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Eduardwww [97]
3 years ago
5

If 3 is added to three quarters of a certain number ,the result is 30 .find the original number.

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

X=36

Step-by-step explanation:

Let x be the unknown number

Three quarters of a number =3x/4

Three was added =3x/4 +3

Final

3x/4 + 3= 30

Multiply through with 4

3x+ 12=120

3x=120-12

3x=108

X=108/3

X=36

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K=½ mv^2<br> solve for k <br><br> Also tell me how you got it!
Mekhanik [1.2K]

Answer:

m = 2k/v²

Step-by-step explanation:

I think you mean solve for m, not k

Multiply both sides of the equation by 2

2 * 1/2 *(mv²) = 2 * k

Rewrite the expression.

1*(mv²) = 2*k

Multiply mv² by 1

mv² = 2*k

Divide each term by v² and simplify

mv²/v² = 2k/v²

mv²/v² cancel out and you get

m = 2k/v²

8 0
3 years ago
4. Tom rides his bike a total of 6 14 miles to work over the course of 5 days.
irina [24]

6 14 miles in 5 days.

In 1 day Tom rides 6 14/5 = 1 228 miles

1 week has 7 days

5 weeks have 35 days

1 day Tom rides 1 228 miles

35 days Tom rides for 1 228 * 35 = 42 98miles.

5 0
2 years ago
In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yell
Viktor [21]

Answer:

3/10 of the aquarium are yellow tangs.

Step-by-step explanation:

Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:

2/5 = 0.40

0.40 x 3/4 = X

1.20 / 4 = X

0.30 = X

0.30 = 3/10

Therefore 3/10 of the aquarium are yellow tangs.

5 0
3 years ago
If x=9 units, y= 3 units and h= 8 units find the area of the rhombus shown about using decomposition
PIT_PIT [208]

Answer:

72 sq. units

Step-by-step explanation:

Find the diagram attached

The rhombus is the area of the two triangles and the rectangle

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * y * h

Area of triangle = 1/2 * 3 * 8

Area of triangle = 3 * 4

Area of triangle = 12 sq.units

Area of  2 triangle = 2(12) = 24 sq. units

Area of the rectangle = length * width]

Area of the rectangle = h (x-y)

Area of the rectangle = 8(9-3)

Area of the rectangle = 8 * 6

Area of the rectangle = 48 sq. units

Area of the rhombus = 24 + 48

Area of the rhombus = 72 sq. units

5 0
3 years ago
Four ingredients costing $320 per kg, $240 per kg, $160 per kg and $80 per kg are mixed so that their masses are in the ratio 4:
Mariulka [41]

Answer:

$2160

Step-by-step explanation:

(320*4)+(240*1)+(160*3)+(80*2) = 2160

6 0
3 years ago
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