Jack broke apart 5×216 as (5×200) + (5×16) to multiply mentally. What strategy did Jack use

Mathematics

1 answer:

adell [148]4 years ago

8 0

He used factoring to break it apart

You might be interested in

Plz with steps .. it's very hard can anyone plz

liubo4ka [24]

Answer:

Step-by-step explanation:

$\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a} \qquad f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a} \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} }{\dfrac{1}{2\sqrt{x}} }\\\\$

$\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}} =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\$

7 0

3 years ago

Please answer this question now

vichka [17]

Answer:

320 sq in

Step-by-step explanation:

4(1/2*8*16) + (8*8)

= 4(64) + (64)

= 5(64)

= 320

6 0

3 years ago

Can enyone put 457÷4 in long division and show me a picture of it

STALIN [3.7K]

457 divided by 4 118.75 i do not have the long division but you basically just put 4 into 457 and stuff so you do 4 into 45 which is 11.25 then 4 into 7
Which is 1.75 then put that together getting 118.75

6 0

4 years ago

Juanita runs every third day and swims every fifth day. If Juanita runs and swims today, in how many days will she run and swim

Ber [7]

we know that

The least
common multiple (LCM) of two or more numbers is the least

number, other than zero, that is a multiple of all the numbers.

In this problem, we are looking for the least common multiple of $3$ and $5$