Answer: 11.78
Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.
Answer:
12
Step-by-step explanation:
To find the common difference, we take the 2nd term and subtract the first term
17-5 =12
We check it with the 3rd term minus the second term
29-17 = 12
The common difference is 12
We add 12 each time
Answer:
420
Step-by-step explanation:
We can find the prime factors of each of the numbers first before finding their LCM.
12: <em>2</em> × 2 × <u>3</u>
30: <em>2</em> × <u>3</u> × 5
42: <em>2</em> × <u>3</u> × 7
To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are <em>2</em> and <u>3</u>. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.
LCM: <em>2</em> × 2 × <u>3</u> × 5 × 7 = 420
Answer:
0.5 inch on the drawing
Step-by-step explanation:
The following information is missing:
<em>The scale factor of the drawing to the actual flag is represented by the ratio 1:18. </em>
This scale factor means that 1 inch on the drawing are equivalent to 18 inches o
n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:
1 inch on the drawing / x inch on the drawing = 18 inches o
n the actual flag / 9 inches o
n the actual flag
x = 9/18 = 0.5 inch on the drawing
Place the right angle at the origin. Short leg on x-axis.
The forth corner of the square is the point on the hypotenuse where the line y = x intersects. (Draw a diagram!)
In this case the hypotenuse is y = -4x/3 + 8
x = -4x/3 + 8
7x/3 = 8
7x = 24
x = 3.428571429
