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2 years ago

What is 8.1 in a fraction

Mathematics

2 answers:

SIZIF [17.4K]2 years ago

4 0

Answer:

81/10

Step-by-step explanation:

lidiya [134]2 years ago

4 0

Answer: 81/10

Step-by-step explanation:8.1 = 8 1/10, convert that to an improper fraction and get 81/10

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Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west at 12 mi/h. At what rate is t

alexandr402 [8]

Answer:

20 miles per hour

Step-by-step explanation:

The distances traveled by each car are perpendicular, so we can find the distance between the cars using the Pythagoras' theorem between their distances traveled:

$d^2 = d_1^2 + d_2^2$

Where d is the distance between the cars, d1 is the distance traveled by the first car and d2 is the distance traveled by the second car.

The distance traveled is calculated by the speed times the time traveled, so we have:

$d^2 = (16t)^2 + (12t)^2$

$d^2 = 256t^2 + 144t^2$

$d^2 = 400t^2$

$d = 20t$

The rate that the distance is increasing can be found with the derivative of the distance in relation to the time:

$dd/dt = 20\ mph$

So the rate that the distance increases is always 20 miles per hour, and it's independent of the time.

4 0

3 years ago

What is the property of 7+(a+b)=7+a)+b

-BARSIC- [3]

The associative property of addition says that when every operation is addition, you can group numbers however you like and choose which pair of numbers to add first; you can move parentheses without changing the answer.

7 0

2 years ago

Read 2 more answers

A=1/4 and b=6 16a-4b a=1/4 and b=6 5b/32a= a=1/4 and b=6 12a+(b−a−4)=

Digiron [165]

Answers & Step-by-step explanation:

#1. Insert given values:

$16*\frac{1}{4} -4*6$

Simplify multiplication from left to right. Use the rule $\frac{a}{b}*c =\frac{ac}{b}$ :

$\frac{16}{4}-4*6\\\\ 4-4*6$

Simplify multiplication:

$4-24$

Simplify subtraction:

$-20\\\\16a-4b=-20$

#2. Insert given values:

$\frac{5*6}{32*\frac{1}{4} }$

Simplify multiplication:

$\frac{30}{32*\frac{1}{4} }$

Simplify multiplication. Use the rule $\frac{a}{b} *c=\frac{ac}{b}$ :

$\frac{30}{\frac{32}{4} }$

Simplify division:

$\frac{30}{8}$

Simplify fraction:

$\frac{15}{4} \\\\\frac{5b}{32a}=\frac{15}{4}$

#3. Insert given values:

$12*\frac{1}{4} +(6-\frac{1}{4} -4)$

Simplify subtraction within parentheses. Convert to fractions. Use the rule $a=\frac{a}{1}$ :

$\frac{6}{1} -\frac{1}{4} -\frac{4}{1}$

Make all denominators the same. Multiply top and bottom by 4 (only do this to the fractions with 1 as the denominator):

$\frac{24}{4}-\frac{1}{4}-\frac{16}{4}$

Simplify subtraction. Subtract the numerators. The denominator will stay the same:

$\frac{24}{4}-\frac{1}{4}-\frac{16}{4}=\frac{7}{4}$

Insert:

$12*\frac{1}{4} +\frac{7}{4}$

Simplify multiplication. Use the rule $\frac{a}{b} *c=\frac{ac}{b}$ :

$\frac{12}{4} =3$

Insert:

$3+\frac{7}{4}$

Simplify addition. Convert the whole number to a fraction. Use the rule $a=\frac{a}{1}$ :

$\frac{3}{1} +\frac{7}{4}$

Multiply top and bottom of the first term by 4:

$\frac{12}{4}+\frac{7}{4}=\frac{19}{4} \\\\12a+(b-a-4)=\frac{19}{4}$

:Done

4 0

3 years ago

Read 2 more answers

an equation for the line perpendicular to the line 4x + 8y = 7 having the same y -intercept as −3x + 5y = −2

castortr0y [4]

4x + 8y = 7
8y = -4x + 7
y = -1/2x + 7/8 this equation has slope = -1/2

line perpendicular to the line 4x + 8y = 7, so the slope = 2

same y -intercept as −3x + 5y = −2
 y intercept means x = 0
 5y = −2
y = -2/5
so
b = -2/5

answer:
equation:

y = 2x - 2/5

8 0

2 years ago

The area of a square is 144cm2.what is the measurement of each side

Dmitry [639]

The area of a square is 144 cm^2. The measurement of each side is 12 cm

Solution:

Given, The area of a square is 144 $cm^2$

We have to find that what is the measurement of each side.

Now, we know that, area of a square = product of side value with another side value.

Let the side value of given square be "s"

Then, Area of square is given as:

$\begin{array}{l}{\text {area of square}=s \times s} \\\\ {\text {Area of square}=s^{2}} \\\\ {144=s^{2}} \\\\ {s=\sqrt{144}} \\\\ {s=\sqrt{12^{2}}}\end{array}$

On cancelling square root and square on right side,we get

s = 12

Hence, the side value of the square is 12 cm.

8 0

3 years ago