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4 years ago

??????????????????????

Mathematics

1 answer:

Degger [83]4 years ago

3 0

Answer:

The total golf balls Jack has now in terms of expression is as below

$a = 3b + 6$

Where a is total number of balls and b is number of balls in each bag.

Step-by-step explanation:

Solution:

let a be the total number of balls and b is the number of balls in each bag.

Number of bags is 3.

So total number of balls before the friend gave is $3\times b$

Now the friend has given him 6 more golf balls then the total number of balls will become 3b + 6.

Therefore, the required expression is

$a = 3b + 6$

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John and Mary Billings own a condominium with an assessed value of $110,000. If the tax rate is 25 mills per $1.00 of assessed v

Mandarinka [93]

a mill equals 0.001 so 110,000*.025 = $2,750 tax paid.

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4 years ago

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Ostrovityanka [42]

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3 years ago

27 yd 36 yd What is the length of the hypotenuse? C- yards

dybincka [34]

Answer:

The length of the hypotenuse is: 45 yards

Step-by-step explanation:

Given

a=27 yd

b=36 yd

To Determine

Hypotenuse = c

Pythagorean Theorem

For a right-angled triangle with sides a, b, and c is defined as:

$c=\sqrt{a^2+b^2}$

a=27

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$c=\sqrt{27^2+36^2}$

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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!

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3 years ago

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frosja888 [35]

The answer is y axis , y=-x

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4 years ago