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frosja888 [35]
3 years ago
8

Express 56 as the product of its prime factors.

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

2^{3} *7

Step-by-step explanation:

56=2*28

56=2*2*14

56=2*2*2*7

Thus, 56=2^{3}*7

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each month Kevin klog earns $1250 plus 0.8% of his sales last month his sales totaled $64,500. how much did Kevin earn?
Troyanec [42]


64, 500 x 0.8%=65,016.00.  He automatically earns $1250.00 a month

add the 65, 016.00 + 1250.00 and the answer would be 66 266.00

4 0
3 years ago
The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?
kompoz [17]

9514 1404 393

Answer:

  6

Step-by-step explanation:

If 60% are yellow, the other 40% are green. Then the difference between yellow and green is 60% -40% = 20% of the total number of fish. That difference also happens to be half of the number of green fish:

  20% = (1/2)(40%)

So, the number of green fish is 2×3 = 6.

_____

If you wanted to, you could write a couple of equations:

  y - g = 3

  y = 0.60(y +g)

Using the first equation to write an expression for y, we get ...

  y = g +3

Using this in the second equation, we have ...

  g +3 = 0.6(g +3 +g)

  g +3 = 1.2g +1.8 . . . . eliminate parentheses

  1.2 = 0.2g . . . . . . . .  subtract g+1.8

  1.2/0.2 = g = 6 . . . . . divide by 0.2

There are 6 green fish in the aquarium.

6 0
3 years ago
What is the area of the following circle?
valkas [14]

Answer:

Area = 49π

Step-by-step explanation:

circle Area = π x (radius)²

Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.

So r = 7, where 'r' is the radius.

Area = π x r² = π(7)² = π(49)

Area = 49π is the exact answer, so it is the one I prefer.

Area = 153.86 is the decimal you get if you multiply 49 x 3.14

Hope this helps.

4 0
3 years ago
Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression​
PIT_PIT [208]

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

6 0
3 years ago
the lengths of the side of a rectangular window have the ratio 1.7 to 1 the area of the window is 2,720 sqaure inches what are d
nignag [31]

Answer:

Lenght: 68\ in\\\\Width: 40\ in

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

You know that the ratio  of the sides of the rectangular window is:

1.7:1

 Then, let be x the width (in inches) of the rectangular window and 1.7x the lenght (in inches) of the rectangular window.

Knowing that the area of the window is 2,720 square inches, you can know that:

(1.7x)(x)=2,720

Now you must solve for "x" in order to find the width:

(1.7x)(x)=2,720\\\\1.7x^2=\\\\x=\sqrt{\frac{2,720}{1.7} }\\\\x=40

Finally, the lenght is:

1.7x=1.7(40)=68

3 0
3 years ago
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