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Vlada [557]
3 years ago
15

If time is four hours from now, the time left till midnight would be quarter that if it is one hour from now. What time is it no

w?
Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

The time now is 7 pm

Step-by-step explanation:

Suppose that now is the time T.

We know that:

"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".

Then:

if we define midnight as 12, and we assume that T is in the pm range.

Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))

With this in mind, we can write the problem as:

12 - (T + 4) = (1/4)*( 12 - (T + 1))

Now we can solve this for T.

12 - T - 4 = (1/4)*(12 - T - 1)

8 - T = (1/4)*(11 - T)

4*(8 - T) = 11 - T

32 - 4*T = 11 - T

32 - 11  = -T + 4*T

21 = 3*T

21/3 = T

7 = T

Then T = 7 pm

The time now is 7 pm

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consider the polynomial 2/3x (2x-3) - (x-7) (x+7) when simplified, what is the coefficent of the quadratic term?
Svet_ta [14]

Answer:

x^2 - 6x + 147 so the coefficient is 1

Step-by-step explanation:

First, simplify the equation.

1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)

2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)

3. Expand -(x-7)(x+7) = -x^2+49

Combine to get (x^2 - 6x)/3 +49

Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.

4 0
3 years ago
What fraction makes this division<br> sentence true? <br> 2/3 divided by ? = 4
NeX [460]

Answer:

1/6

Step-by-step explanation:

The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.

2/3 x 6 = 4

So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.

The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.

(2/3)/(1/6) = 4

6 0
3 years ago
A box is filled with 3 yellow cards, 2 blue cards, and 7 brown cards. A card is chosen at random from the box. What is the proba
Otrada [13]

We need to find the probability of the card chosen at random is yellow or brown.

So, since there are 3 yellow cards and 7 brown cards, the total numbers of cards that are yellow or brown is:

3+7=10

Now, the probability that the chosen card is yellow or brown can be found by dividing the above value by the total number of cards in the box.

The total number of cards in the box is:

3+7+2=12

Thus, that probability is given by:

\frac{10}{12}=\frac{10\div2}{12\div2}=\frac{5}{6}

Therefore, the answer is:

\frac{5}{6}

3 0
1 year ago
Help ASAP pleaseee!
natulia [17]

Answer:

<h2><em>11.6%</em></h2>

Step-by-step explanation:

The probability of getting a 6 is 1/6.  

The probability of not getting a 6 is 5/6

We roll a die 4 times and want 2 sixes, and 2 not sixes.

i.e.exact 2 6's  

We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

Nearest tenth of percent is 0.1157×100=11.6%

Ans :11.6%

3 0
3 years ago
Help me graph it please
VikaD [51]
Here's a rough graph haha
the graph has a factor of 4/1 (considered the "slope"), and the vertex is translated 2 units to the right (whatever is in the | lines | has the negative/positive flipped), and 6 units down.

8 0
3 years ago
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