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
KiRa [710]
3 years ago
8

Mrs. Allen a high school teacht is grading quizzes and tests this weekend she has at most 4 hours or 240 minutes to spend gradin

g and she would like to get at least 60 quizzes and tests graded on average it takes her 3 minutes to grade each quiz and 8 minutes to grade each test
Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

(55,9)

Step-by-step explanation:

Write one inequality to represent the number of quizzes and tests Mrs. Allen must grade and one inequality to represent the number of minutes it will take her to grade the quizzes and tests.

Mrs. Allen must grade at least 60 quizzes and tests, so the sum of x and y must be greater than or equal to 60.

On average, it takes Mrs. Allen 3 minutes to grade each quiz and 8 minutes to grade each test. So, the total number of minutes it takes her to grade x quizzes is 3x minutes, and the total number of minutes it takes her to grade y tests is 8y minutes. Since she has at most 240 minutes to spend grading, the sum of 3x and 8y must be less than or equal to 240.

The solution set to the system of these linear inequalities represents the numbers of quizzes and tests Mrs. Allen can grade this weekend.

Now, consider each of the coordinate points. In order to be a solution to this system of inequalities, both inequalities must be satisfied by the values of x and y. When x = 55 and y = 9, both inequalities are satisfied. To confirm, substitute these values of x and y into the first inequality.

Now substitute the values into the second inequality.

Therefore, the only point that lies in the solution set is (55,9).

You might be interested in
Can you please help ni
Ainat [17]

Answer:

0.0833... inches longer or 1/12

Step-by-step explanation:

7/12=0.583

1/2 but multiplied by 6 is 6/12

so 7/12-6/12=1/12 longer or 0.0833-

7 0
2 years ago
During the biggest drop of the mean streak roller coasters
Sauron [17]

what is your question lol

7 0
3 years ago
4y - 7 + 2y = -3 (y - 1 ) -1
katen-ka-za [31]

Step-by-step explanation:

4y - 7 +2y = -3y + 3 - 1

4y -7 +2y' = -3y + 2

4y+2y+3y = 2+7

9 y = 9

y. = 1

6 0
3 years ago
Read 2 more answers
I need help with this question please?! I'm having a hard time answering it!
Darina [25.2K]

Answer:

£0.40

Step-by-step explanation:

Divide £40 by £3.30 to find the number she can buy

£40 ÷ £3.30 = 12.1212..

That is she can buy 12 light bulbs

cost = 12 × £3.30 = £39.60

change = £40 - £39.60 = £0.40

4 0
2 years ago
of the students in Ms. Danver's class, 6 walk to school. This represents 30% of her students.How many students are in Ms. Danver
Andrews [41]
21 students because if 6 represents 30% u add 6 two more time which equals 18 and 90% then u add 3 more because it is half of 6. when u add 3 more u will get 21 and 100%
8 0
3 years ago
Read 2 more answers
Other questions:
  • Mai walked 1/8 of a 30-mile walking trail.How many miles did mai walk
    9·1 answer
  • Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
    6·1 answer
  • Is this right ? Number 6
    14·1 answer
  • What is the slope of a line that passes through (1,77) and (3,40)
    14·1 answer
  • Mike needs $1551 each month for bills
    8·1 answer
  • One January morning the temperature was -8°F. Later, the temperature rose 22°F to the high temperature for the day. What was the
    12·1 answer
  • Will someone please help asappp
    8·2 answers
  • Pls help ill give brainlsit if u answer this
    5·2 answers
  • What are the x-intercepts of the graph of y = x2 + 7x + 10?
    11·1 answer
  • In the plane figure, only downward motion (movement leaving you relatively lower than where you were) is allowed. Find the total
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!