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Step2247 [10]
3 years ago
9

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?
Mathematics
1 answer:
valkas [14]3 years ago
6 0

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

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Solve the equation by taking square roots. Problem: 8b^2-7=-76
yulyashka [42]

Answer:

b = +5

Step-by-step explanation:

8b^2=193+7

8b^2=200

b^2= 200/8

b^2=25

b=√25

b=+5

6 0
3 years ago
Find the product.<br><br>(0.5n 5)2(10n 7) 3
sergejj [24]
Your product would be
(0.5n5)2(10n7)3
7 0
3 years ago
Read 2 more answers
What is the measurement of angle Z. <br> A)90∘ <br> B)125∘ <br> C)35∘ <br> D)155∘
Andreyy89
Can’t answer without an image of the angle, sorry
7 0
3 years ago
Franklin weighs 46,266,400 milligrams and his baby brother weighs 4,535.9 grams. What la there total weight in kilograms?
amm1812

Answer:

Exact: 50.8064

Rounded to nearest whole #: 51

Step-by-step explanation:

Our units are: Milligrams, Grams, and Kilograms. For Reference;

Miligrams are 1 million (1,000,000) times smaller than kilos.

Grams are 1 thousand (1,000) times smaller than kilos.

If we divide Franklins weight, 46,266,400 mg, by 1,000,000, our answer is  46.2664 kg, 46 if we round it.

Now, for his baby brother, his weight is 4,535.9 g. Divide this by 1000, and you should get 4.5359 kg, 4.5 if we round it to the nearest tenth.

Now simply add our two answers and you have both of their weight combined.

This is pretty simple, you simply can move the decimal point a certain amount of times dependent on how bigger or smaller your unit is. If we were converting kilograms to grams, we would multiply a value by 1,000, and the inverse for grams to kilograms, which moves the decimal point 3 times.

Any questions? Just ask me. Thanks.

5 0
2 years ago
I need help fast with this! please (14 points)
sveta [45]

Answer:

<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>

<em>Part 2 : Value of x ⇒ 45°,</em>

<em>Part 3 : Measure of Angle U ⇒ 126°</em>

Step-by-step explanation:

~ Part 1 ~

We know that ∑ of angles in a triangle is 180;

m∠ U + m∠ V + m∠ W = 180°,

<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>

~ Part 2 ~

Now let us simplify the equation above to solve for x;

3x - 9 + 30 + 24 = 180,

3x - 9 = 126,

3x = 135,

x = 45 degrees ( ° ) ⇒

<em>Value of x ⇒ 45°</em>

~ Part 3 ~

If it is known that m∠ U ⇒ 3x - 9;

m∠ U = 3 * ( 45 ) - 9,

m∠ U = 135 - 9,

m∠ U = 126 degrees ( ° ) ⇒

<em>Measure of Angle U ⇒ 126°</em>

6 0
3 years ago
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