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8_murik_8 [283]
3 years ago
12

Manny's parents came in to eat and he waited on them. Their bill was $45.20, and they left him a 35% tip. How much was his tip?

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Step-by-step explanation:

Use the equation ?/45.20 = 35\100 and what you get is your answer

Hope this helps

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Find the equation of the line passing through the given points. Express the equation in standard form.
Artyom0805 [142]

We want to write the equation of the line passing through these two points in standard form.

First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C

We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the  change in the y coordinates

m = y sub2  - y sub1 divided by the change in the X coordinates  x sub2 – x sub1              

We will start by determining the slope

(1, -6) the 1 is x sub 1  and the 6 is y sub 1

(-7, 2) the -7 is x sub 2 and the 2 is y sub 2

2 - (-6) = 8

-7 -1 = -8

so equation now is m = -1

So now again referring back to the slope intercept of the line we now know y = -1 + b.  We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b.  Since these points are on the line, they must satisfy this equation.  If we use the first coordinates, we would substitute 1 for x and -6 for y.  

-6 =  -1 times x, which is 1 + b

b = -5

construct the line equation y = mx + b where m = -1 & b = -5

In slope intercept form the equation would be y = -x - 5

Now we want to write this in standard form now.  We have to deal with two things.  The x and y terms have to be on the left side and A and B and C have to be integers.  

The standard form of a linear equation is Ax + By=CA x + By = C .   Move all terms containing variables to the left side of the equation.

Add x to both sides of the equation.

y + x = -5

Reorder y & x

x + y = -5

3 0
3 years ago
Name three quaderlateral that only sometimes have right angle
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Rhombus, trapezoid, and parallelogram
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3 years ago
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In a survey, 200 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The result
siniylev [52]

Answer/Step-by-step explanation:

a. % of people who smoke = no. of people who smoke ÷ total no. of people surveyed × 100

Total no. of people who smoke is given = 4 + 36 = 40

Total people surveyed = 200

% of people who smoke = \frac{40}{200}*100 = \frac{40}{2}*1 = 20 percent

a. % of people who do not exercise regularly = no. of people who do not exercise regularly ÷ total no. of people surveyed × 100

Total no. of people who do not exercise regularly = 36 + 134 = 170

Total people surveyed = 200

% of people who smoke = \frac{170}{200}*100 = \frac{170}{2}*1 = 85percent

8 0
4 years ago
You are on the south side of a river and you need to cross the river in order to get to a campsite. Not
Doss [256]

Answer:

Width of river = 0.25 mile

As length of river is not given , but it is given that  campsite is located 1 mile east upstream, So length of river = 1 mile

Speed of mine in river while going upstream = 3 miles per hour

Speed of current as going Upstream = 1 miles per hour

Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream

                                              = 3 - 1

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1. There are two ways to reach campsite

(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.

Or

(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula = \sqrt{(altitude)^2 + (Base)^2

=\sqrt{.25^2+1^2}

=√1.0625

=1.03078(approx)

⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]



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AleksAgata [21]
4, 16, 64, 256. The powers are 4 to the first. Four to the second, four to the third and four to the fourth power.
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