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2 years ago

5

Sean's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 18 coffees in all, 9 of which were regula

r. What percentage of the coffees were regular?

2 answers:

erastovalidia [21]2 years ago

8 0

Answer:

50% of the regular coffee's were regular

stiv31 [10]2 years ago

7 0

50%
Explanation:
multiply 9 • 100
the divide 900 into 18
it should give you 50

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The area of a square is 81square centimeters. First, find the length of a side. Then, find the length of the diagonal?

brilliants [131]

Part 1:

The length of a side is 9 cm.

The square root of 81 is 9. We have to find the square root bc we know it is a square.

Part 2:

The hypotenuse (or diagonal) is c.

Using the Pythagorean Theorem
$a^{2} + {b}^{2} = {c}^{2}$
you would know that 9 is a and b.

${9}^{2} + {9}^{2} = {c}^{2}$
We know that
${9}^{2} = 81$
so you add 81 to 81.

$81 + 81 = 162$
81 and 81 make 162.

So you know ...

${c}^{2} = 162$
You take the square root of 162.

$\sqrt{162} = 12.73$
well almost.

You can write your answer as

$about \: 12.73 cm$
or
$\sqrt{162} cm$

Hope I helped!

3 0

3 years ago

Find the domain of the rational function.<br><br> C(x) = x+9/X^2 -16

scoundrel [369]

Answer:

Domain = {x : x ≠ 4 , -4} or (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Step-by-step explanation:

<u>TO FIND :-</u>

Domain of $C(x) = \frac{x + 9}{x^2 - 16}$

<u>SOLUTION :-</u>

Domain of a function is a value for which the function is valid.

The function $C(x) = \frac{x + 9}{x^2 - 16}$ is valid until the denominator is 0.

So make sure that the denominator must not be 0.

$=> x^2 - 16 > 0$

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.

Add 16 to both the sides

$=>x^2 - 16 + 16 > 0 + 16$

$=> x^2 > 16$

$=> x > \sqrt{16}$

$=> \boxed{x > 4} \: or \:\boxed{x > -4}$

We can say that <u>4 & -4 can't be domains</u> because these values will make the function undefined.

Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.

<u>CONCLUSION :-</u>

The function will be valid for any value of 'x' except 4 & -4. So in :-

Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Set builder notation , it can be written as → {x : x ≠ 4 , -4}

6 0

3 years ago

The value of y varies directly as x, and y is 10 when x is 5. What is the value of y when x is 4?

Ksenya-84 [330]

Answer:

8.

Step-by-step explanation:

As seen in the pattern y seems to be two times x so 4 x 2 = 8.

Hope that helps

8 0

3 years ago

For any two nonzero integers the product and quotient have the same sign

tatiyna

Truer words are seldom if ever written.

7 0

3 years ago

Which of the following equations models the same function as 2x-3y=6 A, y=2/3x-15 B, y=-2/3x-2 C, y=-2/3x-15 D, y=2/3x-2

Thepotemich [5.8K]

Answer:

D. y= 2/3x-2

Step-by-step explanation:

y=6-2x/-3

-2+2/3x

2/3x-2=y

8 0

3 years ago