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kati45 [8]
3 years ago
15

Four times the larger of two numbers is equal to seven times the smaller the sum of the numbers is 22 find the numbers

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

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3 years ago
Quadrilaterals ABCD and PQRS shown below are two similar figures.<br>Find the values of x and y.​
nadezda [96]

Answer:

x = 12, y = 16

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{AD}{PS} = \frac{DC}{SR} , substitute values

\frac{20}{2x+6} = \frac{18}{27} ( cross- multiply )

18(2x + 6) = 540 ( divide both sides by 18 )

2x + 6 = 30 ( subtract 6 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

-------------------------------------------

and

\frac{AB}{PQ} = \frac{DC}{SR} , substitute values

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3 0
3 years ago
Solve for n:<br> (n+4)/10 = (n-8)/2
nalin [4]

Answer:

n=11

Step-by-step explanation:

(n+4)/10 = (n-8)/2

We can solve using cross products

(n+4) * 2 = 10 * ( n-8)

Distribute

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2n+8-2n = 10n-80-2n

8 = 8n-80

Add 80 to each side

8+80= 8n-80+80

88 = 8n

Divide each side by 8

88/8 = 8n/8

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4 0
2 years ago
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Answer:

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Step-by-step explanation:

4 0
3 years ago
What is the result of subtracting the second equation from the first? \begin{aligned} x-3y &amp;= 6 \\\\ -8x-y &amp;= 6 \end{ali
Mila [183]

Answer:

Therefore the required result is 9x-2y =0.

Step-by-step explanation:

Given equation are

x-3y =6.....(1)

-8x-y=6 .....(2)

Subtracting equation (2) from (1)

 x  -  3y = 6

-8x  -  y=  6

+     +      -                 [ The sign of equation (2)  will be change in case of          

_________               subtraction and in case of plus the signs remains same ]

(x+8x)-3y+y=6-6   [ adding the like terms]

⇒9x-2y =0

Therefore the required result is 9x-2y =0.

8 0
3 years ago
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