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2 years ago

9

At the newest animated movie, for every 999 children, there are 444 adults. There are a total of 393939 children and adults at t

he movie.How many children are at the movie?

1 answer:

bogdanovich [222]2 years ago

4 0

27 children at the movie

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What is the completely factored form 8x2-50y2?

lorasvet [3.4K]

Remember
a²-b²=(a-b)(a+b)

8x²-50y²
2(4x²-25y²)
(2)([2x]²-[5y]²)
2(2x-5y)(2x+5y)

7 0

2 years ago

If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6).

NeTakaya

Answer:

(2, -8)

Step-by-step explanation:

The coordinates of M are the average of the coordinates of X and Y.

-3 = (x + -8) / 2

-1 = (y + 6) / 2

Solving:

x = 2

y = -8

7 0

2 years ago

Mikela claims that the sum of any two numbers is greater than the larger of the two numbers. Jim claims that the sum of any two

qaws [65]

<u>ANSWER: </u>

The statement of Jim is correct

<u>SOLUTION: </u>

Given statements are

Mikela claims that sum of any two numbers is greater than the larger of the two numbers.

Jim claims that the sum of any two natural numbers is greater than the larger of the two numbers.

Let a,b be the two numbers and a is the greatest of a and b

According to the mikela statement = a + b > a

b > a – a

b > 0

Here, we got an condition that b > 0, but it may not be true always.

Above condition fails when b is either 0 or negative number.

Jim - sum of any two natural numbers is greater than the larger of the two numbers.

Let a,b be the two natural numbers. And a is the greatest of a and b

According to the jim statement = a + b > a

b > a – a

b > 0

Here, we got an condition that b > 0,

And this statement will always be true because b is an natural number, so it will be greater than 0.

Hence jim’s statement is true.

8 0

2 years ago

Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10’(of her skin cells were burned then, ho

lora16 [44]

Answer:

The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ .

Step-by-step explanation:

Given as :

The percentage of Jennie's skin cell were burned = 3 %

The quantity of Jennie's skin cell were burned = 3.7 × $10^{10}$

Let The quantity of Jennie's skin cell were not burned = x

Let Total quantity of whole skin cell = n

<u>Now, According to question</u>

The quantity of Jennie's skin cell were burned = Total quantity of whole skin cell × percentage of Jennie's skin cell were burned

i.e 3.7 × $10^{10}$ = n × 3 %

Or, 3.7 × $10^{10}$ = n × $\dfrac{3}{100}$

Or, n = 3.7 × $10^{10}$ × $\dfrac{100}{3}$

Or, n = $\frac{3.7\times 10^{12}}{3}$

i.e n = 1.233 × $10^{12}$

Or, Total quantity of whole skin cell = n = 1.233 × $10^{12}$

<u>Now, Again</u>

∵ percentage of Jennie's skin cell were burned = 3 %

So, percentage of Jennie's skin cell were not burned = 100 % - 3 % = 97 %

so , The quantity of Jennie's skin cell were not burned = 97 % of Total quantity of whole skin cell

Or, x = $\frac{97}{100}$ × n

Or, x = $\frac{97}{100}$ × 1.233 × $10^{12}$

∴ x = 119.601 × $10^{10}$

So, The quantity of Jennie's skin cell were not burned = x = 119.601 × $10^{10}$

Hence, The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ . Answer

6 0

2 years ago

At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima

Firdavs [7]

$\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle$

$x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65$
$\implies t^2=64$
$\implies t=\pm8$

7 0

2 years ago