Find the circumference of the metal frame?
C = pi * d
Where 'd' is the diameter.
In this case, the diameter is 14, because that is the given information from the question.
Plug it in along with 3.14 for pi:
C = 3.14 * 14
C = 43.96
So it's approximately 44
First you multiply 5*5 which is 25 and then you multiply 25*12 which is 300 and 300*14 is 4,200.so your answer is 4,200
Answer:
The mentioned number in the exercise is:
Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
- x = hundredths digit
- y = tens digit
- z = ones digit
We can write:
- x = z + 1 (the hundreds digit is one more than the ones digit).
- y = 2x (the tens digit is twice the hundreds digit).
- x + y + z = 11 (the sum of the digits is 11).
Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
- x + y + z = 11
- (z + 1) + y + z = 11 (remember x = z + 1)
- z + 1 + y + z = 11
- z + z +y + 1 = 11 (we just ordered the equation)
- 2z + y + 1 = 11 (z + z = 2z)
- 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
- 2z + y = 10
- 2z + (2x) = 10 (remember y = 2x)
- 2z + 2x = 10
- 2z + 2(z + 1) = 10 (x = z + 1 again)
- 2z + 2z + 2 = 10
- 4z + 2 = 10
- 4z = 10 - 2
- 4z = 8
- z = 8/4
- <u>z = 2</u>
Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
- x = z + 1
- x = 2 + 1
- <u>x = 3</u>
And we'll use the second equation to obtain the value of y (the tens digit):
- y = 2x
- y = 2(3)
- <u>y = 6</u>
Organizing the digits, we obtain the number:
- Number = xyz
- <u>Number = 362</u>
As you can see, <em><u>the obtained number is 362</u></em>.
The final price is $ 40
<em><u>Solution:</u></em>
A store in Minnesota advertises that on a holiday, everything is 20% off
Discount = 20 %
A person buys shoes for $40 and socks for $10
<em><u>Therefore, Total price before discount is given as:</u></em>
Total price = 40 + 10 = 50
Therefore,
Total price before discount = $ 50
Discount = 20 %
Therefore, discount price is 20 % of 50
Thus the discount price is $ 10
<em><u>Final price is given as:</u></em>
Final price = Total price before discount - discount price
Final price = 50 - 10 = 40
Thus the final price is $ 40
Answer:
y = x
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-8 - 0) / (-8 - 0)
-8 / -8
= 1
So, the slope is 1.
Plug in the slope and a point into y = mx + b and solve for b:
y = mx + b
-8 = 1(-8) + b
-8 = -8 + b
0 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = 1x + 0
y = x
So, the equation of the line is y = x
