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8090 [49]
4 years ago
7

A prize is shared in the ratio 7:3. If the smaller share was 27, what was the prize​

Mathematics
2 answers:
kotykmax [81]4 years ago
8 0

Answer:

63

Step-by-step explanation:

The ratio is 7:3 and the smaller of which is 27

divide 27 by 3, which is nine and multiply that by seven

9*7=63

Arada [10]4 years ago
3 0

Step-by-step explanation:

Let the prizes be 7x , 3x

Total prize = 7x + 3x = 10x

Given:

3x = 27

x = 9

Thus the total prize = 9 × 10 = 90

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Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (8.1*10^-4)^2
AfilCa [17]
<h3>Answer:</h3>
  • the result in scientific notation is 6.561×10⁻⁷
  • the result as a decimal is 0.000 000 656 1
<h3>Explanation:</h3>

The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.

... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2

... = 65.61 × 10^-8

... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point

The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...

... 6.561 × 10^-7 = 0.0000006561

4 0
4 years ago
Twice Henry's earnings increased by 10 is $253. Therefore, Henry earned $____
valina [46]

Answer:

121.50

Step-by-step explanation:

Let x be the earnings

2x+10 = 253

Subtract 10 from each side

2x+10-10 = 253-10

2x = 243

Divide by 2

2x/2 = 243/2

x = 121.50

8 0
3 years ago
Y=12x<br> Do x and y vary directly ?
77julia77 [94]

Answer:

Yes, they vary directly

Step-by-step explanation:

y=kx; k is the constant (12 in this case) and as x increases y increases, so they vary directly

6 0
3 years ago
Find the area of a circle with diameter 10cm use the value 3.14
mafiozo [28]

Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

3 0
3 years ago
Read 2 more answers
What is 23/8 as a decimal?
trasher [3.6K]
To write 23/8 as a decimal you have to divide numerator by the denominator of the fraction. 
<span>We divide now 23 by 8 what we write down as 23/8 and we get 2.875 </span>

<span>And finally we have: </span>
23/8 as a decimal<span> equals </span><span>2.875</span>
7 0
4 years ago
Read 2 more answers
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