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IRINA_888 [86]
3 years ago
6

Roger made a table showing he sleeps 3/8 of a day. How many days will go by before roger has slept the equivalent of one day?

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

2.66 days

Step-by-step explanation:

We know that a day has 24 hours, so if Roger sleeps 3/8 of a day that means that he sleeps 3/8 • 24 which equals to 9 hours.

Now we want to know how many days it takes Roger to sleep an equivalent of a day if he sleeps 9 hours a day. So:

24 h / 9 h = 2.66 days

Of course we can do it in an easier way, in fractions:

1 : 3/8 = 8/3

8/3 = 2.66 days

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Some students were asked what kinds of animals they have at home.
Nataly_w [17]

(a) Animals by popularity; Dogs, Cats, Others, Horses.

(b) If 250 students were interviewed, 20 students have other pets.

(c) No, it was incorrect.

Step-by-step explanation:

Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;

1. Dogs - 67%,

2. Cats - 20%

3. Others - 8%,

4. Horses - 1%.

None is not included in this list.

Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.

8% of 250 = \frac{8}{100} × 250 = 0.08 × 250 = 20.

So 20 students had other pets.

Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.

20% × x = 75, 0.2 × x = 75,

x = \frac{75}{0.2} = 375.

So if 375 students were interviewed, 75 students would have cats. So the estimate of 250 students being interviewed is incorrect.

8 0
3 years ago
Dillon has 4 blue marbles and 3 times as many red marbles.Max has 8 times as many red marbles as Dillon.How much red marbles do
SCORPION-xisa [38]
Dillion has 4 blue marbles and 12 red marbles

And max has 96 red marbles
5 0
3 years ago
Which equation could have been used to create this graph?
pishuonlain [190]
B. The y-intercept is 0 so it can't be C or D and the slope is 5/1. How I remember this is rise/run. Hope this helps!
3 0
3 years ago
20 POINTS!!!!!!
Crazy boy [7]
You will need three roots for this, so we have
Let x = -30, -10 and +20
So the factors will be (x+30)(x+10)(x-20)
The divide it to 100, this will help bring the peak up and down
So the polynomial function R(x) will become
1/100 * (x+30)(x+10)(x-20)
R(x) = 1/100 * (x+30)(x+10)(x-20)

Finding the X-intercept:
Let R(x) = 0 and solve for x.
1/100 * (x+30)(x+10)(x-20) = 0
x = -30, -10, 20 are the x-intercepts.

8 0
3 years ago
Plz do it all plz i will give brailest and thanks to best answer.
lawyer [7]
Hibsgdndgauebgisbeyj
3 0
2 years ago
Read 2 more answers
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