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Montano1993 [528]

3 years ago

13

A 100-meter-long christmas train needs 30 seconds to cross a 400-meter-long bridge. assuming the train goes at a steady speed, h

ow fast is it?

1 answer:

san4es73 [151]3 years ago

8 0

Length of train : 100
length of bridge : 400
distance covered by the train to cross the bridge : (100 + 400) = 500
time taken by the train to cross : 30

speed = distance / time
speed = 500/30
speed = 16.67 meters per second <===

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Elissa owns 28% of the grumman corporation. the rest of the shares are owned equally by the remaining six shareholders. what per

skad [1K]

100%-28= 72 divide by 6 = 12% each

6 0

3 years ago

Read 2 more answers

The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.

Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

$\overline{CD} = 12 \: units$

$\overline{C'D'}$

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

$\overline{C'D'} = n \times \overline{CD}$

Option A

If n=3/2, then

$\overline{C'D'} = \frac{3}{2} \times 12 = 3 \times 6 = 18 \: units$

This is true.

Option B

If n=4, then

$\overline{C'D'} = 4 \times 12 = 36 \: units$

This is false.

Option C

If n=8, then

$\overline{C'D'} = 8 \times 12 = 96 \: units$

This too is false.

Option D

If n=2, then

$\overline{C'D'} = 2 \times 12 = 24 \: units$

This is true

Option E

If n=3/4, then

$\overline{C'D'} = \frac{3}{4} \times 12$

$\overline{C'D'} = 3 \times 3 = 9 \: units$

This is also true.

4 0

3 years ago

Solve the following system of equations. 3x + 2y - 5 = 0 x = y + 10 Make sure there are NO SPACES in your answer. Include a comm

murzikaleks [220]

ANSWER

The solution to the system is

$x=5,y=-5$

EXPLANATION

The system of equations are:

$3x + 2y - 5 = 0 - - (1)$

and

$x = y + 10 - - (2)$

We put equation (2) in to equation (1) to get,

$3(y + 10) + 2y - 5 = 0$

We expand the parenthesis to obtain,

$3y + 30 + 2y - 5 = 0$

We group like terms to obtain,

$3y + 2y + 30 - 5 = 0$

$5y + 25 = 0$

This implies that,

$5y = - 25$

We divide through by 5 to get

$y = - 5$

We substitute the value of y in to equation (1) to get,
$3x + 2( -5 ) - 5 = 0$

$3x - 10- 5 = 0$

This implies that

$3x = 15$
We divide both side by 3 to get,

$x = 5$

7 0

3 years ago

Read 2 more answers

if f(x) is the total cost in dollars of x candies which of the following statements best describe meaning of F(2) =6

aalyn [17]

Answer:

The total Cost of 2 candies is $6.00.

Step-by-step explanation:

We are told that f(x) represents the cost of candy, and that x represents the number of candies.

f(2) means that x=2, which is 2 candies; f(2) = 6 means that the cost of 2 candies is $6.

8 0

4 years ago

Find the quotient.n^12 / n^4 =There is a picture if you need it.

Alja [10]

ANSWER:

$n^8$

STEP-BY-STEP EXPLANATION:

We have the following expression

$n^{12}\div n^4$

In this case, the exponents are subtracted since it is a division, therefore we would have:

$\begin{gathered} n^{12}\div n^4=n^{12-4} \\ n^{12}\div n^4=n^8 \end{gathered}$

8 0

1 year ago