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gayaneshka [121]
3 years ago
5

Your parents gave you $200 to spend on a weeklong school trip. You have budgeted $25 per day for snacks and souvenirs. Write an

equation that represents this situation
Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

200- 25d

Step-by-step explanation:

d equals number of days on the trip

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Find the perimeter of a field that has length 2/x + 1 and width 5/x^2 -1.
Semmy [17]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

p=2(l+w)

where

p is the perimeter

l is the length

w is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so l=\frac{2}{x+1} and w=\frac{5}{x^2-1}.

Replacing values:

p=2(l+w)

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula a^2-b^2=(a+b)(a-b) where a is the first term and b is the second term. We can infer that a=x^2 and b=1^2. So, x^2-1=(x+1)(x-1). Replacing that:

p=2(\frac{2}{x+1} +\frac{5}{x^2-1})

p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})

We can see that the common denominator of our fractions is (x+1)(x-1). Now we can simplify our fraction using the common denominator:

p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )

p=2(\frac{2x-2+5}{(x+1)(x-1)} )

p=2(\frac{2x+3}{(x+1)(x-1)} )

p=\frac{4x+6}{(x+1)(x-1)}

We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).

3 0
4 years ago
What is 469.82 plus 8.5 sales tax
alekssr [168]
Hey!


The first step to solving this problem would be to multiply 469.82 by 0.085.

<em>New Equation :</em>
469.82 × 0.085 = ?

<em>Solution {New Equation Solved} :</em>
469.82 × 0.085 = 39.9347

Ignore the forty seven at the end of the solution. You're only going to need 39.93. Now we'll add 469.82 and 39.93. This is the sales tax plus the regular price. Which will then bring us to our total.

<em>New Equation :</em>
469.82 + 39.93 = ?

<em>Solution {New Equation Solved} :</em>
469.82 + 39.93 = 509.75

<em>So, 469.82 plus 8.5 sales tax is</em>  509.75.

Hope this helps!


- Lindsey Frazier ♥
4 0
4 years ago
What is the percent decrease from 10 to 3
iragen [17]
10 is the old value and 3 is the new value. In this case we have a negative change (decrease) of -70 percent because the new value is greater than the old value. The answer is -70 percent.
3 0
3 years ago
M(x) = -2x. Find m(5).<br>m(5) =​
Natasha_Volkova [10]

Answer:

this is the correct answer look this img

6 0
3 years ago
Write the equation in slope intercept form of the line that passes through the point (1,-3) and a slope of -2
Alborosie

Answer:y=-2x-1


Step-by-step explanation:

(1,-3) and a slope of -2

Use Formula

Y= mx +b to find b. By using the slope and point given .

M is slope

Y is -3

X Is 1



Y=mx+b


-3= -2(1)+b


-3= -2+b


-3+2=b


-1=b


Now create the equation by inputting the slope they gave you which is -2 and answer we solved for b which is -1 .


Y= -2x-1

4 0
3 years ago
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