Difference between 42.4 and 3.74

Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The first length is 30 3.4 inches. The second lengt

stich3 [128]

Common denominators!

If you have to add... 3 fractions with 4 as the denominators: 
Then you can combine the numerators: 

a/c+ b/c = (a+b)/c and a/d + b/d + c/d = (a+b+c)/d 

Let's plug in the numbers.

a=3, b=1, c=1, d =4 
3/4 + 1/4 + 1/4 = 5/4 or 1 1/4! 

So the equation for the problem: 

Lt = L1+ L2 + L3 + L4 or 
L4 = Lt - L1 - L2 - L3 Plug in the numbers 

L4 ( remains ) = L total, 72 - L1 ( first cut at 30 3/4 ) - L2 ( second cut 12 1/4 ) - L3 ( 16 1/4 ) 

So 72 - 30 - 12 - 16 - 3/4 - 1/4 - 1/4 =? 
( break this down into simple terms and do it in your head... 

72 - 30 = 42, 42 - 21 = 30, 30 - 16 = 14, 14 - 3/4 = 13 1/4 - 1//4 = 13 - 1/4 = 12 3/4!

8 0

3 years ago

Pls help due in like 2 hours lol

never [62]

Answer:

Step-by-step explanation:

95+16x-4=-1+39x

91+16x=-1+39x

91+1=39x-16x

92=23x

92/23=x

4=x

7 0

3 years ago

I will give you a good amount of points if you answer this correct

Colt1911 [192]

Answer:

I think the answer is B. The equation has infinitely many solutions.

Step-by-step explanation:

4(3x + 4) = 15x + 12 - 3x + 4

*group like terms so 4(3x+4) = 15x - 3x + 12 + 4

*add similar elements 15x - 3x = 12x

*add the numbers 12 + 4 = 16

*Expand to 12x + 16 - 16 = 12x + 16 - 16

*You simplify 12x = 12x

*Subtract 12x from both sides

*Then Simplify which is 0

Which means Both sides are equal to 0

True for all X

5 0

3 years ago

Ab with slope = 5 and ST with slope = 5

9966 [12]

Answer:

Parallel

Step-by-step explanation:

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5 0

3 years ago

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0

3 years ago