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Gekata [30.6K]
3 years ago
11

the perimeter of a rectangle is 58cm. the length is 7cm less than three times the width. find the length and width. (translate t

o a system of equations and solve)
Mathematics
1 answer:
Pie3 years ago
4 0

Answer:

length = 20 cm

width = 9 cm

Step-by-step explanation:

perimeter =  58 cm

58cm = 2*L+2*w equation 1

L = 3w -7 equation 2

where:

L= length

w=width

so we have:

58 = 2(3w -7) +2w

58 = 6w -14 +2w

58 +14 = 8w

72 = 8w

w = 72/8

w = 9 cm = width

we have:

L = 3(9) -7 = 20 cm = length

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Perdón nesecito avanzar en baratillo n
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2 years ago
Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
lozanna [386]

Answer:

2100 second

Step-by-step explanation:

4:30 pm to minutes

4 × 60 + 30 = 240 + 30

= 270 minutes

5:05 to minutes

5 × 60 + 5 = 300 + 5

= 305

4:30 to 5:05

305 - 270

= 35 minutes

35 minutes to second

35 × 60

= 2100 second

6 0
3 years ago
Read 2 more answers
What is the volume, in cubic meters, of a cylinder with a height of 8 meters and a base radius of 9 meters, to the nearest tenth
sammy [17]
Volume of a cylinder: \pi  r^{2} h

Plug in the numbers.

\pi 9^{2} 8 = <span>2035.8
</span>
The cylinder's volume is 2035.8 m³.
5 0
3 years ago
On the map of a town, 1 cm represents 6 miles. Find the distance represented by 4.5 cm
Daniel [21]

Answer:

27 miles

Step-by-step explanation:

1cm is 6 miles,

4.5cm is ?miles

?=6*4.5/1=27

6 0
3 years ago
(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

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

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
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