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2 years ago

7

Lucie is struggling with Geometry and is in need of a private tutor. She has two candidates in mind. The veteran tutor charges $

15 for the first session plus $60 per hour afterward. The new college graduate charges $45 for the first session plus $50 per hour afterward. How many hours must these two tutor in order to earn the same amount of money?

1 answer:

lapo4ka [179]2 years ago

5 0

Answer:

2.33 hours

Step-by-step explanation:

Given

Veteran Tutor

$Charges = \$15$ --- first session

$Hourly\ Rate = \$60$

College Graduate

$Charges = \$45$ --- first session

$Hourly\ Rate = \$50$

Required

Determine the number of hours they earn the same amount

Represent the hours with x

First, we need to calculate the total charges for the veteran tutor for x hours;

$Total = 15 + 60x$

Next, we need to calculate the total charges for the college graduate tutor for x hours;

$Total = 45x + 50$

For them to earn the same amount, we have:

$15 + 60x = 45x + 50$

Solving for x

$60x - 45x = 50 - 15$

$15x = 35$

Divide through by 15

$x = \frac{35}{15}$

$x = 2.33\ hours$

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2 8 −10−15÷3=2, start superscript, 8, end superscript, minus, 10, minus, 15, divided by, 3, equals

Sergio039 [100]

Answer:

241

Step-by-step explanation:

Given the equation to evaluate :

2^8 −10−15÷3

2^8 = 256

256 - 10 - 15 ÷ 3

From BODMAS principle, we evaluate the divison before subtraction :

-15 ÷ 3 = - 5

256 - 10 -5

256 - 15

= 241

8 0

2 years ago

HELP PLEASE and show work

larisa86 [58]

Answer:

$\boxed{\stackrel{\Large\frown}{PQS}\:= 222°}$

Explanation:

Since $\overline{PR}$ is a diameter, arc $\stackrel{\Large\frown}{PQR}\:= 180°.$

Given that $\angle{SUR} = 42°$ is a subtended central angle by two diameters,

$\stackrel{\large\frown}{RS} \:= 42°$ .

Using the rule of arcs, $\stackrel{\Large\frown}{PQR} + \stackrel{\large\frown}{RS} \: = \: \stackrel{\Large\frown}{PQS}$ →

$180° + \: 42° = \: \stackrel{\Large\frown}{PQS}$

$222° = \: \stackrel{\Large\frown}{PQS}$

$\stackrel{\Large\frown}{PQS} \: = \: 222°$

3 0

2 years ago

Work backward to find the value of the variable in the equation below d-4=23

AnnyKZ [126]

Answer:

27

Step-by-step explanation:

The equation is a onestep equation, so in order to find the variable, follow these steps:

d - 4 = 23

In order to isolate the variable or get the variable by itself, you need to get rid of the constants around it or the numbers without a variable. In order to do that for this equation, you'll need to do the inverse of subtracting 4, which would be adding four to both sides.

Adding 4 to positive 23 will give you the answer of 27;

d = 27

Therefore, the variable d equals 27

Hope this helps!

8 0

3 years ago

Which problem can be solved using the expression 3 fifths divided by 5 eighths

Anna71 [15]

3/5 divided 5/8 = 24/25

7 0

3 years ago

Read 2 more answers

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

$=x^2+6x+9$

Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

5 0

2 years ago