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3 years ago

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

Read 2 more answers

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