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steposvetlana [31]
2 years ago
5

Sam has a collection of stamps. For every 18 dinosaur stamps, he has 12 airplane stamps. Sam wrote a ratio for dinosaur stamps t

o airplane stamps as 12 to 18. Did he write his ratio correctly? Justify your answer. I NEED AN ANSWER

Mathematics
1 answer:
const2013 [10]2 years ago
6 0

Answer:

Given the ratio for dinosaur stamps to airplane stamp, the correct ratio is 18 : 12

Step-by-step explanation:

Dinosaur stamps = 18

Airplane stamps = 12

John wrote:

ratio of dinosaur stamps to airplane stamps = 12 to 18

Correct ratio:

ratio of dinosaur stamps to airplane stamps = 18 : 12

= 18/12

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Match the vocabulary word to its correct definition.
Trava [24]

Answer:

1. Complex number.

2. Imaginary part of a complex number.

3. Real part of a complex number.

4. i

5. Multiplicative inverse.

6. Imaginary number.

7. Complex conjugate.

Step-by-step explanation:

1. <u><em>Complex number:</em></u> is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.

2. <u><em>Imaginary part of a complex number</em></u>: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.

3. <em><u>Real part of a complex number</u></em>: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.

4. <u><em>i:</em></u> a number defined with the property that 12 = -1.

5. <em><u>Multiplicative inverse</u></em>: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.

6. <em><u>Imaginary number</u></em>: any nonzero multiple of i; this is the same as the square root of any negative real number.

7. <em><u>Complex conjugate</u></em>: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.

4 0
3 years ago
Question 24 Multiple Choice Worth 1 points)
hammer [34]

Given:

The system of equations is:

Line A: y=x-4

Line B: y=3x+4

To find:

The solution of given system of equations.

Solution:

We have,

y=x-4              ...(i)

y=3x+4           ...(ii)

Equating (i) and (ii), we get

x-4=3x+4

-4-4=3x-x

-8=2x

Divide both sides by 2.

-4=x

Substituting x=-4 in (i), we get

y=-4-4

y=-8

The solution of system of equations is (-4,-8).

Now verify the solution by substituting x=-4, y=-8 in the given equations.

-8=-4-4

-8=-8

This statement is true.

Similarly,

-8=3(-4)+4

-8=-12+4

-8=-8

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

8 0
2 years ago
Help please and thank you
iren [92.7K]
What do you need what is the question
8 0
3 years ago
Round to the nearest hundredth 5/8
Solnce55 [7]
Eighths and their multiples are common fractions which I recommend memorizing, but to actually solve this, you use the literal meaning of a fraction and divide 5 by 8. See the long-division below (it was surprisingly difficult to type, so I hope it helps!).

To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.

3 0
3 years ago
What is the value of x in the inequality ?
frozen [14]
You must get x by itself and eliminate the negative of the x. By doing that, you can get x<-1/6
6 0
3 years ago
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