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Dafna11 [192]
3 years ago
11

Which of the following is a true statement?

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:

3/8 is less than 7/16. 3/8 is equal to 6/16.

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Solve the system y= 4x + 1 and 3x+2y =13
Irina18 [472]

Given :

{\qquad \sf \dashrightarrow  y= 4x + 1 \: –––– \sf \:  (i)}

{\qquad \sf \dashrightarrow   3x + 2y = 13 \: –––– \sf \:  (ii)}

Now, Substituing the value of y in equation (ii) :

{\qquad \sf \dashrightarrow   \: 3x + 2y = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 2(4x + 1) = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 8x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x  = 13 - 2   }

{\qquad \sf \dashrightarrow   \: 11x  = 11   }

{\qquad \sf \dashrightarrow   \: x  =  \dfrac{11}{11}    }

{\qquad \sf \dashrightarrow   \bf \: x  = 1   }

Now, substituting the value of x in equation (i) :

{\qquad \sf \dashrightarrow  y= 4x + 1}

{\qquad \sf \dashrightarrow  y= 4(1) + 1}

{\qquad \sf \dashrightarrow  y= 4 + 1}

{\qquad \bf \dashrightarrow  y= 5}

3 0
2 years ago
The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar
dimulka [17.4K]

Answer:

15x^2+5xy-125=0

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

l = x\sqrt{100} = 10x

Width of rectangle, w =

w = \dfrac{y}{2} +\dfrac{3x}{2}

Area of rectangle = 125 square cm.

Area of rectangle =

A =l\times w

Putting values, we get,

125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0

is the required equation.

7 0
3 years ago
Read 2 more answers
Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p)eft parenthesis
OLEGan [10]

Answer:

960 sprinkles

Step-by-step explanation:

x = sprinkles

For this problem we will create a ratio

\frac{24}{384} :\frac{60}{x}

24x=384*60

24x=23,040

x=23,040/24

x=960

Stan would need 960 sprinkles!

Hope this helps!

(pls mark as brainiest)

Thanks!

5 0
3 years ago
Read 2 more answers
Find the perimeter of a square pool with a length of 14 feet
slamgirl [31]
56 feet.....................
5 0
3 years ago
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Determine the Value of x,y and z.
Aleksandr-060686 [28]

Answer:

x=9

y=16

z=12

Step-by-step explanation:

7 0
3 years ago
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