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svlad2 [7]
4 years ago
5

Rich is building a travel crate for his dog, Thomas, a beagle-mix who is about 30 inches long, 12 inches wide, and 24 inches tal

l. For Thomas to travel safely, his crate needs to be a rectangular prism that is about 12 inches greater than his length and width, and 6 inches greater than his height. What is volume of the travel crate that Rich should build? What do you need to find to solve the problem?
Mathematics
1 answer:
scoray [572]4 years ago
4 0
First you would add the 12 to 30 to find the length of the crate and 12 to 12 to find the width of the crate. Then add 6 to the height of the dog. You need that information to find the volume of the crate. Then you would multiply those numbers of the crate. (30 + 12) (12 + 12) (24 + 6) = 30,240 in^3
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Office Products has a box of binder clips on sale for $9.99. The list price is $10.99. If you buy 4 boxes, what are the (a) sale
vesna_86 [32]

Answer:

Sale price: 32.97

Amount saved is:  7.99

Total purchase price is 35.97

Step-by-step explanation:

5 0
4 years ago
In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if
zalisa [80]

Question Continuation:

if   (a) the books can be arranged in any order?  

(b) the mathematics books must be together and the novels must be together?

Answer:

(a) 3628800  ways

(b) 17280 ways

Step-by-step explanation:

Given

Novels = 5

Mathematics = 4

Biology = 1

Solving (a): In any order

This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.

Total number of books is:

N = Mathematics + Novel + Biology

N = 4+5+1

N = 10

The number of arrangement is:

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

10! = 3628800\ ways

(b):

If the mathematics books are together, there are 4! different  arrangements

If the novels are together, there are 5! different arrangements

Now, there are 3 bundles.

  • The mathematics books as 1
  • The novels as 1
  • The biology book

This can be arranged in 3! ways.

Total number of arrangement is:

Total = 4! * 5! * 3!

Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1

Total = 17280\ ways

6 0
3 years ago
I WILL GIVE YOU 30 POINTS IF YOU ANSWER THIS QUICK!!!!!!!!!!
Westkost [7]
Rewrite
log
(
2
x
)
=
4
log2⁢x=4 in exponential form using the definition of a logarithm. If
x
x and
b
b are positive real numbers and
b
b
≠
≠
1
1, then
log
b
(
x
)
=
y
logbx=y is equivalent to
b
y
=
x
by=x.
10
4
=
2
x
6 0
3 years ago
Read 2 more answers
13. To rent a car, you pay a one-time charge of $45 plus a charge of $0.29 for
deff fn [24]

Answer:

<em>The correct choice is (c) $79.80</em>

Step-by-step explanation:

The total charge for renting a car can be split into two parts:

A fixed one-time charge of $45

A variable charge of $0.29 per driven mile.

If I drive 120 miles, the variable charge will be 120*0.29 = $34.80

The total charge will be $45 + $34.80 = $79.80

The correct choice is (c) $79.80

7 0
3 years ago
A sqaure arce of land is 4840sqaure yards. between which to integers is the lengh of one side
prohojiy [21]
Area of square=side^2
therfror

4840=side^2
sqrt both sides
???=side

estimate
find the integers above and below when squared
50²=2500
up
60²=3600
up
70²=4900
down a little bit
69²=4761
bingo

4761<4840<4900
69²<side²<70²

the legnth of the side is between 69 and 70
5 0
3 years ago
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