1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Murrr4er [49]
3 years ago
12

Valleywood Golf course offers classes Monday through Saturday. The Saturday classes last 75 minutes. If they offered 705-minutes

of classes last week, what was the maximum number of weekday classes?
Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer:

Step-by-step explanation:

To make the problem easier to solve, we will set it up as the equation of the length of time of each class times the number of classes equals the total amount of minutes. However, since we don't know the number of classes, we'll symbolize our two unknowns with two variables.

75x + 45y = 705

(75x + 45y)/15 = 705/15

5x + 3y = 47

y = (47-5x)/3

It looks like we can't simplify the equation any more, so now it is a matter of trial and error. The minimum number of Saturday classes means the maximum number of weekday classes. We first will test for the maximum by assuming there are no Saturday classes, then will work our way up until x is an integer.

If x = 0

(47-5(0))/3 = 47/3 = 15.6666

If x = 1

(47-5(1))/3 = 42/3 = 14

This works. Therefore, the maximum number of weekday classes is 14, or choice b.

You might be interested in
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1? On a coordinate plane, a vertical dashed line at (n
Deffense [45]

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis ⇒ 2nd answer

Step-by-step explanation:

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where

  • (h , k) are the coordinates of its vertex point
  • The axis of symmetry of it is a vertical line passes through (h , 0)
  • The minimum value of the function is y = k at x = h

∵ f(x) = a(x - h)² + k

∵ f(x) = (x - 2)² + 1

∴ a = 1 , h = 2 , k = 1

∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)

∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)

∵ Any vertical line is parallel to y-axis

∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and

   passes through (2 , 0)

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis

   

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Which equation represents the axis of symmetry of the function y= -2x^2 + 4x -6?
daser333 [38]

Answer:

The axis of symmetry is on x = 1

Step-by-step explanation:

When you graph the function, the vertex is at (1,-4). This means that the axis of symmetry is at x = 1

If this answer is correct, please make me Brainliest!

7 0
3 years ago
Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.
PtichkaEL [24]
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250. 

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a). 
In this case, 
f(x)=x^3-75x+250 
(x+a)=(x+10) 
Therefore, the remainder f(-a)=f(-10) 

=x^3-75x+250 
=(-10)^3-(75*-10)+250 
=-1000+750+250 
=1000-1000 
=0. 
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
8 0
3 years ago
PLZZ HELPP FAST WILL GIVE MEDAL!!
Afina-wow [57]
8 5 8 5 hopefully its right i'm not good at this kind of stiff
6 0
3 years ago
1 5x=-10 please help me i need this quick
Leokris [45]
Divide -10 in 15 = -0.666666666
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the reciprocal of 3 3/7
    8·2 answers
  • Which of the following sample sizes for a large number of samples taken from a population will result in the sample means most c
    11·2 answers
  • Suppose a biologist studying the mechanical limitations of growth among different species of tulips monitors a national preserve
    6·1 answer
  • Here are the fuel efficiencies (in mpg) of 12 new cars . 28, 14, 48, 22, 14, 18, 52, 36, 32, 20, 12, 55 What is the percentage o
    13·2 answers
  • Find the odds for and the odds against the event rolling a fair die and getting a 4, a 2, or a 1.
    15·1 answer
  • Chase is campaigning for class president and plans to distribute some campaign materials: 8 flyers and 12 buttons. He wants each
    5·1 answer
  • Regular quadrilateral pyramid with base edge b=55mm and lateral edge l=7 cm. Find the sum of all edges
    5·1 answer
  • What is the equation in standard form of the line y = 19x + 5?<br> i am doing a test. thank you.
    10·1 answer
  • Is x-10 a factor of f(x)=5x^3+60x^2+109x+90
    7·1 answer
  • (x+4)+(x+7)=81
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!