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3 years ago

How can you express (32 + 56) as a multiple of a sum of whole numbers with no common factor?

1 answer:

5 0

To express (32+56) as a multiple sum of whole number we proceed as follows;
32=2*2*2*2*2=2^5
56=2*2*2*5=(2^3)*5
Thus;
(32+56)
=2^5+2^3*5
=2^3(2^2+5)
The answer is:
2^3(2^2+5)

You might be interested in

4 less than a number n is -15

kiruha [24]

Answer:

n=-11

Step-by-step explanation:

Since -15 is 4 less than -11, it would be -11.

Hope this helped. :)

3 0

3 years ago

Find the length of a diagonal<br> of a square with sides of 14<br> feet long.<br> [?][feet<br> /

inessss [21]

Answer:

14√2 feet

Step-by-step explanation:

The length of a diagonal of a square is $L=S\sqrt{2}$ where $S$ is the side length of the square. Therefore, $L=14\sqrt{2}$ .

4 0

2 years ago

In general, after a group makes a reservation at a restaurant, they do not show up 20% of the time. If a restaurant has 8 reserv

sashaice [31]

Answer:

P(more than 2 don't show up)=0.2031

Step-by-step explanation:

Multiplication rule for independent events:

If two events A and B are independent then the multiplication rule state that:

P(A and B)= P(A) x P(B)

Find the probability that more than two do not show up:

The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.

P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)

= 1-( P(none show up) +P(one don't show up)+P(two don't show up)

=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷) +₈ C₂ (0.2²)x(0.8⁶)

=1- (0.1678 +0.3355+0.2936)= 1-0.7969

P(more than 2 don't show up)=0.2031

5 0

3 years ago

When measuring time, 8 concerts are approximately equal to 6 symphonies. How many symphonies are equal to 42 symphonies?

Vinil7 [7]

So normally it is
if 8x is to 6y, then how many x is to 42y?
it could be
if 8x:6y then how many x:42y or
if 8x:6y then how many y:42 x

I will solve for both

if it is
x:42y go to AAAAAAAA
if it is
y:42x then go to BBBBBBBBBB

AAAAAAAA
how many concerts are equal to 42 symponies
arrange in concerts to symponies format

8:6=x:42
fractionify
8/6=x/42
multiply boht sides by 42
336/6=x
56=x
56 concerts equals 42 symponies

BBBBBBBBBB

how many symponies are equal to 42 concerts
areange in symponies:concerts
6:8=x/42
fractionify
6/8=x/42
multiply boht sides by 42
252/8=x
31.5=x
31.5 symponies to 42 concerts

so it could be

56 concerts to 42 symponies
or
31.5 symonies to 42 concerts

6 0

3 years ago

The sum of two numbers is 8, and the sum of their squares is 34. What is the smaller number?

olga nikolaevna [1]

Just by trying some small numbers, you discover two that work: 3 and 5.

3 + 5 = 8

3² + 5² = 9 + 25 = 34 .

8 0

2 years ago