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4 years ago

−5(1−5k)−4(2k+5) pleas

Mathematics

1 answer:

Kazeer [188]4 years ago

5 0

Answer:

Step-by-step explanation:

-5(1 - 5k) - 4(2k + 5) <em>use distributive property a(b + c) = ab + ac</em>

= (-5)(1) + (-5)(-5k) + (-4)(2k) + (-4)(5)

= -5 + 25k - 8k - 20 <em>combine like terms</em>

= (25k - 8k) + (-5 - 20)

= 33k - 25

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geniusboy [140]

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3 years ago

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If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select

kogti [31]

Answer:

12/52 = 1/4 chance.

Step-by-step explanation:

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4 years ago

A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers,

coldgirl [10]

Answer:

18 kmh

Step-by-step explanation:

Given: Speed of cyclist is 9 km/h more than skater´s speed.

Distance covered at the given time by cyclist is 45 km and by skater is 30 km.

Let´s assume the speed of skater be "x"

∴ Speed of cyclist will be $(x+9) km/h$

Remember; time= $\frac{Distance}{speed}$

We know the time taken by both cyclist and skater are same.

∴ we can form an equation to find the speed of skater.

Time taken by cyclist= time taken by skater

⇒ $\frac{45}{(x+9)} = \frac{30}{x}$

Multiplying both side by $(x+9)\ and\ x$

⇒ $45x= 30\times (x+9)$

Using distributive property of multiplication

⇒ $45x= 30x+270$

Subtracting both side by 30x

⇒ $15x= 270$

Dividing both side by 15

⇒ $x= \frac{270}{15}$

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4 years ago

The question is in the picture. I’ll appreciate it so much !! Thank you !!!

iVinArrow [24]

Answer:

I hope this helped out!

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3 years ago

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is

Ira Lisetskai [31]

The length of the rectangle is = 72 cm

The width of the rectangle is = 56 cm

Area of the rectangle is = $length*width$

= $72\times56=4032$ cm²

As given, the other rectangle has the same area as this one, but its width is 21 cm.

Let the length here be = x

$4032=x*21$

$x=\frac{4032}{21}=192$

Hence, length is 192 cm.

We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.

So, in the new rectangle,constant of variation=k is given by,

$\frac{192}{72}=\frac{8}{3}$ or $\frac{56}{21}=\frac{8}{3}$

Hence, the constant of variation is $\frac{8}{3}$

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3 years ago