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
pantera1 [17]
3 years ago
12

Can someone check if I have the right answers?

Mathematics
1 answer:
yuradex [85]3 years ago
7 0

Answer:

3. a ≤ 7, a > 3; <-------------7 - - - - - - - 3------------->

4. d ≤ 10, d < 9; <-----------------------10---9- - - - - - - - - ->

5. 8t ≤ 360, t ≤45

Step-by-step explanation:

3. 6a ≤ 42 < divide both sides by 6 to get a by itself

a ≤ 7 < this is correct

a + 4 > 7 < subtract 4 from both sides to isolate a

a > 3 this is also correct!

now to graph these inequalities on the number line, we will do them one at a time

a ≤ 7, you would put a closed circle (or a bracket) on 7, as the answer is included in the solution, and you would shade to the left of 7, as <em>a</em> has to be <em>less than or equal to 7</em> in order for the inequality to be true

< ----------7 - - - - >

now for a > 3,you would shade numbers to the right of 3, as <em>a </em>has to be greater<em> than 3</em> in order for the inequality to be true. you would put an open circle (or a parentheses) on the number 3, as its not included in the solution as shown by the inequality symbol

< - - - - 3--------->

together on a number line, both inequalities would look like the following:

<-------------7 - - - - - - - 3------------->

the middle section is not included in either of the inequalities

4. d - 8 ≤ 2 < add 8 to both sides

d ≤ 10 < in your original answer, you forgot to add 8 to the right side of the equation, remember that whatever you do to the left you also do to the right side

on a number line, we would shade to the left of 10, as any answer for d would have to be <em>less than or equal to</em><em> </em>10 in order for the inequality to be true. again, a closed circle (or bracket) would be on the number 10 as it is included in the solution

< ----------10 - - - - >

9d < 81 <-- divide both sides by 9 to get d alone

d < 9 < this is correct in your original answer

on a number line, we would shade to the left of 9, as any number inserted into the inequality for d has to be <em>less than </em>9 in order for the inequality to be true. we would put an open circle (or parentheses) on the number 9 because it is not included in the solution

< ----------9 - - - - >

together on a number line, both terms would look like this:

<-----------------------10---9- - - - - - - - - ->

since both are being shaded to the left, both would have a line going to the left

5. banquet room holds 360 people, with 8 people per table (t)

8t ≤ 360 < this is the correct inequality, as we cannot exceed 360 people in the room, and we can seat 8 people at each table

now we divide both sides by 8 in the inequality to get t alone

t ≤ 45

so there can only be 45 tables or less in the entire banquet in order to not exceed the 360 person capacity

on a number line the inequality looks like the following:

< --------45 - - - >

45 is included in the solution as we can have 45 tables for 8 people each, and we would be at max capacity in the banquet. 45 on the number line would have a closed circle (or bracket) on the number itself

hope this helped!

You might be interested in
I need help someone please
IgorLugansk [536]

Answer: The answers are in the steps.

Step-by-step explanation:

A) 4 \frac{1}{2} =  9/2 * 13 =  117/2

B ) 13 ( 58  + 1/2)  

= 754  + 6.5

= 760.5

7 0
3 years ago
Find the missing lengths in the given triangle​
katovenus [111]
90° becuase 60+30 = 90 and 90+90=180
3 0
3 years ago
Find two consecutive integers whose product is 5 less than the square of the smaller number
S_A_V [24]
<span>
The product of -5 and -4 is 20
The square of the smaller number, -5, is 25.
The product, 20, is indeed 5 less than 25, the square of the smaller number.</span>
3 0
3 years ago
20PTS Question On Pic Thx
harina [27]

Answer:

  (a)  $3800

  (b)  (a) -- April to May

Step-by-step explanation:

<h3>(a)</h3>

The least amount is found at the lowest point on the graph. That point is in May. It is on the line between 3700 and 3900, so the amount is $3800.

The least donation amount is a month is $3800.

__

<h3>(b)</h3>

The greatest month-to-month decrease is found where the line on the graph has the steepest negative slope. There are two segments with negative slope:

  • April - May (decrease of $500)
  • June - July (decrease of $100)

The decrease from April to May is by far the largest of these two decreases.

The greatest decrease occurred April to May.

6 0
2 years ago
Read 2 more answers
Dont know the answer pls help :(
Luba_88 [7]

Answer:

x=3

Step-by-step explanation:

7x-3=18

7x=18+3

7x=21

x=3

4 0
3 years ago
Other questions:
  • 2) Miss Smith buys 10 pounds of cat food every 4 weeks. If she continues to buy the same amount of cat food
    8·2 answers
  • Can someone Help me pls
    6·2 answers
  • A bacterium cell splits into 2 cells every hour. Write and evaluate an exponential expression to find how many cells there will
    7·1 answer
  • which is a better deal on a $50 item. 45% off original price or 30% off, plus an additional 20% at the register?
    9·1 answer
  • Y= (x-9) (x+3)
    10·1 answer
  • What is the sign of−1.69+(−1.69)
    7·1 answer
  • 1:
    15·1 answer
  • Write an equation of the function
    14·1 answer
  • What is the distance between the points -1,-3) and (-1,43)? I think I'll die if I don't get the answer soon​
    8·2 answers
  • Find the length of PF
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!