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Ostrovityanka [42]
3 years ago
10

2

Mathematics
1 answer:
Kamila [148]3 years ago
3 0
The first one is y=16
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Is is square root of 9.227 a rational number
Naya [18.7K]

Answer:

No

Step-by-step explanation:

the square root of 9.227 is a repeating decimal that is irrational

4 0
4 years ago
What is the coefficient of x4y4 in the expansion of (x + y)8?
dimulka [17.4K]

Answer:

70

Step-by-step explanation:

If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power.  Those 9 terms are:

1, 8, 28, 56, 70, 56, 28, 8, 1

The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):

1(x^8)(y^0)+8(x^7)(y^1)+28(x^6)(y^2)+56(x^5)(y^3)+70(x^4)(y^4)+...

5 0
3 years ago
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4. Sophie can type 128 words in 3 minutes.
fiasKO [112]

Answer:

13.5 minutes

Step-by-step explanation:

128 = 3 minutes

128/3 = 1 minute worth of words

42.6 = 1 minute

576/42.6 = 13.5

8 0
3 years ago
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If 9% of a number equals 10, find 90% of that number.
Levart [38]

Answer:

100

Step-by-step explanation:

In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.

This can also be proven through cross multiplication. To set up a proportion put the percent over the number like, \frac{9}{10}=\frac{90}{x}. Then cross multiply to get the equation, 9x=900. Finally, divide both sides to get x=100.

5 0
3 years ago
A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimete
bija089 [108]

Here's the solution :

  • Side of the equilateral triangle = x

  • Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

  • 4(x + 10)  = 3 \times 3x

  • 4x + 40 = 9x

  • 9x - 4x = 40

  • 5x = 40

  • x = 8

therefore, side of triangle = 8 cm

  • perimeter (triangle) = 8 × 3 = 24 cm

  • side of square = 8 + 10 = 18 cm

  • perimeter of square= 18 × 4 = 72 xm
3 0
3 years ago
Read 2 more answers
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