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4 years ago

What is the difference between 3/7 and 1/14?

1 answer:

8 0

If you use division, 3 divided by 7 is 0.428571429...(terminating decimal like the pi ) and just consider that as 42%.
If you divide 1 and 14, it is 0.0714..(also a terminating decimal .)
And consider that 7% because 0.07 is 7%.
42% is greater than 7%, so that's a difference between those two fractions.

or

you can just think of 2 whole breads, one is split to 7 pieces, and the other is split to 14 pieces. If I take 7 slices from the first bread, and 13 slices from the other, which one would be bigger? It should be the first bread.
But remember,
The bigger the denominator is, the bigger the slice is.

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if motorist drove a distance of 90km at constant speed for the first 40km and then drove 30 km/hr faster for the rest of the jou

elena55 [62]

Answer:

Step-by-step explanation:

The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.

The whole journey took him 1hr.

Let S denotes the average speed (in km/hr) for the first 40 km.

Hence we get the following relation,

40/S + (90 - 40)/(S + 20) = 1

or 50/(S + 20) = 1 - 40/S = (S - 40)/S

or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0

or S = 80 (km/hr) [Ans]

[S cannot be negative value]

3 0

3 years ago

Find the volume of the pentagonal prism?<br><br> please help me

NikAS [45]

Answer:

126 cm^3

Step-by-step explanation:

Use volume formula (Bh=V): 21×6=126

4 0

3 years ago

Can someone answer the blank ones please!!!

Katyanochek1 [597]

The equation is $155p+225f=5050$ .

If p = 17, f = 13. This value is a reasonable value in this context.

If f = 28, p = -10. This value is not reasonable in this context.

Step-by-step explanation:

Step 1:

$155p+225f=5050$ ,

where p is the part-time memberships and f is the number of full-time memberships.

Kiri needs to make $5,050 a month from this rented space.

Each part-time membership costs $155 and each full-time membership costs $225.

Step 2:

We need to calculate the value of f when p = 17,

Substituting the value, p = 17 in the equation, we get;

$125(17)+225f=5050$ , $225f=5050-125(17),$

$225f=2925, f = \frac{2925}{225}, f =13.$

The value of f = 13 and p = 17. This is a reasonable value in this context.

Step 3:

We need to calculate the value of p when f = 28,

Substituting the value, f = 28 in the equation, we get;

$125p+225(28)=5050$ , $125p=5050-225(28)$

$125p=-1250, p = \frac{-1250}{125}, p=-10.$

The value of f = 28 and p = -10. This is not a reasonable value in this context. as the values of f and p cannot be negative for this given equation.

5 0

3 years ago

THE CHOICES IS IN THE PIC.

Ronch [10]

Answer:

40. D

41. D

42. D

43. C

Hope this helps

7 0

3 years ago

What is the fifth term in the binomial expansion of (x + 5)8?

AlekseyPX

$(a+b)^n\\
\displaystyle
T_r=\binom{n}{r-1}a^{n-r+1}b^{r-1}\\\\
T_5=\binom{8}{5-1}x^{8-5+1}\cdot5^{5-1}\\
T_5=\binom{8}{4}x^4\cdot5^4\\
T_5=\dfrac{8!}{4!4!}\cdot x^4 \cdot5^4\\
T_5=\dfrac{5\cdot6\cdot7\cdot8}{2\cdot3\cdot4}\cdot x^4\cdot5^4\\
T_6=2\cdot7\cdot x^4\cdot5^5\\
T_6=43750x^4
$

5 0

3 years ago

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