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disa [49]
3 years ago
15

A department store is offering the same percentage discount on all of their shoes. Suppose one pair of shoes is marked down from

$70 to $49. Based on that percentage discount, what would the new price be for a pair of shoes that originally cost $100?
MIDDLE SCHOOL QUESTION
Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
Answer: $70

Explanation: 49 is 70 percent of 70, which means the price was reduced 30%. If we reduce $100 by 30%, we get 70
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For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).
Softa [21]

Answer:

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

Step-by-step explanation:

f(x)=4x+1

g\left(x\right)=x^2\:-\:5

As

(g/f)(x) = g(x) / f(x)

            =\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:

            =\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}

              =\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}

               =\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

Therefore,

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

8 0
3 years ago
What is the value of the underlined digits? 588_7, 6.409_7, 8.41_3, _0,184,843
irga5000 [103]
The first on is the tenth place
the second one is  the tenth place
the third one is the tenth place
the last one is the millionth place
 
hope i helped :) i might be wrong though


3 0
3 years ago
Read 2 more answers
Lin runs 5 laps around a track in 6 minutes. c. If Lin runs 21 laps at the same rate, how long does it take her?
horrorfan [7]
126 because if you multiple 21 and 6 it’s gives you 126
5 0
3 years ago
Read 2 more answers
How do I solve this equation to get the solution?<br><br> y= -2x - 1<br><br> -3x + 6y = 24
swat32
There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.

- 3x + 6(- 2x - 1) = 24

Simplify by using the distributive property. 

- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.

Combine like terms

- 15x - 6 = 24

Add 6 to each side.

- 15x = 30

Divide both sides by - 15 to isolate variable X

x = 30 / - 15
x = - 2.

Now plug in the x-value we've found back into the first equation.

y = - 2( - 2) - 1
y = 4 - 1
y = 3

Your answer is (- 2, 3)
6 0
3 years ago
Write an equation of the line through (6,-2) with a slope of 4
torisob [31]

Notice that for this question, they are providing you with:

1) The slope of the line (4)

2) a point on the plane through which the line goes (6, -2)

So you can directly use for this the "point-slope" form of a line which is as follows:

y-y_0=m(x-x_{0)}

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.

So, let's use the info they gave you to complete this:

y-(-2)=4(x-6)

which we can work out a little more:

y+2=4x-24

And even a little more to finish the equation of the line in its standard slope-intercept form:

y=4x-24-2=4x-26

So the equation of the line is:

y=4x-26

3 0
1 year ago
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