mary has 50 earring boxes. the boxes measure 1 inch on each side. how many rectangular prisms, each with a different sized base, could mary make by stacking all of the earring boxes?

Answers

Answer 1
Answer: Given:
50 earring boxes
1 inch on each side

Volume = a³ = (1 in)³ = 1 in³
1 in³ x 50 boxes = 50 in³

Let us do a prime factorization:
50 ÷ 2 = 25
25 ÷ 5 = 5

1 x 2 x 5 x 5

probable dimensions of the rectangular prisms

height x width x length
1 x 1 x 50
1 x 2 x 25
1 x 5 x 10

The can make 3 rectangular prisms based on the probable dimension.
 

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sonja and jake just got married. they received $4,500 in gift money and deposited it into a savings account that pays 1.85% simple interest.How much will they have in savings after 3 years?

Answers

The total amount in savings after 3 years is $ 4749.75

Solution:

Sonia and Jake received $4,500 in gift money and deposited it into a savings account that pays 1.85% simple interest

To find: Amount after 3 years

The total amount after 3 years is given as:

total amount = principal amount + simple interest

The simple interest is given as:

\text {simple interest }=\frac{\text { principal } * \text { number of years } * \text {rate of interest }}{100}

Here principal amount = $ 4500

Rate of Interest = 1.85%

Number of years = 3 years

Substituting the above values in formula we get,

\text { simple interest }=(4500 * 1.85 * 3)/(100)

\text {simple interest }=45 * 1.85 * 3=249.75

Thus simple interest = $ 249.75

total amount = principal amount + simple interest

total amount = 4500 + 249.75

total amount = $ 4749.75

Thus the total amount after 3 years is $ 4749.75

Can I get help on this pleaseeee

Answers

Answer:

I would say the value of x

would be 9 Hope this helps:)

-3x^{2}-21x-54 what are the zeros? (Solutions)

Answers

the only way to solve if it is equal to something
assuming that the teacher wanted you to make it equal to zero do
0=-3x^2-21x-54

remember if we can do
xy=0 then assume x and y=0

so factor

0=-3x^2-21x-54
undistribute the -3
0=-3(x^2+7x+18)
remember 0 times anything=0 so
x^2+7x+18 must equal zero
use quadratice formula which is

if you have
ax^2+bx+c=0 then
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

x^2+7x+18
a=1
b=7
c=18

x=\frac{-7+/- \sqrt{7^(2)-4(1)(18)} }{2(1)}
x=(-7+/- √(49-72) )/(2)
x=(-7+/- √(-23) )/(2)
i=√-1
x=(-7+/- i√(23) )/(2)



the zerose would be
x=(-7+ i√(23) )/(2) or (-7- i√(23) )/(2)




Traveled 33 miles which is 55% of trip, what is total

Answers

60 miles would be the total miles in the trip
60. I set it up as a proportion. 33/w=55x 3300 divided by 55 is 60

A traveller found himself in a strange country where the temperature rose sharply during the day and then fell again at night and made his watch act erratically. He noticed that his watch was 30 seconds fast at nightfall but at dawn it had lost 20 seconds. On the morning of May 1st the watch showed the right time.By which date was it five minutes fast?

Answers


Wow !  This could be a real limbic tickler.
Let's try to find an easy way to do it . . .

If the watch is 30 seconds ahead at bedtime, and then it loses 20 of them
overnight, then from one morning to the next morning, it pulls ahead by
10 seconds.

So every morning, the watch is 10 seconds farther ahead than it was on
the previous morning.

That's the last time you have to worry about what it reads at night, or
what it loses overnight !  Just remember . . . 10 seconds farther ahead
every morning.
============================================

Now, how many times does it have to gain 10 seconds in order to add up
to 5 minutes ?

-- 10 seconds is (10/60) = 1/6 of a minute.  So from one morning until
6 mornings  later, the watch gains (6 x 1/6) = 1 whole minute.

-- And from one morning until (5 x 6) = 30 mornings later, it gains
(5 x 1) = 5 minutes.

The watch was correct on the morning of May 1.  It gained 10 more seconds
every morning after that. 

-- It was 1minute ahead on the morning of May (1 + 6) = 7.
-- It was 2 minutes ahead on the morning of May (7 + 6) = 13.
-- It was 3 minutes ahead on the morning of May (13 + 6) = 19.
-- It was 4 minutes ahead on the morning of May (19 + 6) = 25.

And it was 5 minutes ahead on the morning of May 31.


One bag of rice that weights 4.5 pounds will have enough rice if a recipe calls for 60 ounces of rice. (1 pound = 16 ounces). True or False

Answers

Hello, JohannaSalmeron!

Set up proportions for the problem:

1 pound                 4.5 pounds
________     x     ___________

16 ounces                 x ounces

Cross multiply and solve for x.

x= 16 x 4.5
x= 72 ounces

So false, the recipe would call for 72 ounces of rice.

Answer: False

Hope this helps :)

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