Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies

Answer:

Given the expression: [tex](4+5i)+(-3+7i)[/tex]

Aiko rewrites the equation by factoring out the [tex]i[/tex] from the expression and this wrote it as,

[tex](-3+7)i+(4+5)i[/tex]

but this is wrong because [tex]i[/tex] is an imaginary number which is with a number 5 and 7.

Therefore,  Aiko cannot factor out the [tex]i[/tex] because it is not present in both numbers -3 and 4

She could rewrote it as

[tex](4-3)+i(5+7)[/tex]

So, she incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

Answer:

Hopefully this helps other people! :) I got it right on the test!

To find the values of a, b, and c, we can use the given information and solve the system of equations.

To find the values of a, b, and c, we can use the given information and solve the system of equations.

From the first two statements, we have a/c = 8 and a*c = 2. This allows us to solve for a and c.

Similarly, from the next two statements, we have a/b = -16 and a*b = -1. Using these equations, we can find the values of a and b.

Finally, the last statement gives us b/c = -0.5, and we can use this equation to find the value of c.

Substituting the appropriate values for a, b, and c, we find that a = 1, b = 0.0211, and c = -0.0211.

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Your answer would be -6! -42= -6 divided by 7 or 7 X -6= -42

Final answer:

Factoring prime numbers is not applicable as they are already in their simplest form. In calculations involving exponents with prime numbers, exponent rules can be used to simplify or alter the expression. Understanding these rules empowers you to verify the results and improve your mental math skills.

Explanation:

Prime numbers are the building blocks of the number system, but interestingly, they cannot be factored further since they have only two distinct divisors: one and themselves. Therefore, the concept of factoring prime numbers doesn't apply because they are already in their simplest form. However, when you work with exponents and prime bases, such as in 24 × 10¹², you can manipulate the expression by using exponent rules to simplify or alter its form.

Exponents represent how many instances a base number is multiplied by itself. For example, 10³ equals 10 × 10 × 10, which is 1,000. Similarly, when you see an operation like (53)4, you can multiply the exponents (3 × 4) to understand this as 512, which is 5 multiplied by itself 12 times.

Mastering these concepts avoids confusion and allows for mathematical operations to be performed more readily in your head. Calculators handle these numbers with ease, but understanding the rules lets you confirm the accuracy of your work and can help in developing a life-long skill.

The probability of picking a dime or a quarter is 3/4

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, you have 4 dimes, 5 quarters, and 3 pennies in your pocket.

There are a total of 4 + 5 + 3 = 12 coins in your pocket.

The probability of picking a dime or a quarter can be calculated as the sum of the probability of picking a dime and the probability of picking a quarter. Since the coins are selected randomly, each coin has an equal chance of being picked.

The probability of picking a dime is 4/12 or 1/3, since there are 4 dimes in the pocket out of a total of 12 coins.

The probability of picking a quarter is 5/12, since there are 5 quarters in the pocket out of a total of 12 coins.

Therefore, the probability of picking a dime or a quarter is:

P(dime or quarter) = P(dime) + P(quarter)

P(dime or quarter) = 4/12 + 5/12

P(dime or quarter) = 9/12

P(dime or quarter) = 3/4

So the probability of picking a dime or a quarter is 3/4, or three-fourths.

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Answer:

Draw a square and shade half of it. Then draw 2 lines to divide the square into 3 equal parts. There will be one shaded piece in each group, and there are 6 pieces total, so the answer is 1

6

of a gallon.

Step-by-step explanation:

Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex]  gallons of white paint in total.

Let's calculate the total amount of paint step by step:

1. Convert fractions to a common denominator:

[tex]- \( \frac{1}{3} \) gallon = \( \frac{10}{30} \) gallons[/tex]

[tex]- \( \frac{1}{5} \) gallon = \( \frac{6}{30} \) gallons[/tex]

 [tex]- \( \frac{1}{2} \) gallon = \( \frac{15}{30} \) gallons[/tex]

2. Add the amounts of paint in the cans:

 [tex]\( \frac{10}{30} + \frac{6}{30} + \frac{15}{30} = \frac{31}{30} \) gallons[/tex]

3. Simplify the fraction:

 [tex]\( \frac{31}{30} = 1 \frac{1}{30} \) gallons[/tex]

Thus, Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex]  gallons of white paint in total.

To find out how much paint Neil has in total, we first converted the fractions to a common denominator of 30 to make them easier to add. This gave us [tex]\( \frac{10}{30} \) gallons, \( \frac{6}{30} \)[/tex] gallons, and [tex]\( \frac{15}{30} \)[/tex]  gallons for the three cans, respectively. Adding these fractions together gives[tex]\( \frac{31}{30} \)[/tex] gallons. To simplify, we divide 31 by 30, resulting in[tex]\( 1 \frac{1}{30} \)[/tex] gallons. Thus, Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex]  gallons of white paint in total.

complete question

neil has 3 partially full cans of white paint. They contain 1/3 gallion, 1/5 gallion, and 1/2 gallion of paint. about how much paint does neil have in all

Answer:

[tex]\dfrac{5}{24}[/tex]

Step-by-step explanation:

There are 24 hours in a day, therefore:

The total hour used for sleeping, studying and travelling=7+6+6=19 hours

Hours used for other things=24-19=5 hours

Therefore, the fraction of the day used for other things=[tex]\dfrac{5}{24}[/tex]

The calculation that is NOT a relevant way to find the value of 14/20 is given by option a: 0.5 + 0.05.

Let's find the value of 14/20 first:

To find 14/20, divide 14 by 20:

14 ÷ 20 = 0.7

Now, let's check each calculation:

a. 0.5 + 0.05 = 0.55 (Not relevant to finding 14/20)

b. 0.75 - 0.05 = 0.7 (Relevant, as this gives us 14/20)

c. 14 ÷ 20 = 0.7 (Relevant, as this is the correct calculation for 14/20)

d. 14 × 0.05 = 0.7 (Relevant to finding 14/20)

Therefore, the calculation that is NOT a way to find 14/20 is option a: 0.5 + 0.05.

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Answer:

The answer is 7/8.

Step-by-step explanation:

If you add 11/16 to 3/16, you'll get 14/16.  14/16 has two numbers that are divisible by 2,  so when you divide 14/16 by 2 you'll get 7/8 which is 14/16 in a simplified form.  7 is prime and you can't divide it down any more, but 8 i'snt the same way.  The rule is, whatever you do to one side, you have to do to the other.  You can divide 8, but not 7; therefore, you cannot simplify the fraction any further.

To add fractions with the same denominator, simply add the numerators together, while keeping the denominator the same.

To add fractions with the same denominator, simply add the numerators together, while keeping the denominator the same. In this case, we have 11/16 + 3/16. The denominators are already the same, so we can add the numerators: 11 + 3 = 14. The fraction 14/16 cannot be simplified further.

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Answer:

Perimeter of triangle 1 = p1 = 66

Perimeter of triangle 2 = p2 = 44

Answer: [tex]\dfrac{3}{5}[/tex]

Step-by-step explanation:

Given : The number of pink marbles in bag= 8

Total number of marbles in bag= [tex]4+5+8+3=20[/tex]

Now, the number of marbles that are not pink =[tex]20-8=12[/tex]

We know that the formula to find the probability is :-

[tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Similarly, [tex]\text{P(not pink)}=\dfrac{12}{20}=\dfrac{3}{5}[/tex]