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Vinvika [58]
3 years ago
6

What is the value of 5 2/3(−3.6)?

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

<em>Hello, Your answer will be -20 2/4.</em>

Step-by-step explanation:

Conversion a mixed number 5 2

3

to a improper fraction: 5 2/3 = 5 2

3

= 5 · 3 + 2

3

= 15 + 2

3

= 17

3

To find new numerator:

a) Multiply the whole number 5 by the denominator 3. Whole number 5 equally 5 * 3

3

= 15

3

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write previous answer (new numerator 17) over the denominator 3.

Five and two thirds is seventeen thirds

Conversion a decimal number to a fraction: -3.6 = -36

10

= -18

5

a) Write down the decimal -3.6 divided by 1: -3.6 = -3.6

1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

-3.6

1

= -36

10

Note: -36

10

is called a decimal fraction.

c) Simplify and reduce the fraction

-36

10

= -18 * 2

5 * 2

= -18 * 2

5 * 2

= -18

5

Multiple: 17

3

* (-3.6) = 17 · (-18)

3 · 5

= -306

15

= -102 · 3

5 · 3

= -102

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-306, 15) = 3. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventeen thirds multiplied by minus eighteen fifths = minus one hundred two fifths. <em>Hope That Helps!</em>

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A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist
maw [93]

Answer:

<em>The percent error of the cyclist's estimate is 5.63%</em>

Step-by-step explanation:

<u>Percentages</u>

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%

5 0
2 years ago
The electrical charge on a metal plate is given
Katarina [22]

Answer:

after 10 seconds  the charge  is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given  by the function below, where t is the time in  seconds. What is the charge after 10 seconds?

C (t) = 12e^{\frac{-t}{5} }

My answer:

Given the information:

C (t) = 12e^{\frac{-t}{5} }  

when t =10 we have:

C (10) = 12e^{\frac{-10}{5} }

<=>  C (10) = 12e^{-2}

<=>  C (10) = 12\frac{1}{e^{2} }

<=> C (10) = 12 * 0.1353

<=>  C (10) = 1.624

Hence, after 10 seconds  the charge  is 1.624

8 0
2 years ago
Hello, I gotta turn it turn in this question today, help!!!!!!
Sladkaya [172]

Answer:

2 or -2

Step-by-step explanation:

If x² - 8x = -12

Step 1

We find x by solving

x² - 8x = -12

We equate to zero

x² - 8x + 12 = 0

We factorise

x² - 6x - 2x + 12 = 0

x(x - 6) -2(x - 6) = 0

(x - 6) (x - 2) = 0

x - 6 = 0, x = 6

x - 2 = 0, x = 2

x = 6 or 2

Step 2

What is x - 4?

When x = 6

= 6 - 4 = 2

When x = 2

= 2 - 4 = -2

Therefore, x - 4 = 2 or -2

3 0
3 years ago
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