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4 years ago

What are 3 complex fractions that simplify to 1/4??

1 answer:

3 0

<span>Give 3 complex fractions that simplify to ¼
Complex fractions are bigger fractions that can be simplified into smaller fractions.</span> <span>=> First is 15 / 60
15/60 = 1 /4
=> second is 50/200
50/200 = 1 / 4
=> Third is 43/172
43/172 = 1 / 4

There are many possible answer. There are infinite complex fractions that can be simplified to 1 /4. I only gave 3 examples to show how simplified fraction works.</span>

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The length of a rectangle is 5 inches less than 3 times the width. The perimeter is 70 inches. Find the length and the width.

Stolb23 [73]

Answer:

Length of the Rectangle = 10 inches

and Width = 25 inches

Step-by-step explanation:

Let the width of the rectangle = k inches

So, the Length of the rectangle = (3k - 5) inches

Perimeter = 70 inches

Now, Perimeter of the Rectangle = 2(Length + Width)

= 2 (k + (3k-5))

⇒ 2 (k + (3k-5)) = 70

or, 2(k + 3k -5) = 70 ⇒ 2(4k - 5) = 70

⇒ 8k - 10 = 70

or, 8k = 70+ 10 = 80

or, k = 80/8 = 10

So, the Length = 10 inches

Hence, Width = 3k - 5 = 3(10) - 5 = 30 - 5 = 25 inches

So, Length of the Rectangle = 10 inches

and Width = 25 inches

4 0

3 years ago

How to get the answer of a ratio that is equivalent to 3:11

WINSTONCH [101]

A ratio equivalent to 3:11 will be multiplying each term by a common term. Eg 3 x 2 : 11 x 2 = 6:22

8 0

3 years ago

Which function best models the data?

Virty [35]

Answer:

y = 9,958(0.972)^t

Step-by-step explanation:

From point to point, the difference in days is always constant (10 days), but the difference between estimated number of bees is not constant.

10000 - 7500 = 2500

7500 - 5600 = 1900

5600 - 4200 = 1600

4200 - 3200 = 1000

3200 - 2400 = 800

Therefore, the data don't fit a line.

From the other two options:

y = 9,958(0.972)^t

y = 0.972(9,958)^t

only the first one has sense, because its initial amount of bees is 9,958 (near to 10,000) and in the second option is 0.972.

3 0

3 years ago

You measure 44 textbooks' weights, and find they have a mean weight of 51 ounces. Assume the population standard deviation is 11

elena-14-01-66 [18.8K]

Answer: (47.51, 54.49)

Step-by-step explanation:

Confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

, where n= sample size .

$\sigma$ = population standard deviation.

$\overline{x}$ = sample mean

$z_{\alpha/2}$ = Two -tailed z-value for ${\alpha$ (significance level)

As per given , we have

$\sigma=11.8\text{ ounces}$

$\overline{x}=51 \text{ ounces}$

n= 44

Significance level for 95% confidence = $\alpha=1-0.95=0.05$

Using z-value table ,

Two-tailed Critical z-value : $z_{\alpha/2}=z_{0.025}=1.96$

Now, the 95% confidence interval for the true population mean textbook weight will be :-

$51\pm (1.96)\dfrac{11.8}{\sqrt{44}}\\\\=51\pm(1.96)(1.7789)\\\\=51\pm3.486644\approx51\pm3.49\\\\=(51-3.49,\ 51+3.49)\\\\=(47.51,\ 54.49)$

Hence, the 95% confidence interval for the true population mean textbook weight. : (47.51, 54.49)

8 0

3 years ago

60 boys in a hostel have food for 30 days. How long would the food last for 72 boys. Tell me how to do it with explanation pleas

aleksandrvk [35]

Answer:

The food will last for 25 days with 72 boys

Step-by-step explanation:

Proportions can be used to find the number of days the food will last for 72 boys.

60 boys in a hostel have food for 30 days.

Let x be the number of days for which the food will last

The proportion or product of both scenarios has to be same as the number of days and number of boys are proportional

Which means

$60*30 = 72 * x\\x = \frac{60*30}{72}\\x = 25$

Hence,

The food will last for 25 days with 72 boys

3 0

3 years ago