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3 years ago

3^4x+^2=9^x+^2. what is the value of x?

Mathematics

1 answer:

klemol [59]3 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

3^(4x + 2) = 9^(x + 2)

Make 9 with base 3.

3^(4x + 2) = (3^2)^(x + 2)

3^(4x + 2) = 3^(2x + 4)

Cancel bases.

4x + 2 = 2x + 4

Subtract 2 and 2x on both sides.

4x - 2x = 4 - 2

2x = 2

Divide 2 on both sides.

x = 1

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At the movie theatre, child admission is $6.30 and adult admission is $9.60 . On saturday, twice as many adult tickets as child

joja [24]

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

$y=2x$

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

$6.30x+9.60y=535.50$

now, we can plug y=2x

$6.30x+9.60*2x=535.50$

now, we can solve for x

$25.5x=535.5$

$x=21$

now, we can find y

$y=2*21$

$y=42$

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer

4 0

2 years ago

The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape i

AfilCa [17]

Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

Both triangles are identical
Both rectangles are different
There are values in units^2 given
There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation A = 1/2(bh)

Substitute A = 1/2(4*3)

Simplify A = 1/2(12)

Solve A = 6

Double *2

A = 12 u^2

Rectangles

Set up equation A = lh

Substitute A = (14)(3)

Simplify A = 42 u^2

Set up equation A = lh

Substitute A = [14-(4+4)](3)

Simplify A = (14-8)(3)

Simplify A = (6)(3)

Multiply A = 18 u^2

Total Area

Set up equation A = R1+R2+T

Substitute A = 42 + 18 + 12

Simplify A = 60 + 12

Solve A = 72 u^2

<h3>Answer: 72 u^2</h3>

4 0

2 years ago

Write 3 word division problems with a divisor of 6

Step2247 [10]

1.) A librarian had to pick thirteen books into boxes.if each box can hold six books ,how many boxes did she need?

2.)Each house a carpenter builds needs six sinks.if he bought twenty-nine sinks,how many houses would that cover?

3.)A flash drive could hold six gigs of data.if you needed to store thirty-nine gigs,how many would you need?

7 0

2 years ago

It's just a simple equation but the transversal has me stuck

alexgriva [62]

Answer:

x = 22

Step-by-step explanation:

∠VSR and ∠SRU are same- side interior angles and are supplementary, thus

5x + 4 + 44 + x = 180, that is

6x + 48 = 180 ( subtract 48 from both sides )

6x = 132 ( divide both sides by 6 )

x = 22