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3 years ago

You buy a book for $12 and a CD for $6. You hand a sales cleck a $20. How much change should you get back?

Mathematics

2 answers:

Otrada [13]3 years ago

6 0

Answer:

You should get $2 in change

Step-by-step explanation:

GuDViN [60]3 years ago

5 0

Answer:

20-12-6=2

Step-by-step explanation:

why is this in college math bruh

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vitfil [10]

Answer:

Step-by-step explanation:

Joseph : y = 25x + 15

Molly: y = 25x + 25

Joseph: y = 25(4)+ 15= 100+ 15= 115

Molly: y = 25(4)+ 25= 100+25= 125

8 0

3 years ago

Read 2 more answers

• Since January 1980, the population, P, of the city of Brownville has increased closely modeling the

igomit [66]

Answer:

B) The population is increasing by 102.2% each year.

A) 720,500 represents the initial amount of people in January 1980 and 1.022 represents the increase factor that multiplies to the amount.

Step-by-step explanation:

1.022 times 100 equals 102.2% (a number in the decimals place times 100 give you the percent).

6 0

3 years ago

If z varies jointly with x and y, x = 2 and y = 2, z = 7. Find z when x = 4 and y = 8.

Wittaler [7]

Answer:

Step-by-step explanation:

z varies jointly with x and y:

z = kxy

When x = 2 and y = 2, z = 7.

7 = k(2)(2)

k = 7/4

z = 7/4 xy

When x = 4 and y = 8:

z = 7/4 (4)(8)

z = 56

7 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by

a_sh-v [17]

Answer:

Dimension of the box is $16.1\times 7.1\times 2.45$

The volume of the box is 280.05 in³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is $L=21-2h$

The width of the box is $W=12-2h$

The volume of the box is $V=L\times W\times H$

$V=(21-2h)\times (12-2h)\times h$

$V=(21-2h)\times (12h-2h^2)$

$V=252h-42h^2-24h^2+4h^3$

$V=4h^3-66h^2+252h$

To maximize the volume we find derivative of volume and put it to zero.

$V'=12h^2-132h+252$

$0=12h^2-132h+252$

Solving by quadratic formula,

$h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}$

$h=\frac{132\pm72.99}{24}$

$h=2.45,8.54$

Now, substitute the value of h in the volume,

$V=4h^3-66h^2+252h$

When, h=2.45

$V=4(2.45)^3-66(2.45)^2+252(2.45)$

$V\approx 280.05$

When, h=8.54

$V=4(8.54)^3-66(8.54)^2+252(8.54)$

$V\approx -170.06$

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is $L=21-2(2.45)=16.1$

The width of the box is $W=12-2(2.45)=7.1$

So, Dimension of the box is $16.1\times 7.1\times 2.45$

6 0

3 years ago

Please Answer ASAP According to the table, which ordered pair is a local maximum of the function, f(x)? (0, 64) (3, –35) (5, 189

Katarina [22]

The ordered pair that represents a maximum is (5,189)

6 0

3 years ago