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zhuklara [117]
2 years ago
9

Fill in the missing number to complete the equivalent fraction show what you multiply or divided by convert each improper fract

ion to a mixed number or whole number

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

Answer:

3a) 5/45 you divide by 5

3b) 6/7 you divide by 2

3c) 2/7 you divide by 9

3d) 2/5 you divide by 9

4a) 6

4b) 1 <u>1/4</u> or 5/4 (both are correct)

4c) 3 <u>1/2</u> or 3 <u>3/6</u> (both are correct)

4d) 5 <u>1/8</u>

The fraction bar tells you to divide the top number by the bottom number.

Step-by-step explanation:

For 3a through 3d, you just use the fraction that has a missing number, and if the missing number is at the bottom, use the top number and devide it by the other top number that the fraection is equal to.

For 4a through 4b, devide the top the bottom number

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What are the solutions of x^2-2x+5=0
sweet [91]

The solution of x^{2}-2 x+5=0 are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is x^{2}-2 x+5=0

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in x^{2}-2 x+5=0 a = 1 ; b = -2 ; c = 5

b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16

Since b^2 - 4ac < 0 , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}

On solving we get,

x=\frac{2 \pm \sqrt{4-20}}{2}

x=\frac{2 \pm \sqrt{-16}}{2}

x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}

we know that square root of -1 is "i" which is a complex number

\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0
2 years ago
a farmer plants 265 acres of cotton and soybeans in the ratio of 12 to 8. How many acres of cotton did he plant?
Mkey [24]

Answer: He planted 159 acres of cotton

Step-by-step explanation: divide 265 by 20 then multiply that number by 12 for the answer. if you wanna double check me but this is right.

8 0
2 years ago
Aditya's dog routinely eats Aditya's leftovers, which vary seasonally. As a result, his weight fluctuates throughout
wariber [46]

Based on the weight and the model that is given, it should be noted that  W(t) in radians will be W(t) = 0.9cos(2πt/366) + 8.2.

<h3>How to calculate the radian.</h3>

From the information, W(t) = a cos(bt) + d. Firstly, calculate the phase shift, b. At t= 0, the dog is at maximum weight, so the cosine function is also at a maximum. The cosine function is not shifted, so b = 1.

Then calculate d. The dog's average weight is 8.2 kg, so the mid-line d = 8.2. W(t) = a cos t + 8.2. Then calculate a, the dog's maximum weight is 9.1 kg. The deviation from the average is 9.1 kg - 8.2 kg = 0.9 kg. W(t) = 0.9cost  + 8.2

Lastly, calculate t. The period p = 2π/b = 2π/1 = 2π. The conversion factor is 1 da =2π/365 rad. Therefore, the function with t in radians is W(t) = 0.9cos(2πt/365) + 8.2.

Learn more about radians on:

brainly.com/question/12939121

7 0
2 years ago
I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account. How many w
Komok [63]

Answer: 17x=153

It would take 9 weeks to reach a balance of 0.

Step-by-step explanation:

So what you would do, you would do as follows; you have a situation where is says "every week'' so you would put 17x=153. So to solve that, you would divide 153 by 17, and that's how you would get your answer of 9.

8 0
3 years ago
Whch expression could be used to change 8 kilometers per hour to meters per minute
vazorg [7]

Answer:

133.33 meters per minute.

#FreeMelvin

5 0
3 years ago
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