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SCORPION-xisa [38]
3 years ago
10

If Jane has 3 3/4 dozen boxes of envelopes, and she ordered 11 1/2 dozen more, how many dozen boxes will she have in all?

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0

Answer:  The correct option is (C) 15\dfrac{1}{4}.

Step-by-step explanation:  Given that Jane has 3\dfrac{3}{4} dozen boxes of envelopes and she ordered 11\dfrac{1}{2} dozen more.

We are to find the total dozen of boxes that Jane will have.

The total dozen of boxes that Jane will have is equal to the sum of dozen of boxes she has now and the dozen of boxes she has ordered.

Therefore, the total dozen of boxes Jane will have is given y

3\dfrac{3}{4}+11\dfrac{1}{2}\\\\\\=\dfrac{15}{4}+\dfrac{23}{2}\\\\\\=\dfrac{15+46}{4}\\\\\\=\dfrac{61}{4}\\\\\\=15\dfrac{1}{4}.

Thus, the total dozen of boxes that Jane will have is 15\dfrac{1}{4}.

Option (C) is correct.

Debora [2.8K]3 years ago
3 0
Hi there:-)

She has=3+3/4=15/4
She ordered=11+1/2=23/2
Now how many she has in all
(15/4)+(23/2)=15 1/4 ...answer

15 1/4 means 15+1/4=15.25

Hope it helps
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Solve and graph the compound inequalities. (You don’t need to graph it on a line plot but if you could that would be great!)
lidiya [134]

Part A

-12 < 5x - 2 < 13\\\\-12+2 < 5x - 2+2 < 13+2 \ \text{ ... add 2 to all sides}\\\\-10 < 5x  < 15\\\\-10/5 < 5x/5  < 15/5 \ \text{ ... divide all sides by 5 to isolate x}\\\\-2 < x  < 3\\\\

To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.

See figure 1 below.

===============================================

Part B

Solve the first inequality to get

3x < -9\\\\3x/3 < -9/3\\\\x < -3\\\\

Now solve the second inequality

2x \ge x+1\\\\2x-x \ge x+1-x\\\\x \ge 1\\\\

We have x < -3 \ \text{ or } \ x \ge 1

The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.

See figure 2 below.

4 0
2 years ago
I’m very confused please explain how to answer #1 with the info provided
ANEK [815]

Answer:

The population in 2039 would be;

117,726

<em>Note</em><em>: this value can be confirmed by using the spreadsheet to extrapolate values.</em>

Explanation:

Given that the population in 2019 was;

103,126

And the population in 2020 was;

103,856

The population growth can be modeled with a linear equation;

y=mx+b

The slope m is given as;

m=730

And b would be the value of y at x=0.

where x is the number of years after 2019;

b=103,126

the model can then be written as;

y=730x+103,126

At year 2039, x would be;

x=2039-2019=20

substituting the value of x into the model;

\begin{gathered} y=730(20)+103,126 \\ y=117,726 \end{gathered}

Therefore, the population in 2039 would be;

117,726

<em>Note: this value can be confirmed by using the spreadsheet to extrapolate values.</em>

5 0
1 year ago
Help urgent please!!!! Will mark brainlist
viktelen [127]

Answer:

6- yes

9- yes

3- no

7- yes

Step-by-step explanation:

Greater than or equal to answers will work!

6*3= 18 which is equal to 18

9*3= 27 which is greater than 18

3*3=9 which is less than 18

7*3=21 which is greater than 18

6 0
3 years ago
Read 2 more answers
Joelle is laying pipe for a sprinkler system before he plants his lawn. the lawn is a rectangle, 15 feet long and 8 feet wide. h
SashulF [63]
\sqrt{15^2+8^2}
\sqrt{225+64}
\sqrt{289}
17 feet

Also: 8-15-17 is a <span>Pythagorean triple, so you can just use that.</span>
6 0
3 years ago
Christian is starting his own business and last week it cost him $10.38 to ship 6 pounds of merchandise to his customers. His bu
Lapatulllka [165]

Answer:

34.20

Step-by-step explanation:

Because 10.38/6=1.78 1.78*20=34.20

5 0
3 years ago
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