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2 years ago

5x-60 = -60 +2x +3x how many solutions does the equation have

Mathematics

1 answer:

xeze [42]2 years ago

5 0

Answer:

$infinitely \: many \: solution$

Step-by-step explanation:

1) Cancle -60 on both sides.

$5x = 2x + 3x$

2) Simplify 2x + 3x to 5x.

$5x = 5x$

3) Since both sides are equal, there are infinitely many solutions.

$infinietly \: many \: solution$

Therefor, this equation has infinitely many solutions.

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1 year ago

Which of the following is equivalent to -2/3?

arlik [135]

Answer:

Step-by-step explanation:

-2/3 = -4/6 = -6/9 = -8/12

= -10/15 = -12/18 = -14/21 = -16/24

= -18/27 = -20/30 = -22/33 = -24/36

= -26/39 = -28/42 = -30/45 = -32/48

= -34/51 = -36/54 = -38/57 = -40/60

= -42/63 = -44/66 = -46/69 = -48/72

= -50/75 = -52/78 = -54/81 = -56/84

= -58/87 = -60/90 = -62/93 = -64/96

= -66/99 = -68/102 = -70/105 = -72/108

= -74/111 = -76/114 = -78/117 = -80/120

= -82/123 = -84/126 = -86/129 = -88/132

= -90/135 = -92/138 = -94/141 = -96/144

= -98/147 = -100/150 = -102/153 = -104/156

= -106/159 = -108/162 = -110/165 = -112/168

= -114/171 = -116/174 = -118/177 = -120/180

= -122/183 = -124/186 = -126/189 = -128/192

= -130/195 = -132/198 = -134/201 = -136/204

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= -146/219 = -148/222 = -150/225 = -152/228

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2 years ago

Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the

Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the number of hours she works.

She need to work to earn an additional $260.

To find:

Number of hours she need to work to earn an additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

$A\propto t$

$A=kt$ ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

$54.60=k(6)$

Divide both sides by 6.

$\dfrac{54.60}{6}=k$

$9.1=k$

Put k=9.1 in (i).

$A=9.1t$

Substitute A=260 in the above equation.

$260=9.1t$

Divide both sides by 9.1.

$\dfrac{260}{9.1}=t$

$28.5714=t$

$t\approx 29$

Therefore, she need to work extra about 29 hours to earn an additional $260.

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2 years ago

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