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2 years ago

( 2 x -6 ) +4 ( x - 3 )

Mathematics

1 answer:

OLga [1]2 years ago

3 0

(2x-6) + 4(x-3) {distribute 4 out and expand problem}
2x+6+4x-12 {combine like terms}
6x-6 {your answer}

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When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to

Liula [17]

878/3 is 28 with a remainder of 10! The error is when they subtracted 258-248 wrong

3 0

3 years ago

Read 2 more answers

A professor gives a statistics exam. The exam has 100 possible points. The scores for the students in the second classroom are a

Vesna [10]

Answer:

N = 9

M = 87.11

Step-by-step explanation:

According to the situation, the data provided and the solution are as follows

The scores for the student in the classroom is

= 88 88 92 88 88 72 96 88 84

The different student's number of scores is 9

The solution of new n and M is shown below:-

Sample size (n) = 9

Sample mean (m) is

$= \frac{Sum\ of\ all\ data\ values}{Sample\ size}$

= $\frac{88 + 88 + 92 + 88 + 88 + 72 + 96 + 88 + 84}{9}$

$= \frac{784}{9}$

= 87.11

3 0

2 years ago

It’s 500 seconds or eight minutes greater

Citrus2011 [14]

The answer is 500 seconds it’s 5.33 minutes.

7 0

3 years ago

A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d

zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75 $x^{2}$

=1980 + 7.5x -3.75 $x^{2}$

=1980-3.75 (-2x+ $x^{2}$ ) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+ $x^{2}$ )

=1980 +3.75 -3.75( $x^{2}$ -2x +1)

=1983.75 -3.75 $(x-1)^{2}$ ---->(1)

as $(x-1)^{2}$ is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of $(x-1)^{2}$ = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0

3 years ago

Find the volume of the cylinder.

Georgia [21]

<h3>Answer:</h3><h3>Exact volume = 32pi</h3><h3>Approximate volume = 100.48</h3>

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

6 0

2 years ago