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Liono4ka [1.6K]
3 years ago
15

Find the first two expressions in the sequence ___, ___, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...

Mathematics
1 answer:
Gwar [14]3 years ago
7 0
You can see that you add 1x to each expression in the sequence, which means that the first expression will be 2x, and the second one 3x. You also add 2 to each x, which means that the first expression will be 1, and the second one 2.
2x+1, 3x+3, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13....
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An interior designer purchased 4 1/2 yard
KiRa [710]
Well, is just a matter of addition, namely 4  1/2 + 6  2/3 + 9  1/4.

now, let's change all mixed fractions firstly, to "improper" fractions, and proceed from there,

\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+}{1}\implies \stackrel{improper}{\cfrac{9}{2}}
\\\\\\
\stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}}
\\\\\\
\stackrel{mixed}{9\frac{1}{4}}\implies \cfrac{9\cdot 4+1}{}\implies \stackrel{improper}{\cfrac{37}{4}}\\\\
-------------------------------\\\\

\bf \cfrac{9}{2}+\cfrac{20}{3}+\cfrac{37}{4}\impliedby \textit{our LCD is clearly \underline{12}}\implies \cfrac{(6)9+(4)20+(3)37}{12}
\\\\\\
\cfrac{245}{12}\implies 20\frac{5}{12}
7 0
4 years ago
The circumference of a circular field is 216.66 yards. What is the diameter of the field? Use 3.14 for it and do not round your
Levart [38]

Answer:

69 yards

Step-by-step explanation:

The circumference is  =\pi D

The diameter is  \frac{C}{\pi }

\frac{216.66}{3.14}=69yds

If the diameter is 69 then then the radius is 34.5

r= \frac{d}{2} \\or\\r= d*\frac{1}{2}

Hope this helps you!

Have a nice day!

3 0
4 years ago
Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wra
Delvig [45]
<span>Together they wrap 14+12 = 26 boxes per hour. 
t hours × 26 boxes/hour = 65 boxes 

C</span><span>
</span>
7 0
4 years ago
Read 2 more answers
The 2in 21 represents how many time the value of the 2in 82
Dafna11 [192]
10 times the value because the 2 in 21 is 2 tens which is 20 and the two in 82 is 2 ones so just 2. 2 times 10 is 20 so your answer is 20 times the value.
4 0
3 years ago
A pyramid has a square base that measures 20 inches on each side and 30 inches high. Find the volume of the pyramid.
irinina [24]

The volume of pyramid is 4000 inch³.

<h3>What is Volume?</h3>

Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Volume is sometimes referred to as capacity.

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.

Given:

base = 20 inches

height = 30 inches

Now, volume of pyramid

Volume = a²h/3

Volume = 20 x 20 x 30 /3

Volume = 400 x 10

Volume = 4000 inch³

Hence, the volume of pyramid is 4000 inch³.

Learn more about volume of pyramid here:

brainly.com/question/1578538

#SPJ1

7 0
2 years ago
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