All categories

2 years ago

Drag each expression or fraction to show whether it is equivalent to 98 , 89 or neither.

Mathematics

2 answers:

Alexxandr [17]2 years ago

8 0

8 divided by 9 goes to 8/9
along with 16/19 and 1/18 *16

Sergio [31]2 years ago

5 0

8/9 = 8/9
1/8 x 9 =9/8
18/16 =9/8
16/18 = 8/9
1/18 x 16 = 8/9
1/8 x 1/9 = neither

You might be interested in

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$

The minimum cost occurs at the point where the derivative equals zero.

$C^{'}=\frac{-27840+32\pi r^3}{3r^2}$

$When \:C^{'}=0$

$-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518$

Recall:

$h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet$

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0

2 years ago

Engineers want to design brakes that will reduce stopping distances by 10%. How would this change the equation relating speed s,

AlekseyPX

For the answer to the question above, we will use this formula to solve this problem
d = kv^2 

plugging in, 
4.2 = k*10^2 
k = 0.042 

d = 0.042v^2 

the revoised equation will be 
d = 0.9*0.042v^2 , i.e. 

d = 0.0378v^2

I hope my answer helped you

8 0

3 years ago

Mateo He’s going to solve the equation below. Which of the following represents the equation after combining the terms? -8x +23-

miv72 [106K]

Answer:

-21.5

Step-by-step explanation:

-8x+23-22+9=182

-8x+1+9=182

-8x+10=182

-10 -10

-8x=172

x=172÷-8

x=-21.5

-21.5 IS THE ANSWER

7 0

3 years ago

72 inches equals how many yards?

ValentinkaMS [17]

Answer:

2 yards

Step-by-step explanation:

divide the length value by 36

72/36=2

7 0

2 years ago

What is the answer and how would I solve this?

ipn [44]

Answer:

Step-by-step explanation:

The answere is no solution, there are no values of X that makes the inequality true, therefore there is no solution

7 0

3 years ago