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2 years ago

Is 9/2 and 4 1/2 equivalent

Mathematics

2 answers:

Vlada [557]2 years ago

4 0

Answer:

Yes.

Step-by-step explanation:

$4 \dfrac 12 = 4+ \dfrac 12 = \dfrac{8+1}2 = \dfrac 92$

Stells [14]2 years ago

3 0

Answer:

Yes, they are equivalent

Step-by-step explanation:

Equivalent fractions are equal in value to each other. The only difference is that 9/2 is an improper fraction while 4 1/2 is a mixed number. In decimal, they both equate to 4.5

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You put the names of all the students in your class in a paper bag. There are 19 boys and 12 girls. If you draw a name at random

Rom4ik [11]

Answer:

19 to 12 is the answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Given the triangle below, what is the length of the third side, rounded to the nearest whole number?

Leno4ka [110]

Answer:

Step-by-step explanation:

You need the Law of Cosines for this, namely:

$x^2=21^2+14^2-2(21)(14)cos58$ where x is the missing side.

$x^2=441+196-311.5925$ and

$x^2=325.4075$ so

x = 18.0 or just 18

7 0

3 years ago

Please help me with this!!

Aleonysh [2.5K]

The perimeter is 1/2 the perimeter of ABCD because the scale factor is 1/2. It would be 10 units.

7 0

3 years ago

Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

4 years ago

A banner is in the shape of a right triangle. the area is 63 inches. The height of the banner is 4 in less than twice the width

Blizzard [7]

Area=1/2 times base times height
note:bh=base times height

a=1/2bh
b=width

h=-4+2w
h=2w-4
subsitute
a=1/2w(2w-4)
a=1/2(2s^2-4w)
a=w^2-2w
a=63
63=w^2-2w
subtract 63 from both sdies
0=w^2-2w-63
factor
find what 2 numbers multiply to get -63 and add to get -2
the numbers are -9 and 7
so
0=(w-9)(w+7)
if xy=0 then x and/or y=0

so
w-9=0
w+7=0

solve each
w-9=0
add 9 to both sdies
w=9

w+7=0
subtract 7 from both sides
w=-7
width cannot be negative so this can be discarded

width=9

subsitute
l=2w-4
l=2(9)-4
l=18-4
l=14

legnth=14 in
width/base=9 in

5 0

3 years ago

Is 9/2 and 4 1/2 equivalent​

Is 9/2 and 4 1/2 equivalent