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xz_007 [3.2K]
3 years ago
12

If a pack of ramen noodles cost $3.48 what is the unit rate (in cents)?

Mathematics
1 answer:
tresset_1 [31]3 years ago
3 0

Answer:

348 cents per pack

Step-by-step explanation:

$3.48         348 cents

----------- or ----------------- = 348 cents per pack

1 pack          1 pack

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(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated! ​
Andrei [34K]

Answer:

x = 7

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

\frac{1}{ {27}^{x - 8} }  = 27

2) Multiply both sides by 27^x - 8.

1 =  {27} \times 27^{1 + x  - 8}

3) Use the product rule: x^a x^b = x^a+b.

1 =  {27}^{1 + x - 8}

4) Simplify 1 + x - 8 to x - 7.

1  =  {27}^{x - 7}

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

log_{27}1 = x - 7

6) Use Change of Base Rule.

\frac{ log_1  }{  log{27} }  = x - 7

7) Use rule of 1: log 1 = 0.

\frac{0}{ log_{27}}  = x - 7

8) Simplify 0/log_27 to 0.

0 = x - 7

9) Add 7 to both sides.

7 = x

10) Switch sides.

x = 7

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

5 0
3 years ago
12x + 2y =6a. solve for yb. what is the slope and what is the y-intercept?
diamong [38]

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The given equation is

12x + 2y = 6

we would make this equation to look like the slope intercept equation.

12x + 2y = 6

If we subtract 12x from both sides of the equation, it becomes

12x - 12x + 2y = 6 - 12x

2y = 6 - 12x

2y = - 12x + 6

Dividing both sides of the equation by 2, it becomes

y = - 6x + 3

Thus, by comparing with the slope intercept equation,

slope = - 6

y intercept = 3

5 0
1 year ago
Find the focus and directrix of the parabola with the equation x² = -22y.
Bad White [126]

9514 1404 393

Answer:

  focus: (0, -5.5)

  directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

  x² = 4py

where 4p = -22   ⇒   p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

6 0
3 years ago
1. x² + 2xy – 7 xy + 4y?<br>Input your answer here:​
viktelen [127]

collect the like terms:

Solution: x^2-5xy+4y

P.S

get the photo math app. :)

Hope that helps.

6 0
3 years ago
- QUIZ DUE TODAY -
Elena L [17]

Answer:

Step-by-step explanation:

$19.50

-$15.50=

$4.00

1slice of pizza and 1soda is $4

so 2slices of pizza and 2 sodas is $8

$15.50-$8=$7.50

Now you have 3 slices of pizza left

$7.50/3slices=$2.50

1slice of pizza is $2.50

6 0
3 years ago
Read 2 more answers
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