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1 year ago

Evaluate the expression shown below and write your answer as a fraction in simplest form 3/20 + 7/16

Mathematics

1 answer:

slavikrds [6]1 year ago

3 0

Answer:

Add

3 over 20

+ 7 over 16

= 47 over 80

Step 1 of 2: Add, sub-step a: Find the common denominator.

Find common denominator

3 over 20

+ 7 over 16

= ( 3 × 4 ) over ( 20 × 4 )

3 × 4

20 × 4

+ ( 7 × 5 ) over ( 16 × 5 )

7 × 5

16 × 5

= 12 over 80

+ 35 over 80

80 is the least common multiple of denominators 20 and 16. Use it to convert to equivalent fractions with this common denominator.

Add

12 over 80

+ 35 over 80

= ( 12 + 35 ) over 80

12 + 35

= 47 over 80

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

47 over 80

Step 2 of 2: Simplify, sub-step a: Reduce the fraction to the lowest terms.

Reduce the fraction to lowest terms

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3 years ago

What is 66 2/3 as a fraction

beks73 [17]

66 x 3 = 198
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As an improper fraction, anyway. 66 2/3 is already *technically* a fraction.

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3 years ago

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What are the solutions of this quadratic equation?X2 - 10x= -34A.r=-8, -2B.r= 5 + 3iC.r=-5 + 3iD.r=-5 + 159

ololo11 [35]

The given equation is-

$x^2-10x=-34$

First, we move the independent term to the other side.

$x^2-10x+34=0$

Now, we have to use the quadratic equation to find the solutions.-

$x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Where, a = 1, b = -10, and c = 34.

Replacing these values in the formula, we have.

$\begin{gathered} x_{1,2}=\frac{-(-10)\pm\sqrt[]{(-10)^2-4(1)(34)}}{2(1)} \\ x_{1,2}=\frac{10\pm\sqrt[]{100-136}}{2}=\frac{10\pm\sqrt[]{-36}}{2} \end{gathered}$

But, there's no square root of -36 because it's a negative. To solve this issue, we use complex numbers that way, we would have solutions.

$x_{1,2}=\frac{10\pm\sqrt[]{36}i}{2}=\frac{10\pm6i}{2}=5\pm3i$ <h2>Therefore, the solutions are</h2> $\begin{gathered} x_1=5+3i \\ x_2=5-3i \end{gathered}$ The right answer is B.

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1 year ago

Find the slope of a line that includes the points (10, 8) and (-5, 8).

Pavlova-9 [17]

Answer:

Step-by-step explanation:

First, you have to plug it into the formula to find the slope.

$\frac{rise}{run}$ = $\frac{y2-y1}{x2-x1}$

$\frac{8-8}{-5-10} =\frac{0}{-15}$

Since 0 divided by anything is 0, that gives us 0 as a slope and it would be horizontal.

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2 years ago

alexis rode her bike 4.5 miles. johnny rode his bike 8.1 miles. how many more miles did johnny ride his bike?

Ahat [919]

Hey there!

The key word in there is Many more. Whenever you see that word, it usually means to subtract

So you would subtract 4.5 from 8.1
8.1
-4.5= 3.6

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3 years ago

Read 2 more answers

Evaluate the expression shown below and write your answer as a fraction in simplest form 3/20 + 7/16 ​

Evaluate the expression shown below and write your answer as a fraction in simplest form 3/20 + 7/16