What is the number that have 6 odd factors?

yulyashka [42]

Answer:

I think it would be 15

Step-by-step explanation:

Because if you split the number line into 6 different sections (with the 15 on the left side and the 16 on the right side) and shade/fill in 2 of those, you would be closer to 15.

6 0

2 years ago

A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the

Kay [80]

Answer: The required number of quarters in the collection is 11.

Step-by-step explanation: Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05, 1 dime = $ 0.10 and 1 quarter = $0.25.

Then, according to the given information, we have

$x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

$(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)$

and

$y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Comparing the values of y from equations (iv) and (v), we get

$47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.$

Thus, the required number of quarters in the collection is 11.

7 0

2 years ago

A race

sashaice [31]

Answer: 187.7 mph

Step-by-step explanation:

v = 125 mph

t = 1.2 min

v2 = ?

t2 = 0.8 min

We can use the rule of 3 here. It's the inverse rule of 3 because as time decreases, speed increases.

$\frac{125mph}{x} =\frac{1.2min}{0.8min}$

$x = \frac{(125)(1.2)}{0.8}$

$x=187.5mph$

7 0

3 years ago

You have two coupons, one is for $25 off and the other is for 25% off. When would you use the $25 off coupon? When would you use

Brut [27]

Answer:

If I had two coupons, one for $ 25 off and the other for 25% off, to determine when I would use the $ 25 off coupon and when I would use the 25% off coupon, and when it would not matter which coupon I would use, I must carry out the following reasoning:

The $ 25 off coupon is a flat coupon, that is, it does not adapt to the price of the thing to be paid, but rather maintains its value constantly. Therefore, its utilization will be higher if those $ 25 represent a high value compared to the initial price of the product: if the thing is worth $ 50, a $ 25 off coupon represents half its value, while if the thing is worth $ 500, that same coupon will only represent 5% of it. Therefore, I would use the coupon for things that are worth between $ 25 and $ 99.

Instead, the 25% off coupon is a variable coupon, which is adapted according to the value of the product. In other words, a discount will always be made for 25% of said value: if the product is worth $ 80, the discount will be $ 20 (80 x 0.25), while if the product is worth $ 1,000, the discount will be $ 250 (1000 x 0.25 ). Therefore, I would use the coupon for products with a price greater than $ 100, that is, from $ 101 and up.

Finally, since 25% of $ 100 is $ 25, if you buy something of that value, it would be indistinct to use either of the two coupons.

8 0

3 years ago

What percent is 350 from 125

natulia [17]

Answer:

35.71

Step-by-step explanation:

6 0

2 years ago