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Alina [70]
4 years ago
7

Write the next three multiples of 8. 32,

Mathematics
2 answers:
vredina [299]4 years ago
7 0

Answer: 40, 48 and 56

Step-by-step explanation:

8 x 4 = 32

8 x 5 = 40

8 x 6 = 48

8 x 7 = 56

VMariaS [17]4 years ago
6 0

Answer:

40, 48, 56

Step-by-step explanation:

Simply:

Since 4×8=32

The next 3 multiples are

5×8=40

6×8=48

7×8=56

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24 - 4 x 2 + 4b = 20 - 16​
AnnZ [28]

Answer:

b = -3

Step-by-step explanation:

Solve for b:

4 b - 4 2 + 24 = 20 - 16

-4×2 = -8:

4 b + -8 + 24 = 20 - 16

Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):

4 b + (24 - 8) = 20 - 16

24 - 8 = 16:

4 b + 16 = 20 - 16

20 - 16 = 4:

4 b + 16 = 4

Subtract 16 from both sides:

4 b + (16 - 16) = 4 - 16

16 - 16 = 0:

4 b = 4 - 16

4 - 16 = -12:

4 b = -12

Divide both sides of 4 b = -12 by 4:

(4 b)/4 = (-12)/4

4/4 = 1:

b = (-12)/4

The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:

Answer: b = -3

4 0
4 years ago
Which one of These is a rational number
Ainat [17]

Answer:

OPTION D: 0

Step-by-step explanation:

Rational numbers are subset of real numbers. These are the numbers that can be represented by a ratio of two integers i.e., of the form $ \frac{p}{q} $, where 'q' is non-zero. The numbers after the decimal forms a pattern. Since, 'q' can be equal to 1, we conclude all integers are rational numbers.

Irrational numbers are the numbers which cannot be represented as ratios. They can only be represented as an approximate value. The numbers after the decimal do not form a pattern.

Here, A is 11.761038... Clearly, the decimal is non-terminating and does not follow a pattern.

In Option B we have √20. √20 = √2 . √10. We know that √2 is an irrational number. So, √20 is also irrational.

In Option C, we have the famous $ \pi $. The value of $ \pi $ is 3.14.... It is an irrational number. The approximate representation of $ \pi $ is $ \frac{22}{7} $.

In Option D, we have 0. It is an integer. So, it is rational as well.

6 0
3 years ago
The quadratic equation 8x²+12x-14 has two real roots. What is the sum of the squares of these roots?
mars1129 [50]

Answer:

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

The sum of the squares of these roots is \frac{-3}{2}

Step-by-step explanation:

The given quadratic equation is 8x^2+12x-14 has two real roots.

To find the roots .

8x^2+12x-14=0

Dividing the above equation by 2

\frac{1}{2}(8x^2+12x-14)=\frac{0}{2}

4x^2+6x-7=0

For quadratic equation ax^2+bx+c=0 the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where a and b are coefficents of x^2 and x respectively, c is a constant.

For given quadratic equation

a=4, b=6, c=-7

x=\frac{-6\pm\sqrt{6^2-4(4)(-7)}}{2(4)}

=\frac{-6\pm\sqrt{36+112}}{8}

=\frac{-6\pm\sqrt{148}}{8}

=\frac{-6\pm\sqrt{37\times 4}}{8}

=\frac{-6\pm\sqrt{37}\times\sqrt{4}}{8}

=\frac{-6\pm\sqrt{37}\times 2}{8}

=2\frac{(-3\pm\sqrt{37})}{8}

=\frac{-3\pm\sqrt{37}}{4}

x=\frac{(-3\pm\sqrt{37})}{4}

The real roots are

x=\frac{(-3+\sqrt{37})}{4} and x=\frac{(-3-\sqrt{37})}{4}

Now to find the sum of the squares of these roots

\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}

=\frac{-6}{4}

=\frac{-3}{2}

\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3}{2}

Therefore the sum of the squares of these roots is \frac{-3}{2}

3 0
3 years ago
Maya dropped her keys
lesya692 [45]

Answer:

OK?

Step-by-step explanation:

6 0
3 years ago
A shirt requires 3/4 of a yard of material. How many shirts can be made from 18 yards of material?
AVprozaik [17]

Answer:

24

Step-by-step explanation:

18/ 3/4=24

8 0
3 years ago
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