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
serious [3.7K]
4 years ago
11

Please help.

Mathematics
1 answer:
Artemon [7]4 years ago
7 0
The answer is B) x < 17 25/153.

The first thing we do to solve this equation is rewrite all of the fractions using a common denominator.  The LCD for 2, 4 and 3 is 12:

(12 9/12)x + 24 6/12 < 243 4/12

Subtract 24 6/12 from both sides:
(12 9/12)x + 24 6/12 - 24 6/12 < 243 4/12 - 24 6/12
(12 9/12)x < 218 10/12 (we lack 2/12 from being able to subtract, so we borrow)

Divide both sides by 12 9/12:
(12 9/12)x ÷ (12 9/12) < (218 10/12) ÷ (12 9/12)

Convert both mixed numbers to improper fractions:
x < (2626/12) ÷ (153/12)

Multiply by the reciprocal:
x < (2626/12) × (12/153)
x < 2626/153
x < 17 25/153
You might be interested in
Which one of these numbers is a perfect square 21,15,6,16,27
s344n2d4d5 [400]

Answer:

16

Step-by-step explanation:

4*4

8 0
3 years ago
Read 2 more answers
In ΔDEF, what is sin D, in simplified form?
Igoryamba

Answer: second option.

Step-by-step explanation:

You must apply sin\alpha=\frac{opposite}{hypotenuse}

Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:

opposite=20\\hypotenuse=25

Therefore, when you substitute values, you have:

sinD=\frac{20}{25}

Reduce the fraction, then you obtain:

 sinD=\frac{4}{5}

5 0
4 years ago
Read 2 more answers
What is the perimeter of a regular heptagon with a side length of 9 inches?
jok3333 [9.3K]
What kind of Question is that. That is some real math right there.
6 0
3 years ago
A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

Answer:

The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

s + m = 477

m + 41 = s

There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

(m + 41) + m = 477

Combining like terms on the left side of the equation yields:

2m + 41 = 477

Subtracting 41 from both sides of the equation gives us:

2m = 436

Finally, dividing both sides of the equation by 2 gives us:

m = 218

To solve for the number of sociology textbooks, we can substitute into either of our original equations.

m + 41 = s

(218) + 41 = s

s = 259

Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.

Hope this helps!

6 0
3 years ago
Write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.
Lina20 [59]

Answer:

<h2>y=7x-47</h2>

Step-by-step explanation:

(8,9)=(x1,y1) \\ m=7 \\ y−y1=m(x−x1) \\ y−9=7(x−8)

y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47

8 0
4 years ago
Other questions:
  • You travel between these two mile markers and then find your average speed in miles per hour. Which equation does NOT represent
    13·2 answers
  • Help me!! study island
    13·1 answer
  • What is 20% out of 200
    6·1 answer
  • Factors of -36 that add to 13
    10·1 answer
  • What is the solution to this equation 3(80 - 9x) = x - 96
    7·2 answers
  • Will mark brainiest pls just lmk
    6·2 answers
  • Write an algebraic expression for the situation.
    14·1 answer
  • John and Ndiba each improved their yards by planting rose bushes and geraniums. They bought
    8·1 answer
  • PLEASE HELP QUICK
    15·1 answer
  • Answer questions 1, 7, 8, 9, and 10 pls :)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!