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
Mama L [17]
3 years ago
8

3 questions 30 points

Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0

<u>Question 12</u>

The unknown number is: x

The question tells us that 8 fewer than a  number ( or x ) is at least 20.

The "8 fewer than a number" can also said like:   " a number minus 8 is ...)

So we know that the first part of the answer is: x - 8

For the second part, it tells us that the number minus 8  is at least 20. This can also be said like:  a number minus 8 is 20 or more (greater).

Since it is " 20 or more",  we use the  "greater than or equal to sign", which is: ≥

Answer:

Now that we know this we can say that the answer is;

x - 8 ≥ 20             (The second option)

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

<u>Question 13</u>

So the inequality we are given to solve is:   2 < 3x -1 ≤ 5

We want to get the "3x" by itself. We do this by adding 1 to both the 2, and the 5.   Adding a 1 cancels out the -1 in  "3x - 1"   ( -1 + 1 = 0)

Alright lets do this:

2 + 1 < 3x -1 + 1 ≤ 5 + 1   =  3 < 3x ≤ 6

This is not yet finished, since we have 3x, rather than just x.  To get just x, we divide all the sides by 3 - because 3x ÷ 3 = x :


3 ÷ 3 < 3x ÷ 3 ≤ 6 ÷ 3       =   1 < x ≤ 2          (<em>3 ÷ 3 = 1,   3x ÷ 3 = x,  and 6 ÷ 3 = 2)</em>

Answer:  1 < x ≤ 2      (The first option)

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

Question 15

The equation is:  [2x - 1] = 3

The [    ]  tells us that there are two possible answers. These are:

2x -1 = 3            or       2x -1 = -3     (negative 3)

First lets solve the one with positive three:

2x -1 = 3    ( add 1 to both sides to cancel out the -1)

2x = 4     (divide both sides by 2 to get just x)

1 < x ≤ 2

other answer with negative 3:

2x -1 = -3       ( add 1 to both sides)

2x = - 2          (  -3 + 1 = -2)

x = -1             (divide both sides by two)

Answer: So the answer is either:   x = -1   <u><em>or</em></u><em> </em><em>  </em>x = 2      (Option 2)

pantera1 [17]3 years ago
5 0
The inequality that represents the sentence is:
8-x>_20
You might be interested in
Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction an
djverab [1.8K]

Answer (x represents the first direction and the y represents the second direction):

  1. (x - 3) × (y + 5)
  2. New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroom

I hope this helps!

3 0
3 years ago
Pringles is planning their sales force spending for the next year. Each of their sales people spends about 3400 hours annually a
LUCKY_DIMON [66]

Answer:

459 sales people.

Step-by-step explanation

Time per call (t) = 45 min = 0.75 h

Hours per sales person (H) = 3,400 hours

Number of customers (n) = 40,000 customers

Call frequency (f)= 52 calls per year

The total number of sales people (S) needed, is given by the total time spent on calls for the year, divided by the amount of hours each person spends on sale:

S=\frac{40,000*0.75*52}{3,400}\\ S=458.8

Rounding up to the next whole person, Pringles needs 459 sales people.

3 0
3 years ago
Read 2 more answers
Recall that the volume of a rectangular solid (a box) is given by V=L-W-H. If a particular rectangular solid has a height of 2.
Jlenok [28]

Answer:

nb bhvghvghvhjhkj

Step-by-step explanation:

bjnbhv hgv

3 0
3 years ago
Last week Sarah lost' 6.25 pounds but this week she gained 4.6 pounds. What was her overall weight change?​
marissa [1.9K]

Answer:

10.85

Step-by-step explanation:

hope its right :)

6 0
3 years ago
HELP ASAP!!!!!!!!!!!!!! WILL MARK BRAINLIEST PICTURES BELOW!!!!!!!!!!!!!!!!!!!!!!!!!
harkovskaia [24]

5. 6√3

6.  x = 10√3     y = 30

7. x = 34    y = 17√3

8. 30

9. SinA = 3/5       CosA = 4/5

10. Tan20 = 9/x

Multiply both sides by x to get it on the other side

x(tan20) = 9

Divide 9 by tan20 to get x.

x = 9/tan20

x = 24.7



4 0
3 years ago
Other questions:
  • Evaluate v(x) = 12 - 2x - 5 when x = -2,0. and 5.
    11·1 answer
  • How to solve this linear equation 2/3y=-12
    13·1 answer
  • Simplify √7 over 2 √11
    9·1 answer
  • A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing m
    7·2 answers
  • Sid is 300$ in debt. He needs to get the debt down to no more than 100$ within the next 8 months. If he pays the same amount eac
    14·1 answer
  • I need help with this question???
    6·1 answer
  • Sup guys i was wondering if i could get some help
    6·1 answer
  • Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row c
    7·1 answer
  • Find the length of DF
    11·1 answer
  • Please show the steps​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!