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Ivan
3 years ago
10

A rectangle has an area of x^2-11x+30 and the length of x-5. What is the width?

Mathematics
2 answers:
Keith_Richards [23]3 years ago
5 0

Answer:

x - 6

Step-by-step explanation:

A = x² - 11x + 30

= x² - 5x - 6x + 30

= x(x - 5) - 6(x - 5)

= (x - 6)(x - 5)

A = L x W

W = A/L

= (x - 6)(x - 5)/(x - 5)

= (x - 6)

olya-2409 [2.1K]3 years ago
3 0

Answer:

x - 6

Step-by-step explanation:

A = L x W

A / L = W

x^2-11x+30 / x -5  = W (Simplify the numerator)

(x - 6) x ( x - 5) / x - 5  = W     (Cancel the similar ones which is (x - 5) )

x - 6 = W

Hope that helps

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A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If
Luba_88 [7]

Answer:

  $406

Step-by-step explanation:

The amount of interest that Lorenzo's account earns is given by ...

  I = Prt

where P is the principal amount ($400), r is the annual rate (1.5%) and t is the number of years (1).

Lorenzo's interest is ...

  I = $400·0.015·1 = $6.00

Then the balance in Lorenzo's account at the end of one year is ...

  $400 +6 = $406.00

3 0
3 years ago
Harry’s company can store 50,000 units of their new product in the warehouse, the maximum capacity for the warehouse. They sold
Nat2105 [25]

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

<h3>What is an equation?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Maximum capacity for the warehouse = 50,000 units

Pre-orders = 20,000 units

Number of units produced per week = 3000 units

Number of orders per week = 1500 units

The number of weeks to fill the warehouse to its maximum capacity:

We can make an equation as:

3000M - 1500M - 20,000 = 50,000 ____(1)

M = number of weeks

From (1) we get,

M ( 3000 - 1500 ) - 20,000 = 50,000 ____(2)

1500M - 20,000 = 50,000

1500M = 50,000 + 20,000

1500M = 70,000

M = 46.66 weeks

M = 47 weeks

We can also see that,

From (2),

M ( 3000 - 1500 ) - 20,000

47 x 1500 - 20,000

70,500 - 20,000

50,500

Thus,

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

Learn more about equations here:

brainly.com/question/17194269

#SPJ1

6 0
1 year ago
If diameter of a circle is 28 cm,then the circumference of the circle is equal to​
ratelena [41]

Answer:87.92

Step-by-step explanation: you multiply the diameter by pie or 3.14 to get the circumference

4 0
3 years ago
Read 2 more answers
The last term of an arithmetic sequence is 14 and the ninth term is -1. Find the first four
Olegator [25]

Answer:

13

Step-by-step explanation:

where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .

8 0
2 years ago
1. Use the distributive property to simplify.<br> -7( y + 9) - (y + 4)<br> I
Oduvanchick [21]

Answer:

-8y-67

Step-by-step explanation:

-7(y+9)-(y+4) distribute

-7y-63-y-4 combine like terms

-8y-67

i believe this is the right answer :D

4 0
2 years ago
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