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3 years ago

Jason has 60 toy cars. 30% of the cars are blue

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

Answer:

whats the question

30% of 60 is 18

so 18 blue cars

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What is the factorization of the expression below?

olchik [2.2K]

Answer: D. (x-6)(x-6)

Step-by-step explanation:

We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:

$x^{2}-12x+36$ (1)

First term: $x^{2}$

Third term: $36=6^{2}$

If we factorize this expression we have:

$(x-6)(x-6)=x^{2}-6x-6x+36=x^{2}-12x+36$

As we can see, the trinomial (1) has two factors:

$(x-6)$ and $(x-6)$

Therefore, the correct option is D.

8 0

3 years ago

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is

Hitman42 [59]

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = $\frac{dx}{dt}$

ship B is sailing north at 20 km/h = $\frac{dy}{dt}$

here x and y are the sailing at t = 4 : 00 pm for ship A and B respectively

so we get x = 4 ×25 =100 km/h

y = 4× 20 = 80 km/h

let z is the distance between the ships, we need to find $\frac{dz}{dt}$ at t = 4 hr

At noon, ship A is 130 km west of ship B (12:00 pm)

so equation will be

$z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we | | get \\$

$z^2 = 30^2 + 80^2\\z =\sqrt{7300} km/h$

derivative first equation w . r. to t we get

$2z\frac{dz}{dt} =$ $-2(130-x)\frac{dx}{dt}$ $+2y\frac{dy}{dt}$

$\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]$

$\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }$

$= \frac{1100}{85.44}\\ = 12.87km/h$

8 0

3 years ago

Which expression is equivalent to 2(t - 4) + 1?

MissTica

Answer:

I cant really see any answer but if I had to simplify, then the answer would be 2t - 8 + 1, which would then be simplified to 2t - 7.

Have a nice and wonderfull day.

Brainliest would be appreciated.

Step-by-step explanation:

8 0

3 years ago

What is a prime number

Viefleur [7K]

A prime number is a whole number greater than 1 , whose only two whole number are 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

Hope this helped you! ^^

8 0

3 years ago

Lisa has entered a check payment of $213.75 in her checkbook. If the old balance was $794, what is her latest balance?

Tomtit [17]

$794-$213.75= $580.25
Check payment would be taken out of her account.

5 0

3 years ago

Read 2 more answers