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harina [27]
3 years ago
9

A car rents for ​$35 per day plus 18cents¢ per mile. you are on a daily budget of ​$71. what mileage will allow you to stay with

in your​ budget
Mathematics
1 answer:
Butoxors [25]3 years ago
6 0
200 miles
$71-$35=$36 left in budget
$36/.18 per mile= 200 miles
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Solve each system of inequalities by graphing. <br><br> x-2y&lt;3<br> 2x+y&gt;8
salantis [7]
Not easy to graph but

multily first equaiton by -2 remember to flip sign
-2x+4y>-6
add to other equaiton

2x-2x+y+4y>-6+8
5y>2
divide by 5
y>2/5

subtitute
2x+2/5>8
subtract 2/5 from both sdies
2x>7 3/5
divid eby 2
x>38/10=19/5=3 4/5

x>3 4/5
y>2/5
just shade the area in that zone, not including point (0,0)
6 0
3 years ago
30 POINTS IF SOMEONE ANSWERS CORRECTLY (MATH)
Alekssandra [29.7K]

a. factor A = x^2 -30x + 225 = (x - 15)(x - 15)

side length =<u> (x - 15)</u>

b. add (x - 15) four times = 4(x - 15) =<u> 4x - 60</u>

8 0
2 years ago
Read 2 more answers
A . 7 1/4<br> B . 7 2/3 <br> C. 10<br> D. 10 1/2 <br> E. 10 1/4
Arada [10]
Hello!

You start with 13 1/4 inches of steel

You cut 2 3/4

So yo subtract these two

13 1/4 - 2 3/4 = 10 2/4

Then you cut 3 1/4 inches off

You subtract these as well

10 2/4 - 3 1/4 = 7 1/4

The answer is 7 1/4

Hope this helps!
3 0
3 years ago
The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
zavuch27 [327]

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

  • x = first page, some positive whole number
  • x+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

8 0
3 years ago
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