All categories

3 years ago

Simplify this expression. 6^7 ÷ 6^5 A. 30 B. 35 C. 36 D. 42

Mathematics

2 answers:

bulgar [2K]3 years ago

6 0

Answer:

C 36

Step-by-step explanation:

When we have to exponents to the same base, and we are dividing them, we can subtract the exponents

a^b ÷ a^c = a^ (b-c)

6^7 ÷ 6^5 = 6^(7-5)

= 6^(2)

= 36

Dima020 [189]3 years ago

3 0

ANSWER

C. 36

EXPLANATION

The given expression is

${6}^{7} \div {6}^{5}$

Recall that,

${a}^{m} \div {a}^{n} = {a}^{ m - n}$

We apply this property to get,

${6}^{7}\div {6}^{5} = {6}^{7 - 5}$

This will give us,

${6}^{7}\div {6}^{5} = {6}^{2}$

${6}^{7}\div {6}^{5}= 36$

The correct choice is C.

You might be interested in

A cone has a diameter of 24 in. and a slant height of 15 in.

Fiesta28 [93]

<span>first of all that do you think the answer is</span>

6 0

3 years ago

Read two-way relative frequency tables.

zalisa [80]

Answer:

1 / 4= 25%

Step-by-step explanation:

The percent of graduates in the sample had an income under $20,000

= Posibility of had an income under $20,000 / total posible outcomes

= 75 / 300

= 1 / 4= 25%

Hope this helped :3

5 0

3 years ago

Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

<em>Hence, Sarah is 13 years old</em>

3 0

3 years ago

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 88

Firdavs [7]

The answer is __ because the directions that the truck traveled are basically in the shape of a right triangle. From the warehouse to the airport, that's the slanted line, and from the warehouse to the factory, and the factory to the airport, those are the other lines.

To find the slant line of a right triangle, you want to use the Pythagorean theorem:

a^(2) * b^(2) = c^(2)

c being the slant line

In this case, we want to count how many boxes the other two lines are, then later factor in what units it's in. (meaning later we convert the boxes into miles)

The distance from the warehouse to the factory is 8, and the distance from the factory to the airport is 6. Now, we want to multiply 8 squared by 6 squared to equal c squared.

64+36 = 100

c squared = 100

Next, we have to find the square root of both sides of the equation.

c = 10

This means that there are 10 boxes in between the airport and the warehouse. Since one box = 44 miles, then we multiply our answer by 44 to find the real amount of miles that the truck traveled.

The distance from the warehouse to the airport = 440 miles
The distance from the warehouse to the factory = 352 miles (44*8)
The distance from the factory to the airport = 264 miles (44*6)

Now just add all the values together to find out how many miles in total the truck traveled.

440 + 352 + 264 = 1056

3 0

4 years ago

What is the ratio for Cos B?

RUDIKE [14]

Answer:

3/5

Step-by-step explanation:

The cosine ratio is ...

Cos = Adjacent/Hypotenuse

cos(B) = BA/BC = 48/80

cos(B) = 3/5

8 0

3 years ago