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
daser333 [38]
3 years ago
11

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

n set of this problem?
Mathematics
2 answers:
podryga [215]3 years ago
6 0

Answer:

x>16

Step-by-step explanation:

Let x be the unknown number

Given that 9 and one half less than 4 and one half times x is > 62.5

In algebraic terms this can be written as

4.5x-9.5>62.5

Add 9.5 to both the sides

We get

4.5 x> 72

Divide by 4.5

x>72/4.5 = 16

Hence answer is

x>16

kolbaska11 [484]3 years ago
4 0
4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==
You might be interested in
If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10​
Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

We need to find the value of a.

The LCM of (2+i) and (3+i)  is (2+i)(3+i)

=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}

Now rationalize the denominator by multiplying by 5-5i/5-5i

=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}

We are given

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

Now after solving we have:

\frac{1}{10}-\frac{i}{10}=a+bi

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0
3 years ago
A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each
Marysya12 [62]
Answer: - 0.28


Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).


2) Sample space:

Sum              Points awarded
    
1+ 1 = 2              +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7             -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6


2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points


3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
4 0
3 years ago
Read 2 more answers
What ratio is equivalent to the ratio 14:7 A 1:7 B2:7 C2:1
svp [43]

Answer:

c 2:1

Step-by-step explanation:

If you simplify 14:7 it is 2:1  (divide by 7)

5 0
3 years ago
Read 2 more answers
Of the total amount of available water on the earth, what percent is usable?
prohojiy [21]
Only 20%of earths water is useable
8 0
3 years ago
Vectorcardiography Suppose the voltage vector of a healthy heart is given by [0.3, 20.2]. Cardiac abnormalities result in change
Alexeev081 [22]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

7 0
3 years ago
Other questions:
  • Which equation shows the point-slope form of the line that passes through (4, 1/3) and has a slope of 3/4?
    9·1 answer
  • You have 7 folders and you want to put the same number of pages in each folder if you have a total of pages how many pages will
    10·1 answer
  • What is the value of x in the equation Negative two-thirds x + 9 = four-thirds x minus 3?
    7·2 answers
  • Determine the number of solutions that exist to the equation below 8(j-4)=2(4j-16)
    13·1 answer
  • Solve the equation I= prt for t <br><br> A- t= ipr<br> B- t=I/pr<br> C- t= pr/I
    7·1 answer
  • If Logan(3)=5, what is the value of a^5?​
    13·2 answers
  • This rectangle represents the base of a rectangular prism. The height of the rectangular prism is 13 ft.
    10·2 answers
  • HELP i have no clue how to do this hahah
    7·1 answer
  • The slope of the line that passes through points (3,−2) and (3,10) is
    6·1 answer
  • Which of the following portions are true
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!