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spayn [35]
3 years ago
7

760 hundreds using place-value chart

Mathematics
1 answer:
vazorg [7]3 years ago
7 0
7hundreds 6tens 0ones
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Factor the expression P^4+3p^3-10p^2
bonufazy [111]

Answer:

p^2(p+5)(p-2)

Step-by-step explanation:

To begin factoring the expression p^4+3p^3-10p^2, we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:

p^4=p*p*p*p

3p^3: 3*p*p*p

-10p^2: -10*p*p

Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.

We notice the only common factors bare p*p or p^2.

We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.

\frac{p^4}{p^2} =p^2

\frac{3p^3}{p^2} =3p

\frac{-10p^2}{p^2}=-10

p^2(p^2+3p-10).

We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.

--10 = 5 * -2

3p= 5p +-2p

We write p^2(p+5)(p-2).


5 0
4 years ago
If one box has a surface area of 240 inches what is the surface area of 5 boxes??
lidiya [134]

Answer:1200

1 box=240

so if you take 240 x5 you get 1200

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas
taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by \frac{1}{2}(a+b)h. Thus,

60 = \frac{1}{2}(2h + 2h + 4)h

60 = \frac{(4h  + 4)h }{2}

60 = \frac{4h(h  + 1)}{2}

60 = 2h(h  + 1)

30 = h(h  + 1)

0 = h^2  + h - 30

0 = (h+6)(h-5)

h-5 = 0 or h+6 = 0

h= 5 or h = -6

We discard the negative value of h since it is a measurement and cannot be negative.

h= 5

a= 2h=2\times5=10

b= a+4=10+4=14

6 0
3 years ago
Janna has 34 pennies. Mandy has 48 pennies. Mandy says they have 72
krok68 [10]

Answer:

Mandy should add the tens before she adds the ones.

Step-by-step explanation:

There are no other good answers and the correct answer is 82 pennies.

3 0
3 years ago
Read 2 more answers
Properties of real number?
rosijanka [135]

Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line

3 0
3 years ago
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