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3 years ago

Any number which is divisible by both 3 and 5 must…..

Mathematics

2 answers:

mariarad [96]3 years ago

8 0

The correct answer would be d

Mice21 [21]3 years ago

5 0

Answer:

Step-by-step explanation:

A is wrong because a factor of 15 is not divisible by both

B is wrong because 30 is even and divisible by both

C is wrong because 30 does not end with a 5

D is correct because there are no numbers other than multiples of 15 that doesn't lead to a decimal when you divide by those numbers

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Use the information provided to write the standard form equation of each ellipse.

Sholpan [36]

Answer:

Step-by-step explanation:

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3 years ago

Mealworms are a healthy food for wild song birds. Adam buys a 3 oz container of mealworms for $7.35. Marco buys a 5 oz container

Artemon [7]

Answer: 5 oz

Step-by-step explanation:

you get more and for the price of 7.35 it’s not worth only getting three oz

3 0

3 years ago

If (x, 1/100) lies on the graph of y = 10^x, then x = 2 -1/2 -2

stepladder [879]

TLDR: The answer is -2.

What you have here is a function with a point on the graph. It is understood that “x” represents the input and “y” represents the output, so we’re looking for the right “x” that will give y = 1/100.

To start, we can substitute the y-value into the function like this:

y = 10^x

1/100 = 10^x

From here, we can take two different pathways; one requires conceptual knowledge while the other relies on the knowledge of logarithms.

Conceptual

For the conceptual, we know that 100 = 10^2, so 1/100 is the same as 1/10^2. We also know that the inverse of a fraction is the same as the number to the negative of its power (for example, 1/2 is equal to 2^-1), so we know that 1/10^2 is the same as 10^-2. So far, we have learned that:

1/100 = 10^x

1/10^2 = 10^x

10^-2 = 10^x

So, to satisfy this, “x” must equal -2.

Logarithms

For logarithms, we can use powers and math to actually calculate the value of “x”. We know that:

1/100 = 10^x

To solve this, we need “x” to be by itself on one side of the equation. To do this, we can perform the inverse function of an exponent, which is a logarithm. In this case, the base of 10^x is 10, so we need a “base 10” logarithm to solve this function. Apply this function to both sides and simplify:

1/100 = 10^x

log10(1/100) = log10(10^x)

log10(1/100) = x

The log10 function is the inverse of 10^x, so they cancel out to leave “x”. Plug log10(1/100) into a calculator, and you find that x = -2.

Hope this helps!

8 0

3 years ago

Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei

Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation: