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liubo4ka [24]
4 years ago
9

Mary bought more than 72 pencils to distribute to children at an orphanage. She packs these pencils in gift boxes. If she packs

4 pencils each into x gift boxes, the inequality that represents this situation is?. The simplified form of the inequality is ?
Mathematics
1 answer:
bixtya [17]4 years ago
5 0
For this case, the first thing we must do is define a variable.
 We have then:
 x: number of gift boxes.
 We then have to write the inequation that models the problem:
 "Mary bought more than 72 pencils"
 "she packs 4 pencils each into x gift boxes"
 We have then:
 4x \geq 72
 Simplifying we have:
 x \geq 72/4
 x \geq 18
 Answer:
 
the inequality that represents this situation is:
 4x \geq 72
 The simplified form of the inequality is:
 
x  \geq 18
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The difference of the squares of two positive consecutive even integers is 84. Find the integers.
ziro4ka [17]

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

(x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20

3 0
3 years ago
The value for b in y=mx+b,directly from the table w/out drawing a graph or going any calculations ?
WARRIOR [948]
The value of b is the y intercept or when the line crosses the y axis
this only happens when the value of x=0
so just look for the ordered pair in the table with x=0 and y=b
so if you had a table and saw
(0,3)
(x,y)
so the point where x=0 is at point (0,3) y=3
therefor b=3

basically look for the matching y value for when x=0
5 0
4 years ago
Read 2 more answers
Could anyone give me the answer to this question?
love history [14]

Answer:

36

Step-by-step explanation:

\angle AOC is made up of s + r, and since r is \frac{3}{5} of \angle AOC we know r must be the remaining \frac{2}{5} of \angle AOC.

We can solve for \angle AOC by using this equation:

\frac{2}{5}\angle AOC = 24\\(\frac{2}{5}\angle AOC)\frac{5}{2} = (24)\frac{5}{2}\\ \boxed{\angle AOC = 60}

1. 2 fifths of  \angle AOC is 24

2. multiply both sides by \frac{5}{2} to isolate \angle AOC

3. \angle AOC is 60°

We can now solve for r

r = \frac{3}{5}\angle AOC\\r = \frac{3}{5}(60)\\\boxed{r = 36}

1. the equation the problem gave us

2. substitute \angle AOC for 60 (we solved for it before)

3. r is 36°

4 0
2 years ago
Can u help me please
IgorC [24]
I hope this helps
16) 15
a)  3 red, 5 yellow and 6 blue
b) GFC is 15, 45/15= 3, 75/15=5, 90/15=6
6 0
3 years ago
HELP I DON'T UNDERSTAND
Rashid [163]
17 for #3 because you just count the outside boxes of the square
8 0
3 years ago
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