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
snow_lady [41]
3 years ago
12

24,26 and 28 please. Solve each inequality using the four operations.

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

I'll do problem 24 to get you started

-3a + 5 < -7

-3a + 5-5 < -7-5 ..... subtract 5 from both sides

-3a < -12

-3a/(-3) > -12/(-3) ... see note below

a > 4 is the answer

To graph this, we plot an open circle at 4 on the number line. Shade to the right of the open circle. The open circle tells the reader "do not include this value as part of the solution set".

note: in that step I divide both sides by -3 to fully isolate 'a'. Dividing both sides by a negative number will flip the inequality sign.

You might be interested in
In a math class, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. What is the probability that in a randomly
SashulF [63]

Answer:

P(2FG|3FB) = \frac{605}{7917}

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.To calculate combinations the below  formula is used:

nCr = \frac{n!}{r!(n-r)!}

where n represents the total number of items and r represent the number of items being chosen at a time. The '!' represents factorial function which is the product of all integers equal to and less than the given integer. This can be calculated manually using the formula or by using the nCr function on a scientific calculator.

Thus, the number of ways to select 2 freshmen girls (2FG) and 3 freshmen boys (3FB) can be determined. The number of ways to select 5 students (5S) can be determined in the same way.

2FG = 12C2 = \frac{12!}{2!(12-2)!} = \frac{12!}{2!(10)!} = 66

3FB = 11C3 = \frac{11!}{3!(11-3)!} = \frac{11!}{3!(8)!} = 165

5S = 30C5 = \frac{30!}{5!(30-5)!} = \frac{30!}{5!(25)!} = 142506

The probability of selecting 2 freshmen girls (2FG) and 3 freshmen boys (3FB) when selecting 5 students out of 30 is given as below:

P(2FG|3FB) = \frac{2FG*3FB}{5S} = \frac{66*165}{142506} = \frac{605}{7917}

4 0
3 years ago
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. How many milliliters are in 3 gallons?
IgorC [24]

Answer: 11355ml

Step-by-step explanation: It gives you how many milliliters are in one gallon.

3 0
3 years ago
Read 2 more answers
Given g(x)=-5x-4, solve for x when g (x)=1
zubka84 [21]

Answer:

1 = -5x-4  add 4 to both sides

-5x = 1+4 divide both sides by (-5)

x = -5/5

x= -1

5 0
3 years ago
Sketching lines equations
anygoal [31]

Answer:

Step-by-step explanation:

A few suggestions:

Put the equations in y = mx + b format

create a table.  choose some x and plug that in and solve for y

plot those point.  connect the dots

8 0
3 years ago
5th Grade Math
LUCKY_DIMON [66]
516 is the dividend, 3 is the divisor, 172 would be the quotient.

3 goes into 5 once with a 2 remainder, that 2 turns into 21 because of the 1 in 516 which 3 goes into seven times with a remainder of zero turning into 6, which 3 goes into twice, making the quotient 172.

172 times 3 is 516
6 0
3 years ago
Other questions:
  • What is the answer to this?
    9·1 answer
  • mei’s retirement party costs $8 for every guest she invites. what is the maximum number of guest there can be if mei can afford
    6·1 answer
  • Question18 (5pt)!!!!!!!!!!
    8·1 answer
  • Solve 12^x-2=20 round to the nearest ten-thousandth? help, please!
    6·2 answers
  • If we hummingbird were to get all of his food for me feed her then a 16 ounce nectar feeder could feed about 80 hummingbird a da
    15·1 answer
  • The desk is 1/2 as wide as it is long. If the desk is D meters long, how wide is the desk?
    7·2 answers
  • -x+ x² - 6 what is the answer ​
    12·2 answers
  • PLEASE PLEASE HELP!!
    10·2 answers
  • Pls I need help fast
    6·1 answer
  • Given the function f(x) = -x-5/4x^3, then what is f(-2x)as a simplified<br> polynomial?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!