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Rashid [163]
3 years ago
10

Solve for x: I need a answer with an explanation. Algebra 1

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer: x = -1

Step-by-step explanation:

You need to convert to the same base

\frac{1}{16}  = \frac{1}{2^{4} } = 2^{-4}

So

2^{-4} = 2^{-2x-6}

For these values to be equal, the exponents have to be equal

-4 = -2x - 6

2 = -2x

x = -1

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The same brand of jelly beans comes in two sizes a 10 ounce bag for $1.99 and an 18 ounce bag for $2.99. Which size is the bette
dimaraw [331]

Find the unit costs and compare them:

$1.99

---------- = $0.199/oz

10 oz


$2.99

-------------- = $0.17/oz

  18 oz


Clearly, the 18 oz bag for $2.99 is the better buy, at $0.17/oz versus $0.199 oz for the 10 oz bag for $1.99.



3 0
3 years ago
The points (4, 9) and (0, 0) fall on a particular line. What is its equation in slope-intercept form?
Nikolay [14]

Answer:

The equation of the line would be y = 4/9x

Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (9 - 0)/(4 - 0)

m = 9/4

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y - 0 = 4/9(x - 0)

y = 4/9x

5 0
3 years ago
A customer buys 17.01 in gas and request one five dollar lottery ticket two one dollar lottery tickets and one three lottery tic
const2013 [10]

The store clerk gave the customer:

Gas. . . . . . . . . 17.01
$5 ticket . . . . . . 5
$3 ticket . . . . . . 3
2 x $1 ticket . . . 2

Total. . . . . . .  $27.01


The customer gave the store clerk:

$5 ticket . . .  5
$2 ticket . . .  2
cash. . . . . 100

Total. . . . $107

The store clerk owes the customer  ($107 - $27.01)  =  $ 79.99  .

7 0
3 years ago
Read 2 more answers
Which choices are equivalent to the quotient below √16/√8
Darya [45]

Answer:

A

Step-by-step explanation:

\frac{\sqrt{16} }{\sqrt{8} }  = \sqrt{\frac{16}{8} }  = \sqrt{2}

Hope this helps!

8 0
2 years ago
The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22
stiv31 [10]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Let the price of the room be p

Let the size of the room be s

To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them

The statement

The price of tiling a room varies directly as the size of the room is written as

<h3>p = ks</h3>

where k is the constant of proportionality

when

p = $4,224.00

s = 264 square feet

Substitute the values into the expression to find k

That's

4224 = 264k

Divide both sides by 264

k = 16

So the formula for the variation is

<h3>p = 16s</h3>

when

p = 3824

s =  \frac{p}{16}

s =  \frac{3824}{16}

s = 239

The final answer is

239 square feet

Hope this helps you

6 0
3 years ago
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