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ollegr [7]
3 years ago
12

HELP PLSSSS I will GIVE BRAINLYEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
hammer [34]3 years ago
4 0
First we convert 3 5/6 to 21/6 by multiplying 3 to 6 and then adding 5 to it.

➡️ 3*6+5/6 = 21/6

Then to make it easier to add you convert 1/3 to 2/6 which is equal to 1/3.

➡️ 21/6 + 2/6 = 23/6
You might be interested in
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches. What a
swat32

Answer:

3 Inches by 5 inches

Step-by-step explanation:

Because when you enlarge you times so now you divide them.

8 0
4 years ago
Read 2 more answers
What is 9/20 as a decimal and percent?
vlabodo [156]

Answer: 45%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.

\frac{9}{20} = \frac{n}{100}

Now, we can use cross products to find the missing value.

900 = 20n

÷20   ÷20   ← <em>divide by 20 on both sides</em>

<em>   45 = n</em>

Therefore, 9/20 is equal to 45 over 100 or 45%.

<u>___________________________________________________</u>

Answer: 0.45

Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.

Therefore, 9/20 is equivalent to 0.45.

7 0
3 years ago
Read 2 more answers
Question 2
Sholpan [36]

Answer: each time the pentagon is rotated 72, it maps back onto itself. There are five values of a for which the pentagon maps back onto itself. this is the same as the number of sides of the pentagon.

Step-by-step explanation: edmentum

7 0
4 years ago
A line contains points M(1,3) and (5,0). What is the slope of mh
xeze [42]

Answer:

Slope = - 3/4

Step-by-step explanation:

M(1,3) and (5,0)

Slope = (3 - 0)/(1 - 5) = -3/4

Answer

Slope = - 3/4

3 0
3 years ago
Help Please Screenshot Attatched
Semmy [17]

Answer:

There is a minimum value of 8.5 located at (x,y,z) = (2, 1.5, -1.5).

Step-by-step explanation:

f(x,y,z) = x² + y² + z², 4x + 3y − 3z = 17

Solve for z in the constraint:

z = (4x + 3y − 17) / 3

Substitute:

f(x,y) = x² + y² + (4x + 3y − 17)² / 9

Find the partial derivatives:

∂f/∂x = 2x + 2(4x + 3y − 17) / 9 (4)

∂f/∂x = 2x + 8/9 (4x + 3y − 17)

∂f/∂y = 2y + 2(4x + 3y − 17) / 9 (3)

∂f/∂y = 2y + 2/3 (4x + 3y − 17)

Set the partial derivatives to 0:

0 = 2x + 8/9 (4x + 3y − 17)

0 = 18x + 8 (4x + 3y − 17)

0 = 18x + 32x + 24y − 136

0 = 50x + 24y − 136

0 = 25x + 12y − 68

0 = 2y + 2/3 (4x + 3y − 17)

0 = 6y + 2 (4x + 3y − 17)

0 = 6y + 8x + 6y − 34

0 = 8x + 12y − 34

Solve the system of equations.

0 = (25x + 12y − 68) − (8x + 12y − 34)

0 = 17x − 34

x = 2

y = 1.5

Solve for z:

z = (4x + 3y − 17) / 3

z = -1.5

Evaluate the function at the point:

f(2,1.5,-1.5) = (2)² + (1.5)² + (-1.5)²

f(2,1.5,-1.5) = 8.5

There are a number of ways to determine whether this is a minimum or maximum.  One is by finding the second partial derivatives and evaluating at the point.

∂²f/∂x² = 50/9 > 0

∂²f/∂y² = 4 > 0

Both are positive, so the extremum is a minimum.

Another way is by simply evaluating the function at a different point and comparing.

f(x,y) = x² + y² + (4x + 3y − 17)² / 9

f(0,0) = 0² + 0² + (0 + 0 − 17)² / 9

f(0,0) = 32.111

This is greater than f(2,1.5,-1.5), so f(2,1.5,-1.5) must be a minimum.

5 0
3 years ago
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