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Inessa [10]
3 years ago
14

the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70

cm. what is the with of thr rectangle?
Mathematics
1 answer:
viva [34]3 years ago
4 0
------------------------------------------------------------------------------------
Ratio
------------------------------------------------------------------------------------
Width : Length
    2    :   5 

Let x be the scale factor

Width : Length
    2x    :   5x

------------------------------------------------------------------------------------
Form equation and solve x
------------------------------------------------------------------------------------
Perimeter = 2(Length + Width)
70 = 2(5x + 2x)
70 = 2(7x)
70 = 14x
14x = 70
x = 5

------------------------------------------------------------------------------------
Find Length and Width
------------------------------------------------------------------------------------
Length = 5x 
Length = 5(5) 
Length = 25

Width = 2x
Width = 2(5)
Width = 10

------------------------------------------------------------------------------------
Answer: Length = 25 cm, Width = 10 cm
------------------------------------------------------------------------------------
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Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He pai
zysi [14]

Answer:

300

Step-by-step explanation:

Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300

0.09x + 0.06x - 15 = $300

0.15x = $315

x = $2100

then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300

7 0
3 years ago
Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.
Blizzard [7]

Answer:

The answer is

y = 3

y =  - 4

Step-by-step explanation:

We must find a solution where

\frac{6}{y + 1}  +  \frac{y}{y - 2}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

\frac{6}{y + 1}  \times  \frac{y - 2}{y - 2}  +  \frac{y}{y - 2}  \times  \frac{y + 1}{y + 1}

Which equals

\frac{6y - 12}{(y -2) (y + 1)}  +  \frac{ {y}^{2} + y }{(y - 2)(y + 1)}

Add the fractions

\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Simplify the right side by multiplying the fraction

\frac{6y}{(y  + 1)(y + 2)}

Set both fractions equal to each other

\frac{6y}{(y + 1)(y - 2)}  =  \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}

Since the denomiator are equal, we must set the numerator equal to each other

6y =  {y}^{2}  + 7y - 12

=  {y}^{2}  + y - 12

(y  + 4)(y - 3)

y =  - 4

y = 3

6 0
3 years ago
Read 2 more answers
Which equation is equivalent to <br> X/ +11 = 15
Lady bird [3.3K]
√x + 11=15 x=16
√x= 15-11 x=16
7 0
3 years ago
How do I solve this problem?
kondor19780726 [428]

Answer:

Its A

Step-by-step explanation:

4/5 - 0.5     Convert the fraction to a decimal:-

= 0.8 - 0.5

= 0.3

6 0
3 years ago
Question:<br> 9 1/8 + 4 5/6=?
vovikov84 [41]

Answer:

Your answer is 23/24

Please give me brainliest if helpful.

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