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inessss [21]
3 years ago
10

Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 m

inutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. Write a system of equations that could be used to determine the number of math problems Olivia solved and the number of pages she read. Define the variables that you use to write the system.
Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

Step-by-step explanation:

Let a represent the the number of math problems that Olivia solved.

Let b represent the number of pages she read.

Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. This means that she can solve a math problems in a minutes and read b pages in 1.5b minutes.

Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

a + 1.5b = 30

She completed a total of 22 math problems and pages of reading. This means that

a + b = 22

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Answer:

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6 0
3 years ago
What is the insverse of the function f(x) =2x+1?
goldenfox [79]
F(x) = 2x + 1

To find the inverse of a function you just need to switch the x by y or vice-versa:

-> y = 2x + 1
-> x = 2y + 1

After that you isolate the y again:

-> 2y = x - 1

-> y = (x-1)/2
-> f^-1 (x) = (x-1)/2

Answer:
f^{ - 1} (x) = (x - 1) \div 2
5 0
3 years ago
What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?<br><br> –10<br> –5<br> –3<br> –1
givi [52]

Answer: -1

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

----------------------------------------------------------------------------

Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Hope this helps!! :)

Please let me know if you have any question

8 0
3 years ago
Read 2 more answers
Consider the expression 635 , 943 ÷ 77 635,943÷77. Complete the equation below by estimating the dividend and divisor in the exp
Margarita [4]

Answer:

See below

Step-by-step explanation:

<u>We can estimate the dividend and divisor as follows:</u>

  • 635943 ÷ 77 =
  • 636000 ÷ 80 =
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Estimate is 8000

5 0
3 years ago
Determine if this conjecture is true. If not, give a counterexample.
Pavlova-9 [17]

That would be false. 122 = 144

8 0
3 years ago
Read 2 more answers
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