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Harrizon [31]
3 years ago
14

the length of a rectangle is 5 minutes longer than its with if the perimeter of the rectangle must be at least 34 units what are

the possible lamps of the rectangle right in any quality to represent the problem then solve the inequality​
Mathematics
1 answer:
stealth61 [152]3 years ago
7 0

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.

34 ≤ 2*(5+w) + 2w

34 ≤ 10+2w+2w

34 ≤ 10+4w

24 ≤ 4w

6 ≤ w

This means the width must be at least 6 so the solution is w ≥ 6.

To find the length substitute 6 into l ≤ 5+w.

l ≤ 5 + 6

l ≤ 11

The length is l ≥ 11.

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A hardware store rents vacuum cleaners that customers may use for part or all of a day, up to 12 hours, before returning. The st
jek_recluse [69]

The flat fee that the store charges is $14 and the cost for 7 hours is $56

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

let f for the total rental cost of a vacuum cleaner for x hours

Using the points (1, 20) and (3, 32) from the table:

f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14

The flat fee that the store charges is $14

The reasonable domain is 1 ≤ x ≤ 12

The cost for 7 hours is:

f(7) = 6(7) + 14 = 46

Find out more on linear equation at: brainly.com/question/14323743

4 0
2 years ago
13<img src="https://tex.z-dn.net/?f=13%5Cfrac%7B1%7D%7B4%7D%20%2B2n%3D27%5Cfrac%7B3%7D%7B4%7D" id="TexFormula1" title="13\frac{1
Len [333]

Answer:

7 1/8

Step-by-step explanation:

Assuming that the first 13 was a mistake then the equation would be 13 1/2 + 2n = 27 3/4

subtrace 13 1/2 from 27 3/4

14 1/4

divide by 2

7 1/8

7 0
3 years ago
Please help! Not even sure how to start with this one or how to calculate
vivado [14]

Remember when you learning about the "Least Common
Multiple" and you wondered when in the world you would
ever need to use it ?
Well, here you are !   Hello !

The next time they will cross the starting line together is the
LCM (Least Common Multiple) of 30 and 40 .

Do you remember how to find it ?
Here's one easy way: 

Count by 30s until you come to a number that's divisible by 40 .

Laura's first lap. . . . . . . . 30 seconds . . . not divisible by 40
Laura's two laps . . . . . . . 60 seconds . . . not divisible by 40
Laura's three laps. . . . . . 90 seconds . . . not divisible by 40
Laura's four laps. . . . . . 120 seconds . . . divisible by 40

After 120 seconds, Laura has completed four laps,
Shelby has completed only three laps.

4 0
4 years ago
(3x^2) (2x^5)<br>use the properties of exponents to simplify​
Solnce55 [7]

Answer:

6x^7.

Step-by-step explanation:

The exponent property for this would be that

x^a * x^b = x^a + b.

So x^2 * x^5 = x^2 + 5 or x^7.

The other part is just multiplying the coefficients 3 and 2, which is 6.

Put these together and you get your answer 6x^7.

4 0
3 years ago
A mixed number greater than 8.45? my answers are
zalisa [80]
We can easily see that only 8 216/360 is greater than 8 162/360. It means the correct answer is C: From the given mixed numbers, only 8 3/5 is greater than 8.45<span>.</span>
8 0
3 years ago
Read 2 more answers
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