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yan [13]
2 years ago
9

Esteban is shopping for a bookshelf. He has 58 non-fiction books and 145 fiction books. He wants each shelf to have the same num

ber of books and to have only one type of book on each shelf. If Esteban wants the greatest possible number of books on each shelf, how many shelves should the bookshelf have?
Mathematics
1 answer:
emmasim [6.3K]2 years ago
5 0

Answer:

7

Step-by-step explanation:

Criteria:

• same number of books on each shelf

 ⇒find a number that divides 58 and 145

• greatest number of books on each shelf

 ⇒find the greatest number that divides 58 and 145

Find the GCF of 58 and 145.

58 = 2 ⋅ 29

145 = 5 ⋅ 29The GCF of 58 and 145 is 29.

Each shelf will contain 29 books.

There are 203 total books (because 58 + 145 = 203).

Divide 203 by 29 to find the number of shelves there should be.

203 / 29 = 7

Therefore, there will be 7 shelves.

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What does the measure of B Equal?
defon
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.

Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.

Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.

Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.

m<BAC + m<B + m<BCA = 180

32 + m<B + 41 = 180

m<B + 73 = 180

m<B = 107
8 0
4 years ago
What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa
n200080 [17]

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

p^4 - 16

Let the factor form of the polynomial is f(p). Thus,

f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2

Using the formula of difference of squares, we get,

f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

3 0
2 years ago
Priscilla works at a cosmetics store. She recieves a weekly salary of $350 and is paid a 3% commission on weekly sales over $150
jarptica [38.1K]
What is the question?
6 0
3 years ago
Your family eats at Pizza Hut for dinner. The pizza is $12.99. An order of bread sticks is $5.99. Four drinks were purchased for
Anton [14]

Answer:

$22.87

Step-by-step explanation:

12.99+5.99+2.20=21.18

22.18x.08=1.6944

1.69+22.18=22.87

7 0
3 years ago
PLS HELP AND ANSWER QUICK
Phoenix [80]

Answer:

m< K =<u>60</u>

m< L =<u>90</u>

m< KMI =<u>30</u>

m< LMA =<u>150</u>

Step-by-step explanation:

hope it helps you

have a great day!!!

4 0
3 years ago
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