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irinina [24]
2 years ago
12

a rectangle has a length that is 5 inches grater than is width and is area is 104 square inches, The equation (x+5) x=104 repres

ent the situation, where x represents the width of the retangle
Mathematics
1 answer:
Sidana [21]2 years ago
6 0

Answer:

width = 8 inches; length = 13 inches

Step-by-step explanation:

(x + 5)x = 104

x^2 + 5x - 104 = 0

(x - 8)(x + 13) = 0

x - 8 = 0 or x + 13 = 0

x = 8 or x = -13

Since the width of a rectangle cannot be a negative number, we discard the answer x = -13.

x = 8

The width is 8 inches.

The length is 8 + 5 = 13.

The length is 13 inches.

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-11× (-4) =___<br><br> 44 2/15<br><br> - 44 2/15<br><br> - 49<br><br> 49
pantera1 [17]

Answer:

44

Step-by-step explanation:

-×-=+

11×4=44

so it's equal to =+44

3 0
3 years ago
The Lynx star middle linebacker, Nat, is paid $500,000. He is guaranteed a 25% raise for each of the next three years. What will
shutvik [7]

Answer:

Nat's salary after 3 years = 976562.5 $

Explanation:

Salary of Nat =  $500,000

Raise in salary for next three years = 25 % = 0.25

Salary of Nat after 1 year = 500,000 + 0.25 * 500,000 = 625000 $

Salary of Nat after 2 years = 625000 + 0.25 * 625000 = 781250 $

Salary of Nat after 3 years = 781250 + 0.25 * 781250 = 976562.5 $

So, Nat's salary after 3 years = 976562.5 $

Easy Method;

   No of years considering = 3

   Initial salary = $500,000

   Rate of increase = 0.25

   Final salary = 500,000(1+0.25)^3=976562.5$

Nat's salary after 3 years = 976562.5 $

3 0
3 years ago
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
Maria biked 5 km in 1 h. What is the unit rate, in h/km? <br><br> ____ h/km please help me
Lubov Fominskaja [6]
The answer is 5 <span>h/km. Because the unit is already in 1 hour, you don't need to divide and h/km is just the Canadian way to say km/h. </span>
3 0
3 years ago
Read 2 more answers
Find the possibability of 1 head when flipping 3 coins
iogann1982 [59]
The probability of flipping 1 head when flipping 3 coins is 3/8.
Hope I helped!
3 0
3 years ago
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