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Brums [2.3K]
3 years ago
7

Wilton drives a taxicab. He charges $40 per hour. One passenger gave Wilton a tip of $30. He gave Wilton a total of $150. He is

wondering how many total hours he drove the passenger.
(a) Define the unknown in the scenario and assign it a letter or symbol.

(b) Write an equation to represent the amount of money Wilton earned on the trip.
Mathematics
2 answers:
Sveta_85 [38]3 years ago
3 0
(a) 40 x d =120
(b)40 x 3=120      120 + 30=150
jekas [21]3 years ago
3 0
A) The amount of hours(h) is the unknown.So the symbol is h.
b) (150-30)/40=h
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Stolb23 [73]

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1.5

Step-by-step explanation:

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3 years ago
A cube has a volume of 1000cm^3. Work out the surface area Of the cube.
erik [133]

Answer:

600

Step-by-step explanation:

V = s×s×s = s³

V = 10×10×10 =1,000

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6 0
3 years ago
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres
Nataly [62]

Answer:

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of c units up, the translation is given as:

(x,y)\rightarrow (x,y+c)

For shift of k units right, the translation is given as:

(x,y)\rightarrow (x+k,y)

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

So, co-ordinates of point A after translation is given by :

(-3,4)\rightarrow (-3+1,4+2)=(-2,6)

After the translation, the coordinates of vertex A is (-2,6).

4 0
4 years ago
Different hotels in a certain area are randomly​ selected, and their ratings and prices were obtained online. Using​ technology,
hoa [83]

Answer:

Step-by-step explanation:

Hello!

A linear regression for the price of renting a room in a hotel and the rating said hotel received was calculated from a sample of n= 25 hotels.

The theoretical regression model is E(Y)= α + βXi

And the estimated regression equation is: ^Y= a + bXi

Where:

The estimator for the slope is b= 125

And the estimator of the Y-intercept is a= -400

So for this example the estimated regression line for the price of the hotel rooms given the ratings of the hotel is:

^Y= -400 + 125 Xi

^Y= represents the estimated average price of a hotel room

a= -400 is the estimated average price of a hotel room when the rating of the hotel is zero.

b= 125 is the modification of the estimated average price of a hotel room when the rating of the hotel increases one unit.

I hope this helps!

5 0
4 years ago
Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.
Angelina_Jolie [31]
2w-v+1
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5
Your answer is 5

3 0
3 years ago
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