Ask question

Ask question

All categories

4 years ago

11

Evaluate the expression

1 answer:

fgiga [73]4 years ago

4 0

Simplify the following:
2^3 (4×36/12 + 1/4)

4×36/12 = (4×36)/12:
2^3 ((4×36)/12 + 1/4)
2^3 = 2×2^2:
2×2^2 ((4×36)/12 + 1/4)
2^2 = 4:
2×4 ((4×36)/12 + 1/4)
2×4 = 8:
8 ((4×36)/12 + 1/4)
36/12 = (12×3)/12 = 3:
8 (4×3 + 1/4)
4×3 = 12:
8 (12 + 1/4)
Put 1/4 + 12 over the common denominator 4. 1/4 + 12 = 1/4 + (4×12)/4:
8 1/4 + (4×12)/4
4×12 = 48:
8 (1/4 + 48/4)
1/4 + 48/4 = (1 + 48)/4:
8 (1 + 48)/4
1 + 48 = 49:
8×49/4

8×49/4 = (8×49)/4:
(8×49)/4
8/4 = (4×2)/4 = 2:
2×49
2×49 = 98:
Answer: 98

You might be interested in

Point A is at (-7, -9) and point M is at (-0.5, -3).

Anit [1.1K]

Answer:

<em>B ( 6 , 3 ) </em>

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

Coordinates of midpoint are ( $\frac{x_{1} +x_{2} }{2}$ , $\frac{y_{1} +y_{2} }{2}$ )

~~~~~~~~~~~~~~~~~~

A ( - 7 , - 9 )

B ( x , y )

M ( - 0.5 , - 3 )

$\frac{-7+x}{2}$ = - 0.5 ⇒ <em>x = 6</em>

$\frac{-9+y}{2}$ = - 3 ⇒ <em>y = 3</em>

<em>B ( 6 , 3 )</em>

8 0

3 years ago

Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o

Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, $\mu$ = 5.5 mins

Standard deviation, $\sigma$ = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ $z_1=\frac{x_1-\mu}{\sigma}$ ...raw score, $x_1$ = $5.4$

⇒ Plugging the values.

⇒ $z_1=\frac{5.4-5.5}{0.4}$

⇒ $z_1=-0.25$

For raw score 5.5 the z score is.

⇒ $z_2=\frac{5.8-5.5}{0.4}$

⇒ $z_2=0.75$

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ $P(5.4$

⇒ $P(-0.25$

⇒ $P(z$

⇒ $z(1.5)=0.7734$ and $z(-0.25)=0.4013$ .<em>..from z -score table.</em>

⇒ $0.7734-0.4013$

⇒ $0.3721$

To find the percentage we have to multiply with 100.

⇒ $0.3721\times 100$

⇒ $37.21$ %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0

3 years ago

A couch that regularly sells for $450<br> was discounted by 30% off.

vaieri [72.5K]

Answer:

The price after the discount would be $315.

8 0

3 years ago

What is the correct answer?

Nastasia [14]

Answer:

C) (-3, -1)

Step-by-step explanation:

y = 5/3x + 4

When x = 0, y = 4

When y = 0, x = -2.4

graph the points: (0, 4) and (-2.4, 0)

y = -2/3x - 3

When x = 0, y = -3

When y = 0, x = -4.5

graph the points: (0, -3) and (-4.5, 0)

The lines will cross at point: (-3, -1)

4 0

3 years ago

Pick the number of the equation that matches this sentence. Four times a number less 10 is equal to 16.

Katen [24]

Answer:

2. 4(x-10) = 16

7 0

2 years ago