All categories

3 years ago

What's the common denominator for 9 and 12?

Mathematics

1 answer:

klasskru [66]3 years ago

6 0

A common denominatortor 9 and 12 is 3 and 6

You might be interested in

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a

arlik [135]

Answer:

Step-by-step explanation:

8 0

3 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago

I NEED HELP!<br>I'll give brainlyest to the person who's right

amm1812

Answer:

distributive

Step-by-step explanation:

the number out side the parenthesis, 3 in this case, is being distributed to the numbers inside the parenthesis

7 0

2 years ago

Read 2 more answers

From 42 acres to 72 acres (round to the nearest percent

guajiro [1.7K]

Answer:

42 acres to 72 acres, there is an increase of 30 acres

percentage wise

72-42=30

30/72=.4166...

therefore there is also a 41.6% increase

Step-by-step explanation:

71.42 Percentage change:×100%

Now, the change is given from 42 acres to 72 acres, therefore

Change= 72-42=30

⇒Percentage change= ×100%

= 71.42

8 0

2 years ago

17-3(3-4x)-8=5(x+9)-6

VashaNatasha [74]

X=59/12 or x= 4 11/12

6 0

2 years ago