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3 years ago

Which equations are true?

Mathematics

1 answer:

liberstina [14]3 years ago

3 0

Answer:

B. D. E.

Step-by-step explanation:

A. False

${15}^{0} = 1$

B. True

$( {8}^{3} )( {8}^{6} ) = {8}^{(3 + 6)} = {8}^{9}$

C. False

${5}^{2} = 25$

D. True

$( {6}^{5} )^{3 } = {6}^{15}$

E. True

$\frac{ {3}^{7} }{ {3}^{9} } = {3}^{(7 - 9)} = {3}^{ - 2}$

You might be interested in

Find the perimeter use 3.14

Alex777 [14]

Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle. Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12

C = 25.12 ÷ 2
C = 12.56

Perimeter = 12.56 x 3 = 37.68

Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32

Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68

Final Answer: 69.68
Hope this helped!

Cheers,
Izzy

8 0

3 years ago

There are 8 students on the minibus.Five of the students are boys. What fraction of the students are boys

Nimfa-mama [501]

Since 5 of the 8 students are boys, the fraction would be 5/8. The fraction would roughly be around 63%

5 0

3 years ago

Read 2 more answers

Simplify 4n5 + 3.5n5 + (-2.1n5). 4.4 n5 5.4 n5 20 n5 6.4 n5

ella [17]

Answer:

$4 {n}^{5} + 3.5 {n}^{5} + ( - 2.1 {n}^{5} )$

first create a bracket:

$= ( {4n}^{5} + 3.5 {n}^{5} ) + ( - 2.1 {n}^{5} )$

then solve the first bracket:

$= {7.5 {n}^{5} } + ( - 2.1 {n}^{5} )$

then open the remaining bracket:

$= {7.5n}^{5} - {2.1n}^{5}$

carryout the subtraction operation:

$= (7.5 - 2.1) {n}^{5} \\ { \boxed{ = {5.4n}^{5} }}$

7 0

3 years ago

6w = 21 Solve for w Please show steps

brilliants [131]

Answer:

w=21/6

w=3.5

Step-by-step explanation:

I hope it's helps you

4 0

3 years ago

How can knowing how to represent proportional relationships in different ways be useful to solving problems

Anna35 [415]

Answer:

appropriately writing the proportion can reduce or eliminate steps required to solve it

Step-by-step explanation:

The proportion ...

$\dfrac{A}{B}=\dfrac{C}{D}$

is equivalent to the equation obtained by "cross-multiplying:"

AD = BC

This equation can be written as proportions in 3 other ways:

$\dfrac{B}{A}=\dfrac{D}{C}\qquad\dfrac{A}{C}=\dfrac{B}{D}\qquad\dfrac{C}{A}=\dfrac{D}{B}$

Effectively, the proportion can be written upside-down and sideways, as long as the corresponding parts are kept in the same order.

I find this most useful to ...

a) put the unknown quantity in the numerator

b) give that unknown quantity a denominator of 1, if possible.

The usual method recommended for solving proportions is to form the cross-product, as above, then divide by the coefficient of the variable. If the variable is already in the numerator, you can simply multiply the proportion by its denominator.

Example:

x/4 = 3/2

Usual method:

2x = 4·3

x = 12/2 = 6

Multiplying by the denominator:

x = 4(3/2) = 12/2 = 6 . . . . . . saves the "cross product" step

Example 2:

x/4 = 1/2 . . . . we note that "1" is "sideways" from x, so we can rewrite the proportion as ...

x/1 = 4/2 . . . . . . written with 1 in the denominator

x = 2 . . . . simplify

Of course, this is the same answer you would get by multiplying by the denominator, 4.

The point here is that if you have a choice when you write the initial proportion, you can make the choice to write it with x in the numerator and 1 in the denominator.

8 0

3 years ago