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kkurt [141]
2 years ago
6

If 55% of a number is 143 and 45% of the same number is 117, find 100% of that number.

Mathematics
1 answer:
natita [175]2 years ago
6 0
260


143 divided by .55=260
117 divided by .45=260
260 times .45=117
260 times .55=143
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Some one cans help me to find the answer about the whole shape and tell me how do you get the answer step by step please I need
Naya [18.7K]
First let’s call the square shape A and the rectangle shape B.

To find the area of shape A you do 24 x 24 = 576cm squared

To find the area of shape B you do 40 x 24 = 960cm squared

To find the total area you just add the two areas together
576 + 960 = 1536cm squared
4 0
3 years ago
If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a
Karolina [17]
Let h = height of the box,
x = side length of the base.

Volume of the box is  V=x^{2} h = 115. 
So h = \frac{115}{ x^{2} }

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
S = 2( x^{2}  + hx + hx)  \\ = 2 x^{2}  + 4hx  \\  = 2 x^{2}  + 4( \frac{115}{ x^{2} } )x
= 2 x^{2} + \frac{460}{x}
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

S' = 4x- \frac{460}{ x^{2} }  = 0
4x = \frac{460}{ x^{2} }  \\  4x^{3} = 460  \\ x^{3} = 115  \\ x =  \sqrt[3]{115} = 4.86
Then h=  \frac{115}{4.86^{2}} = 4.87
So the box is 4.86 in. wide and 4.87 in. high. 

5 0
3 years ago
Read 2 more answers
Alexander is raking leaves to earn money to buy a bicycle that costs $300 including tax.
zheka24 [161]

Answer:

19 yards

Step-by-step explanation:

75 - 50 = 25

15 * 19 = 285

285 + 25 = 310

3 0
3 years ago
I dont get how to do these questions <br> -25x=-150
svet-max [94.6K]

Answer:

x=6

Step-by-step explanation:

you divide -25 on both sides

6 0
2 years ago
Read 2 more answers
A cosmetics company makes three batches of a nail polish color called Purple Dusk using the recipe shown.
Ivanshal [37]

Answer:

Batch 1:- Red 2  ounces     Blue 1 1/2 ounces

Batch 2:-  Red 3     White  3 3/4 ounces.

Batch 3:- White  4 1/6      Blue  2 1/2 ounces.

Step-by-step explanation:

Batch 1

Amount of the white paint = 5/12 of the batch = 2 1/2  or 5/2 ounces.

5/12 is equivalent to 5/2 ounces of white paint.

1/12   ......................... 5/2 / 5 =  5/10 = 1/2 ounce.

Red paint.

!/3 of the product contains red paint which is 4/12 so this is 4 times 1/12 = 4 * 1/2 ounce   = 2 ounces of red paint.

Blue paint.

Similarly to the above amount of blue paint =  1/4 =3/12

= 3 * 1/2 = 1 1/2 ounces of  blue paint.

Batch 2.

We can calculate the missing quantities in a similar way to Batch 1.

Blue Paint =  3/12 of the product  = 2 1/4 ( = 9/4) ounces  so

1 /12 =

9/4 * 1/3 =  9/12 = 3/4 ounce

Red Paint:-  1/12 is equivalent to 3/4 ounce so

Amount of red paint = 4 * 3/4 = 3 ounces  (answer)

White paint = 5 * 3/4 =  15/4 = 3 3/4 ounces (answer)

Batch 3.

Red paint = 3 1/3 ounces is equivalent to  4/12 of the product.

So 1/12 = 10/3  / 4 = 10/12 = 5/6 ounces.

White paint = 5/6 * 5 = 4 1/6 ounces.

Blue paint = 5/6 * 3 = 15/6 = 2 1/2  ounces.




3 0
3 years ago
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