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Leno4ka [110]
3 years ago
12

What is 3 2/5 times 5/7

Mathematics
2 answers:
brilliants [131]3 years ago
6 0
2.428 is the answer to your question
Lesechka [4]3 years ago
3 0
Improper Fraction:
3 2/5 = 17/5
Multiply:
17/5 x 5/7 -cross multiply = 17/7
Simplify:
17/7 = 2 3/7
Final Answer: 2 3/7
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What is the rational number equivalent to <br> __<br> 3.24?
guajiro [1.7K]

Answer:

\frac{324}{100}

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is 3\frac{24}{100}

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

5 0
3 years ago
¿Cuál es el ángulo complementario de 9°?<br> ​
Ann [662]

Answer:

90 - 9 = 81°

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the missing side lengths leave your answer as a racials simplest form
Aleksandr-060686 [28]

Answer:

m=7\sqrt3

n=7

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90°  triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is \frac{a}{2}, and the leg opposite from the 60 degree angle is \frac{a\sqrt3}{2}

In this case, a=14, n=\frac{a}{2}, and m=\frac{a\sqrt3}{2}

Now substitute the value of a into the formulas to find n and m to find the lengths of those sides

So that means that n=\frac{14}{2}, which is equal to 7

And m=\frac{14\sqrt3}{2}, which simplified, is equal to 7\sqrt3

Hope this helps!

7 0
3 years ago
"An integer is negative if and only if it is less than zero."
Lostsunrise [7]

Answer:

  • <em>An integer is not negative if and only if it is not less than zero.</em>

Step-by-step explanation:

Observing each statement individually:

  • <em>An integer is negative if and only if it is not less than zero</em>

A number that is NOT less than 0 is greater than zero. Negative numbers are less than 0, so this is clearly incorrect.

  • <em>An integer is not negative if and only if it is less than zero.</em>

A number that is NOT negative is positive. Positive integers are integers greater than zero, so this is also incorrect.

  • <em>An integer is not negative if and only if it is not less than zero.</em>

A number that is NOT negative is positive. A number that is NOT less than zero is greater than zero, or positive. This statement is correct.

  • <em>An integer is less than zero if and only if it is not negative.</em>

A number that is less than zero is negative, and this statement claims that a number less is only less than zero if it is NOT negative. This is incorrect.

8 0
3 years ago
Read 2 more answers
Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation
Kryger [21]

Answer:

y + x - 6 = 0

Step-by-step explanation:

Given

M(0,6) \ and \ N(6,0)

Required

Find the equation of the line

First, the slope of the line has to be calculated using the following formula;

m = \frac{y_2 - y_1}{x_2 - x_1}

where\  (x_1,y_1) = (0,6) \ and \ (x_2,y_2) = (6,0)

So, the equation becomes

m = \frac{0 - 6}{6 - 0}

m = \frac{-6}{6}

m = -1

The equation of the line can then be calculated using

m = \frac{y - y_1}{x - x_1} \ or \ m = \frac{y - y_2}{x - x_2}

Using \ m = \frac{y - y_1}{x - x_1}

-1 = \frac{y - 6}{x -0}

-1 = \frac{y - 6}{x}

Multiply both sides by x

-1 * x = \frac{y - 6}{x} * x

-x = y - 6

Add x to both sides

x -x = y - 6 + x

0 = y - 6 + x

Reorder

y + x- 6 = 0

Using \ m = \frac{y - y_2}{x - x_2}

-1 = \frac{y - 0}{x - 6}

-1 = \frac{y}{x - 6}

Multiply both sides by x - 6

-1 * (x-6) = \frac{y}{x - 6} * (x-6)

-1 * (x-6) = y

-x+6 = y

Add x - 6 to both sided

x - 6 -x+6 = y +x - 6

0 = y + x - 6

y + x - 6 = 0

Hence, the equation of the line is y + x - 6 = 0

3 0
3 years ago
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