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Gwar [14]
3 years ago
9

Three more than the quotient of a number and 6 is 8.

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

x/6 + 3 = 8

x/6 = 5

x = 30

Step-by-step explanation:

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Kimmi and her mom count 254 guests coming to the wedding. There are 9 tables at the wedding. How many guests sit at each table?
valkas [14]

Answer:

28 guests with 2 guests remaining

Step-by-step explanation:

254/9 = 28.2222222

so 28 remainder 2

hope this helps :) mark brainliest?

6 0
2 years ago
Evaluate the integral ∫2−1|x−1|dx
defon

I think you might be referring to the definite integral,

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx

Recall the definition of absolute value:

|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

Then |x-1|=x-1 if x\ge1, and |x-1|=1-x is x. So spliting up the integral at <em>x</em> = 1, we have

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx

The rest is simple:

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}

5 0
3 years ago
A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price.The customer was charged a 7%
Tems11 [23]

Answer:

The customer's total cost for the DVD is $19.26

Step-by-step explanation:

Store buy the dvd for $12.00.

The store price is $12.00+50% more

The store price= $12.00 *(1+0.5)= $18.00

Final price (tax added)= $18.00 + 7%

Final price= $18.00 * (1 + 0.07)= $19.26

3 0
2 years ago
Read 2 more answers
Jaylen wants to buy a book about animals.The original price is $4. What is the sale price
forsale [732]
The answer is $2.00 hope this helps
5 0
2 years ago
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​
Nitella [24]

The composite function as shown is g(f(x)) =\sqrt{12x^3+32x^2}

<h3>Composite functions</h3>

Given the following fnctions

f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}

The composite function g(f(x)) is expressed as:

g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}

Hence the composite function as shown is g(f(x)) =\sqrt{12x^3+32x^2}

Learn more on composite function here: brainly.com/question/10687170

4 0
2 years ago
Read 2 more answers
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