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3 years ago

Question : A soccer team played 160 games and won 65 percent of them. How many games did it win?

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

104 games, you would first translate the percent to a decimal which would be .65 and multiply 160 by .65.

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

7 0

3 years ago

Find the unit rates: 8 ounces for $0.89? 32 ounces for $2.39?

Lilit [14]

Answer:

.89/8=.11

2.39/32=.07

Step-by-step explanation:

.89/8=.11

2.39/32=.07

6 0

2 years ago

What is the answer in substiution y=2x-9 and y=3

ale4655 [162]

Answer:

x= -6

Step-by-step explanation:

7 0

1 year ago

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Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 7 cubic feet

olchik [2.2K]

V = (pi)r² h
v = (pi)5² h
v = 25(pi) h
take derivative with respect to h
dv/dh = 25(pi)

(dv/dt)*(dt/dh) = dv/dh

dv/dt is given to be 5 cm³
solved for dv/dh = 25(pi)

5(dt/dh) = 25(pi)
dt/dh = 25(pi)/5
dt/dh = 5(pi)

then the recipricol of dt/dh; we want to find dh/dt = 1/(5(pi))

5 0

3 years ago

There are 60 marbles in a leather bag. Some of the marbles are blue, some are green, some are clear, some are gold, and some are

mr_godi [17]

Answer:12 blue marbles

Step-by-step explanation:

I by 5 percent chance of blue marble

Let the number of blue marbles be x

X/60=1/5

5x=60

X=60/5

X=12

6 0

3 years ago

Read 2 more answers