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ratelena [41]
1 year ago
13

A line passes through the point (4, -3) and has a slope of -5/2

Mathematics
1 answer:
goldenfox [79]1 year ago
6 0

The equation of a line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-5/2

point (4,-3)

substitute in the expression above

-3=-(5/2)(4)+b

solve for b

-3=-10+b

b=10-3

b=7

therefore

the equation of the line is

<h2>y=-(5/2)x+7</h2>
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A hotel with 200 rooms has two types of rooms, and when it is completely booked, the hotel earns $18,250. Double rooms rent for
Mkey [24]

A) S + D = 200

B) 85 S + 110 D = 18,250   we multiply A) by -85

A) -85 S -85 D = -17,000  then we add to B) and get

25 D = 1,150

Double Bed Rooms = 46

Single Bed Rooma = 154

*************************************************

Double Check

46 * 110 = 5,060   154 * 85 = 13,090

Total = 18,150


3 0
3 years ago
If 15% of the total ticket sales is $375, what is the value of the total ticket sales?
Arisa [49]

Answer:

The value of the total ticket sales is, 2500

Step-by-step explanation:

Let x be the total ticket sales.

As per the statement:

if 15% of the total ticket sales is $375

\text{15 \% of total ticket} = \frac{15}{100} \times x = \frac{15x}{100}

then;

\frac{15x}{100} = 375

Divide both sides by 15 we have;

\frac{x}{100} =25

multiply both sides by 100 we have;

x = 2500

Therefore,  the value of the total ticket sales is, 2500

5 0
3 years ago
Read 2 more answers
A right cylindrical tank with a total volume of 5,000 cubic units has an interior diameter of 20 units. the volume gauge indicat
vovikov84 [41]
Total volume of the tank is 5000 cubic units
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the height of the fluid will be found as follows
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where:
r=20/2=10 units
hence:plugging in the values and solving for h we get:
3000=π×(10²)×h
thus
h=3000/(100π)
h=9.5292966
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4 years ago
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You have to use a calculated or use your fingers
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3 years ago
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dimaraw [331]

Answer:

149

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Just by guessing you can see that they are 7 and 10

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3 years ago
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