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
Dafna1 [17]
3 years ago
9

i need with this math problem. I am confused on how to do it. If you could help me it would be great. There are 2 parts to this

problem. I need help with both problems. 

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0
She took a total of 60 minutes
she answered both mulitiple choice and extended response in the total time which is 60 minutes
she took 2 minutes on rach multiple choice question and 6 minutes for the extended response
let x=number of multiple choice questions
let y=number of extended response questions
we can deduce that
total time =x*2+y*6
60=2x+6y
also we can deduce
20=x+y
since 20 ia the sum of multiple choice and extended response
for part 2 we just solve the system of equations
60=2x+6y
20=x +y
lets multiply the second equation by 2 so we can get rid of x
60=2x+6y
40=2x+2y
subtracting the two equations from each other to yields
20=0 +4y
y=5
to get x we substitute in one of the equations we derived from question 1
x+y=20
substituting y for its value we get
x+5=20
x=15
You might be interested in
Also need help on this
Ira Lisetskai [31]
Answer is 0.5
-2 divided by -4 equals 0.5
and same thing for the rest of the equation.
8 0
3 years ago
Read 2 more answers
F(x) =5x^2-20x+3 how to find minimum
Leya [2.2K]

Answer:

(2,-17) should be the minimum.

Step-by-step explanation:

The minimum of a quadratic function occurs at x=-\frac{b}{2a} . If a is positive, the minimum value of the function is f(-\frac{b}{2a})

f_{min}x=ax^2+bx+c occurs at x=-\frac{b}{2a}

Find the value of x=-\frac{b}{2a}

x = 2

evaluate f(2).

replace the variable x with 2 in the expression.

f(2)=5(2)^2-20(2)+3

simplify the result.

f(2)=5(4)-20(2)+3

f(2)=20-40+3

f(2)=-17

The final answer is -17

Use the x and y values to find where the minimum occurs.

HOPE THIS HELPS!

3 0
3 years ago
What is 1.06 as a mixed number in simplest form?
Maru [420]
Okay so you have the question What is 1.06 as a mixed number in simplest form?
So, let us begin okay so 1.06  = 106/100 which then we will simplify to 53/50 and then you can simplify it one more time all the way down to it's simplest form of 1 3/50

Hope i helped
Cheers,
Belive1234


3 0
3 years ago
Read 2 more answers
A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spe
Liula [17]

Answer:

Equation: 8.5t+6.5=57.5

Solution: t=6

Step-by-step explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

8.5t

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

8.5t+6.5

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

8.5t+6.5=57.5

Finally, you can solve for "t" in order to find the solution of the equation. This is:

8.5t=57.5-6.5\\\\t=\frac{51}{8.5}\\\\t=6

3 0
3 years ago
Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 6 f(x) = (x 8)2 6 f(x) = (x 8)2 – 6 f(
hjlf

Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:

f(x) = (x - 8)² - 6.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence <u>h = 8, k = -6 and considering a = 1</u> the equation is given as follows:

f(x) = (x - 8)² - 6.

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967

#SPJ4

7 0
2 years ago
Other questions:
  • In Lucille’s class, 35% of the students have blond hair. There are 20 students in the class. How many students have blond hair.
    5·2 answers
  • Find the reference angle of -455 degrees
    12·1 answer
  • What is 6.058 rounded to the nearest hundredth
    5·1 answer
  • Nfbfjfbfjdbdjdbejdbejd
    9·1 answer
  • Graph the solution set for this -6x-3y&lt;-18
    11·1 answer
  • What is the parent function of the graph?
    14·2 answers
  • ANSWER THIS PLZZZZZZ
    11·2 answers
  • -8(y + 5) = -8y - 40 TRUE or FALSE
    5·1 answer
  • HEEEEEELLLLLLLLPPPPPPPP! Plz
    14·2 answers
  • What is the equation of the blue line?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!