 12 in this case. Since there is no "b" in your equation, you could say that b=0, and the line is known to cross the y axis at zero. 

In case you are interested, if the equation said y = 12 x + 3 the slope of the line would still be 12 but the line would cross the y axis at 3. If the equation said y = 12x -4, the line would have a slope of 12 and would cross the y axis at -4.</span>
5 0
3 years ago
If c+1/d=5 , what is the value of 30d/2c+2
klemol [59]

Answer:

3

d\in R,\hspace{5}d\neq 0

Step-by-step explanation:

You can solve for any variable. From the first equation, let's solve for c :

\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1

Now, replace the value of c into the other equation:

\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\

Using distributive property

\frac{30d}{10d-2+2} =\frac{30d}{10d} =3

However, keep in mind that this is true for:

d\in R,\hspace{5}d\neq 0

8 0
3 years ago
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