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labwork [276]
2 years ago
9

How to divide a whole number by a whole number, keep change flip? example 3 divided by 6.

Mathematics
1 answer:
adell [148]2 years ago
7 0

Answer:

Step-by-step equation

Divide the whole numbers and check the answer using multiplication identify and apply to division properties of one identify and apply the division properties of zero use Long division algorithm to divide digit numbers Gentefied the divisor and remainder in a division problem

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#5 A pair of jeans was 30% off the
just olya [345]

Answer:

80

Step-by-step explanation:

8 0
3 years ago
Two friends have a total of 60 coins. If the first fried gives 1/4 of his coins to the second friend, they will have an equal nu
kakasveta [241]

Answer:

The first friend has 40 coins.

Step-by-step explanation:

The statement says that the two friend have a total of 60 coins, which can be expressed as:

x+y=60 (1), where:

x is the first friend

y is the second friend

Also, the statement says that if the first friend gives 1/4 of his coins to the second friend, they will have an equal number of coins which means that if you subtract 1/4 of the coins the first friend has this would be equal to the number of coins the second friend has now, which is:

x-1/4x=y+1/4x

x-1/4x-1/4x=y

y=x-2/4x

y=x-1/2x (2)

Next, you have replace (2) in (1) and solve for x:

x+x-1/2x=60

2x-1/2x=60

3/2x=60

x=60/(3/2)

x=(60*2)/(1*3)

x=120/3

x=40

Finally, you can replace the value of x in (2) in order to find the value of y:

y=40-1/2(40)

y=40-(20)

y=20

According to this, the answer is that the first friend has 40 coins.

8 0
2 years ago
About how many years ago did Jesus live <br><br> A.10,000<br> B. 5,000<br> C. 2,000 <br> D. 1,000
vredina [299]

Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago

5 0
3 years ago
Find the sum of the first 10 terms of the following sequence 4, -16, 64​
guajiro [1.7K]

Answer:

838860

Step-by-step explanation:

How do you find the sum of the first 10 terms?

To sum up the terms of this arithmetic sequence: a + (a+d) + (a+2d) + (a+3d) +

Example: Add up the first 10 terms of the arithmetic sequence:

a = 1 (the first term)

d = 3 (the "common difference" between terms)

n = 10 (how many terms to add up)

What is the sum of the first 10?

The number series 1, 2, 3, 4 , 9, 10. Therefore, 55 is the sum of positive integers upto 10.

6 0
2 years ago
Find an exact value.
Westkost [7]

Answer:

\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}.

Step-by-step explanation:

Convert the angle \displaystyle \left(-\frac{7\, \pi}{12}\right) to degrees:

\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ.

Note, that \left(-105^\circ\right) is the sum of two common angles: \left(-45^\circ\right) and \left(-60^\circ\right).

  • \displaystyle \cos\left(-45^\circ\right) = \cos\left(45^\circ\right) = \frac{\sqrt{2}}{2}.
  • \displaystyle \cos\left(-60^\circ\right) = \cos\left(60^\circ\right) = \frac{1}{2}.
  • \displaystyle \sin\left(-45^\circ\right) = -\sin\left(45^\circ\right) = -\frac{\sqrt{2}}{2}.
  • \displaystyle \sin\left(-60^\circ\right) = -\sin\left(60^\circ\right) = -\frac{\sqrt{3}}{2}.

By the sum-angle identity of cosine:

\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B).

Apply the sum formula for cosine to find the exact value of \cos\left(-105^\circ \right).

\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}.

\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ. In other words, \displaystyle \left(-\frac{7\, \pi}{12}\right) and \left(-105^\circ\right) correspond to the same angle. Therefore, the cosine of \displaystyle \left(-\frac{7\, \pi}{12}\right)\! would be equal to the cosine of \left(-105^\circ\right)\!.

\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}.

3 0
2 years ago
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