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ratelena [41]
4 years ago
13

Membership at the Universal Fitness Gym offers yearly memberships for $275. Yoga classes cost an additional $5 per class. Write

an equation to represent the total cost of membership.
A)Y=275x+5
B)Y=275x
C)Y=5x+275
D)Y=280x
Mathematics
1 answer:
Dmitry [639]4 years ago
6 0

total cost = membership +cost per class* number of classes

y = 275+5*x

Choice C

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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
Given the original number n. Multiply the number by 9. Add 99. Divide this sum by 9. Subtract the original number, n, from the q
tangare [24]

Answer:

11

Step-by-step explanation:

Hello,

Given the original number n.

\large \boxed{n}

Multiply the number by 9.

\large \boxed{9n}

Add 99.

\large \boxed{9n+99}

Divide this sum by 9.

\large \boxed{\dfrac{9n+99}{9}=n+11}

Subtract the original number, n, from the quotient.

\large \boxed{n+11-n=11}

Thank you.

4 0
3 years ago
The volume of a rectangular prism is given by the product of its length, and height. Samantha has a rectangular prism that has a
Juli2301 [7.4K]

Answer:

V = a²b³ + acb² units³

Step-by-step explanation:

The volume of a rectangular prism is given by :

V = l×b×h

Here, l = b² units

b = aunits

h = ab+c units

So, the volume of the prism is given by :

V = b² × a × (ab+c)

= ab²(ab+c)

= a²b³ + acb²

Hence, the required volume is a²b³ + acb² units³.

3 0
3 years ago
Complete the table of values for y=3-2x​
Irina18 [472]

Step-by-step explanation:

Here is a table.

6 0
4 years ago
15. Davis wants to pour 5 gallons of punch into
Sonja [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?

A. 2½

B. 5½

C. 10

D. 15

Answer:

Number of jugs = 10

Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

Step-by-step explanation:

David has 5 gallons of punch that he wants to pour into jugs.

The capacity of 1 jug is ½ gallon.

The required number of jugs may be found as

Number of jugs = gallons of punch/capacity of jug

For the given case, we have

Gallons of punch = 5

capacity of jug (in gallons) = ½ = 0.5

So, the required number of jugs is,

Number of jugs = 5/½

Number of jugs = 5/0.5

Number of jugs = 10

Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

7 0
4 years ago
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