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3 years ago

Solve each proportion ; b/5= 8/16 ( those are fractions)

Mathematics

1 answer:

Alex Ar [27]3 years ago

6 0

The answer is 2.5 just set it up and cross multiply then divide

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If the diameter of a wheel is 0.5 meters, then the radius of the wheel is how many centimeters

NISA [10]

Radius = diameter x 0.5
0.5x0.5 = 0.25meter

0.25 meter x 100 cm (100cm in one meter) = 25cm

also for future reference circumference = pie x r squared.

8 0

3 years ago

Read 2 more answers

Mark’s canoes rents canoes for $20 plus $13 per hour. You do not want to spend more than $150. For how many hours can you afford

Evgen [1.6K]

Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

8 0

2 years ago

Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets

Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x + y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0

3 years ago

No clue on this need help please

maria [59]

It would be 10x5 + 3x8= 74

5 0

3 years ago

Read 2 more answers

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1$

Also Slope of line when angle ' θ ' is given as

$Slope=\tan \theta$

Substituting Slope = 1 we get

$1=\tan \theta$

$\tan \theta=1\\\theta=\tan^{-1}(1)$

We Know That for angle 45°,

tan 45 = 1

Therefore

$\theta=45\°$

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0

3 years ago