30/4 as a mixed number?

Answers

Answer 1
Answer: the answer is 7 2\4 because 30/4=7 2\4

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Estimate the sum of 502 and 47 by rounding both values to the nearest ten. What is the best estimate of the sum?
Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $186 in tips for a total of $301. Which equation can be used to find how many hours, h, Mary worked last week?A. $301 = $5h + $186B. $301 = $186h + $5C. $301 = $186h - $5D. $301 = $5h - $186
Which pf the following show 2/8=1/4?

Evaluate,
10^-4    
                                 
 thanks

Answers

With 10 to the power to a negative number, it's easier. 
Here's a trick: The negative number is the places to the right of the decimal. The last number is a 1, while the rest are 0s.

From this, we get: 10^(-4)=\boxed{0.0001}
10^4 = 10000 (four zeros at the end)
10^-4 = 0.0001 (four zeros at the front)

Three times a number minus 9 is equal to two times the number plus 7

Answers

Answer:

n=16

Step-by-step explanation:

Make an equation

Three times a number minus 9–> 3n-9

Times means multiply, and minus means subtract

Equals two times the number plus 7–> =2n+7

Times means multiply, and plus means add

3n-9=2n+7

Solve for n, by getting n by itself

Subtract 2n from both sides

3n-2n-9=2n-2n+7

n-9=7

Add 9 to both sides

n-9+9=7+9

n=16

Nolan drew a right triangle. how many acute angles did he drew?

Answers

2 acute angles because all of the angles of the triangle must add up to 180 degrees. If you used 90 degrees already you only have 90 degrees left to make the other two angles.

Use the distance formula to find the distance between (1 3) and (-2 9) rounded to the nearest hundredth

Answers

Answer:

D = 6.71

Step-by-step explanation:

The distance formula is D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }

Decide which point will be Point 1 and Point 2.

Point 1: ( 1,3 )          x₁ = 1     y₁ = 3

Point 2: (-2, 9)       x₂ = -2   y₂ = 9

Substitute the information into the formula.

D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }

D = \sqrt {(-2 -1)^(2) +(9 -3)^(2) }    Simplify within the brackets

D = \sqrt {(-3)^(2) +(6)^(2) }   Square each number

D = \sqrt {9 +36 }     Add

D = \sqrt {45 }   Exact answer as a radical (root number)

D = 6.708....    Answer in decimals

D = 6.71   Rounded answer to nearest hundredth

The nearest hundredth is the second place value. It rounds up because the value after it is "8", which is greater than 4.

Final answer:

The distance between the points (1, 3) and (-2, 9) can be found using the distance formula in geometry. The entire sequence of calculation results in the square root of 45 which, rounded to the nearest hundredth, would be approximately 6.71.

Explanation:

The distance formula is a tool in geometry that can be used to find the distance between two points in a coordinates plane. Given two points (x1, y1) and (x2, y2), the formula is:

Distance = sqrt((x2-x1)² + (y2-y1)²)

Applying this formula to find the distance between the points (1, 3) and (-2, 9) would look like this:

Distance = sqrt(((-2)-1)² + (9-3)²)

Distance = sqrt((-3)² + 6²)

Distance = sqrt(9 + 36)

Distance = sqrt(45)

Then, if we round to the nearest hundredth, the distance would be approximately 6.71.

Learn more about Distance Formula here:

brainly.com/question/11231122

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Find the mean of this set of numbers.5, –11, 7, 12, –1, 0

A.
6

B.
2

C.
–2

D.
–6

Answers

mean is basically average
basically find how many terms (there are 6 terms)
then add them all together
5+-11+7+12+-1+0 =12
then divide the sum by the number of terms
12 divided by 6=12/6=2

the answer is 2 or B

Find the slope determined by the following pair of points:

(1/15,0) (2,1/4)

Answers

Answer:

\large\boxed{m=(15)/(116)}

Step-by-step explanation:

The formula of a slope:

m=(y_2-y_1)/(x_2-x_1)

We have two points:

\left((1)/(15),\ 0\right),\ \left(2,\ (1)/(4)\right)

Substitute:

m=((1)/(4)-0)/(2-(1)/(15))=((1)/(4))/((30)/(15)-(1)/(15))=((1)/(4))/((29)/(15))=(1)/(4):(29)/(15)=(1)/(4)\cdot(15)/(29)=(15)/(116)