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Law Incorporation [45]

3 years ago

13

Ryan has a shelf that is 64 over 3 inches wide. How many magazines can Ryan arrange on the shelf if each magazine is 4 over 3 in

ches thick?

2 answers:

Olenka [21]3 years ago

6 0

16 since each 4/3 is the width of each book you can do 64 divided by 4 in which you get 16

Zinaida [17]3 years ago

5 0

He can fit 16 magazines on each shelf

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which equation represents the line that passes through the point (-2,2) and is parallel to y=1/2x + 8

Nataliya [291]

The first thing is the slope
y = 1/2 x + b is the new line. Now we must solve for b
2 = 1/2 (-2) + b
2 = -1 + b
3 = b
The new line is
y = 1/2 x +3

5 0

2 years ago

What is the common ratio between successive terms in the sequence<br> 2,4,8,-16, 32, 64,

marysya [2.9K]

Answer: The sequence does not have common ratio.

Step-by-step explanation:

By definition, a sequence with a constant ratio (common ratio) between terms is called a "Geometric sequence". In order to find the common ratio, it is necessary to divide any term in the sequence by the previous term.

In this case, given the sequence:

$2,4,8,-16, 32, 64,$

We get:

$4\div2=2\\\\8\div4=2\\\\-16\div8=-2\\\\32\div(-16)=-2\\\\64\div32=2$

Since the ratios between the terms are not constant, we can conclude that <em>the sequence does not have common ratio.</em>

3 0

3 years ago

Read 2 more answers

Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He curre

Semenov [28]

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

<u>Currently:</u>

Number of pushups = 25

Number of squats = x

Total number = 25 + x

<u>After increase:</u>

Number of pishups $=25\cdot (1+0.2)=1.2\cdot 25=30$

Number of squats $=x\cdot (1+0.2)=1.2x$

Total number $=30+1.2x$

If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

$(30+1.2x)-(25+x)=13\\ \\30+1.2x-25-x=13\\ \\1.2x-x=13-30+25\\ \\0.2x=8\\ \\2x=80\\ \\x=40$

6 0

2 years ago

HELP please!!<br> “Find the volume of the sphere rounded to the nearest hundredth

zvonat [6]

Answer:

904.32 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.

5 0

2 years ago

A right cylindrical container perfectly holds 5 tennis balls placed one above the other. The radius of each ball is 3.35 centime

mash [69]

Answer: 394 cm3

Step-by-step explanation:

volume of cylinder - volume of 5 balls=extra volume

voc=πr2h=1181.09

pi=22/7

r=3.35

h= 5 x diameter of ball=33.5 (diameter = 2r)

vo5b=5(4/3πr3)=787.4

r=3.35

ev=voc-vo5b

=393.69

ROUND TO 394

5 0

2 years ago